diff --git "a/data/dm_maths/full_data_1/2476_11255.jsonl" "b/data/dm_maths/full_data_1/2476_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2476_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b(r) be the third derivative of -r**6\/40 - 2*r**5\/5 - 9*r**4\/8 + 9*r**3 - 21*r**2 - 40. Factor b(d).\nAnswer: -3*(d - 1)*(d + 3)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(24)\/((-2*sqrt(144))\/sqrt(12)).\nAnswer: -4 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.5. Let w be -31 - -27 - (17\/(-3) - -2). Let i = -928 + 932. Put c, -0.8, i, w in descending order.\nAnswer: i, w, c, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1217499 and 258579.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105.8 - 105.752. Put -0.3, s, -9 in ascending order.\nAnswer: -9, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f + 3. Let o = -27 + 32. Suppose -b = -o + f. Sort b, -5, 1.\nAnswer: -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60603, -60265, -59703, -58917, -57907?\n\"Answer: 112*s**2 + 2*s - 60717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 6:59 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/440 (c) -16 (d) -0.273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949*f - 1603726 + 282496 = 919*f. What are the prime factors of f?\nAnswer: 44041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-5)*4\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12428473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 30*u**2 + u**2 in the form f*u**2 + m + w*u and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.7719237 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2802937 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -58129, 11 in descending order.\nAnswer: 11, 5, -58129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -26. Suppose -2*k = 8 - 48. Suppose -5*u - r = -c - c, 5*c + 5*u - k = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/803 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/11, 13, -3, -0.2, 0.4, -11\/10, 458?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 + 7*s - 8. Let m be 3*(-4)\/((-36)\/21). Let p be b(m). Let y = p - -19. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1 - 15*j + 8*j + 1. What is the units digit of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Let x = -4.5 - -0.5. Which is the second biggest value? (a) x (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-357))\/(220\/(-385))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -70174 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/10067?\nAnswer: 4\/10067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93188718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 36868*p**2 - p**3 - 2*p - 163*p**4 + 36866*p**2 as h*p**4 + c*p**3 + a*p**2 + f*p + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*(sqrt(99) + 2 - (sqrt(1100) + 1 + sqrt(1100))**2)*-5.\nAnswer: 2220*sqrt(11) + 263940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 9. Let g be m(4). Let v(l) = -l + 6. Let o be v(2). Suppose o*x - g = 5. Solve -2*c = j - x*c - 1, -17 = 3*j + c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -23 + (2951\/(-390) - (-1)\/6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9859? (a) -4 (b) 13 (c) 0.1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13600623023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/9 (b) -3\/4 (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -17\/7, -4, 0.7, 4 in descending order.\nAnswer: 4, 0.7, -0.3, -17\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2566 - 5?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98685 and 2439.\nAnswer: 26743635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (156570\/(-1155))\/(-17) - (38 - 6)\/4?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/11 - 83624*h\/11 + 1083176 = 0 for h.\nAnswer: -41954, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*c + 56 = -c, -5*p - 4*c + 80 = 0. Suppose -2*n = -38 - 30. What is the remainder when n is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*q = -15, 4*a + q = 5*a. Suppose 13 - 128 = -5*z - i, a*z = 4*i + 115. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 215, 494, 833, 1232, 1691, 2210, 2789?\n\"Answer: 30*n**2 + 189*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - 3) + 6 + (2 - 15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*u**2 - 2049 + 3943 - 243*u**2 - 1894.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1*(2 - 1). Let g(x) = x**3 + 4*x**2 - 5*x - 5. Let m be g(-4). Suppose -m*o + 12*o = 0. What is the third smallest value in w, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6086773.\nAnswer: 7, 11, 137, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/21 - -1\/21. What is the closest to 0.1 in 0.01, -0.1, o?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9 + 49214*f - 24609*f - 24616*f.\nAnswer: -11*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21517398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/8))\/((a\/((a*a**(-15))\/a))\/a) assuming a is positive.\nAnswer: a**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 - -162 - 112) + 102?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + ((-4)\/1)\/(-1). Let w = u - -39. Suppose 4*j = -c + 47, -w = -c + 5*j + 12. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 20644230*j + 21309211614645.\nAnswer: 5*(j - 2064423)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 17*t - 15. Calculate the lowest common multiple of z(15) and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7. Suppose p = -r - 11 + 5. Let w = 9 + r. Solve 4 = -w*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1655\/45 + 4\/18. Suppose 5*a - u = 83. Calculate the highest common divisor of a and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (24 - (-3)\/(-1))*1 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*x = -153*x - 5*a - 20, x - 2*a - 8 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.204 and -0.076?\nAnswer: -0.015504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdudukkznjuunk. Give prob of picking 1 u and 1 k.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*d + 5*x + 39, -4*d + 2*x + 114 = 0. Suppose d*g = 32*g - 240. Let c = 647 + -630. What is the remainder when g is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**3 + y**2 + y - 7. Is q(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 17 (b) 0 (c) 0.4 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 12*r - 15. Let t be y(-12). Suppose -t - 203 = -5*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 8 + 74 - (6 + (-2 - -1))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 3. Let u(m) = -4*m + 2. Let t be u(p). Suppose -3*w - t = -5*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 21, -53 in descending order.\nAnswer: 21, 1, -11, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -4, -2, 437, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -46*u - 18. Let q(m) = m**2 - 40. Calculate q(i(j)).\nAnswer: 2116*j**2 + 1656*j + 284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*r - 9. What is the lowest common multiple of 1 and (-3 + -1)*r\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-7) - (-21)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.6. Let v = w + 0.07. What is v rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 25319*v + 12658*v + 12630*v to the form c*v + o and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 >= -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35703 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 153*z - 2769. Let c be b(132). Let p(y) be the first derivative of 2*y + 37 + 1\/3*y**c + 1\/2*y**2 - 3\/4*y**4. Give p(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9066 divided by -2\nAnswer: -4533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 999 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 7872*c**2 + 10328064*c + 4516806656 = 0 for c.\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*(-21)\/(-51).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15 = -15 - 15, -4*c - 7 = 4*h + c - 2*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-20) - 16\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 28 - 8. Let v(m) = -m**3 - 4*m**2 - 7. Determine v(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 961.4 - 954.073. Sort l, 0.2, -2 in descending order.\nAnswer: l, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6772.7087*0.5.\nAnswer: 3386.35435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6338*f**5\/7 + 18926*f**4\/7 - 18750*f**3\/7 + 6074*f**2\/7 + 88*f\/7 = 0.\nAnswer: -44\/3169, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46.3812 meters?\nAnswer: 46381.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -78*w + 4849. Let b be o(4). What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 6930424.\nAnswer: 34652120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111804\/25 - 4470. What is the common denominator of y and 31\/45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2802 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, 1 u, and 1 i when four letters picked without replacement from ihpuse?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 - 2*f**2 - 4*f - 3. Let o be t(-2). Let x be ((-7)\/o)\/(1\/(-9)). Find the third derivative of -2*z**5 - 3 - 2*z**2 - x + 6 wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-1212)*-1*(115\/92)\/(315\/(-567))\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 161026*y**2 + 3240930032*y + 9724239384.\nAnswer: 2*(y - 40258)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28433766447 - 0.054?\nAnswer: -28433766447.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 27. Sort -3, -5, 0, z in ascending order.\nAnswer: -5, -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-836)\/110)\/((-18)\/6840*36 - 2\/19).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19 - 2*c - c - 6 + 3. Let h be x(-9). Find n, given that -h*n**4 + 9*n - 5*n**3 - 10 + 35*n**2 - 5*n + n - 20 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291.\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 676 + -271. Suppose 0*p - n = -3*p. Suppose 12 = 5*u + 2*d - p, 4*d + 54 = 2*u. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 15. Let r = -354.1 - -117.1. Let m = 236.5 + r. What is the smallest value in m, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2108 = -6*n + 8*n, 3*o = -5*n + 1261. List the prime factors of o.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/57)\/(33*38\/1881).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 7575*x**2 + 45315*x + 67905.\nAnswer: 5*(x + 3)**2*(x + 1509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59.41538 and -11.3451.\nAnswer: -70.76048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 24*i**2 + 19*i + 18. Suppose 11*k - 1397 = -138*k + 22*k. Determine m(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 + 1101?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-14)\/12 + -2 - -2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 180?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c59e - -1520?\nAnswer: 1dabe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 860.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 18*i - 34649856 = 0. Suppose 5*c - 3849996 = -w, 10*c = 5*c - 4*w + i. What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2053, 0.08, 0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2 + 8*o**2 + 54161 + 345*o**4 - 54163 wrt o?\nAnswer: 8280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 - -5.083. Let a = r + 0.014. Let d = -0.00281 - a. Round d to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -11. Let d(h) = -h**3 + i*h - 6*h. Let u(c) = -2*c**3. Let n(r) = 3*r**3. Let l(x) = 6*n(x) + 10*u(x). Calculate 9*d(p) - 4*l(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6, -9*r + 4*r + 48 = 3*w. Suppose 2*g = -w*g + 65. Put 5\/6, g, -0.01, -2\/5 in increasing order.\nAnswer: -2\/5, -0.01, 5\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 450, 545, 686, 879, 1130, 1445, 1830?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*u + 16, 2*u - 4*u - 26 = 5*c. Let q be 34\/3 - (2 + 10\/c). Let y = q + -9. Solve -y*n + 4 = -4, -4*n + 26 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 4, -60.\nAnswer: -60, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -29*c + 45. Let v be x(6). Which is bigger: v or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 28*u + 3 - 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9758.\nAnswer: 2, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p + 2*p**2 - 2\/9*p**3 + 0 + 1\/45*p**5 + 0*p**4. Let w(d) be the first derivative of o(d). Factor w(c).\nAnswer: 4*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 1:39 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4510403 (base 7) in base 12?\nAnswer: -22a57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1654104*l**4 - 2077716*l**3 - 459774*l**2 - 37191*l - 1029 = 0.\nAnswer: -1, -7\/82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5043, 40, -0.5 in ascending order.\nAnswer: -0.5043, -0.5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -26*b**3 - 908*b**2 + 70*b = 0?\nAnswer: -35, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - ((-19 - (22 + -52 - -7)) + 0 + 1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 - 3*n**2 - 2*n + 3. Let w be b(-3). Suppose 6*m + 68 - 8 = 0. Let a be (m\/6)\/(13\/(-78)). Calculate the greatest common divisor of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2223, -2233, -2229, -2199, -2131?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*p + 3178 + 3385 = 15843 + 17828 for p.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(684)*-2*-1*-6)**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*l**2 - 335*l**2 + 4*l**2 + 11*l**2 + 12*l**2 + 291*l**3.\nAnswer: 291*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 1:48 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*c + 4 - 0, -3*k = 5*c - 26. Let h be (-212)\/(-12) + 4\/k. Let x(a) = -1785 + 1785 - h*a**2. Let s(j) = -j**2. Give s(x(v)).\nAnswer: -324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -73*d**2 - 16*d + 36. Let a(r) = -25*r**2 - 6*r + 13. Let u(v) = -8*a(v) + 3*s(v). Let h(c) = -210*c**2 + 45. Give -4*h(n) + 45*u(n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0524 + 0.5524. Suppose -1 = -5*y - 21. What is the second smallest value in y, -3, u, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 16 + 69 + -64\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 3*o**2 - 4*o + (-2 + 0 - 1)*(0*o - o**2 + 0*o) + 4*o**2 + o**2 - 4*o**2 + (-4*o + 2*o + 3*o)*(0*o + 0*o + 2*o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iufkuikeefffffi. What is prob of picking 1 i, 1 u, and 1 k?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*o - 3*o - 16, -6 = 3*o - 3*b. Let t(v) = -v + 4*v**2 + 2*v**o + 1 - v**3 + 4*v + 0*v**3. What is t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 703536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2 - 34*c + 2177640 = 0. What is c?\nAnswer: -1052, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 834245381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**2 - j. Let x(d) be the third derivative of -d**5\/60 + d**4\/24 + 2*d**2 + 750*d. Give -w(f) + 2*x(f).\nAnswer: 4*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 38320928*d + 91780845173824.\nAnswer: 4*(d + 4790116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -12*c + 421 - 43. Let p(l) = l**2 + 5*l + 6. Let s be p(-5). Calculate the highest common divisor of c and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31\/19 + 866\/133. Suppose 3*o + 109 + 94 = -k, -2*o - 2*k = 142. What is the common denominator of p and (4\/o)\/((-8)\/48)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-15) + -6*(-1)\/3. Put -2\/7, d, 1\/3, 0.4 in increasing order.\nAnswer: -2\/7, d, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2471086632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.299 + 0.399. Put -5, 3, -2, p in ascending order.\nAnswer: -5, -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3, -177015 in decreasing order.\nAnswer: -1, -2, -3, -177015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 - -1438.8\nAnswer: 1459.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 75\/(-12))*12\/9. Let i(v) be the second derivative of v**3\/2 + v. Let t be i(j). Solve -4*r + 0*r + 2*h + 8 = 0, r - 4*h = t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - 68) + (-7 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2717*v**3 + 116998*v**2 wrt v?\nAnswer: -16302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + -1 + (0 - 1) - (992 - 982).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 925\/518 - 9\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 5, 2201 in decreasing order.\nAnswer: 2201, 5, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {e: 1, b: 1, o: 1, g: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:04 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*v**3 + 7 - 106*v**3 - 7.\nAnswer: -206*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:14 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + g)*(g**2 + 7*g**2 + 9*g**2 - g**2 - 4*g**2 + 6*g**2 + (1 - 1 + 2*g)*(3*g - 5*g + 0*g) + 34 - 34 - g**2).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - ((sqrt(847) + (sqrt(847)*-3 - sqrt(847)))*-6 - sqrt(847))) + sqrt(847) + sqrt(847) + sqrt(847)*-2 + 3)**2.\nAnswer: -1056*sqrt(7) + 216841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 21. Suppose -k*w = -w - 10. Calculate the remainder when 51 is divided by w - 3\/(-6)*22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1551 and 9669?\nAnswer: 454443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.68? (a) -3 (b) 3\/436 (c) 4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37778 - 37783. What is the second smallest value in -14, 9, 10, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -42961.55\nAnswer: -257769.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 16 - 52 = -8. Solve -4*h - 12 = f*b - 2*b, 15 = b - 5*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 45, 102, 183, 288, 417?\n\"Answer: 12*c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 20*y**2 - 53*y - 30. Calculate v(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0*b**3 - b**3 + 0*b**3 + 4*b**2 - 3 + 3*b. What are the prime factors of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46878 less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, f: 8, y: 1, q: 6}. Give prob of picking 2 q and 1 e.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 5. Suppose i - 5*i + 8 = 0. Suppose i*c - c = -7. What is the units digit of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 + 41*k**3\/3 - 268*k**2 + 672*k.\nAnswer: k*(k - 12)*(k - 3)*(k + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165051?\nAnswer: 3, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -276872 (base 10) in base 5?\nAnswer: -32324442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7958481033.\nAnswer: 3, 67, 199, 198967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -98.06. Let n = -1 + w. Is -1\/3 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670166.2ug to nanograms.\nAnswer: 670166200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 = 0, -4*z + 176 = 4*u - 0*z. Let g = u - -3. Suppose 0 = 5*d + 2*y - g, -2*y - 46 = d - 4*d. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7718, -15448, -23186, -30926, -38662, -46388?\n\"Answer: c**3 - 10*c**2 - 7707*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p + p)*(-1241 - 2728 - 113).\nAnswer: -20410*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*m = -157*m + 3366. Suppose 4*x - 852 = -f, -4*f + m = -2*x - 2322. What are the prime factors of f?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 3*q**2 - 3. Let b be w(3). Calculate the remainder when 44 is divided by ((-18)\/b)\/((-1)\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11090)\/(-30)*(0 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:55 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246 a factor of 2273384316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/120*q**6 - 1\/20*q**5 - 1\/4*q**4 + 0*q - 5*q**2 + 0 - 1\/6*q**3. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/3)*g*g*g)\/(g\/((g\/g**3)\/g*g)))\/(g**(-1)\/g)**15*g**(4\/3)\/g**(3\/7)*(((g\/g**(-2\/5)*g*g)\/g)\/g)**(-2\/43) assuming g is positive.\nAnswer: g**(48922\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (5 - 5\/(-15)))*1\/(-18).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 156 = -5*h, 448*h - b - 51 = 446*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129 * 1.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, -0.0569, -4.5, -0.03, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k + 2*z, -k = 105*z - 102*z - 8. Let d be ((-35)\/(-14))\/((-5)\/(-12)*1). Put d, -7, k in descending order.\nAnswer: d, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933687123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24107664 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -3*m**6\/35 - 66*m**5\/35 - 475*m**4\/42 + 44*m**3\/7 + 484*m**2\/7 - 167*m + 2. Find s such that j(s) = 0.\nAnswer: -22\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2215, 6, -8, -3 in ascending order.\nAnswer: -8, -3, 6, 2215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148628?\nAnswer: 2, 73, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -31. Suppose 0 = n - 3, 4*u + 4*n - n + 11 = 0. Are i and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-45))\/(5\/((-30)\/(-4)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -63. Let c = -10 + u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*5*-4)**2 - sqrt(65)\/(sqrt(5)*2*-2).\nAnswer: sqrt(13)\/4 + 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o + 3235 + 1750 = 448*o - 2635 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10854*z**3 + 17*z - 1027723 wrt z?\nAnswer: -32562*z**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101200 (base 4) in base 2?\nAnswer: -10001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 - 1 = 0, 0 = -2*a + 2*n - 2. Let x be 0\/(4 - a) - -2. Let r be 17\/3 + 2\/(-3). Solve 0 = -x*q - 4*b, 2*q - 3*b - 3 = r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1109 - -353. Suppose 2*g - x = 694. What is the highest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 108383587, 216767173, 325150759, 433534345?\n\"Answer: 108383586*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -24*g - 1065. Let k(c) = 11*c + 525. Give -5*k(r) - 2*t(r).\nAnswer: -7*r - 495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*f + 25, -4*f + 3*f = 4. Solve 4*b = 3*m + 19, 3*m + 17 = -b + h*b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:29 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 8. Let d = -14.043 - -0.043. Let v = -18 - d. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1096?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b - 11*b + 263 = 168*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 8*i + 11. Is d(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -64*t - 4. Let q(f) = 11 + 15727*f + 1 - 15567*f - 2. Give 12*j(u) + 5*q(u).\nAnswer: 32*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/261 + 686\/261. Let 4\/3*w + 1\/6*w**2 + c = 0. What is w?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/140 and -35\/18.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 1894, 3596, 5284, 6952, 8594, 10204?\nAnswer: 11776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3161, 12638, 28395, 50402, 78629, 113046, 153623, 200330?\n\"Answer: -5*b**3 + 3170*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -53. Suppose f*u - 7 = -3. Let g be -53 + (-1 - (0 + u)). What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(64\/(-56))\/(-8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3651 * 0.4\nAnswer: -1460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006235139 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1524)\/8*318\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-16)*t**(4\/7) assuming t is positive.\nAnswer: t**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d - 0?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106*f**2 + 1171*f + 2794521?\nAnswer: -212*f + 1171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -1527222?\nAnswer: 4\/763611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 135703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2920 + (-30)\/(-5)*1. Suppose -4*d - r = -11*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1223 + -1215. Solve -2*s - 3*f - k = 0, 33*f - 31*f = -3*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 34*u - 1. Let m be 8\/44 + (-20)\/(-11). Let f be o(m). Suppose 0 = -2*a + 2*d + 22, a + 4*a = -d + f. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 255 - 255 - 1689*u**2 in the form m*u + k + n*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k. Let p be o(0). Let r(s) be the third derivative of -2*s**2 + 0*s**3 + 0 + 1\/30*s**5 + p*s**4 + 0*s. Let u(b) = -b**2. Determine r(u(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3521\/6 <= -587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3324, -3036, -2750, -2466, -2184, -1904?\nAnswer: -1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 12*l**2 + 10*l - 13. Let p be m(-11). Let c be ((-6)\/(-12))\/(p\/40). Let x = c - -36. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(143) - sqrt(143))*-5 + (sqrt(143) - sqrt(143)*-1*-2))\/(-2*sqrt(99)\/(2*sqrt(9))))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 47 = -12*b. Suppose 0 = -2*h - b*w + 17, -3*w + 35 = 5*h - 36. What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 32*l**2 + 5*l - 96. Let r be u(32). What is the highest common divisor of r and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f + 6*f - 15*f. Let k = -3 + 7. Let a(y) = -4*y - 3*y + y + k*y. What is c(a(q))?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11192353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, -4, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189996*o**3*v - 33102*o**3 with respect to v.\nAnswer: -189996*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3226\/17 + -190. Let b = -147 + 147. Which is smaller: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/3 - 34*j\/3 - 91 = 0?\nAnswer: -21, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4183191 (base 11) to base 8.\nAnswer: -34067675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 103?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/293 < 6368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 2*b**3 + 2 - 4*b**3 to w*b + i + k*b**2 + y*b**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let l(a) = -23*a**3 - 6*a**2 + 6*a + 18. Let i(b) = -b**3 + b**2 - b - 3. Give -5*i(h) - l(h).\nAnswer: 28*h**3 + h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a + 1. Let q be l(1). Find the common denominator of -63\/46 and q\/(-84) - (0 - (-1339)\/(-168)).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 15. Let x = d + 32. Solve -3*o - 20 = -4*j, x*o - 3*o = 2*j - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 54 + 3. Let p = -13 - r. Let g(j) = -2 + 2 + p*j. Let i(y) = 5*y. What is 4*g(x) - 5*i(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - g - 2*g + (2 - 5 + 2)*(-3*g + 4*g - 3*g))*(-3 + 0 + 0).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110093 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 m(a) = a. Let p(c) = 21*c**2 - 1150*c. Calculate p(m(i)).\nAnswer: 21*i**2 - 1150*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 11. Let k be (-39)\/a*48\/(-18). Let p = -24 + k. Solve p*j + 0 + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 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: What is the third derivative of -519*w**5 - 4*w**3 - 107*w**2 + 21*w - 1 wrt w?\nAnswer: -31140*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10134 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 24886\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 6*j**2 + 7*j**2. Let b(i) = 2*i - 8. Calculate b(g(o)).\nAnswer: 6*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02425913 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 18*t**2 + 31*t + 39. Give n(-11).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(320)*2) + (sqrt(88)\/sqrt(4))\/sqrt(2)*-4.\nAnswer: -63*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 733893, 1467784, 2201675, 2935566, 3669457, 4403348?\n\"Answer: 733891*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 5*j + 5. Let k(s) = 6*s**2 - 6*s + 6. Suppose 0 = -6*i + 523 + 467. Let m = -171 + i. Determine m*p(y) + 5*k(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26717108, 26717086, 26717064, 26717042, 26717020, 26716998?\nAnswer: 26716976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8996 - 9296. Let j = -590822571 + 590822270.9999693. Let y = j - v. Round y to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11436 - 0.00236. What is the smallest value in d, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 219*x + 2177. What is the least common multiple of g(-7) and 168?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 129, 1\/3, -2 in descending order.\nAnswer: 129, 1\/3, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14599155 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1634 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 12*r**2 + 13*r + 1. Suppose 158*k - 36 = 155*k. Suppose -36 = -k*q + 96. Determine y(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 12 = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845786.\nAnswer: 2, 3, 307631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.27956 millimeters in micrometers?\nAnswer: 78279.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 26. What is the hundreds digit of -3*g\/9*270\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(19))**2*3.\nAnswer: -6*sqrt(19) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*f**2 + 2 - 4*f + 0 + (1 - 1 - f)*(-7*f + 2*f - 5*f).\nAnswer: 12*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:22 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 16*y - 8. Calculate i(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(176) + -4*sqrt(176)*-1 + -4 + (-2 + sqrt(176) - sqrt(176)) + -4)*-6 + 1)**2.\nAnswer: -20496*sqrt(11) + 314185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13672 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62754091303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssns. What is prob of picking 1 s and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q**5\/5 - 1654*q**4\/15 + 14744*q**3\/15 + 960*q**2 = 0. What is q?\nAnswer: -100, -8\/9, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v. Suppose -2*w = -0*w - 70. Let h be 24\/14 - (-10)\/w. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/2))**(-1\/33)\/(u**(-1\/3)*u\/(u*u*u*u\/(u**3\/u)*u)) assuming u is positive.\nAnswer: u**(151\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8634909980724 + -12.\nAnswer: -8634909980736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from xxxdxxykxxdd?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-4 + 4 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 1. Let t be q(-1). Let i be 2\/(-2) - (-5 + -1). Suppose 0 = -i*c + t*g + 136, c + g - 18 = 14. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*y**4\/5 + 46*y**3\/5 - 52*y**2\/15 - 32*y\/15 = 0. What is y?\nAnswer: -8, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3))**37 assuming u is positive.\nAnswer: u**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 f, and 1 q when four letters picked without replacement from kfffqyyyfqkqf?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2128*u - 5485*u - 2496*u - 9495*u - 389*u.\nAnswer: -15737*u - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50747 times -2\nAnswer: -101494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 657 - 661. Which is the nearest to 0? (a) 118 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24312 divided by 336\nAnswer: 1013\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1195803161 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13502556 + -615?\nAnswer: 13501641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 69 - 70 + 8*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97266?\nAnswer: 2, 3, 13, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54479587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2)\/(23\/((-2415)\/42))*(-2120)\/200.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + 1. Suppose -2*z - 3*w + 296 = 108, 5*z - 448 = -2*w. Calculate the highest common divisor of c and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 27*n**2 - 137*n - 24. Let p be c(11). Let i = p - 351. Solve k - 50 = -i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7754.401 + 7759. Let w = u - 2.448. Let l = w + -2.2. What is l rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/105 - u**5\/70 + 4*u**4\/21 + 4*u**3\/7 - 7*u + 9. Factor z(v).\nAnswer: -2*v*(v - 3)*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 15)*5\/((-50)\/442315)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 - 7197\/(-21)) + (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k. Let d(t) = -t**2 - t + 21. Let y be d(k). Calculate the remainder when 3*(y\/9)\/1 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 23. Let q = -14 + s. Let t be (-3760)\/620 - -7 - (1 - 0). Sort t, 0.2, q in ascending order.\nAnswer: q, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 198\/(-15)*((-155)\/(-15) + -9). Let b be -337*(-2)\/40 - 0. Let a = r + b. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2922458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298740 is divided by 623?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005424916186 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 471, 683, 877, 1047?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8178 (base 10) in base 12?\nAnswer: -4896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - (182\/(-7) - -8)*17.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 16, -0.03, 2, -2\/27?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55129080 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599458 divided by -299729.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 7. Determine q(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5253759.3 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {k: 4, b: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14033687*y**3 - 2*y**2 + 169*y - 414.\nAnswer: 84202122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 8*z**2 + 5*z + 8. Let x be k(-9). Calculate the greatest common divisor of 1188 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171))**2 + 0.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*6\/12*-32?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**5 - b**5 + 7*b**5)*(0 + 2 - 4) + (4*b**3 - 13*b**2 + 13*b**2)*(3*b**2 + 3*b**2 - 5*b**2) + (2*b**2 - 3 + 3)*(-4*b**3 - 12*b**3 + 0*b**3).\nAnswer: -38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 0.05. Let k = i - -0.29. Which is the third biggest value? (a) k (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-2*k + 2*k - k)*(-7412 + 4010 - 7562) to p + n*k and give n.\nAnswer: -10964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, l: 5, v: 2}. What is prob of sequence lv?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 22851*j - 53. Let y be v(3). Round y to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12*2*40\/20?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 25, -34, -163, -386?\n\"Answer: -4*b**3 + b**2 + 12*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 3241.7 (b) -1\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 356 and 29.\nAnswer: 10324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699075.\nAnswer: 5, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 4. Let z be 6\/t + -3 + -3. Suppose z = -f - 0*f + 9100. Round f to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37103 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(((-28)\/32)\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*r - 151*r + 3 = -3*k, r - 5 = 5*k. What is the closest to r in 0.2, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 5864271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771, 3273, 7433, 13251, 20727, 29861, 40653?\nAnswer: 53103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7201902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, 0.12, 3 in ascending order.\nAnswer: -9\/2, 0.12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/35 (b) -2\/13 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a day in seconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -4\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185324*p**3*x + 6*p**2*x - 4*p*x - 11*p + 2*x + 18 wrt p?\nAnswer: 1111944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -334 - -526. Calculate the highest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 30230222?\nAnswer: 30230232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 5*d**2 - 2*d - 7. Let t be i(5). Let r be (-6 + 0 - t) + -3. Solve 0 = -4*w - 0 + r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**7\/35 - 29*i**6\/25 + 153*i**5\/50 + 89*i**4\/10 - 44*i**3 + 324*i**2\/5 + i - 165. Let z(y) = 0. What is y?\nAnswer: -2, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3249*g**4 - 1832892*g**3 - 258630676*g**2 - 36271968*g - 1272384 = 0.\nAnswer: -282, -4\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 368932728 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1397.1461 days?\nAnswer: 199.5923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 1, -127, -4, -7, 56?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - y**3 - y**4)*(-5 + y + 5) - 3*y**5 + 2*y**5 - y**5 + (y**2 - 2*y**2 + 12*y**2)*(5*y**3 - 2*y**3 - y**3).\nAnswer: 19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1122 = -62771*a + 62705*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65454 - 130896 + 65455 - s**2.\nAnswer: -s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*f = 56, 17*f + 94 = 5*k + 14*f. Find the first derivative of -2*x**2 - 30*x**4 + 2 + 4*x**2 - k + 29*x**4 wrt x.\nAnswer: -4*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941750 not equal to 941750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 911*q**2*r**3 - 61*q**2*r**2 - 3 wrt r.\nAnswer: 5466*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -27. List the prime factors of ((-279)\/(-15))\/((-6)\/(-15))*y.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000041487 rounded to 6 dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*x + x, 5*x = 3*u + 13. Let w be ((-46)\/4)\/(2\/((-16)\/u)). Suppose -25*i + 6 = -w*i. Calculate the highest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = -17*a + 3910. Is 200 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89 - 13*v - 89)*((-4 + 2 + 0)*(4*v - v - v) - v + 0*v + 0*v) to the form a*v + t + h*v**2 and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d*j**2*s + d*j*s + 2*d*s - 9*d + 43*j**2*s - 2*j*s - 516*s + 1 wrt j.\nAnswer: 10*d*j*s + d*s + 86*j*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2064\/(-1118) - (-40158)\/21879.\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 11*m + 16*m = -310, 2*l = -4*m + 106. Calculate the highest common factor of 8024 and l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 0.3 (c) -2 (d) -215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/35 + -3\/35. Sort h, -3\/4, -0.2 in decreasing order.\nAnswer: h, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4662, -9300, -13830, -18198, -22350, -26232, -29790, -32970?\n\"Answer: 9*a**3 - 4701*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001771515216 rounded to 7 dps?\nAnswer: 0.0001772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240\/791 + -2\/113. Let m = -35 - -35. What is the second biggest value in m, u, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/120 - 7*m**5\/60 - m**4\/6 + 13*m**3\/6 + 24*m**2. Let g be j(-6). Let t(s) = 14*s. Determine t(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2350987 = -155*l + 1358008. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -408 + 48. Suppose -2*v = 4*v - z. Solve 0 = 3*d - v*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 469 + -467. Let z(m) = 3*m**2 + 5*m - 1. Let x(o) = -13*o**2 - 21*o + 3. Determine f*x(u) + 9*z(u).\nAnswer: u**2 + 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.3. Let g = 0.003 + -0.049. Let y = g - -0.046. What is the closest to y in 0.4, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let y(t) be the second derivative of t**5\/60 - 7*t**2 - 14*t. Let d(l) be the first derivative of y(l). Determine o(d(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4496 is divided by 898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 18*p - 2644. List the prime factors of p.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 3873.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {r: 5, q: 2, m: 2, j: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1867*j = -305*j + 4382*j - 25262 + 185750 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*d - 5. Suppose -d*c + 12*c - 126 = 0. Calculate the least common multiple of c and (-2)\/(-4) + (-39)\/(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 + 185*x**4 - 1680*x**3.\nAnswer: -5*x**3*(x - 21)*(x - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3178 * 387\nAnswer: 122.9886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 103*s - 407. Calculate a(99).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -38. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3574 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4362*d**3 - 147*d**2 + 70*d**2 + 77*d**2.\nAnswer: 4362*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-9)*45\/(-10). Sort 6\/11, p, -4\/5, -3.\nAnswer: -3, p, -4\/5, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:57 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Suppose 9 = u*h - 45. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(18\/(-4)) + 0. Let w = 5 - l. Find the third derivative of -2*q**5 - 2*q**5 + w*q**2 + 13*q**5 wrt q.\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = -5*w. Let t = w - -4. What is the derivative of -2*x**3 - x**3 + t*x**3 + 3*x**3 + 2 wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**4 - 34014856*i**3 + 72313253838228*i**2 - 433878060391760*i - 506191348244848 = 0.\nAnswer: -1, 7, 4251854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 30*s**3 - 5*s**2 + 6*s - 14. Let p(w) = 15*w**3 - 2*w**2 + 3*w - 7. Let l(g) = -2*f(g) + 5*p(g). Let h = 452 - 449. Is l(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125979 is divided by 2097.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00442943921 rounded to five dps?\nAnswer: -0.00443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 11.4, 0, 47, -10 in decreasing order.\nAnswer: 61, 47, 11.4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 888875118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*i - 5841, -34 = -i - 29. Let x = 9342 - n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + 10.22. Which is the nearest to 1\/2? (a) -1\/6 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2}. Give prob of sequence bbj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 378*p**5 - 923*p**4 - 1206*p**3 + 3748*p**2 - 1224*p - 224 = 0. What is p?\nAnswer: -2, -7\/54, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.0477\nAnswer: -0.00954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46627\/8 - -5817. Calculate the common denominator of 25\/7 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 53 - 120 + 342*q.\nAnswer: 342*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2895 - 2894.8. Sort v, 4, -3 in decreasing order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/38*11\/(165\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/151569 and -55\/3537.\nAnswer: 59566617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 7*t - 1. Let j(v) = 8*v**2 + 44*v - 13. Let q(d) = j(d) - 6*s(d). What is q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104 divided by -2?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4711 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2962?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2185 and 18525.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5492\/11 - 312340\/627. What is the common denominator of 71\/330 and m?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5)\/(3*(-26)\/(-39))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117 by -46.\nAnswer: -117\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*x = -x - 19, 0 = 2*x - 10. Suppose o*a = -2*d, 0 = -5*a + 2*a + 4*d. Suppose 0 = n - 3 - a. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j + 66. Let d be z(4). Let n(y) = 0*y**2 + 24*y - y**2 - 48 + 29. Is n(d) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v**2 + 5*v - 2. Let i(c) = 18*c**2 - 7*c + 3. Let w(p) = -5*i(p) - 7*l(p). Let q(m) = -m**2 - 6*m - 6. Let g be q(-5). Calculate w(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 d when three letters picked without replacement from dduuuuhddrydduuhuhd?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 980?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.9 - -16.9. Which is the second biggest value? (a) -2 (b) -5 (c) r (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10255, -10259, -10265, -10273, -10283, -10295?\n\"Answer: -m**2 - m - 10253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19879, 39744, 59623, 79522, 99447, 119404, 139399?\n\"Answer: i**3 + i**2 + 19855*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 391 - 390. Suppose m - 5*f = 2*m + 12, 5*m + 12 = -f. Let k be (-2)\/(-1) - (-1 - -2). What is the closest to k in 4\/7, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 3684 in descending order.\nAnswer: 3684, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -21\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-51450)\/20*(234\/(-27) - (-16)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = v + 2, -4*v - 3*m + 9 = 0. Suppose -5 = -l - v. Solve d - 4*f + 8 = -3*d, -3*f = l*d - 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10991485 and 205.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 77*k**2 + 18*k**2 - 35*k**4 + 1 - k**3 - 92*k**2 to the form s + t*k**3 + o*k**2 + x*k + g*k**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*(u**0*u)\/u)\/u)*u*u\/u**(-4\/7)*u)**(2\/89)\/((u\/(u**(2\/9)*u))**(-13)\/((u\/(u*u**0*u)*u)\/u**(3\/4))) assuming u is positive.\nAnswer: u**(-79309\/22428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*c*x - 9*a**4*x - 117*a**4 + 40*a**2*c*x - 12*a**2*c - 2*a**2*x - 6*a*c*x - 3*a*c wrt a?\nAnswer: -48*a*c*x - 216*a*x - 2808*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -0.281\nAnswer: 0.4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, 3, 0 in descending order.\nAnswer: 29, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34597*a**2 - 5833*a**2 - 23581*a**2.\nAnswer: -64011*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.6 + 16.9. Let x = 5.156 - 0.156. Put x, i, -0.6, -0.3 in increasing order.\nAnswer: -0.6, -0.3, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 0.19 and -25290.\nAnswer: -25289.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u**5 + 2686*u**4 - 15630*u**3 - 69070*u**2 + 4788*u + 6624 = 0 for u.\nAnswer: -69, -3, -2\/7, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2636 and 17908325?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.6 - 0.6. Let f = 9.05 - 0.05. Let h = p - f. Which is the third smallest value? (a) 0.1 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2440 - 7983 = -41747. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/6 - v**2 - 7*v. Let q be p(5). Suppose q*k + 4*u - 152 = 0, 2*k + 2*u - 58 = 40. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 26*l + 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 10. Suppose 5*j = 5*o - 4*o - 17, -2 = 2*o - j. What is the second biggest value in o, -1, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -4\/11, -0.5, 5 in descending order.\nAnswer: 5, 1, -4\/11, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/2, -3.2, 1, -519170, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 166, 749, 1712, 3049, 4754, 6821, 9244?\n\"Answer: -k**3 + 196*k**2 + 2*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 749521876 to the power of 1\/2, to the nearest integer?\nAnswer: 27377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/35 - 1\/7. Let b(m) = -2*m**2 + 1. Let a be b(1). Is a less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4504115 - 4504118 + 769*h**3 + 9008233.\nAnswer: 769*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 10. Let t be o(13). Put 1, -5, t in descending order.\nAnswer: t, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3\/11)*m*m*m*m\/(m**25*m) assuming m is positive.\nAnswer: m**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 16. Suppose -l - 6 = 4*t, 5*l + 12 - 42 = -5*t. Suppose 18 - l = 4*q. What is the units digit of b(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 5*x**2 + 3*x + 1. Let p(s) = s**3 - s**2. What is -5*p(n) + y(n)?\nAnswer: -n**3 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -3\/2, -1067.\nAnswer: -1067, -6, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*w - 68*w + 151*w - 84 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2104 and 437807684.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32019599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(972)*1) + (-1*sqrt(143))\/sqrt(11) + 3.\nAnswer: -8*sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 3*l - 1. Let b be w(-1). Let q be -2 - (-7 + 2) - (1 - b). Let r(i) = 0*i + 6*i - i - q*i. Let u(x) = 2*x. What is r(u(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 473 and 2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, 249 in decreasing order.\nAnswer: 249, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2338312 and 1640?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let h be i(2). Let v(y) = 16*y**3 - y**2. Calculate the remainder when v(h) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3383 + -2089. Suppose -d - 328 = -2*o. Suppose -o = -4*f - 5*w, -4*f = -2*w - 3*w - 781. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -23, 4968892, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j - 4*j + 6 + j - 6 + 2*j - j + 0*j + (-4 - 4 + 5)*(-4*j + j + j))*(-4 + 11 + 8)*(2 - 2 - 1).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 541261, 1082523, 1623785, 2165047, 2706309?\n\"Answer: 541262*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6 - 18. Let m(f) = 416*f - 9. Is m(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 r when four letters picked without replacement from rrezrrze?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 6. Suppose -q = -3*n + 75. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 4. Let k(a) = -a**3 - 6*a**2 + 17. Let q be k(-5). What is b(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 196*l + 42. Let b(c) = -23*c - 5. Let i(o) = 42*b(o) + 5*v(o). Let g(p) be the third derivative of -p**5\/60 - 43*p**2. Give g(i(f)).\nAnswer: -196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + -2. Let v = 3.047 - 0.047. What is the second smallest value in s, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgaagmcaaacragaaa. What is prob of picking 1 c and 2 a?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -112, -170, -228?\n\"Answer: -58*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 347685 * -1\nAnswer: -347685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -a - 220, 3*a + 0*a + 15 = 0. Let q(b) = -c*b + 44*b - 46*b**2 + 49*b**2. Calculate q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 317*-0.05\nAnswer: -15.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -98051 * -0.0115\nAnswer: 1127.5865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -309819, -309798, -309765, -309714, -309639?\n\"Answer: r**3 + 14*r - 309834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + h = -3*h + 20, 0 = -5*d + 2*h - 10. Let t = -9 - -25. Let w = t - 33\/2. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 10*n**2 + 5*n + 10.\nAnswer: -5*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123195.102409 - -123195. Let v = 0.102 + o. Round v to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 17*y**2 + 0 - 1\/24*y**4 + 0*y**5 - 1\/6*y**3 - 1\/120*y**6 + 0*y. Calculate the least common multiple of 2 and c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22873, -91474, -205819, -365920, -571789, -823438, -1120879, -1464124?\nAnswer: -1853185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from qjsjggqsgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 36249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 24*j + 41. Calculate the remainder when 58 is divided by y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.4, -0.04, -88513?\nAnswer: -88513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3*s - 8.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-two fifths of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = -2. Let g = 9 + -5. Suppose 0 = -4*t + 2*z + 22, g*t = 7*t + z - 4. Solve s - t*p - 29 = 6*s, -4*p = d*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 26009914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5224 > -5183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 17, w: 1}. Give prob of sequence wwf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-33))\/(14\/(-252)*(-24)\/(-40))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.36 + -0.554?\nAnswer: 36.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010110101 - -111?\nAnswer: -101010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 507 and 174693779?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.12 (b) -15 (c) 50 (d) -12 (e) -4 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 5, a: 5, g: 1}. What is prob of picking 2 a?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 11. Let q(g) = g**2 - g - 1. Let s(w) = 22*q(w) + 2*y(w). Find the second derivative of s(z) wrt z.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 283.09772\nAnswer: -28.309772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -433, 575?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39 - -3) + 6\/2. Let u be -175*3*(-42)\/o. Round u to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 636*j = -84*j - 8652 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r - 24. Determine a(11).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 216. Calculate the remainder when f is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00294025035 to six dps.\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28913 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1388 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 3:16 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*d - 134 = 0, 4*j + 3*d - 154 = -j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 != 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 14799\/4935)*(15 + 0). Let j = b + 4\/4935. Is 1 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 95.1? (a) 3\/8 (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 6*k - 17. Let g be o(-8). Suppose 4*p - 1 = 11. Let j = g + p. Solve -2*y - 16 = j*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*t - 769*t + 261*t - 2 + 4.\nAnswer: -132*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Let m(c) = -c - 1. Let w(i) = -i + 7. Let z(l) = l - 13. Suppose -12 = -3*r + 3. Let v(x) = r*w(x) + 3*z(x). Determine u*v(g) - 4*m(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**3 + s + 1. Let j be y(-1). Solve 2*h + 12 = -j*q, -26 = -3*h + 2*q - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.34. Let i = t + -0.140118. What is i rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 732 = 5*j, 3*o + 49*j = 47*j - 526. Put o, 2, -3, -4 in ascending order.\nAnswer: o, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 793925 and 275.\nAnswer: 793925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143589 is divided by 4826.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-164)\/(-16) + -9 + 10\/(-96) and -15\/88?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*m. Suppose 2*b = b + 9. Suppose 5*f + 1 = -b. Is m > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p - 77*p + 20*p)*(-1 + 6 - 2*p - 3)*(4*p - 4*p - 2*p).\nAnswer: -276*p**3 + 276*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 + 153.976. Let l = 0.124 + q. Which is bigger: 2\/55 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j - 17*j + 583 = -5*l, -2*l - l + l - 33*j - 563 = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85\/21 + 3569\/420. Find the common denominator of u and 43\/142.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 4*b**2 - 4*b + 2*b + 6 + 0*b**2. Let s be w(-3). Factor -1 + i - 2*i**s - 2 + 2*i + 3*i**2 - i**3.\nAnswer: -3*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/65655, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -37?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*11157.\nAnswer: 33471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g + 3 - 17. Let b = -0.02 + 3.02. What is the biggest value in 0.09, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23105518, -46211039, -69316560, -92422081, -115527602, -138633123?\nAnswer: -161738644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2079 divided by -27?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 5*n**2 - 3*n**2 - 2*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 + 4*o + 3*o**3 + 3*o**2 + o**3 + 5. Let y be (-6)\/(-9)*(-3)\/(-1) + (-26)\/(-13). Give m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - h + 1 = 0, -j - 30*h = -25*h - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.5 - 23.49999666. Round k to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -148.\nAnswer: -148, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from fccxeec.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 7) in base 12?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 36*v**3 - v**2 + 1. Let c be (-3)\/4*(6\/9 - 2). Calculate the least common multiple of y(c) and 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*16\/10)\/((-3)\/15). Let r(h) = 2*h**2 + 17*h + 11. Let o be r(g). Let s(y) = -y**2 - 5*y - 4. Let d be s(-4). Sort d, o, -5, -2.\nAnswer: -5, -2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 - 107 + 209 + 72*s)*(154 - 154 + 50*s).\nAnswer: 3600*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2454659*b + 2454559*b + 5900 = 0 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 4.04. Let o = -0.1 - -0.2. Let h = -137\/150 + 2\/25. Which is the nearest to o? (a) 0.3 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**4 - 132*g**3 + 504*g**2 + 1250*g + 700. Let l(c) = -c**3 - 15*c**2 + 3*c. Let h(t) = 5*l(t) + u(t). Find i such that h(i) = 0.\nAnswer: -140, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3 + 21*p**2\/2 + 36*p - 94. Factor x(q).\nAnswer: 3*(q + 3)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159*(-344)\/(-1720)*(-10)\/6?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 7. Suppose -5*z - 3*n = -41, 0 = -4*z + 12*n - 15*n + 34. Calculate o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 25*u**2. Let b(a) = 167*a**2 - 84*a**2 - 81*a**2. What is f(b(g))?\nAnswer: 100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53824*s**4 + 977184*s**3 + 4510404*s**2 + 682344*s + 26244.\nAnswer: 4*(s + 9)**2*(116*s + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - ((-12 - -2) + 2). Let u = y + -6. What is the common denominator of (-40 + -1)*u\/(-22) and 31\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155853 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13121 (base 4) to base 8.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 15. Let w(u) = -2*u - 8. Let c(k) = -4*o(k) - 7*w(k). Let v be ((0 - 1)*5)\/1. Let m = v - -8. Give c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (2 - 11 - (1 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 - -219. Calculate the highest common factor of 426 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i**2 + 6*i - 9. Let t(p) = -p + 1. Let g(a) = -15*a**2 - 939*a + 373. Let q be g(-63). Calculate q*t(c) - h(c).\nAnswer: 6*c**2 - c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 j when three letters picked without replacement from {m: 3, j: 4, x: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 6*m. Give q(11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -31*c + 1097. Calculate i(30).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u**2 + 2)*(3*u + u + 4*u) + (-8*u + 2*u**3 + u - 3*u**3)*(-3 + 2 + 3).\nAnswer: -18*u**3 - 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 478, -4 in descending order.\nAnswer: 478, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1356*f. Let r(a) = 2*a. Calculate p(r(y)).\nAnswer: 2712*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*z + 74*z = r - 9, 5*z = -2*r + 9. Let x(j) be the first derivative of -1 + 5\/2*j**2 + z*j. Let h(a) = -3*a - 2. Determine -7*h(m) - 4*x(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 131362.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*m = -m - 33, -m = 0. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3199398747 - -1020.6?\nAnswer: -3199397726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41346 + 671*k + 41346 + (0*k - 2*k + 5*k)*(2 - 2 - 1) - 2 + 2*k + 2 + (-2*k - 3*k + 3*k)*(3 - 6 + 1) + 5*k - 2*k - 4*k.\nAnswer: 673*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9889 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1960 and 10540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 101570?\nAnswer: 2031400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 12. Let b(l) = -4*l**2 - l + 2. Let z(t) = 2*t**3 - 2*t**2 - 2*t - 1. Let p be z(-1). Let k(u) = 9*u**2 + 2*u - 4. Calculate p*k(n) + x*b(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1343074636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Suppose -s + 20 = -3*o, 2*o = -4*s - 2*o. Sort -5, s, k.\nAnswer: -5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 3. Let i(l) = 3*l - 9. Let y be 172\/22 - ((-790)\/110 + 7). Suppose 3*b + z = -24, 4*b + y + 24 = 5*z. What is b*s(w) + 3*i(w)?\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + a19aa3?\nAnswer: a19aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 7*u**2 + 6*u + 6. Let f be b(-6). What is the lowest common multiple of (210\/40)\/(f\/8) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+1.007\nAnswer: 2.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12532 = 2*t + 2*a, 2*t - 159*a + 162*a - 12528 = 0. What is the highest common factor of t and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115075014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 922719 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 8. Let c(r) be the second derivative of -r**3\/3 - 5*r**2\/2 + 4*r. Suppose 17 + 8 = 5*o. Determine o*x(d) + 8*c(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(-5)*5\/4*2 and ((-3)\/2)\/(72\/(-96)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-9))\/4*-54*31\/(-558).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34*5\/((-35)\/(-994)). Suppose -4*c = 14*m - 10*m - r, -c + 1195 = 4*m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 8, 1 in increasing order.\nAnswer: -6, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/132*-6*(-2321)\/(-5275).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 0*z + 11 = 3*z + 5*y, -1 = -3*z + 5*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:24 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8685790 + 896*d**3 - 8685790.\nAnswer: 896*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*a - 61895866 = -61912023 for a.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 - 123*t + 12. Determine r(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**9*g*g)**(-1\/63) assuming g is positive.\nAnswer: g**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(-3*k**2 - 3*k**2 + 5*k**2) + (-k + 2 - 2)*(-2*k + 0*k + 4*k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**7\/2520 + m**6\/90 - m**5\/15 + m**4\/6 + 7*m**2. Let l(z) be the second derivative of d(z). Calculate l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/2635 and 79\/170.\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(308\/32))\/((-45)\/63). Let 4\/5 - 1\/5*w**5 - 7\/5*w**3 + 1\/5*w**2 + f*w - w**4 = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 4435301536?\nAnswer: 4435301542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 31. What is the highest common factor of j and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, -1\/11, 2, -3, -106, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3622938\nAnswer: -5\/3622938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19175 and 1350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1014214314 (base 5) to base 7.\nAnswer: -23600655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 8. Let o(j) = -j**2 + 4*j. Let v be o(4). Suppose v*r = r. Solve -b*a - 1 - 3 = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 518 = -28. Let j = -203 - w. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w + 8. What is f(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671208475 divided by -5.\nAnswer: 134241695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1883 and -87\/56.\nAnswer: 15064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrppmk. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/25)*a)\/a)\/a)\/a**(-21)*a**20\/(a**(-4\/23)\/a))**(-32) assuming a is positive.\nAnswer: a**(-759072\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.14287595 + -6.\nAnswer: 2.14287595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -30026456.\nAnswer: -30026462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 2 f when four letters picked without replacement from dljrljjlffl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 251*n**2 + 11*n - 133. Let k(f) = 576*f**2 - f - 44 - 493*f**2 + 5*f. Let a(c) = -4*d(c) + 11*k(c). Differentiate a(v) with respect to v.\nAnswer: -182*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = v - a - 315, 0 = 4*a + 12. Suppose -m = -4*m + v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((84\/889)\/(-12))\/(200\/115) and -7\/12?\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3 - (-7 + (-47 - -65))) + -36.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m**(-1\/4)\/m)\/m))**(-14)*m**(2\/5)\/m*m*m\/(m*m**1\/m)*(m**(1\/3))**44*m*m\/m**3*m\/(m\/m**(2\/9)) assuming m is positive.\nAnswer: m**(-4069\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, l: 5, n: 2}. Give prob of picking 1 q, 2 l, and 1 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 175509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 13 = 23. Suppose -y - g*y = -5*x - 244, 98 = -2*x + y. Let c = -35 - x. What is the least common multiple of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -59\/4. Let p(h) = -h - 4. Let u be p(-5). What is the second biggest value in -0.1, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 457158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1331) + sqrt(1331) + 2 + sqrt(1331) + 1)**2 + -2*(4 + sqrt(1331)*-5).\nAnswer: 308*sqrt(11) + 11977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18370 - -18712. Calculate the highest common divisor of 1824 and l.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*g**3 - 16*g - 3*g + 25*g**3 + 4*g**2 - 1 as r + h*g**3 + f*g + m*g**2 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-182)\/4 - 3\/(-2). What is the lowest common multiple of 10 and 2\/(-11) + (-360)\/i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*-2*sqrt(99) - (-1 + sqrt(99) + -2))**2 + 4)*-3 + -1.\nAnswer: -24106 + 486*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 + w - 15. Let b = -8 - -13. Let q(d) = 2*d**2 - d + 8. Let l(k) = b*q(k) + 3*p(k). Let o(h) = 144*h - 1580. Let y be o(11). What is l(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958064.6nm to micrometers.\nAnswer: 958.0646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 387600 = -0*i - 4*h, -2*i - 2*h = 258400. Round i to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*4\/32*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2891701 divided by -1\nAnswer: -2891701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0088509 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 36.3. Let m = z - -3.70000038. Round m to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5949\/754 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 0.4, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, 0.4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11292, -3, -41 in increasing order.\nAnswer: -11292, -41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 139667 + 139667.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrwkruvkrrurrk. Give prob of sequence vrrs.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q + 8. Let r = 37 + q. Suppose 0 = -113*b + 347*b - 7722. Calculate the lowest common multiple of b and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(720) + -1 - sqrt(720) - sqrt(720))**2*-6 + (0 + -1*sqrt(180))**2 + 0.\nAnswer: 288*sqrt(5) + 8836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, 4, -4\/5, -49, -5.\nAnswer: -49, -5, -4\/5, 9\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*f = 2*d - 8 + 19, 0 = -f - 2 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-53)\/(-15)*11235\/10. Let i = r - 3961. Let d = 11857\/2034 - -4\/1017. Calculate the common denominator of d and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 30 - -8 - (-8 - (3 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 9 = -59. Suppose -13*u = y*u - 27*u. Solve u = -5*n + 6 + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0, -18.\nAnswer: -18, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*m - 32*m + 52*m + 250 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 6)*(3*t + 2*t - 3*t)*((0 + 3 - 1)*((1 - 2 + 4)*(-3*t**4 - t**4 + 3*t**4) - 3*t**4 + 6*t**4 + 21*t**4) + (0 + 0 + 2*t**3)*(0 + 0 - 2*t)).\nAnswer: -760*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 m when three letters picked without replacement from gppddyypmpgqqdm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 346 and 965513?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:30 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135063558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -264, 4\/3, 0, -28\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*w + 12242 - 5000. What is the remainder when w is divided by 28 - (2 - 0)\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -37*o + 4. Let m(h) = 110*h - 11. Calculate -4*m(g) - 11*p(g).\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvpxyyvyvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -496\/55797?\nAnswer: -496\/55797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 2*b**4 - b - 2*b**2 + 2*b**2 + b**4 + 0*b**4 + 0*b**4 - b**4 + (0*b**2 + 0*b**2 + 2*b**2)*(-5*b**2 + 3*b**2 + 3*b**2) - 2*b**4 + 0*b**4 - 3*b**4.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/160 (c) 1787 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2\/3 + 1380*k - 3561020\/3.\nAnswer: 5*(k - 526)*(k + 1354)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1871*n**7\/210 + 2483*n**3\/6 + 288*n**2 - 1. What is the first derivative of t(x) wrt x?\nAnswer: 7484*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 22946\nAnswer: 114730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929960795.\nAnswer: 5, 19, 137, 71453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 + 18 = 2*s, -5*m = 4*s - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 9*c**2 + 9*c + 2. Let d be g(-10). Let a be ((-16)\/6)\/((-4)\/d). Let k = a - 6. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 7 + -2 + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - 21*p**2 - 5*p + 6. Let s(k) = 2*k**3 + 10*k**2 + 3*k - 3. Let o(b) = 3*a(b) + 5*s(b). Give o(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 5) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imsdg. Give prob of sequence md.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -479489*q**3 - 533325*q**2 wrt q?\nAnswer: -2876934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 138*z**2 + 123*z - 1723. What is t(-44)?\nAnswer: 4481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2469, -3145, -3819, -4491, -5161, -5829, -6495?\n\"Answer: a**2 - 679*a - 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28748 is divided by 4725?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 691489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1333 + 1433. Let p = -471 - -721. Calculate the highest common divisor of q and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 2*s + s - 8*s - 12*s + 16*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18 + 23 + 3*q + 2. Suppose 4*n - 9*n = 0. Let c be o(n). What is the highest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/7 - 216*d**3\/7 + 3666*d**2\/7 + 7992*d\/7 + 4107\/7.\nAnswer: 3*(d - 37)**2*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.242\nAnswer: -0.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-128)\/252 + 304\/72 + -4. Let r = -0.02 + 0.42. Which is the second biggest value? (a) r (b) -6\/7 (c) 3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152724 divided by -78.\nAnswer: -1958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 141 - (9 - (-35)\/(-7)). Suppose -143 + s = -3*c. Put -28, 0, c, 4 in ascending order.\nAnswer: -28, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260800 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -1 - ((-27 - -7) + (121 - 91))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*f - 30, -1 = 2*d + 5. Suppose -2*m = -7*m + f. Suppose -4*w + 831 = 4*z + 839, 3*z + 31 = 2*w. Sort m, w, -4 in descending order.\nAnswer: w, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 - q - 3. Let o be b(3). Suppose -5*c = -5*p - 1025, p = 2*p - o*c + 211. Is -202 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -3, 4, 15?\n\"Answer: 2*c**2 - 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015396 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625508 by -90.\nAnswer: -312754\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 3, e: 2, j: 2}. What is prob of picking 1 c, 2 e, and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 773 - 773. Solve -12*k - 3*k + 30 = s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 37 = -8. Suppose 16 = 4*s + 4*g, 0 = i*s + 3*g - 22 + 4. Solve 0 = 17*p - 18*p + s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -193 - 1102c4?\nAnswer: -110487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10598380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 167672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*g + 9, 3*h + g = -5 + 24. What is the third derivative of 0*r**5 - 2*r**2 + r**h - r**2 + r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11039*d - 11034*d - 2*j + 15, 13*j - 15 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -1855?\nAnswer: -1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2120582, 16964558, 57255358, 135716396, 265071086, 458042842, 727355078?\nAnswer: 1085731208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227 + 1192 = 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 12*h. Solve h = -q - q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 565*o**2 + 9*o + 41.\nAnswer: 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -89. Suppose -3 + 5 = y. Suppose -y*p = -6*p + 440. What is the highest common divisor of p and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -140 - 20*g + 3 - 15*g - 19*g + 55*g as f + r*g and give f.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/63936 and -59\/11592?\nAnswer: 10293696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) -5 (c) -2\/19 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/43 - 2905\/129. What is the common denominator of (-143)\/(-4)*(-18)\/2700*-25 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2058 - -2062. Calculate the smallest common multiple of 133 and c.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -507*o - 91. Let r(p) = 22*p + 4. Let w(d) = -91*r(d) - 4*y(d). Let u(s) = -101*s - 2*s**2 + 101*s. Calculate w(u(j)).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50624 and 672.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25086468*i**6 - 2*i**2 - 2*i + 17466 wrt i.\nAnswer: 3010376160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -21. Suppose -4*o + 5*j = -69, 0 = -2*o - j + 2*j + 33. Suppose -3*l - 4 + o = -f, -z*l + 3*f + 8 = 0. Sort -5, l, -1 in decreasing order.\nAnswer: l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 16. What are the prime factors of ((-3)\/(s\/(-28)))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + 4*u**3 - 9*u**2\/2 - 5*u - 1. Is h(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-3 - -13)) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Is 463160977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47 - -52)*(18\/5 - -3). What is the highest common divisor of 3817 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 21581 - 88907 = 0. Let r = -67325173847\/7005960 + 7\/1401192. Let g = r + a. Calculate the common denominator of g and 59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 2*k**2 + 4*k + 5. Let x(l) = 11 - 226*l**3 - 231*l**3 + 462*l**3 + 3*l**2 + l**2 + 9*l. Calculate 9*m(n) - 4*x(n).\nAnswer: -2*n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -313, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8. Suppose -5*o - 2*g + 19 = r, 2 = -g + 2*g. Let p = o - 8. What is the second biggest value in -1, p, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 673 = -187. Let c(o) = 3*o + 56. Let n be c(k). Solve 4*r + n = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:02 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 - -159. Suppose -144 = -5*s - 0*s + 3*a, -j = 5*a. Solve 0 = 3*f - 2*o + 19, -4*f = -3*o - 0*o + s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/(a\/a**(1\/4)))\/a*a)\/a*a)**10*(a\/(a*a\/(a\/(a\/(a\/a**(-2\/5))))*a*a))**41)**(-47))**34 assuming a is positive.\nAnswer: a**(504169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uee when three letters picked without replacement from {e: 18, u: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 3*z + 0 + 0*z**2 + 1\/24*z**4 + 0*z**3. Factor j(b).\nAnswer: b**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0) + (1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 3*c + 0*c + 4*c - 6*c + (-3*c - 2*c + 3*c)*(1 + 1 - 3) - c + 0*c + 2*c - 4 + 4 - 2*c - 10 + 6*c + 2 - 7*c)*(0*c - 2*c**2 + 0*c).\nAnswer: -2*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20431 (base 9) in base 15?\nAnswer: 3ed4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/((-18)\/21))\/(-1). Let o be (q\/(28\/16))\/(-2). Let g be ((-275)\/(-11))\/(o\/320). What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-8)*f*f*f*f**(-10)*f*f*((f\/((f\/f**(1\/4))\/f))\/f)**(-12) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*t**3 - 2 + 3*t**3 + 2.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7955 divided by 185.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 17 + c + 43 + 147.\nAnswer: -2*c + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -0*x - 45. Let y(h) = -h**3 - 6*h**2 - 4*h + 17. Let j be y(x). What is the tens digit of (-8 - -4)\/(j\/(-261))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 21. Calculate q(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1183.99 - -1106.6. Let v = o - 6.51. Round v to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) 5 (c) 13\/2 (d) 4\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 690*v. Let h(o) be the first derivative of 69*o**2\/2 - 4150. Determine 21*h(n) - 2*t(n).\nAnswer: 69*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen thirds of a decade in months?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/82675 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = -6. Let h be ((-12)\/(-8) - x)*-6. Let u = -8 + 4. Sort h, -2, u.\nAnswer: u, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1619 + -79326\/49. Let a = -475\/147 - w. Do -4 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24138 + 24081 = -19*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*n - 16*n - 14*n)*(-2 - 2 + 5)*(3 - 5 + 3).\nAnswer: -50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 16 = 2*k - 38, 2*n = -155*k - 0*n + 1705 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 113037750?\nAnswer: 113037762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -772 * 484\nAnswer: -373648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 926\/11 + -84. Let w = 3.92 + 0.08. Let q = -49 + 48.8. Which is the closest to h? (a) 5 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-24)*(14 - 24). Let t = -49 - -48. Sort f, t, 0.4 in descending order.\nAnswer: f, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/5 - 57*v**2\/5 + 336*v\/5 - 576\/5.\nAnswer: 3*(v - 8)**2*(v - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671 + 1487 = -163*m + 2048 - 6877 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/413*(-11)\/(-154). Let r = -10140\/124313 - i. Calculate the common denominator of r and 79\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16170261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*a + 30, a - 2 = -x + 6*a. Suppose 4*f + 8 = 0, 4*t + 2 = 3*f - 4*f. Let m be (1 + t)*0 + 7. Is m not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 5. Let q(g) = 2*g**2 - 32 + 2*g**2 - 30 - 2*g**2 + 58 - g. Calculate -4*j(t) + 5*q(t).\nAnswer: 2*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/(-1)*-18. Suppose -4*k - n + 2 = 0. What is the second smallest value in k, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.22+-63876\nAnswer: -63874.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/9)\/((-12)\/72) + -5. Let l(k) be the second derivative of 3*k + 0*k**q + 1\/6*k**4 + 0*k**2 + 0. Let c(j) = -7*j. Determine c(l(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (3 + 0 + (-8 - -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(4\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 7*q + 12. What is the hundreds digit of (-4 - -4)\/q - (-2 - 333)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078414 to 3 decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 23*x**3\/6 + 13*x. Let y(c) = c. Calculate y(i(v)).\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4*w)**(2\/37)\/(w**(3\/7)\/w**30) assuming w is positive.\nAnswer: w**(7729\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3611*j**5 - 5*j**3 + 3616*j**5 + 5*j**4 - 4*j**2 - j**2.\nAnswer: 5*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633128 + -3182563?\nAnswer: -549435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2663*w - 1199*w + 1088*w + 722*w + w**2 - 3182*w.\nAnswer: w**2 - 5234*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 8*s**2 - 153*s - 812. Give v(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z + 6 = 0. Let k = -0.31 + 0.1. Let h = -0.19 + k. What is the third smallest value in z, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.65 - 0.35. Which is the biggest value? (a) 0.5 (b) -0.026 (c) -0.1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/4 (b) 39 (c) 0 (d) 1.747 (e) -1 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20117 <= -2810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/37)*k)**(-4\/31) assuming k is positive.\nAnswer: k**(-140\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46041807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 22 - 37 = 5*l, 4*u - 3*l = 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 30. Sort a, -2\/7, -1.9 in ascending order.\nAnswer: -1.9, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1032.6 + -1026. Let q = -1.2 - -8.2. Let l = q - s. Which is the second biggest value? (a) -4 (b) l (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 14983.558 - 14925. Round b to the nearest integer.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -244.6 and -96.\nAnswer: 23481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - o + 0 + (4 - 3 - 3)*(-4*o - o + 6*o) + 5 - 5 - 7*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:06 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 61 + 149 = 0. Suppose -3*z - 3*p - q = -2*p, 0 = -2*z - 5*p - 18. Which is the nearest to 0? (a) -0.1 (b) z (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 10. Let m be f(-6). Let x(a) be the third derivative of -1\/12*a**4 + a**m + 2\/3*a**3 + 0 + 0*a. Determine x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2. Let x(z) = z + 2*z + 3*z + 3 - 9*z. Let h(y) = -1. Let s(l) = 6*h(l) + 2*x(l). What is r(s(o))?\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1820 and 283738?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 2 + 2 + 2*j. What are the prime factors of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 3. Let d be (2 - 3)\/(-1)*-14. Let p be 2\/d + 1 + 0. Are p and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-558)\/930)\/(-2 + 199\/100). What is the greatest common divisor of 3020 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*j**5 + 2*j**3*l - 109*j*l + 4*l wrt j?\nAnswer: -1220*j**3 + 12*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 34 = 3*l, 23 = -5*l + 3*j - 19. Let f = l - -26. Suppose 4*d = -3*u + 16, f = 2*u + 4*d - 6*d. Solve -u*n + 3*n - 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 7308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2787, -5 in increasing order.\nAnswer: -5, -1, 2787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11202, -22919, -34668, -46449, -58262, -70107, -81984?\nAnswer: -93893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 38*v - 4. What is r(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**8\/210 + c**5\/24 + c**3\/3 - 8*c**2. Let a(h) be the first derivative of m(h). Find the second derivative of a(g) wrt g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 - 48*d - 61. Determine l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54681131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 6374*i - 44574. Calculate w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 + 179 + 146)*(9*o**2 + 5*o**3 - 9*o**2)*(2 - 1 - 2) to the form r*o + d*o**3 + a + t*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 379*d - 6044. Give q(16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 5*o)*(-o**3 + 3*o**3 - 6*o**3).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.0531, 5, -2\/5?\nAnswer: 0.0531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5692848 to the nearest 1000.\nAnswer: -5693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 25. Suppose 2*x - q*x = -60. Suppose 5*c - 2*a = x, c + 0*a - 1 = a. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-164)\/(-435) - 2\/5. Let b be 454\/(-3) + (-1 - 4\/(-3)). Let q = -152 - b. Is q at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(5\/(20\/(-8))). Is (164 - 2) + (-1 - i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 2 - (-243 - -234)) + -44.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 9. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -5) + (1 - (-3 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 v, and 1 k when four letters picked without replacement from czkvvtvcccckkcvtz?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7229*c**2 + 7201*c**2 - 14407*c**2. Let j(l) = -16*l**2 - 4. Calculate n(j(k)).\nAnswer: 5888*k**4 + 2944*k**2 + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221313 (base 5) in base 3?\nAnswer: -1012000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8165558 to the nearest integer?\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 117\/2*p**2 - 16*p + 109. What is the first derivative of g(w) wrt w?\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 16 + 54*h - 19 + 0 - 67*h in the form y + t*h and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**2 + 11*q**2 + 6*q**2 - 8 as b + o*q + h*q**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x, 2*x - 26 - 47 = -5*m. What is the common denominator of 1\/(18\/m) - (-1 - 2) and (-142)\/8 - 0\/(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(-15 + (-60)\/(-5)). Solve 0 = -5*h - 3*s - 0*s - 2, -2*h + 2*s - 4 = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*r - 1, 0*r + 5*r = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/6 (c) 2\/7 (d) -8 (e) -2.507\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvn when four letters picked without replacement from {u: 1, v: 5, n: 5, s: 2, q: 2, p: 1}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/12768 and 10\/147.\nAnswer: 89376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (112 + (7 + 0 - -7))) + 11 - -9\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14362 + 5\/((-5)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rguu when four letters picked without replacement from gguurugrg.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from qqwwqbqbqqbqqqqqq.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51 + 49)*1381\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10358323.\nAnswer: 2063, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(384))\/((sqrt(36) - (sqrt(36) - ((2*sqrt(36) - sqrt(36)) + sqrt(36) - sqrt(36))))\/sqrt(3)) + -4 + ((-5*sqrt(80)\/sqrt(5))\/sqrt(8))**2.\nAnswer: -8*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 501472 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 14*x - 23*x - 5.\nAnswer: -37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.57 - -7.57. Let o = -0.4 - -0.46. Let n be ((1*0\/(-4))\/(-3))\/2. Which is the nearest to -2? (a) o (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626 = 1200*r - 5415 - 3411 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 bigger than -427\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12656 - 7?\nAnswer: 12647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 438788 (base 10) in base 2?\nAnswer: 1101011001000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.98 + 27. Sort q, -0.1, 4\/7 in descending order.\nAnswer: 4\/7, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308057 = 46*y + 38267. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191943.\nAnswer: 3, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, 230, 685, 1322, 2141?\n\"Answer: 91*j**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2edd (base 16) in base 14?\nAnswer: 452d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 28*u - 23*u + 1295, 4*u = f + 426. Let g = 537 + f. What is the remainder when g is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - v = -3*x, -5*x + 20 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*s + 580*s + 4*s**2 - 193*s - 197*s.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + g. Let t(h) = 642*h**2 - 272*h**2 - 357*h**2. Give t(v(b)).\nAnswer: 52*b**4 + 52*b**3 + 13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 11*r - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 403389677\/680 + -593220. Calculate the common denominator of -27\/1564 and l.\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 + -3 + (10 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015120592 rounded to six decimal places?\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let q(g) = 2*g**2 + 3*g**2 + g**2. Calculate q(o(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230582853, 230582852, 230582851, 230582850?\nAnswer: 230582849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -480595.\nAnswer: 2\/480595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.81 - 0.01. Let l = 0.4 - r. Let g = -8.3 + 8. What is the biggest value in -0.5, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 + 5*k - 38. Let x be a(-6). Solve 2 = 2*j - x*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7\/5, -0.009, -2\/99?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 40*w + 501. Calculate f(-16).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1226537 is divided by 184.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sososooosootto. Give prob of sequence ss.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**3 + 3*l**2 - l - 2. Calculate q(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s + 90. Let c be o(-15). Suppose -9 = -5*r + 21. Calculate the common denominator of 64\/9 and (-129)\/c - 9\/r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68999599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426 - 270. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1260 and 4031790?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**(-2\/7))**(-5\/14))**8)**(1\/18))**18 assuming w is positive.\nAnswer: w**(-100\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/10556, 1, 14, 7?\nAnswer: -1\/10556","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14033*j - 15367*j = -81374 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 9*o**4 - 3*o**2)*(o + 3*o - o) + (3*o**3 - 3*o**3 + o**5)*(0 - 2 + 3).\nAnswer: -26*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 9:09 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 3. Suppose 35*i + 388 = 3. Calculate t(i).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(4\/15)))\/b)**(-1\/3)*(b*b**(-9))**(-5\/9))**43 assuming b is positive.\nAnswer: b**(9073\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3\/(48\/(-34)) + 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527106 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: Suppose -1890 = -4*p + 1722. Let l = 1268 - p. What are the prime factors of l?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -39.6, 0.144, 1\/2, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {g: 3, x: 7, o: 1, n: 6}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 + (-4)\/3. Let f(s) = s**3 + s**2 - 2*s - 3. Let n be f(i). Let b(v) = -3*v + 1. Calculate the least common multiple of b(n) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455545.\nAnswer: 5, 31, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 3 - 18*n + 6 - 21*n wrt n.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.414 to 2 dps.\nAnswer: -1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + o - 13 = -0*l, -2761281*l + 2761283*l - 94 = -4*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252253188?\nAnswer: 2, 3, 1613, 168023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 + z**2 - 3*z + 1. Let q(l) = l**3 + 9*l**2 + 12*l - 12. Calculate the remainder when u(2) is divided by q(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {q: 4, c: 3, s: 5, z: 4}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1723307 (base 10) to base 12.\nAnswer: 6b134b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0 = -3*l - 15, -25 = 5*m + 2*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14986 - 14933. Solve 11*r - k*r = 210 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. What is the derivative of 3*g**3 + u - 3 - 3 - 2*g**3 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 51 - 41 - 12 + 8)*(d**3 - 3*d**3 + 0*d**3).\nAnswer: 188*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**2 - 2164*c - 1309. Determine g(217).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 1, z: 1, t: 1}. Give prob of sequence jtdj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (-57 - (-127 + 106))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 3*v - 1, 10 = 5*u. Suppose q = 5*t + 19, -4 = -4*t - 4*q - 0. Sort 0, 3, v, t in increasing order.\nAnswer: t, v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 957 + -955. Solve 14*o - 2 = -f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 10*w - 7. What is n(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*v - 24 = 0, p - 115 = -138*v + 592 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 3708.\nAnswer: 3337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 353, 713, 1077, 1445, 1817, 2193, 2573?\n\"Answer: 2*c**2 + 354*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53, 3, 76 in descending order.\nAnswer: 76, 3, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8761326.3 seconds to hours.\nAnswer: 2433.70175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142 - 60. Let o = 81.7 - c. What is the second biggest value in 0, -0.6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x = -3*s - 5, -4*s = -3*x - 5. Suppose -o - x*d + 8*d + 660 = 0, 1945 = 3*o - 2*d. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.73 - 9.63. Let h be (-6)\/(-13)*(-2)\/54. Is o not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.795811ms?\nAnswer: 0.007795811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -0.29. Let w(g) = -18*g - 108. Let j be w(-6). Which is the third smallest value? (a) -11 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*y + 277*y + 206*y**2 + 281*y - 838*y.\nAnswer: 206*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -4891926 = -4891924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsnk when four letters picked without replacement from hsggkkkkjsjjsnjggs.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 + 2*k**3 + 8*k - k + 4 + 6*k**2. Let o be w(7). Suppose -o*f = 3*s + 6, -5*f + 3*s + 6 = -f. Which is smaller: f or 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3328 - -0.4328. Let z = 0.2 - -0.3. Sort y, -2\/11, z.\nAnswer: -2\/11, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let k be w(-4). Let q = 34 + -37. Let h be q + 3 - (0 + k). Solve 0 = 5*o + 31 - 11, -h*x = -4*o - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 18927729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 60. Let m = f - -47.14. What is m rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 190 = 2*a, -5*y + 275 = 7*a - 2*a. Suppose -2*g - k + 48 = -6*k, 4*k = -g + y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*a + 4*w, 4*a - 90 + 18 = -5*w. Let g(t) = t**2 - 16*t + 9. Let p be g(a). Calculate the remainder when 44 is divided by (p\/8)\/(11\/(-44)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974757 is divided by 162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, 4\/5, -1\/9, 2 in decreasing order.\nAnswer: 2, 4\/5, -1\/9, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 10*w**2 - 8*w + 10. Let x be p(-9). Put -4, 3, 0, x in descending order.\nAnswer: 3, x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -11.\nAnswer: -47, -11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**2 + 4*r - 1. What is the units digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440278.\nAnswer: 2, 29, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 2*o - 9. Let c be w(7). Let p = 45 + c. Let v be (8 - 4)\/(2 - p). Solve 0 = -v*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 261287884 a multiple of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -77 + -20 - -83 - (35 - 2)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -20. Let k(h) = 2*h - 2. Let t(a) = a**2 - 7*a + 7. Let r(m) = z*k(m) - 2*t(m). Let f(v) = 4 - 4 + 3*v. What is f(r(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let t = -54 + 33. Let h be 4\/6*9\/t. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 37. Let p be i(11). Suppose -11*t + 9*t = -p. Let q be ((-10)\/t)\/((-18)\/(-28)). Which is the biggest value? (a) 0.3 (b) q (c) 0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.059589*-18\nAnswer: 109.072602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 84 = 76. Calculate the greatest common factor of 56 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -11. Let l(r) = r**2 - 6*r. Let b be l(n). Factor -b*t**2 - 6*t + 4*t - 2*t**5 - 5*t**4 + t**5 - 9*t**3.\nAnswer: -t*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 14*o = -15*o - 2, -3*z = -4*o - 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/17537 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 3840*w**3 - 1740656*w**2 + 98442240*w - 1314408992.\nAnswer: -2*(w - 26)**2*(w + 986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(2736) + (sqrt(2736) + 2)**2 + sqrt(2736) + -3.\nAnswer: 72*sqrt(19) + 2739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 + 11 = 0. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-836)\/(-57) - (27 - 3)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjjeegggj. Give prob of picking 1 j and 1 g.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 25*s**3 - s**3 - 6*s**3.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*r - 9*p, 2*r - 35 + 39 = -2*p. Factor 35\/2*f**2 + r*f - 5\/2*f**3 + 0.\nAnswer: -5*f**2*(f - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3355357 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*a = -216*a + 182. Let f be (-1)\/(-1) - (1 - -3). Let x = f - -107. What is the greatest common divisor of a and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -2*z**3\/3 - 3*z**2 - 8*z. What is the remainder when 2\/(-7) + (-51)\/(-7) is divided by s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212373\/184 > -1154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153430 + 153430. Suppose 2*p + 8 = -0*p. What is the closest to -1 in r, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1585 = -21*q + 100*q + 321 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 - 3)*(-v - 2*v + 6*v) + 0 + 0*v + v - 2 + (-1 + 3 + 0)*(0*v + v - 3*v).\nAnswer: -39*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 178*p**2 + 2733*p + 84. What is j(17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**3 - 3*q**4 - 719*q**2 + 719*q**2 + (-3*q**2 + 2 - 2)*(q**2 - 2*q**2 - q**2).\nAnswer: 3*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 3, p: 1, m: 2, t: 1}. Give prob of sequence qm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 2. Let t(u) = 419640*u + 360. Let s(n) = -720*c(n) - 4*t(n). Let p be (5\/(-1))\/(-1 + 2). Let q be s(p). Round q to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, g: 10}. What is prob of sequence bb?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8648*c + 3*c**3 + 8648*c - 2*c**2 to the form s*c**2 + o*c + g*c**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, -14, -3, 26, 79, 162, 281, 442?\n\"Answer: w**3 - 8*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2. Let v(x) = 3800*x. What is j(v(s))?\nAnswer: 28880000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/24*20)\/(-9)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.9 + 84. Let m = 3.5 + -3. Let t be (-1)\/((-2)\/(2\/5)). Which is the nearest to 1? (a) w (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 2. Let u be (-5 + 4)\/(6\/8 + -1). What is the third biggest value in w, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3255 and 3465.\nAnswer: 107415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -222 - -222.00841. Let o = a + -0.01. What is o rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 44 - 10*o**3 - 2*o**3 + 46.\nAnswer: -12*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*h = -130*h + 35 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = -3*h. Suppose 20 = -0*q + h*q. What is the third derivative of 2*b + q*b + 3*b**3 + 2*b**2 - 6*b wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -914 greater than -916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -710181 - -710180.9453057. Let g = h + -0.0233139. Let k = -0.078 - g. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/73, -43, 2, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57808 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/5 (b) -0.3 (c) -3 (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43837*j**2*l*u**2 - 217*j**2*l*u - 23*j*l*u**2 + 2*j*u**2 + 2*j*u - j + 187729*l wrt j?\nAnswer: 87674*l*u**2 - 434*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 20. What are the prime factors of b(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 2. Let m be o(2). Suppose m = 5*k - 80 - 85. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Suppose 2 + 8 = 5*t. Find the third derivative of v*o - 4*o + 2*o**2 + t*o**6 wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3567 and 3198?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6375280 and 112?\nAnswer: 44626960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41467 is divided by 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/17)\/(c*((c\/(c\/(c*c\/((c*c\/(c*c**(-1\/2)))\/c))))\/c)\/c))\/(c*c*c*c*(c*c**(1\/21))\/c*c*(c**(-11)*c)\/c*c))**41 assuming c is positive.\nAnswer: c**(126895\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4757*v - 52324. Give a(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 1. Let f(u) = 6*u + 4. Calculate f(z) - 3*o(z).\nAnswer: 3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233483 + 4*m + 233483.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -169*j**4\/6 + 5291*j**3\/6 - 20074*j**2\/3 + 5990*j\/3 - 152 = 0. What is j?\nAnswer: 2\/13, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.9 - 51.9. Do -5 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30226?\nAnswer: 2, 7, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d + 4*d**2 + 51*d + 6 + d.\nAnswer: 4*d**2 + 107*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/150 and -13 + 152\/15 - 1\/(-4).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 24 - (-2 + -4 + 8 - (-124 - -118)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 354\/5. Sort 2\/7, 3, h in descending order.\nAnswer: 3, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 8 (c) 1 (d) 0.1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10082, -10042, -9948, -9794, -9574?\nAnswer: -9282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -15*i**3 + 13*i**2 - 4*i + 1. Is c(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55\/33*1\/5. Which is the nearest to -3\/2? (a) r (b) 2\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1746\/(-36)*(-20)\/(-20)*(-10)\/5.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 427?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -20. Solve f = -3*r + 4*n, 2*r = -0*r + 4*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 145.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2\/9*r**3 + 2\/9*r - 2\/9*r**4 + 2\/9*r**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (15\/(-6))\/1. Let b = 8 + -4. Let j = b + -9. What is the second smallest value in -2, j, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 4*t + 20. Let i = -7 + 7. Let y be b(i). Solve -5*s + 3*d - 8*d + 10 = 0, 5*d + y = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (372\/36 - -4).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.205864 rounded to two dps?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(720))\/sqrt(4) - (4 + sqrt(10)\/sqrt(2)*-3))**2.\nAnswer: 24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 6801*j\/5 + 81468\/5.\nAnswer: (j - 6789)*(j - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 45. What is the smallest common multiple of u and (-24)\/(-2) - (-11)\/(22\/(-8))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = -6*f - 50. Let c(n) = 4*n**2 - 27*n - 60. Let g be c(f). Solve 3*b = 5*b - g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 2*o - 3. Let i be (-2)\/(-6)*(21 + -3 - 0). What is r(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 1505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m. Let z(b) = 45*b - 177*b + 3*b. What is z(w(d))?\nAnswer: -516*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (67\/(-201))\/(14\/348) and -93\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 179*q + 10 = -174*q, 3*b = -2*q + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 61.6.\nAnswer: 6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102102 + 0?\nAnswer: -1102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -96. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2472\/14 - 56\/98. Let g = 178 - s. Solve 4*n + g*n + 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 8. Suppose -2*c = -4*j + 3*j - v, -5*j + 31 = 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*q*w - 2*j**3 + 17*j**2*q*w - j**2*q + 2*j**2*w + 68 wrt q.\nAnswer: j**3*w + 17*j**2*w - j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/18*0\/(-90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 10*n**2 + 11. Suppose h = -2*h + 4*w + 10, 0 = -3*h + w + 25. Is s(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 2*m**2 - m + 5. Let v(o) = o**3 + o**2 + o - 1. Suppose c = 5*h - 0 - 83, c = -h - 77. Let r = -80 - c. Determine r*v(f) - b(f).\nAnswer: -f**3 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 - 3*x - 8. Suppose -15 = -19*g + 99. Let s(j) = -j**2 + 1. Determine g*s(k) + u(k).\nAnswer: 2*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**11*n\/(n\/(n**(-18)\/n))*(((n**14*n)\/n)\/n)\/(n\/(n*n\/(n\/(n**(-27)\/n*n)))))**(2\/33) assuming n is positive.\nAnswer: n**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**4)\/i)\/(i\/(i*i\/(i**(2\/7)\/i*i)))*i**(-7\/5)*i**7 assuming i is positive.\nAnswer: i**(361\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 627, -33, 2, 35 in descending order.\nAnswer: 627, 35, 3, 2, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**2 - 40. Let h(m) = -5*m**2 + 0*m**2 + m**2. Determine y(h(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one half of a tonne?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*j - 48 = 46, 3*j = 5*o - 355. Solve 10*a = -o + 14 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1331) - ((sqrt(44)\/sqrt(4))**2 + 5).\nAnswer: -16 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/276*6\/8*((-550)\/(-15))\/11.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 + 0 = 0, 0 = -2*s + 5*q - 13. Let j = -5 - -5.3. Let i = 1 - -4. Sort j, s, i.\nAnswer: s, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1173 divided by -23\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 13*f**4\/12 + 2*f**3\/3 + 2*f - 9. Let g(u) = 105*u**2 + 33*u. Determine -4*g(z) + 33*h(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/358920 and 113\/9144.\nAnswer: 45582840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**4\/6 + c**2 + 115. Let t(z) = -5*z**2. Give t(m(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/2, -1\/3, -0.7, 4\/9, -497?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + s + 5, -5*z - 5 = -s - 14. Let r be -7*z\/(-4)*6. Solve 5*o + 3*n + n - 17 = 0, 0 = -5*o - 2*n + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17*x**2 + 3. Let d(b) = -616*b**2 - 629*b**2 + 1852*b**2 - 625*b**2. What is d(z(j))?\nAnswer: -5202*j**4 - 1836*j**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*(-68 + -4)*1. What is the units digit of (84\/10)\/(q\/(-810))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33928047031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2450) - (sqrt(2450) + (sqrt(2450) - (sqrt(2450)*2*3 - sqrt(2450)))) - sqrt(2450))\/((((sqrt(100) - sqrt(100)*3) + sqrt(100))\/sqrt(2))\/sqrt(5)).\nAnswer: 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 - -164. Let j = -1 - -3. Let f(i) = i - j - g + 1. Calculate f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l\/(l**(-1)*l))\/l*l))**(-47)\/(l*(l\/((l*l*l**(1\/33)\/l)\/l))\/l*(l**(-2\/23)*l*l*l)\/l) assuming l is positive.\nAnswer: l**(33485\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 1}. What is prob of sequence ci?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -12) + (-1 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -12. Is -13\/18 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7051.412m?\nAnswer: 705141.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 18. Calculate j(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/5 + 822*w**3\/5 + 3277*w**2\/5 + 4092*w\/5 + 1636\/5 = 0. What is w?\nAnswer: -818, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288)*-3 - (sqrt(2) + 1 + sqrt(2)*1 + sqrt(8)*-6))**2.\nAnswer: -164*sqrt(2) + 13449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 + -1.03. Let s = 1.1 + v. Suppose 7 = -4*n - 1. Which is the closest to s? (a) 4 (b) 3\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-912)*4)\/((198\/858)\/(4\/13))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 976 + 1138 = s, 14*c - 126 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 193831 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -533*v**6 + 585*v**2 wrt v.\nAnswer: -63960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 20. Let v = -15 - -26. Calculate the remainder when v is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n**(6\/7)*n)**(-2\/9) assuming n is positive.\nAnswer: n**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15771*c - 6968*c - 1209*c + 3842*c - 6473*c.\nAnswer: -26579*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 117 and 1895\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*2*-3).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:18 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02559993338 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-11))**(4\/5)*(i*(i*i*i**(-4\/9))\/i)\/i*(i*i*i**(-1\/44)\/i)\/i)**(3\/23) assuming i is positive.\nAnswer: i**(-16369\/15180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-8\/7))\/(j\/j**(2\/11)))\/(j**(12\/11)\/(j*j\/(j\/(j\/j**(-3\/7))))) assuming j is positive.\nAnswer: j**(29\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.5 + 28.28. Round a to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007127 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(363)*-2 + 2) + (sqrt(363) - (2 + 2*sqrt(363))) + 2*-2*sqrt(363) + 0)**2.\nAnswer: -3740*sqrt(3) + 105007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (377868\/24)\/(14721\/(-6)). Let u = -8\/701 + z. Which is the smallest value? (a) -0.3 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/414080070 and 81\/55210676?\nAnswer: 828160140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 2, s: 6, m: 4, k: 1}. Give prob of sequence bks.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 - 267*h + 805. Give l(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.5. Let w = 20 + -18. What is the nearest to c in w, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 50, -35, -100, -139, -146, -115?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 divided by 8?\nAnswer: 351\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4, -1.4, -3\/19.\nAnswer: -4, -1.4, -2\/11, -3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -27017*l**2. Let i(d) = -3968*d**2 + 2. What is i(f(j))?\nAnswer: -2896315770752*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -2)**2 - (sqrt(104) + (sqrt(104) + sqrt(104)*-1 - sqrt(104)))\/sqrt(8)) + (2*-6*(sqrt(832) + 2 + sqrt(832)))**2.\nAnswer: 9176*sqrt(13) + 481112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -2 - (-2)\/(2\/5). Suppose 3*u + x*u = 49. Solve -u - 1 = 2*g + 3*h, -2*g + 2*h = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 + 10100?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 - 53142798*f**3 - 15*f**2 + 53142754*f**3.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -19. Suppose p*n - 1080 = 4*n. Suppose -2*c = -290 - n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/88*(3 + 5)\/(22\/(-77)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 5*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 725*v + 446*v - 354*v as z + m*v and give m.\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 397, 421, 459, 511, 577, 657?\n\"Answer: 7*d**2 + 3*d + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 76*u**2 - 62*u**4 + 63*u**4 - 24*u**2 + u**3 + u**3 as g + x*u + z*u**3 + t*u**2 + a*u**4 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -5, -570, 3, 0, 5 in decreasing order.\nAnswer: 7, 5, 3, 0, -1, -5, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 17*r - 27. Let z be s(7). Let i = -40 + z. Let w be (-5 + i)*-1*(-6)\/(-4). Which is the biggest value? (a) 21 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 139*d**2 + 588*d - 6481. What is m(135)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Suppose -1 = -2*b - l + 2, i*l + 41 = 4*b. Suppose o = r + b*r + 38, 0 = 2*r - o + 17. Which is smaller: r or -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1204656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.078 - -15.078. What is the smallest value in 1\/3, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 15*v**2 + 28*v + 22. Calculate r(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90*((-18)\/(-6) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24\/7 + -22\/7. Let g = 1 + -1.4. Let n = g - -0.4. Which is the third biggest value? (a) 0.1 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Which is the smallest value? (a) m (b) -2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 204\/(-255)*(-4)\/(-8). Which is the second biggest value? (a) -1 (b) n (c) -1083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/12)\/(1\/(-3)) + 5. Suppose 0 = 2*n - m*u - 35, 2*n + u - 36 = -n. Solve -4*t - 2*z + 11 = -n, 0 = -5*t + 5*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4355 + -43487\/10. What is the common denominator of r and 43\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2502 and 0.2.\nAnswer: 0.05004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(245) + 2 + sqrt(245) + 1 + sqrt(245)*2 + sqrt(245))**2 + -1.\nAnswer: 140*sqrt(5) + 6129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k - 4. Which is smaller: -1\/15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3446310 and 1723155?\nAnswer: 3446310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**3\/6 + 3*c**2\/2 - 16*c. What is the first derivative of t(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180*a**3*b*r - 24*a**3*r - 2*a**2*b*r**2 + r**2 wrt b?\nAnswer: 180*a**3*r - 2*a**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -38. Suppose -2*d + 8 = x. Suppose 4*z + 85 - 401 = d. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - 1*sqrt(28))\/sqrt(7)*4)\/(-6*(sqrt(200) - 2*sqrt(200)) + sqrt(200) + sqrt(200))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14574*g**5 + 2951*g**2 wrt g.\nAnswer: -874440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l*l\/l**5)\/l)\/l)*(l*l**(-39))\/l*l**(7\/2)*l*l*l*l**39)**(10\/3) assuming l is positive.\nAnswer: l**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2258*u**3 - 4563*u**2.\nAnswer: 13548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103320212002 (base 4) to base 8.\nAnswer: -23704602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by -270?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -22695300 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, i: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 142 - 42 = -2*t, -2*y - 93 = -t. Suppose 38 = o - t. Calculate the remainder when o is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7139036*h**3 + 1510574*h**3 - 274528*h**3 + 8107300*h**3.\nAnswer: 16482382*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-8))\/((-15)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -0.0104?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 7. Let o(i) = 7*i + 13. Let c(v) = -5*d(v) + 3*o(v). Let g be 85\/4 - 7\/28. Let k = g - 27. Give c(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3506 - -3893. What is the remainder when h is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 14*q**2 - 14*q - 11. Let t be a(-13). Suppose -t*s = -2 - 8. Calculate the remainder when 16 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 * 0.082465.\nAnswer: 10.802915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiijihiiijxizixxnin. What is prob of picking 2 i, 1 n, and 1 j?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -44. What is the highest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m + 4. Let f be p(-5). Let i = 248953\/10 + -24960. Let w = -65 - i. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 60*g + 542*g + 85 - 27 - 28 as c + x*g and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22069 - -28744. What is the greatest common factor of y and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Suppose q + 4 = -q. Let i(b) = b**3 - 4*b**2 - 4*b - 4. Let k be i(5). Let j(c) = -3 + 3 - k. What is q*o(n) + j(n)?\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111222212 + -10?\nAnswer: -1111222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b = 32*b + 21. Let a = -25 + b. Calculate the common denominator of 20\/27 and a + (15\/10)\/((-9)\/19).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/136)\/((-140)\/(-112))*(-34)\/1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001617403 to five decimal places.\nAnswer: -0.00162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 140, 143, 146?\n\"Answer: 3*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27780341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24878419147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*r + 380*r + 22*r**2 + 22*r**2.\nAnswer: 44*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-2)\/8)\/((-1)\/124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287\/372 + -2\/93. Let z be (-12)\/32*(-2)\/(-3). Which is the biggest value? (a) d (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 523, 545, 587, 655, 755, 893?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 + 7*x**2 + 14*x + 18. Let b be w(-11). Let r = -108601\/18 + b. Find the common denominator of r and -47\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Suppose -k*g = -4 - 16. Solve 0 = g*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**3 - j**2 + j - 1. Let d be o(1). Let z = 0 - d. What is the lowest common multiple of z and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 50*a - 323. What is the remainder when 817 is divided by i(-42)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10347779\/7386 + 1401. Calculate the common denominator of x and 143\/18.\nAnswer: 22158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -478, -1860, -4150, -7342, -11430, -16408, -22270, -29010?\n\"Answer: p**3 - 460*p**2 - 9*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.6431, 2\/5?\nAnswer: -0.6431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-17)\/102)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -1\/70*r**7 - 1\/112*r**8 + 1\/40*r**6 + 0*r**3 - 3*r**2 + 0 + 0*r**4 + 0*r + 1\/20*r**5. Find b, given that p(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -998.09 - -998. What is the nearest to -97 in 2, 0.2, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 34303154*f\/3 + 294176593586929\/3.\nAnswer: (f - 17151577)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*o + 186, 2*o + 161 + 110 = 3*u. Suppose -u = -3*x + 2*x. Is 2\/3 + x\/3 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8082.9 rounded to the nearest one hundred?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23523518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.217 and 0.026.\nAnswer: 4.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 16.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15419?\nAnswer: 17, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + 173a1a?\nAnswer: 173a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**5\/20 + 8. Factor b(z).\nAnswer: -z**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(135) - sqrt(135)) + sqrt(15) + (-2*sqrt(120))\/sqrt(8))\/((sqrt(20)*-2)\/sqrt(4)*3))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240280 is divided by 1120139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.75 - -3. Let f = 73 - 77.75. Let v = m - f. Put v, 0.5, -1\/3 in descending order.\nAnswer: v, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (300\/(-9))\/((-2)\/58200). What is d rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*h**3 + h**3 - 17*h + 26*h wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y - 0. Suppose 0 = y*q - 16 + 6. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 17. Suppose 5*c - 13 = 92. Calculate the remainder when c is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 14067 (c) -64.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77180\/27013*(-308)\/16.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {c: 5, q: 2, p: 2, l: 2, n: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -114 + -55 + -16 - -63\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + -18. Let z be (-6)\/a - 250\/(-12). Is z*((-4)\/6 + 1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 11) to base 8.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:03 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/(-10))\/4)\/((-21)\/(-70))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107498701?\nAnswer: 17, 6323453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 4*u - 387 + 4*u + 389 + 4*u.\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 8766.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-5))\/(4\/(-110)). Let k be (9\/6)\/(1\/6). Suppose -8*q + k = -23. Calculate the greatest common divisor of s and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-2)\/(4\/9). Let v be (-18)\/5 + (-10)\/25. Is v at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3, 4*f = f + 3*k - 18. Sort -1, -4, 1, f in descending order.\nAnswer: 1, -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/30)\/((-2)\/132) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 66?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13702060 rounded to the nearest one hundred thousand?\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/20 + 11*u**4\/6 + 10*u**3\/3 - 19*u**2\/2 - 3*u - 156. Calculate f(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80996.\nAnswer: 2, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62263, -124386, -186509, -248632?\nAnswer: -310755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1073 (b) 2 (c) -2 (d) 2\/5 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 + 33?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*s - 1, 5*s = 2*q - q + 13. Suppose 2*c + s*b - 76 = 0, c + 3*c - 4*b = 192. Let w = -25 + c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1837?\nAnswer: -1\/1837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114 + -12 - 190) + 67.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86343 divided by -188.\nAnswer: -86343\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(375) - (sqrt(375) - 1*sqrt(375)))*-1)\/((sqrt(192) + (sqrt(192) - (sqrt(192) + (sqrt(192) - sqrt(192)*-1*-3) + sqrt(192))))*5).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 2. Let w be s(1). Let x be (-68)\/(-12) + w + (-64)\/78. Is -1 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 3\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37599279 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:32 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19) + -1 + sqrt(304)*5 + -3 + 1 + sqrt(931) + sqrt(931))**2 + (5 + 1 + sqrt(304)*-2)**2 + -2.\nAnswer: -516*sqrt(19) + 24561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - 1 - (-12 + 8 + -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677832 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: Let x = 1180\/7 + -169. Let t = 4 + -5. Let v = t - 0. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/15*(-2 + -25). Suppose -i*y - 2 = -10*y. Suppose y*v = 4*v - 182. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 80*i + 42*i + 16*i - 86*i.\nAnswer: -4*i**2 - 108*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132.52 + 132.52. What is the closest to -0.1 in -3, v, 4\/31, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 347, 347, 357, 383?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -13, 11, 57, 125, 215?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -58*r**2 - 5*r + 67. Let v(n) = -29*n**2 - 2*n + 26. Let u(j) = 2*d(j) - 5*v(j). Let o(z) = -28*z**2 - 3. Give -4*o(f) - 3*u(f).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7218006173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*6*-28. Let h = 44 + m. Let d = 409\/6 + h. Is d less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84291 = 3994*q + 73711 + 4069 - 22281 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2285 divide 18391513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3))\/sqrt(7) - (sqrt(2) - 2*sqrt(128)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 1\/2*y**3 - 1\/24*y**4 - 1\/60*y**5 + 0*y + 0 - 38*y**2. Give r(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153)*-3 + (-4*(1*sqrt(204) + sqrt(204)))\/sqrt(12))*-6 + 1)**2.\nAnswer: 204*sqrt(17) + 176869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**3\/2 + 75*i**2\/2 + 21*i. Let h be x(24). Suppose -2*o = -5*f + 13799, f = h*o + o + 2749. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5762*j**3 + 2884*j**3 + 2875*j**3 + 187 - 187.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8485 is divided by 708.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 745 - 3723\/5. Sort 104, d, 0.2 in decreasing order.\nAnswer: 104, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s - 5*o = 9, s + 185*o - 2 = 182*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 565 and 2034.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31031243 + 12131?\nAnswer: 31043424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1181 and -294137\/249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-8)\/(160\/(-30))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 17*x**2 + 110*x - 7876. Determine r(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.7, -5, 0.4 in descending order.\nAnswer: 0.7, 0.4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -61265221 minus 1812?\nAnswer: -61267033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 727\/10024 + 3\/179. What is the common denominator of v and 133\/72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -603*o**2 + 2*o + 3. Suppose 2*x + x + 3 = 0. Let c be v(x). What is the units digit of (3 + 0 - 0)\/((-21)\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, a: 7}. Give prob of picking 1 k and 1 a.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1574 - 600 = -112*l + 66. Calculate the remainder when l is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 787.5899ml?\nAnswer: 0.7875899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 26579630?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -310 + 192. Let j = -119.92 - i. Let t = -0.5 - j. Round t to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 1 + 8*h**2 - 7*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -21*p - 125 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 + 9. Suppose 0 = -3*v - 1 + 22. Let w be m(v). Calculate the highest common factor of w and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.07 + 18. Let t = 0.128 + g. Round t to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6*z - 3. Let x be v(5). Let s(h) = -3 - x*h - h**2 - 5*h - h + 3*h. Suppose 3 = -l - 2*q, -5*l - 15 = 4*q + q. Give s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t. Let f(v) = 8*v. Let m(z) = 7*z. Let y(q) = -6*f(q) + 7*m(q). Determine k(y(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -0.27. Let n = 0.02 - v. Let q = n + 0.12. Which is the biggest value? (a) 0 (b) q (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smmsmeemsmmimmmmp. What is prob of sequence pims?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 3*r + 51 = 0, 2*d = -5*r + 101315 - 101266 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1639\/606 + 114\/101. Let p(o) be the second derivative of 0*o**4 + 0 + u*o**3 - 13\/20*o**5 + 0*o**2 - 26*o. Find the second derivative of p(f) wrt f.\nAnswer: -78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111112011111 (base 3) to base 14\nAnswer: 6d02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1207 - -1204. Put t, -10, 2, 5 in decreasing order.\nAnswer: 5, 2, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -309.6 - -310. Let c = 6 + -11. What is the nearest to q in c, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 108?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027244 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -16*1 + (-198 - -206)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150015 + 937259. Let g = -487256 + z. Suppose 3*b = w + b + 59992, 5*w + g = 3*b. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -807 + 812. Solve 0 = -u + 5*i - 2 + 25, -x*u = -i - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 4*l**3 + 3*l**3)*(-61*l - 74*l - 62*l).\nAnswer: 197*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 991752, 991754, 991750, 991734, 991700, 991642, 991554, 991430?\n\"Answer: -z**3 + 3*z**2 + 991750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m + 5. Let r(j) = -3*j + 1. Let q(i) = -i. Let o(n) = -4*q(n) + r(n). Determine c(a) - 4*o(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 + 0*d - 7*d - 15*d**3 - 4*d - 15*d**2 + 6*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.088 + 1182.912. Let j = b - 1184.00000897. What is j rounded to 7 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238080, -476158, -714236, -952314, -1190392?\nAnswer: -1428470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 445*g**2\/2 + 25674*g - 883008.\nAnswer: (g - 288)*(g - 84)*(g - 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 84.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -11. Suppose 4*p + 8*w = 3*w, 0 = -3*p - w. Suppose j - 6 = -p*j. What is the highest common divisor of y and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293573.7 microseconds to weeks.\nAnswer: 0.00000048540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 9. Let k be j(7). Let l be k\/4*(-2)\/3. What is the third biggest value in 1\/4, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43125*i**2*z**2 - 2*i**2*z + 16*i*z - i - 154*z wrt z.\nAnswer: -86250*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1, 2, -14.29, -1.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 325 - 188. Is t >= 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 7159302?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 837844, 1675811, 2513778, 3351745, 4189712?\nAnswer: 5027679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (16 + (8 - 23)) - -37?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389186473.\nAnswer: 13, 23, 41, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14.5 (b) -5 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35620, 71237, 106854, 142471, 178088?\n\"Answer: 35617*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from fgotj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g = -76*g - 29. Let i be (2*-764)\/(-4) - 3. Suppose i = 5*b - 56. What is the highest common divisor of g and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-9) - 24\/108?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7868526 and 2826?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 + 21\/12. Suppose r = 2*g - 4*g, 3*u + 5*g - 58 = 0. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -3\/2*w**2 - 2*w - 7 + w**3 - 1\/4*w**4. Let d(o) = 4*o + 4*o**2 - 6*o - 2*o**2 - 1. Calculate -3*d(c) + 2*t(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4141 - 4136. Solve 2\/7*n**4 - 2\/7*n**3 + 0 + 0*n - 2\/7*n**2 + 2\/7*n**v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26358 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 6134350*v**2.\nAnswer: 5*v**2*(v + 1226870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390763798 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 13 - 4 + 6*z. Let u be 7 + ((-35)\/(-7) + -14 - -7). Let v be r(u). Solve 3*j = v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -981 + 987. Sort -5, w, -15 in increasing order.\nAnswer: -15, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, -18, -1, 0, -40 in descending order.\nAnswer: 8, 5, 0, -1, -18, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 8. Let h(r) = -17*r + 16. Let f(b) = 6*h(b) + 13*u(b). Differentiate f(m) wrt m.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3 - 2\/6)\/(175\/22050). Calculate the highest common divisor of p and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 2*r + 4*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/141908 and -193\/64186080.\nAnswer: 834419040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998537 is divided by 6535?\nAnswer: 5217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/4, 0.4, -1\/9, 885?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b. Let y = 35 + -25. Let l(g) = -6 - 2*g**2 + 16 - y. What is l(o(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334598 is divided by 30413?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114151694.\nAnswer: 2, 57075847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 132474*z**3 + z. Let k be y(1). Suppose 4*v + k = 2*w + v, -3*w = v - 198685. Let u = w + -6230. Round u to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33663457871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, n: 1, k: 1, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -29*g**8\/1680 - 9*g**4\/4 - 104*g**3\/3 + 15. Let r(q) be the third derivative of d(q). What is the derivative of r(n) wrt n?\nAnswer: -116*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cd7e (base 16) in base 8?\nAnswer: 146576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 458 + 2447 = 0. List the prime factors of x.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/740 and 29\/1715?\nAnswer: 253820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68136 and 1363332.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + -6 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 20 - 1141*z - 10 in the form p + v*z and give v.\nAnswer: -1141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c + 5\/18*c**3 + 144 - 7\/12*c**2. Factor k(y).\nAnswer: (y - 2)*(5*y + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112084 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*q - 12, 0 = q + q - 2*z + 12. Let k be q\/(4\/(-6) + 1). What is the units digit of (0 - k)*(0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322278475 and 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -5, 0.58?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4174 at least 4173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 + v**5\/15 + v**4\/12 - v**3 - v**2. Suppose -5*u + 3 + 7 = 0. Suppose u - 6 = -g. Determine a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minus 1.5659712811?\nAnswer: 39.4340287189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 34 = 9*f + 7, -2*f - 2 = 88*n - 90*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 9. Let o = k - -6. Let h = 68 + -66. Sort -5, o, h in descending order.\nAnswer: h, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 4*(sqrt(108) + 1*sqrt(108))*-6 + 5*(3 + (sqrt(108) + sqrt(108) + 2 - sqrt(108))))*-1)**2.\nAnswer: -13932*sqrt(3) + 200421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388509 by -193.\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 881 divided by 45\nAnswer: 881\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*k*t**3 + 4*t**3 - 5*t wrt k.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + 5 + -9)\/((-70)\/(-28)). Factor -5\/2*n**l + 1\/4*n**5 - 5\/4*n**4 + 5\/4*n + 5\/2*n**3 - 1\/4.\nAnswer: (n - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/12)\/(-1))\/((-37)\/(-222))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.9999987 + -44. Round r to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-60))\/(6\/27)*(-2)\/(-177)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331295701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2321*s - 24. Let v(r) = 4644*r + 61. Give -5*n(z) - 2*v(z).\nAnswer: 2317*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -3\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843999145.\nAnswer: 3, 5, 13, 43, 167, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 14 + (13 - 33).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3384, 6761, 10122, 13467?\nAnswer: 16796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*k + 7*r + 36, -3*k - r + 51 = 0. What is the lowest common multiple of (-15)\/(-2)*k\/12 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 1. Suppose -1 = q - 4. Suppose -4*k = -2*d - 14, -q*k + 12 = -3. What is the remainder when d is divided by o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7416 divided by -1236\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o. Let r be (((-66)\/4)\/3)\/((-44)\/(-176)). List the prime factors of a(r).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16746287, 16746281, 16746273, 16746263?\n\"Answer: -z**2 - 3*z + 16746291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 5 = 5*v + 4*q, -v + 5*q - 22 = 0. Suppose 2*w - v*j = -2*j - 22, -18 = w - 4*j. What is the units digit of ((-8)\/w)\/((-4)\/(-190))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118634266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 6*a**2 + a + 2. Suppose 17 = -7*s - 4. Let g be k(s). Let m = -0.1 + 0. What is the closest to g in m, 1\/19, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5013 - -5011. Sort 1, l, 1.4, 3.\nAnswer: l, 1, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-18)\/(18\/2))\/(1\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1806 - -1793 - (-5 + 0 + 1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4589 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -36*f - 5. What is w(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from kkkkkiikkk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29944 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 13*b - 45. Calculate the lowest common multiple of 11 and t(18).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - k - 12. Let r(s) = 307*s**2. Give n(r(w)).\nAnswer: 188498*w**4 - 307*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -57. Suppose -10 + 25 = 5*j. Find l, given that j*l - 8*l - 5*l**3 - 3 + 3 - t*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 1174. Let a = -4729\/4 - x. Let m = -8 - a. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*m - 7 = 3, -4*m - 8 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.58 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-15))\/((-2)\/(-145)). Suppose 0 = -u + i + 15, c = 5*u + 5*i - 7. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 57 = -4*m, 5*m - 57*z + 62*z = 65. Solve 0 = -m*c + 13*c - o + 2, -28 = -5*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 1. Let l(n) = 5*n - 4. Let t(y) = 11*a(y) + 4*l(y). Let c(u) = -u**2 - 6*u - 5. Let v be c(-4). Suppose 0 = -v*o - 7 - 5. Give t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, i: 1, h: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 159. What is the lowest common multiple of 3 and l?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49565 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6632.272+25\nAnswer: 6657.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39246517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12791677.\nAnswer: 37, 227, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 625*s - 1. Let u(v) = -21870*v + 35. Let y(k) = 70*g(k) + 2*u(k). Let f(l) = 1 - 8*l**2 - 1. Determine f(y(d)).\nAnswer: -800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 801*x - 21*x + 416*x + 11960 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 9 + 5 = 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -580*q**4 + 5273*q wrt q.\nAnswer: -6960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89350291 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:29 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 202.2. What is the third biggest value in -1, a, -2\/3, -204?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.82855nm to meters.\nAnswer: 0.00000003582855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 488*h + 2282 + 2110 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*h**3 + 174*h**3 + 106*h**3.\nAnswer: 171*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 173\/5 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**8*n)\/n*(n\/(n\/(n\/(n\/(n*n**(-6)\/n))*n)))\/n)**(-20\/11)*(n**(-1\/2))**(-8\/5)\/(n**(4\/5)\/n*n*(n*n\/(n\/n**(-5)))\/n) assuming n is positive.\nAnswer: n**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 a factor of 203598051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69065432?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4 + 70443*f**3 + 173381397*f**2 + 112980351033*f - 113153802876 = 0?\nAnswer: -20788, -1347, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:47 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-1)\/(5\/(-10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/604 and 25\/7.\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, k: 2, j: 1, p: 2, d: 1}. What is prob of sequence du?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 28 + 2\/4*-16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1906704?\nAnswer: 2, 3, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.95 (b) 1 (c) -0.5 (d) -2\/13 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1694142 and -32.52.\nAnswer: 1694109.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-117) + 0 + 70\/(-18). Which is the nearest to -0.2? (a) 0.1 (b) n (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 1 e when three letters picked without replacement from {e: 6, h: 4, u: 2, g: 2, l: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*q, 0 = p - 0*p - 4*q - 18. Suppose p*o - 7*o + 33 = -4*g, 6 = -3*g. Calculate the lowest common multiple of o and ((-22)\/(1\/(-1)))\/2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4031, -3991, -3959, -3935, -3919?\n\"Answer: -4*f**2 + 52*f - 4079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 687338 = -3*p + 687275, 5*p = 2*s - 90 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 + -47 - 8) + -29?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -29. What is the remainder when l is divided by (-245)\/(-15) - (-2)\/(-18)*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13310341 - 14?\nAnswer: 13310322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 4. Suppose -n + 129 - 124 = 0. Give v(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.76 + 6. Let x = -2.34 + u. Let f = x + 2.9. Are f and 0.01 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1812 + 1811.9. Which is the fifth smallest value? (a) 1 (b) k (c) -4 (d) -13 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.91409s to microseconds.\nAnswer: 13914090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 7*n - 10. Let v be j(-8). Let t = v - 9. Let k(o) = o**2 + 5*o - 6. What is the units digit of k(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18219727*q**5 - q**2 + 7562*q + 1593.\nAnswer: 364394540*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56357397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18*(-144)\/(-480))\/(76\/16)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 32 = -3*w, -25*l + 21*l + 5*w + 20 = 0. Suppose -6*u + l*u + 2270 = 3*n, -4*n = 2*u - 3034. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**3 - 38*h**2 + 463*h - 69. Let c(k) = 2*k**3 + 10*k**2 - 120*k + 18. Let x(y) = -23*c(y) - 6*j(y). What is x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 82677 and 82657 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 268040.42 from -0.758.\nAnswer: -268041.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 5*p**2 + p + 4. Let n be q(4). Suppose -n = -r - 2*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 18. Suppose -3*w = -0*w + n + 46, 0 = 3*w - 3*n + 54. Determine t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8021 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 4, g: 1, r: 4, p: 1}. What is prob of sequence gn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1281b + -2?\nAnswer: 12819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*b + 4*z + 27 = 143*b, -2*z = -3*b + 17. Solve b*k + 4 = -17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c - 3*a, -3*c - 4*a = -c - 8. Let l = -69.8 - -61. Let q = l - -9.4. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 3*m**3 + 49 + 364.\nAnswer: -2*m**3 + 413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 2047.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 529*g**4 - 8*g**3 + 3 - g - 527*g**4 to the form v*g**2 + r*g**3 + f + n*g**4 + h*g and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*s**2 + 30 - 650*s + 323*s + 327*s wrt s?\nAnswer: -138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*251 + 3 + -3 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*t - 6 - 6, 0 = -3*p + 3*t + 9. Let m(y) = y. Let x(u) = 16*u + 18. Let r(l) = p*x(l) + 3*m(l). What is the first derivative of r(s) wrt s?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/12*u**4 + 1\/20*u**5 - u**2 + 0 + 11*u - 1\/6*u**3. What is y(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qmdmddqqqmn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {h: 1, a: 3, i: 1, y: 6, b: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*q + 21*q + 3 - 8*q + (q + q - 3*q)*(-3 + 0 + 2) - q + 6*q - 3*q.\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 - 2*w - 3. Let k be v(-2). Suppose s + 2 = 3*q, 0*q + 5 = 3*q + 2*s. Let u = q + k. Let l(n) = -2*n + 7. Give l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, -0.2, 4, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 158.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.0234ml in litres?\nAnswer: 0.2660234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214144 (base 6) to base 9.\nAnswer: -26341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 - v**3)*(2*v + 1 - 1) - v**2 + 2*v**4 + v**2 + (-2*v - 3 + 3)*(2*v**3 - v**3 + 0*v**3) + 3*v - 3*v - 2*v**4.\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.8 + 73.7. Let l = -38 + n. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123*0.4\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-5*(-6552)\/(-105). Let b = -615 - g. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -9 + -1 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.4 + 8. Let o = 0 - 0. Let y be (2 - (-5)\/(-3)) + o. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 40*y - 264. Calculate w(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yovig. Give prob of picking 1 g and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 418*a + 57. Let d be o(3). Let q = -410 + d. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19140559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 34, -5048, -10?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-5)\/(-4)) + 1. Let t be ((-6)\/(-14))\/((-12)\/(-84)). Suppose t*g + 2*g - 9 = -3*h, -i*g = 0. Solve h*d + 5 = 8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4753 = -12*z - 0*z - 5197 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31818 by 2.\nAnswer: -15909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 690.6 - 491. What is y rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 4, -3, 307184, -1 in decreasing order.\nAnswer: 307184, 4, -1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -262\/1393 - -9\/199. What is the smallest value in 5\/8, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/7 at least as big as 4412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1516, 5, 22 in descending order.\nAnswer: 22, 5, -1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3912912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/2088660 and 193\/11040060.\nAnswer: 77280420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + y + 242940 = 0, 0*d - 3*y + 242924 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99058390.\nAnswer: 2, 5, 9905839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 844933, 844986, 845039, 845092?\nAnswer: 845145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/3))\/u)\/(u**7*u*u))\/((u\/(u**(1\/9)*u))\/u*(u**(-2\/23)*u)\/u) assuming u is positive.\nAnswer: u**(-1684\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 268c?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from aeeaeqqqqeqaaq?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 149*n**2 + n - 138*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:41 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10891 + -119749\/11. Find the common denominator of b and 93\/11362.\nAnswer: 124982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + sqrt(931) + sqrt(931) + 0.\nAnswer: 6 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214277 and 29939.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -2\/15, 32, 2\/5, -5, -67?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 24. Let q be r(-2). Let s(o) = 3*o + q*o - 35*o. Calculate s(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3101*d**3 - 4*d**2 + 5*d - 2. List the prime factors of h(1).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11535 = 2*q - 2945. Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0478 and -11829.02.\nAnswer: -11829.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-36)\/30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 7:01 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 205 = 99. Let p(l) be the third derivative of l**4\/8 - 15*l**3\/2 + 9*l**2. Let c be p(u). Solve 2*m + m = -s + c, -5*s = m - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69670 in 0, 3\/32, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 12*a + 19. Let t be b(13). Let n = t + 22. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:44 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.769304 and -4.2.\nAnswer: -24.2310768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/3 (b) 3.6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 15 - (1 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5851 times -21.5?\nAnswer: -125796.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9423.053ns to seconds.\nAnswer: 0.000009423053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -5 (c) 0.17 (d) -131 (e) 3\/8 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 101 + 14962*t**2 - 46 - 20 + (-3 + 3 + 2*t)*(-4*t + 4*t + t) to r*t + j + s*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059482 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392 = 224*z - 3*o + 854, 2*z - 5*o + 7*o = -16 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (517\/(-44))\/(22231\/(-2838))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 855912, 3423682, 7703298, 13694760, 21398068, 30813222, 41940222?\nAnswer: 54779068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + -4 + sqrt(6480))*6*-2)**2.\nAnswer: -995328*sqrt(5) + 15012864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/((-1)\/(-6)))\/1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57584531?\nAnswer: 59, 976009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22734, -24010, -26138, -29118?\nAnswer: -32950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 442 + -439. Suppose g + d*z - 6 = 5, 5*g = z + 7. Solve 4*t = -5*b - 16, g*t = 1 + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**4 - l**2 - l + 2. Let o(v) = -57*v**4 - 246*v**3 - 267*v**2 + 30*v + 108. Let g(w) = 6*n(w) - o(w). Solve g(i) = 0.\nAnswer: -4, -1, 8\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 2*g)*(-14*g**3 - 19*g**3 - 3*g**3) + 3*g**4 + 0*g**4 - 4*g**4.\nAnswer: 71*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79704 divided by 54?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -2, -8?\n\"Answer: -6*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*l + 38*l + 138*l to the form x*l + h and give x.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*t + 12 = 0, 3*t + 7 + 2 = 3*r. Let y = 4 - r. Is (2\/(-2))\/(y\/36) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 7, c: 3}. Give prob of picking 2 o and 1 c.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712010815?\nAnswer: 5, 5113, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37736, 37735, 37734, 37733?\nAnswer: 37732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*v + 5. Let r be (8\/v)\/(4\/10). Suppose -5*q + 16 = i, -2*q - r*i + 10 = -0*i. Solve -o + q = -0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*m - 11*m - 4*y, y = 5*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from ooooqqooqvoqovoqq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -4211013101?\nAnswer: 4211013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 2. List the prime factors of u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (1*3 - (0 + 2)). Let k(t) = -101*t + 3. Let z be k(p). What is the highest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52329*y + y**3 + 104567*y - 52303*y + y**3.\nAnswer: 2*y**3 - 65*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210012284 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 12, -4*p + 3*p = -2*t - 24. Let v(n) = n + 15. What is the remainder when 9 is divided by v(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 181*v + 97. What is the remainder when c(8) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2118*m + 104. Let u(v) = 353*v - 16. Let f(b) = 2*a(b) + 13*u(b). Let y(d) = -3*d. Give y(f(q)).\nAnswer: -1059*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 542968541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 35*j**2 - 494*j - 374. Give s(46).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - y + 14 = 0, 3*h + 2*y - 110 = -89 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398027534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b**2 + 2*b**2 + 0*b**2)*(-b**3 - b**3 + 6*b**3).\nAnswer: -28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 364.2 to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54928.06 litres to millilitres.\nAnswer: 54928060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -470*p**2. Let a(x) = 2*x. Calculate h(a(l)).\nAnswer: -1880*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/6 + 5\/3. Let w = 127\/45 + -13\/5. What is the nearest to 0 in 2\/3, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -0. Let o be (c\/3)\/((-3)\/153). Suppose 5*p - 13 = o. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*v**2 - 513*v**2 + 261*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50533429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n - 2. Let a(z) = -9*z + 2. Let b(g) = -129*g + 2445. Let c be b(19). Calculate c*j(d) - 5*a(d).\nAnswer: -15*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 - 5*o + 6. Let a(u) = -u**2 + u - 1. Let h(c) = 34*a(c) + 6*b(c). Suppose -6*m = -4*w - 4*m - 10, 0 = -2*w - 2*m - 2. Give h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-61500)\/120)\/205*(-34)\/(-5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441944 is divided by 441940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*o = 31, 3*h - 3*o + 13 = -h. Suppose m - 2*m = -k - 19, -m = -5*k - 35. Let z = h + m. What is the highest common factor of 32 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 556.0706 + -556. Let r = i + -0.069929. What is r rounded to five decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174 + -102. Let x = f + -72.0033. What is x rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -263 + 222 + (60 - 28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - 3*s - 4. Let n be t(4). Let l be ((-40)\/n)\/((-1)\/4*1). Suppose a - 5*b + 10 + 28 = 0, -4*a = -l*b + 107. Which is smaller: a or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(66)\/sqrt(6)*-2)**2 - (sqrt(11) + sqrt(275) + 1)) + (sqrt(440)\/sqrt(32))\/((sqrt(150)\/sqrt(3))\/sqrt(10))).\nAnswer: -11*sqrt(11) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198420 (base 11) to base 13.\nAnswer: a8488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (0 - (1 - 2)). List the prime factors of 1\/(s\/15*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183251 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**3 + 66*j**2 - 316*j + 71. What is z(12)?\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**19*a*a*a**(1\/15) assuming a is positive.\nAnswer: a**(316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*b + 7 - 21, b - 5*k = -18. Let p be b\/(-6) - 176\/(-33). Suppose -104*f + 344 = -18*f. Solve -w - j = -7, -j = -f*w - 2 + p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, o: 2, v: 4, h: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25320523 (base 6) to base 14.\nAnswer: -1747d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/14*(-1 + 1). Suppose -4*z - 5*z + 315 = f. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cakananmknbkc. What is prob of sequence kccm?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/8 (b) 0.2319 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/696408 and 97\/13928160.\nAnswer: 13928160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-340)\/(-7))\/(-5) + (3 - 0))*(2 - 9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1141577, 1141621, 1141737, 1141961, 1142329, 1142877, 1143641, 1144657?\nAnswer: 1145961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149\/16 + 2029\/144. Suppose 10*g - 44 = 8*g. Find the common denominator of g and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 293.2?\nAnswer: 290.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -3\/5 (c) -0.2 (d) -1 (e) -0.074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*b = -104*b - 25, 23 = -y - 5*b. Factor 2\/9*f**3 + 242\/9 + 286\/9*f + 46\/9*f**y.\nAnswer: 2*(f + 1)*(f + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 17 = 19. Let s = f - 5. Suppose -s*x + 5 = -7. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 231, 508, 891, 1380?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkktkdttktkkkktk. What is prob of picking 3 k and 1 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -8 - -1) + (-328)\/(-56). Let f be (-1*2)\/(2\/5). Let z = f - -6. Is z at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217797*c + 102866.\nAnswer: -217797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6674, -6687, -6702, -6719, -6738, -6759, -6782?\nAnswer: -6807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7*z + 1)*(-84*z**2 + 84*z**2 - 102*z**3)*(-1 - z + 1).\nAnswer: 714*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 2 k when four letters picked without replacement from ykabvbvnvkb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2. Let f = -8 - -7. Let z be h(f). Suppose -z*j + 873 = 3*y, 4*y + 288 = j - 13. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/35)\/((-29)\/(-435))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1284 - 3*j**2 + 0*j**2 + 728*j - 669*j + 2*j**2 - 2*j**2 wrt j?\nAnswer: -6*j + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:20 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10212012212111 (base 3) in base 14?\nAnswer: 3b57c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*k - 2 + 17, 3*k + 2*i - 50 = 0. Let n be (-8)\/18*(-90)\/k. Solve -7*h = -n*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b = -49*b + 97*b + 54. Put -71, b, 2, 5 in decreasing order.\nAnswer: 5, 2, b, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 45835677*y - 91671325*y + 45835726*y + 1 + 4.\nAnswer: 78*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2 + 446788*q = 0.\nAnswer: -223394, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f - 56. Let n be c(4). Suppose -9*i = n*i - 91. Put 2, i, 8 in descending order.\nAnswer: 8, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52 + 0.08. Let q = k + -1. Let s = -3 - -2.9. Which is the biggest value? (a) s (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71023? (a) -39 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2780, -5577, -8374, -11171, -13968, -16765?\nAnswer: -19562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/12, 185, -4\/9.\nAnswer: -4\/9, 19\/12, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 70*i**2 + 4*i - 13. Let m(j) = j**3 + 15*j**2 + 11*j - 39. Let t be m(-14). Does 18 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {n: 6, q: 3, h: 2, u: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192) + -2)**2 + 6*(2 + sqrt(192) + sqrt(192))**2.\nAnswer: 320*sqrt(3) + 5404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 6 = 5 + 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*z + 4, -4*z - 12 - 1 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -20 in descending order.\nAnswer: 3, -2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 3 (c) -1 (d) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6073.35 to zero dps.\nAnswer: 6073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10786.78 - -4664.\nAnswer: -6122.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71939?\nAnswer: 7, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, g: 1, t: 3, f: 2, o: 5}. What is prob of picking 2 t and 1 g?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3494 or -3616?\nAnswer: -3494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z**2 - 31*z - 44. Let b be h(4). Let x(r) = -r**2 + 21*r + 47. Give x(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200120 - -10211211?\nAnswer: 11011331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1849415 or -2\/3?\nAnswer: -1849415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.3, 0, 0.5, -921034, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(1 + 1 + 0)*(-7715 + 7715 + 154*k**2 + (-2*k + 2 - 2)*(-2*k - 3 + 3) - k**2 - 4*k**2 + 3*k**2) + 4*k**2 - 4*k**2 + 2*k**2.\nAnswer: -622*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, -18.121, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94773123*o**2 - 2*o - 41401903 wrt o.\nAnswer: -189546246*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9549725 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) 5 (c) -302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3\/11 + 569688*i**2 - 12533142*i\/11 + 6266572\/11 = 0.\nAnswer: -3133286, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8)*q*((q**(-10)\/q)\/q)\/q)\/((q\/q**(-1\/3))\/q**(-2\/117)))**(5\/18) assuming q is positive.\nAnswer: q**(-6245\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -691701 (base 11) to base 12\nAnswer: -45087a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 (base 11) in base 4?\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 23 = 7. Suppose -5*p = 3*d - 69, 9*p - 5*p = v*d + 39. Calculate the highest common factor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3030517?\nAnswer: 7, 432931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 169, 371, 655?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24 = m. Suppose h - m + 3 = 0. What is the units digit of 4 - 3\/h*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-47))**(-3\/19) assuming z is positive.\nAnswer: z**(-141\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(108\/32)*-3. Let o(p) = 30*p**2 + 11*p + 5. Is o(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3 - 273*j**2 - 6433*j - 16815 = 0.\nAnswer: -19, -3, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q**2 + 5*q - 4. Let b be h(3). Suppose -2*c = 4*r - 12, -4*c = c - b*r - 78. Let k be c\/16*-2*4. Is -6 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -310.6713 and -0.2.\nAnswer: -310.8713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2692 - 1135. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000000 - -10010101011101101?\nAnswer: 10010111110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 403700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(4 + sqrt(1573) + 0 - (-2*sqrt(1573) + 1)) + -4)*3)**2.\nAnswer: 2376*sqrt(13) + 509688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 3:09 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y + 681 - 445 = -16*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 9:20 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 153*p**2 - 280*p - 4611. What is b(155)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**2 - 8*q + 8. Let d(u) = -u**2 + u - 1. Determine -10*d(o) - z(o).\nAnswer: 18*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose -18 = -5*d + 2*d - 3*q, 4*q = p*d - 75. Let n(f) = f**3 + 4. Let v(k) = 3*k**3 + 11. Give d*n(c) - 4*v(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18) + -1)*-3 - sqrt(450)*3) + sqrt(90)\/(sqrt(25)\/sqrt(5)) + (sqrt(18) - sqrt(198)\/(sqrt(275) + sqrt(11))) + sqrt(18) + 5)**2.\nAnswer: -728*sqrt(2) + 8409\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53c9 + -181a?\nAnswer: 39ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqtq when four letters picked without replacement from {t: 3, q: 8}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18566, 39956, 64172, 91220, 121106?\n\"Answer: d**3 + 1407*d**2 + 17162*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*(sqrt(99) + 0 + sqrt(99)) + (sqrt(99) - (-4 + (sqrt(99) - (1 + sqrt(99)))))) + 2)*2)**2*6*-2.\nAnswer: -99264 + 25344*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -42909?\nAnswer: -1716.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 274 = 264. Suppose -c*i + 246 = 3*p, 2*p = i - 3 - 41. Calculate the greatest common factor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - (2 + -2 + 0). Solve -2*j - 3 - m = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2077\/114 (b) 2 (c) -6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -40. Solve 0 = -4*c + q*i + 12, i + 2*i = -3*c - 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1534, 1533, 1532, 1531, 1530, 1529?\n\"Answer: -x + 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 3\/4 (b) -1\/4 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 576, 516, 454, 390, 324?\n\"Answer: -n**2 - 57*n + 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((11410\/1)\/(-7)))\/((-20)\/(-50)).\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -148955 and -603.\nAnswer: 89819865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 58*g**2 + 2*g + 10. Let c(m) = -117*m**2 - 4*m - 19. Let k(j) = -6*c(j) - 11*q(j). Let l be k(4). Suppose -12*n = -16*n + l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let d(v) = -37286*v**2. Give h(d(t)).\nAnswer: -74572*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67 and -4.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 480 = -9*i - 6*i - 18*i for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*i + 122 - 358 = 0, c - i = 115. Let w be (-16)\/c - 46\/(-14). What is the third biggest value in w, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(100)\/sqrt(5)*5.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 8:35 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32072\/1786 + (-90)\/5?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*1*5.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1461824149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 - 7*i - 2. Let l(c) = 7*c**2 + 15*c + 3. Let v(u) = 3*l(u) + 5*y(u). Let z(k) = -k. Let t = -928 + 930. Calculate t*v(j) + 18*z(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 4.5. Suppose 1549*z - 1540*z = 180. Suppose -z*r + 204 = 104. Which is the third biggest value? (a) o (b) 1 (c) -2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 2 + (-27 - -2) - (-47 + -1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 33. Let h be g(47). Suppose h = 4*p - y, -y = p - 29 + 2. What is the highest common factor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 4*b - 4*b)*(-14 - 12*b**4 + 14) + 2*b**5 + 0*b**5 + 0*b**5.\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + x = 2, 2 = p + 2*x - 2. Solve 2*f + y + 14 = p, 0 = -f + 2*f + 5*y + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -428 + 747. Let f = i - 319.5. Which is the closest to -17? (a) -3 (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11111\/19 greater than or equal to 586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11126019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 2*b + 2*b)*(b**2 - 11*b**2 + 26*b**2 + (-2*b - b + b)*(0*b + 2*b - b) + 0*b**2 - b**2 + 2*b**2) in the form g*b + k*b**2 + v*b**3 + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496148, -496149, -496150, -496151, -496152, -496153?\nAnswer: -496154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-2\/5))\/b)\/b**(-1)*(b\/(b**(1\/4)\/b))**(-39))**15 assuming b is positive.\nAnswer: b**(-3951\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 7*z - 5. Let h be d(5). Sort -7, h, 2, 3 in ascending order.\nAnswer: -7, 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*x - 67 + 37, 4*x + 40 = 4*k. Let q be (-3)\/k + 0 - 148\/(-688). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:34 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1131700458 by 3066.\nAnswer: 369113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202222 (base 3) to base 11.\nAnswer: -2083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 181530.7.\nAnswer: -181530.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w - 4*v - 6036 = 0, -5*w - 4*v + 7599 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:25 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*k + 2*k - 4*k**3 + 0*k - k in the form r + n*k**3 + o*k**2 + j*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1607197 is divided by 121.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6870965 * -3\nAnswer: -20612895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + a - 3 + 0*a - 4. Let z be v(-5). Let d = -19 + z. What is the greatest common divisor of d and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by 91\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736644 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Let n(d) = d**2 + 5. Let p(i) = 2*i**2 + 0*i**2 - 4*i**2 + 3*i**2 + 6. What is j*n(c) - 5*p(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 65*h**4\/2 - 559*h**2. Let s(z) = -z. Give s(m(q)).\nAnswer: -780*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - w + 0*w + 9*w**2 + 34*w**2.\nAnswer: 43*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + (18 - 19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 92*q - 4 + 0 - 184*q.\nAnswer: -276*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a + 3. Let v be x(-5). Let q = 4786 - 4784. Sort q, v, 21.\nAnswer: v, q, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*v = -6*n + 2224, 4*n - 4*v = 2224. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -36. What are the prime factors of (-14)\/6 + 2 + 52\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 7*s**2 - 9*s - 5. Let i be u(-8). Let a = i - 2. Suppose 3*k = -w + a, -3*w + 0*w - 5*k + 3 = 0. Is 2 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/9)\/((74\/3)\/2). Let p = v - 269\/185. Which is the closest to 0? (a) 0.1 (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27.23428cm?\nAnswer: 272342.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -916*g**7\/35 - 2605*g**4\/12 + 6*g**2 - g + 12. What is the second derivative of w(m) wrt m?\nAnswer: -65952*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -279 - -281. Suppose 0*x + 20 = 5*x. Solve -l*f + 0 = -x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0286 - 0.0188610607?\nAnswer: -0.0474610607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 857177085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -423270000 rounded to the nearest one million?\nAnswer: -423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653 a factor of 228272688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 60.024. Let q = 0.104 + u. Round q to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.94. Let a = f + -0.74. Let q = -55922 - -55925. Sort a, 2, q in decreasing order.\nAnswer: q, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36627397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - y**2 + 30 - 2*y**2 - 30.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68424259933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:52 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/((-176)\/72) - -8227 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w + 4. Suppose -5 = -d, -3*s + w*d + 22 = -s. Suppose 1 = i - s. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (3 - 12) - (0 - 1)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 36463\nAnswer: 4\/36463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - 347. Let p(z) be the third derivative of -5*z**4\/24 + 1996*z**2. Calculate y(p(t)).\nAnswer: 125*t**2 - 347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = r - 32, -2 + 0 = -r. Let u be (-16)\/h - 2\/(-6). Let f = 3 - 1. Solve -5*y + u = -f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/((l\/((l\/(l*(l*l*l\/(l*l\/((l\/l**(2\/9)*l)\/l)*l)*l*l)\/l))\/l))\/l))\/l)**(-47)*(l**(-3\/7)*l)**4)**(-3) assuming l is positive.\nAnswer: l**(-5408\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okhhz. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 209*n + 271*n - 126*n)*(-2 + 2 + n**2).\nAnswer: -64*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (220\/(-176))\/(119\/8). Which is bigger: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 59970 and 1410376.\nAnswer: 1470346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/(-24)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 130*d**2 + 199*d + 1080. Let v be t(-42). Suppose 5*p = -5*m - 1110, -107 - 109 = p - 5*m. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 854?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18\/15*5*(-71)\/213\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -13, 192\/7, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -19 = 1340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 3*t - 3*t + (-5*t**5 + 0*t**5 + 3*t**5)*(-5 + 5 - 1) + (98*t - 36*t + 56*t)*(t**4 + t**2 - t**2).\nAnswer: 119*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8403 by 5009.\nAnswer: 8403\/5009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13410000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 2376.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/540*44)\/(1\/5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k + 5*k - 3*k)*(-1234 + 1234 + 12*k).\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -12*y - a - 3, 0 = 2*y - 5*a - 15. Solve -3*m + y - 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 14 + 0)*(-4 + 1 + 4)*(-o + 4 + 31 - 8)*(-4 - 7 + 4).\nAnswer: 77*o - 2079","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3338456743083 + -2.\nAnswer: 3338456743081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447 + 1233 = -140*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 6)*((-63)\/(-14))\/3. Solve -10*i + z = 36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2. Suppose -57 - 3 = -10*t. Let w(x) = 11*x**2 - 2 + t*x**2 + 2. Calculate w(j(d)).\nAnswer: 153*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1457, -5\/2, -1\/12, -3\/5 in ascending order.\nAnswer: -5\/2, -3\/5, -1\/8, -1\/12, 1457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -55, 36, 2372?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2*d - 2 + 2)*(-3 - 8 - 2).\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 36 = -2*m. Suppose 42 = 10*y + m. Solve y*n = 5*h + 2, 5*n = -2*h - h + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/144446 and 27\/16?\nAnswer: 1155568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 9757648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 32*g - 13 = 4*t, 0 = 4*t + 6*g - 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 356516?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(1500\/(-40))*3\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42448649 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 28*d + 10. Let v(r) = 9*r + 3. Let t(h) = 3*c(h) - 10*v(h). Let k = 16043 + -16045. Give t(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwnnggnfwwngg. What is prob of picking 1 w and 1 n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*8739\/216*(0 - 6). Let a = -1188 - o. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1967819347 and 0.06.\nAnswer: 1967819347.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 18. Let u be n(-4). What is the first derivative of u + 1942*i - 54*i**4 - 1942*i wrt i?\nAnswer: -216*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 10, t: 2, c: 1, p: 1, o: 2}. What is prob of picking 1 m and 1 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 962\/791 - 686123\/469854. What is the common denominator of -19\/216 and z?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 416 + -244. Suppose 452 = 4*v + n. Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from tvtvvvvvvvvvttvt.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1876*v = -1864*v + 420 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.027 + 0.027. Let m = 49 + k. Let h = -0.1 - -0.2. Is h > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 6*g + 8. Determine y(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:23 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - b - 1. Let g(w) = w**2 + w. Let l = -1 - -2. Let k = -146294 + 146295. Give k*g(o) + l*q(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286210631.\nAnswer: 7, 31, 1318943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11276455 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.4224 milligrams in tonnes?\nAnswer: 0.0000008684224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + v**2 - 7*v**2 + 4*v**2 + 0*v**2 - 2*v**2 + 0*v + 0*v + v**2 + (0 - 3 + 2)*(-v**2 + v - v) + (0 - 2*v + 0)*(4*v - 5*v + 0*v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from iiiiwwiwiiwiw.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -43680851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20335 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000269901406 to 7 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21683?\nAnswer: 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(425) + 3 - sqrt(17)))**2 + sqrt(1088) + -2 + sqrt(1088).\nAnswer: 34*sqrt(17) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/626254331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.9 - -11.1. Let n = i + -102. Let b = 84.0102 + n. What is b rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(320) + sqrt(5) + (sqrt(5) - (sqrt(20)\/sqrt(4) + -3)) - (sqrt(605) + 1 + sqrt(605) + sqrt(135)\/sqrt(3))*-4)**2.\nAnswer: 1530*sqrt(5) + 36206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 19 = -j, 0 = 2*l - 0*l - 171*j + 167*j + 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3110\/1866)\/((-40)\/(-126))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3*i**2 - 3*i - 5. Calculate b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 7955*b + 7960 = 0.\nAnswer: -1592, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 3, x: 9, m: 2, l: 1, z: 1, p: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 8) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*r + 95*r - 480. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3249078556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 + 47*o**2 - 16*o - 11. Determine j(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5211 and -15.\nAnswer: -5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**6\/15 + 7*r**5\/60 - 7*r**3\/6 - 33*r**2 - 2. Let p(h) = -6*h**3 + 2 - h**3 - 6*h**2 + 0*h**3 + 4. Give -6*c(a) - 7*p(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 30. Suppose -7*t + 4*t = v - 19, 4*v = t - 15. Calculate the remainder when w is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 9*j**4 + 0*j**2 - j**2 - 8*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 589565701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (2 + (-3 - (3 - 5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - (18 + -6)) + (-2 - -9). Solve 0 = 5*q + w*g - 9, -5*g - 18 = 2*q - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18615 is divided by 2289.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -96. Let b = 268 - q. Suppose 2*o + 4 = 0, -6*f + f + 4*o = -b. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -g + 12 - 16, 64*g = 78*g - m + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**2 + 104*g**2 - 54*g**2 + 18*g.\nAnswer: 5*g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101 + -10011010011101000?\nAnswer: -10011011000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/(-47)*14*(-3)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + g + 0*g = 53, 5*g = -v + 37. Suppose -3*w + v = -0. Calculate the greatest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(3\/5)\/t))\/t)\/t**(-5\/6)*(t**1)**(-4\/17)*(t**(1\/2)\/t*t*t**(-2))\/(t**(-2)*t\/(t\/t**2)) assuming t is positive.\nAnswer: t**(-128\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/((-64)\/56)*-17. Suppose 54*o = 47*o + v. Calculate the remainder when (-4)\/(-8) - 186\/(-4) is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:33 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxee. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222 + -6 + -124 + -65?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6656*v**2 + 2726*v**2 + 2735*v**2 - 12100*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 4. Let n = -954 - -952. Let k(a) = 2*a + 7. Determine n*k(y) - 5*s(y).\nAnswer: y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135089164.0002774 - -135088947. Let l = -217 - p. What is l rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7 - 8 + 59*z**2 - 5*z + 36. Is k(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 - 2 - 9 - ((-20 - 25) + 42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -219, -161, -77, 21, 121, 211, 279?\n\"Answer: -2*s**3 + 25*s**2 - 3*s - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.376 and -0.03.\nAnswer: 0.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*n + 15*n - 39*n)*(1 - 1 + n)*(-5 - 1 + 4)*(0 - 2 + 1) in the form c*n**2 + y*n + z and give c.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 10 - 15. Let n(x) = -x - x + x + v. Calculate n(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -732*y + 62. Let s(x) = -2*x - 2. Let k(h) = i(h) + 8*s(h). What is the derivative of k(j) wrt j?\nAnswer: -748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0 - (3 + -5). Suppose h + 9 = 2*h. Let n be (-2)\/(-4) + h\/6. Solve -3*m - n = -s*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 + 3)) + (10 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (((sqrt(2448)*1 - sqrt(2448))*-5 + sqrt(2448) - sqrt(2448)) + -2 - (sqrt(2448) - (sqrt(2448)*-1 - sqrt(2448))*5)*-2)**2).\nAnswer: -5280*sqrt(17) + 5924195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15924 and 53\/18578.\nAnswer: 111468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2550809 or 12754043\/5?\nAnswer: 2550809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340898 is divided by 1072.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 3105?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/6, 474718895 in increasing order.\nAnswer: 1\/6, 5, 474718895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Suppose 4*h - 5*j = -12, d*j + 1 = -h + 11. Suppose 0*k - 11 = -z + 2*k, -h*z - k = 3. Is z less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.5 times 8942\nAnswer: -1265293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -320.178169318254 - 4\nAnswer: -324.178169318254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*w - 221 = -t, 0 = -t - 5*w + 191. Suppose 40 = -v + t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -848981 + 849138.9773. Let a = f + -158. Round a to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 381 and -530963.044859?\nAnswer: 531344.044859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5913, -11875, -17837, -23799?\n\"Answer: -5962*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + 32. What is the remainder when 234 is divided by d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/18 in 1\/8, -0.4, -1178?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.151 in 8, 0, -208?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0*c + c**3 - 4 + 5*c**2 + 3*c + 0*c**3. Give x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -12*c - 7\/6*c**4 + 0*c**3 + 0 - 8*c**2. Differentiate k(n) wrt n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 2, c: 3, p: 2, g: 4, b: 2}. What is prob of sequence fcg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**2 - 1. Let c be o(-2). Suppose 20 = l - 2*f + c*f, 71 = 4*l + 5*f. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 2. Let f(l) = 4*l**3 - 354 + 352 - 6*l - 3*l**2 - 5*l**3. What is the tens digit of f(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**3 - 19*z**2 - 17*z - 34. Let h(u) = 3*u + 5*u**2 + u**3 + 0*u + 0*u**2 + 6 - 2*u**2. Let w(m) = 34*h(m) + 6*o(m). Factor w(f).\nAnswer: 4*f**2*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 14*b - 10. What is the third derivative of -17*w**b - 45*w - 41*w - w**2 + 86*w wrt w?\nAnswer: -1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**3\/6 - 2*f. Let y be b(0). Which is greater: y or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(50)\/sqrt(490) + -2.\nAnswer: -1 + sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 45\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 10*y**2 - 14*y - 34. Let j = 105 + -115. List the prime factors of w(j).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 + a + 4. Let m be y(4). Suppose 3*c - 47 = -2*w, 0*c + 5*w - m = -4*c. Suppose 0 = c*p - 9*p. Is -1\/4 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-1 - 12) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25608 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Let v = -5 + 1. Let b(j) = j**3 + 3*j**2 - 3*j + 4. Let o be b(v). Solve o = 2*p - t*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 179.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -576464 - 5?\nAnswer: -576470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1017 and -35\/429626.\nAnswer: 3866634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - v - 132, 4*n - v = 3*n + 44. Calculate the highest common divisor of n and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(1\/9))\/o))\/(o\/o**4)*(o\/o**(-1))**(-23\/5) assuming o is positive.\nAnswer: o**(-239\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6)\/(-18))\/(5\/11430)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -21*p**2 - 1. Let c(k) = 2*k**2. Determine f(c(x)).\nAnswer: -84*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2465.99859 - -2466. What is l rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66161 less than -66166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03675445 to 5 dps.\nAnswer: -0.03675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-4)*(-120)\/(-75). Solve -q + p = -0*q - 4*j, -2*j + 2 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9385547 is divided by 182.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 11) + (-172 - -184) - (32 - -25)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203 (base 4) in base 6?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**5 + 15*h**4 + 10*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = 4*v + 2, -5*w + 2 = -4*v. Suppose g = -0 + 1. Let f(p) = 2*p + p - g - 2*p. Let o(z) = 2*z - 2. Determine w*f(j) + 2*o(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 11*h**2 + 10*h + 3. Let q be ((-30)\/25)\/(3\/(-25)). Let g be s(q). Factor -3*a**2 - 4*a**2 + 0*a**g + 10*a**3 + 2*a**2 - 5*a**4.\nAnswer: -5*a**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Suppose -b = -v + 4. Calculate the least common multiple of v and (-2)\/(-5) + 28\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:05 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + 1 + -10. Let z = 30 + q. What is the highest common divisor of 176 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -2\/13, -22, 1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (139*-1712)\/8 + 8. Let y = -17851 - f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-638)\/7 + (-5)\/(-35). Let i = p - -53. Let w = -38 - i. Which is smaller: w or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u + 27*u = 0. Suppose u = 31*i - 22*i - 18. Solve 5*z - i*b - 17 = 0, -z = -2*z - b + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134 or 4090?\nAnswer: 4090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48a (base 13) to base 7\nAnswer: -2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 + 121. What is the units digit of 5\/(10\/(-873))*t\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-112) + 1*2\/(-7). Let v = -2324 - -32521\/14. Is c greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s + 144. Calculate l(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6\/(-10))*142\/426\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 540565637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 10) to base 5\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from ttasstt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -79*l**2\/2 + 162*l - 10432. Calculate r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*m - 3*f, -12*f + 7*f = 4*m - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**3 + 3*v + 5. Let r(l) = 10*l**3 - 4*l - 6. Suppose -2*a - 2*k + 48 = 0, k = -3 + 7. Let x be (a\/(-8))\/(-2 - 6\/(-4)). Calculate x*r(i) + 6*p(i).\nAnswer: -4*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714774, -714771, -714766, -714759?\nAnswer: -714750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m + 16. Suppose -m*n = n - 65. Suppose 4*i - 3*x = 88, -109 = -5*i + 4*x - 0*x. Calculate the remainder when i is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3136 - 2344?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -92. What is the remainder when 2\/((-2)\/(-88)*2) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -121?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + (sqrt(68) + -2*sqrt(68))*1 + sqrt(68))\/(2*(sqrt(4) + sqrt(4) + sqrt(12)\/sqrt(3))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227652739*d**3 - 1883386*d + 45 wrt d?\nAnswer: 1365916434*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**3 + 0*q**2 - 1\/12*q**4 - 5*q + 2\/21*q**7 - 1\/5*q**5 + 1\/30*q**6 + 0. Factor c(o).\nAnswer: o**2*(o - 1)*(o + 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22476 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 + -392. Let t(s) = 3*s + 7. Let f(u) = 2*u + 3. Calculate v*f(z) - 2*t(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6461 and 188734.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 1. Let u be (-4)\/w + 92\/(-28). Sort u, -4, 2 in decreasing order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 71 - 15 = 0. Is (1 + 3)*s\/8 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + -4 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/((-19)\/((-1235)\/26)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 2*o**3 - 2*o**4 + (4 - o - 4)*(-2*o**3 - 2*o**3 + 3*o**3).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.13 or -100\/67501?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*j - 77, 19 - 17 = 5*j + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.819 rounded to 0 decimal places?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1258 + -53258. What is s rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 29*t - 17. Suppose 5*k + 70 = 5*y, -4*k - 6 = -k. Is s(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71787.\nAnswer: 3, 23929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0119 + -2.9119. Which is the biggest value? (a) k (b) -1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 4029*b**2 + 3*b - 1677*b**2 + 6081*b**2.\nAnswer: 8433*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*o**4 - 3*o**3 - 83*o - 108632 with respect to o.\nAnswer: -312*o**3 - 9*o**2 - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 226988 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -655*n**2. Let p(k) = 16*k + 2. What is p(l(z))?\nAnswer: -10480*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*n + 15*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 0, -2*a + 7*a - 158 = 4*u. Suppose 4 - a = -5*c. Let h(b) = 3*b**2 - 6*b - 6. Let m be h(6). Calculate the highest common factor of c and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/245)\/(18\/105))\/(81\/(-243)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199943044.\nAnswer: 2, 7, 7140823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 18. Give h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + 15?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416430 = -93*f + 417639 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 5, c: 2, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/2 + 1968*h**2 + 2118312*h + 348942400 = 0.\nAnswer: -1868, -200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 280849759 a multiple of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 185642101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46857196, -46857200, -46857206, -46857214, -46857224?\n\"Answer: -i**2 - i - 46857194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(38)*-3)\/sqrt(2))**2 - (sqrt(475) - (sqrt(475) + -2))).\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12175627 and 75475.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 6*t + 0*t)*(-25*t + 45 + 16*t + 13*t) + (-4*t + t - 4*t)*(0 + t + 0).\nAnswer: -15*t**2 - 90*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1864002, 1865266, 1866528, 1867788, 1869046, 1870302?\nAnswer: 1871556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h - 1249 - 159 - 792 = 0 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76652, 77139, 77626, 78113?\n\"Answer: 487*d + 76165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/26 - (-3264)\/416. Let j = t + -8. Solve -3*b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715338241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -39, -82, -159, -282?\n\"Answer: -2*j**3 + j**2 - 10*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16133 is divided by 16090.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -149\/20295 > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/9900*120*185\/(-2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.03 - 0.03. Let g = 8 - k. Which is the nearest to g? (a) 1 (b) 3\/2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83 + 83 - 11*f)*(-5 + 2 + 1) as s*f + u and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5750628.\nAnswer: 2, 3, 13, 191, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.2, 1\/6, -1\/4, -0.11735?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 117534206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from yyjcybbcy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.13 - 40.12993632. What is y rounded to 6 dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.131 * -1351.\nAnswer: 176.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -28. Let u = 50 + -63. Let y = u - q. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 4*n. Let i(s) = -2*s + 1. Let f be i(2). Let k be u(f). Let l = k - 0. Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9213.\nAnswer: 3, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70 + 32?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**3\/6 - i**2\/2 + 18*i. Is o(-12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + 2*l - 4. Suppose s = -s - 6. Let o(k) = 4*k**2 - 3*k + 5. Let u(g) = s*v(g) - 2*o(g). What is u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 greater than -3157\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1181\/204 + -23\/4. Let m = x - -247\/204. Which is the smallest value? (a) 1 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2229*p**3 - 4449*p**3 + 2222*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 4. Let d be w(-4). Let m(f) = -13*f + 124. Let i be m(8). Suppose -d*r + 40 + i = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1480 = -2*j, 32*p - 2959 = 28*p - 5*j. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16977 and 24.\nAnswer: 135816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*p + 2, -11*a = -p - 7*a - 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/1863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k**5 + 3680*k**4 - 1844*k**4 - 10*k**5 + 4*k**3 + 7480*k**2 - 1824*k**4 wrt k?\nAnswer: -120*k**2 + 288*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = -35*u - 60 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:54 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 656689*d**2\/2 + 2626753*d\/4 - 328344.\nAnswer: (d - 1313376)*(d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8679.17219 rounded to zero dps?\nAnswer: 8679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 6. Suppose -41*o - 2*b = -37*o - 36, -2*o - 5*b + 34 = 0. Let t(r) = -4*r**2 - r + 19. Determine o*s(a) - 2*t(a).\nAnswer: a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183 + 4*y - 271 - 154 + 2*y**2 to the form b + t*y + n*y**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715507378 to the nearest integer?\nAnswer: 26749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10892\/5 + 2178. Which is the nearest to -0.2? (a) -0.3 (b) 40 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*m + 18 = 0, v + 37 = 6*v + 2*m. Calculate the remainder when 34 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8146, -16898, -25650, -34402?\n\"Answer: -8752*f + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 1 in ascending order.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54023, -54014, -54005?\nAnswer: -53996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 + y + 7. Let r be i(-7). Suppose 0 = -s + 11*s - 10. Is s < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/3 - 14*q**4\/3 + 24*q**3 - 176*q**2\/3 + 208*q\/3 - 32 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-360)\/(-27) + (-2)\/6)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n**3 + 14*n**3 + 26*n - 26*n.\nAnswer: -92*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -543 + 704. Find the third derivative of 173*d**4 - h*d**4 + d**3 + 44*d**2 + 16*d**2 wrt d.\nAnswer: 288*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1617*m**2 + 1622*m**2 + 1635*m**2 + 1662*m**2 - 6539*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -428 * -2.9\nAnswer: 1241.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/84*((-16)\/6)\/(-4)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 2*g**2 - 4*g + 4. Let b(u) = -u + 1. Let x be (24\/(-8))\/((60\/8)\/(-5)). What is x*o(a) + 7*b(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -11. Let z = 1 - g. Is -0.1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*i - 4*p, p = -4*p + 5. Let k(f) = 4*f + 1. Let c(t) = -9*t - 3. Let l(o) = 2*c(o) + 5*k(o). What is the remainder when 16 is divided by l(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2536, 1734, -698, -5654, -14028, -26714?\nAnswer: -44606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 517880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-8)\/14)\/((-30)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**41\/(v**2*v)**(-5\/2) assuming v is positive.\nAnswer: v**(261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -26*a + 13. Let y = 9733 - 9732. Calculate t(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 33. Let c be n(-9). Let p(d) = -13*d + 31. Let x be p(c). Let a(w) = 37*w**2 + 14*w + 61. Is a(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125872444.\nAnswer: 2, 761, 41351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212210210 - -20020?\nAnswer: -212120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9992296 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 860 - -844. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-72)\/28 - -3)*3. Suppose g*h - h = 84. What is the smallest common multiple of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110745?\nAnswer: 3, 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929610?\nAnswer: 2, 3, 5, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/((f*f\/(f\/(f\/(f\/f**(-2\/9))))*f)\/f)))\/f*f*f**(-1\/6)*(f**(-1\/3))**12 assuming f is positive.\nAnswer: f**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673.649 + -674. Let t = g - -0.051. Let b = -25\/2 + 13. Sort t, -1\/4, b in increasing order.\nAnswer: t, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2934.9 years to millennia.\nAnswer: 2.9349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 243*d - 6. Let u(t) = -3*t - 1. Give -p(w) + 6*u(w).\nAnswer: -4*w**2 + 225*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a**(7\/4)*a)\/a*a)*a*a\/(a*a\/(a\/a**(-3)))*a**(-6)*(a\/(a\/((a*a\/((a*a*a**(-5)\/a*a)\/a*a)*a)\/a)))\/a assuming a is positive.\nAnswer: a**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172145 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrrvrprrrpp. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 633 = 16*s. List the prime factors of s.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192\/1343 + -2\/79. Let f = -18 + 18.3. Let m = 4.7 + f. What is the nearest to -0.1 in m, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277805989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10771*b**2. Let a(l) = 6001*l. What is a(f(h))?\nAnswer: -64636771*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1241 - -5799. Suppose -19*w - u = -41*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/3 + 340*g**3\/3 - 3215*g**2\/3 - 11830*g\/3 + 37240 = 0. What is g?\nAnswer: -76, -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 + -2?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3*(-3 + 0). Solve -13 = -3*j - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -28 + 36 + 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x**2 - 20*x + 16. Let d(r) = -3*r**2 - 3*r + 1. Determine -6*d(t) + y(t).\nAnswer: t**2 - 2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 12:59 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.038474 rounded to 2 decimal places?\nAnswer: -13.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1688 - 89.\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182123 - 33*s + 181924 - 364050.\nAnswer: -33*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 533 + 598 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skmmsmsctmss. What is prob of picking 1 k and 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 3 = 4*b, -5*o + 5*b + 15 = 0. Suppose -g - 48 = -n - o*g, -g = 3*n - 159. Let i = 473 - n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 495.9 - 526. Round i to 0 dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 7*o - 11. Suppose 3*w + 5 = l, 2*l = -5*w + 28 - 7. Let r be j(l). Which is the smallest value? (a) 1\/7 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 194. Sort -1.2, r, -4, -0.2, 0.5 in decreasing order.\nAnswer: 0.5, r, -0.2, -1.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(-13\/3)\/(t**7\/(t\/t**(-9))) assuming t is positive.\nAnswer: t**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.85 + -11.31. Let q = y + -42.3. What is q rounded to 1 decimal place?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589527 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 927 = 3*y, 47 = -y + 2*j + 363. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6 + (57\/2 - 5610\/3060)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15, 0 = 3*b + 3*o - 3 - 3. Which is smaller: b or -19\/5?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 + -193. Let t = 46 - 33. Find the second derivative of -36*j + 15*j + 8*j - t*j**i wrt j.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u - w + 5, 5*w - 1 = u. Which is the nearest to 0.2? (a) -0.2 (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 72937 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-20)*20\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.3 (b) 102 (c) 34.9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + p = 5*a + 16, -p = -2*a - 10. Let c(o) = 5*o + 18. Let h be c(a). Suppose h*q - 6*q + 346 = u, -2*q + 5*u + 242 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8546667.\nAnswer: 3, 37, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*w + 98, -8*t + 5*t = w - 70. Calculate the highest common factor of t and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6633 divided by 2\nAnswer: -6633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-96)\/64 + ((-22)\/4)\/(-1). Suppose 0 = -m*h - h + 1410. Is 35 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 29 - 17 + 22 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**6\/11 - 178*c**5\/55 + 272*c**4\/11 + 1192*c**3\/11 + 128*c**2\/11 - 2048*c\/11 + 944. Let b(q) = 0. What is q?\nAnswer: -2, -1, 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1844 - -2631. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1109792 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-572 + 136 + 293)*(-6 + 6 + 2*k) as j + v*k and give v.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l**5 + 0*l**4 + 0*l + 3*l**2 + 0 - 1\/60*l**6 + 3\/2*l**3. Differentiate v(d) with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-6)\/4)\/(-8 - -6). What is the closest to 0 in b, -4, -5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24677636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:24 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**2 - 3*i + 3. Let g be -1*6\/(-9)*(24 + -30). Let l(o) = -10*o**2 + 4*o - 4. Determine g*s(y) - 3*l(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30830354099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 16*l**4\/7 + 25184764*l**3\/7 + 119627364*l**2\/7 + 151108164*l\/7 + 56665548\/7 = 0.\nAnswer: -1574043, -3, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 3*p = -18*p. Put 5, 7, -2, p in descending order.\nAnswer: 7, 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-2)\/(-12))\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/3760479 and 109\/183438.\nAnswer: 7520958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1161*r + 41 + 1 + 3480*r - 1160*r - 1160*r to x*r + q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/233661911 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12901*d*h - 521*d*k + 3*d + 2*h*k**2 - 53*h*k - 136*h - 25*k**2 wrt k.\nAnswer: -521*d + 4*h*k - 53*h - 50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6*q + 396 = -15*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1185741*f**2*p**2 + 515975*f**2*p + 11*f*p - 2*p**3 wrt p?\nAnswer: 2371482*f**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-21)*a)\/a)\/a**19*(a**(-3\/29))**(-1\/37) assuming a is positive.\nAnswer: a**(-41844\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 812*a**2 + 6268*a - 5460.\nAnswer: 4*(a - 195)*(a - 7)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3469, -13898, -31283, -55624, -86921?\nAnswer: -125174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305998 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14\/(h*h*h*h**(-2\/9)*h*h*h))**(-12) assuming h is positive.\nAnswer: h**(-296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1885\/15 - -1*1\/3. Let i = h - 251\/2. Which is the fourth biggest value? (a) 2\/5 (b) i (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21. Is o bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.54917 and -177.\nAnswer: -184.54917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) + sqrt(171) + (sqrt(171) - -3*(sqrt(171) + (2*sqrt(171) - sqrt(171)))))\/(-1*sqrt(729))*-6)**2 + 2.\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:02 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -537*i + 2023. Determine s(4).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 0*n**2 + 0*n**2 + 2*n - 2*n - 2*n**2 + (-n**2 + 3*n**2 - 3*n**2)*(2 - 2 - 1).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**6\/30 + x**5\/10 + 379*x**4\/12 - 190*x**3\/3 - 4137*x. Factor c(d).\nAnswer: -d*(d - 20)*(d - 1)*(d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/9)*m*m\/m**(-1\/7) assuming m is positive.\nAnswer: m**(121\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:51 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1091 < -6547\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131170 - -3304?\nAnswer: -126765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*1 + 2 + -4)**2 + 5.\nAnswer: -44*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7078*k + 2 + 1 + 3542*k - 3 + 3537*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -524460*b + 3*b**2 + b**2 + 524471*b - b**3 - 9 - b**2. Give i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42\/11? (a) -1\/4 (b) 2\/9 (c) 3\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58717.46 years in months?\nAnswer: 704609.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -790138.\nAnswer: 2\/395069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 857 - 0.01.\nAnswer: 856.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/28*6)\/(6\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {v: 1, o: 1, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 1, g: 2, x: 2, r: 3, s: 1, m: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**2. Let t(o) = -29*o. What is t(z(p))?\nAnswer: 232*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399890645 to the power of 1\/3, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -18633*d + 37273. Calculate h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -2\/5 (c) 0.05 (d) -531 (e) -0.37 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-39 + 1 - (-630 - -646)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.65 in 0.15, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(3\/2))**46 assuming g is positive.\nAnswer: g**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -893870312 at least as big as -893870311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*l + 11 - 9 - 2 + 502*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - y - 3 - 2*y**2 - y**2 - 35*y**2 - 18*y**2 + (3*y - 5 + 5)*(-y - 3*y + 0*y) + (0*y - y + 0*y)*(-4*y + 3*y + 0*y) to q + d*y**2 + v*y and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14158731, -14158730, -14158729, -14158728, -14158727, -14158726?\nAnswer: -14158725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (645\/25 - 3) + -23?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362, 1457, 3278, 5819, 9074, 13037, 17702?\nAnswer: 23063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 7751.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 6*l**3 + 3*l - 5*l as m + y*l + v*l**2 + z*l**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**3\/3 + 1340. Let q(l) be the third derivative of -l**5\/30 + 4*l**3\/3 - 13*l**2. Calculate q(v(m)).\nAnswer: -2*m**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 333 + 255. Let n be 35\/2*12\/10. Calculate the greatest common factor of n and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in -0.05, 114758, 1\/8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 60. Put -5, 5, l, 11 in descending order.\nAnswer: 11, 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 14, 0.213816, 3?\nAnswer: 0.213816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 23. Let c = v - 15. Sort -1\/7, 1, c.\nAnswer: c, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -5, 12, -804, -2, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v + 3*v - 6480. Is 18 a factor of 1 + v - (0 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1254 + -1252. Solve 4 = 2*w - o*g, 21*w - 24 = 17*w - 4*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 1)*(-3 + 0 + 5) + 4 - 4 - 1)*(-193*w**2 + 374*w - 178*w - 195*w + 11) to the form s*w + h*w**2 + q and give h.\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**3\/3 - 13*o**2\/2 - 7*o + 72. Give b(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15532.101ns to days.\nAnswer: 0.0000000001797696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 1. Suppose -3 = 5*d + 2. Let f(l) be the third derivative of 1\/15*l**5 + 0 - 2\/3*l**3 + 0*l - 1\/24*l**4 + l**2. Calculate d*f(x) - 6*v(x).\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3777 in 1, -4\/7, -0.5, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10*f + 259 = 5*f, 3*f = -d + 299. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 15 = -5*r, -4*r + 16 = 2*r + 18*r + 2*r - 22*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133853442 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.078 + -11.922. Which is smaller: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 258392 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 + 0 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/5 - 18*w**3\/5 - 39*w**2\/5 - 36*w\/5 - 12\/5.\nAnswer: -3*(w + 1)**2*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1867 is divided by 728.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 106*i**2 + 12*i**2 + 72*i**2 to the form r + d*i + u*i**2 and give u.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*y + 15, -6*y + 3*y - i = -20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -22730\/513 and -45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2378491 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 8*x)*(0*x - 2*x + x) + 6*x**2 + 0*x**2 - 4 - 5*x**2.\nAnswer: -3*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4368693\/(-63) + 11)*(-3345)\/4. Round r to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 999*z**3 + 273492*z**2 - 11902140*z + 105148368.\nAnswer: (z - 474)**2*(z - 39)*(z - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 785597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*c**5 + 63*c**4 + 51*c**3 + 9*c**2 = 0. Calculate c.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63512486, -127025003, -190537522, -254050043, -317562566?\n\"Answer: -l**2 - 63512514*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 3*r**5 - r**5 + (4*r**3 + 3*r**3 - r**3)*(-4*r**2 + 4*r**2 - 3*r**2).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115811538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2096905, 2096902, 2096895, 2096884, 2096869?\nAnswer: 2096850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 27*i - 1 - 122*i + 1. Let p be b(4). Round p to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose -v - h*v = 0. Suppose 0*u = 5*s + 2*u - 80, -4*s + 3*u + 87 = v. What is the highest common factor of 162 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 4:51 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-20)*-1*(-360)\/(-432). Let x(t) be the second derivative of 0*t**3 + 0 + 7\/120*t**6 + l*t**4 - 5*t + 0*t**2 + 1\/5*t**5. Solve x(v) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702695 is divided by 351.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2. Let r be (2 + (1 - -47))\/(2\/3). Let q = -82 + r. Let v(b) = 3*b**2. Let i(n) = q*v(n) + 2*s(n). Give i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -300, -545, -770, -969?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, 4, -4, -2, 3 in decreasing order.\nAnswer: 208, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 110 - 355 - 2*f**3 - 107 + 118 + 123.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92130359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4\/4 - 5*v**3 + 15*v**2\/2 - 16*v - 51. Let g be u(14). Sort 65, 3, g in increasing order.\nAnswer: g, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69009483 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640507 + 6603*d**3 - 640507.\nAnswer: 6603*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 3*a - 11. Let s(u) = -4*u**2 + 4*u - 11. Let h(d) = 5*b(d) - 4*s(d). Is h(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3340754 millilitres in litres?\nAnswer: 0.0003340754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -85.6 and 90?\nAnswer: 175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 2*t + 1. Let a be u(1). Let b(n) be the third derivative of -n**4\/24 - 5*n**3\/6 - 15*n**2. Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 54\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 376 and 67492?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.101, -5 in descending order.\nAnswer: 3\/7, 0.101, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212893714?\nAnswer: 2, 11, 9676987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2 + -1 + 77. Let y = 12 + j. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.1 + 28. Let r = -7 + 6.2. Let v = 0.2 - r. Sort v, g, 2.\nAnswer: g, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/106710 and 1\/180.\nAnswer: 640260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-15))\/(15\/1350*4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, c: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+-61522.50572\nAnswer: -61522.52572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20290 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/14 + (-12)\/42. Let c = -192 - -204. Sort y, 0, c in descending order.\nAnswer: c, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(1\/33)\/((j*j**(-11)*j)\/((j*j**(-2\/11))\/j)) assuming j is positive.\nAnswer: j**(293\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*u = 0, 0*u = 5*v - u. Suppose -10 = -3*w + 2*j - 4*j, 4*w - j - 6 = v. What is the second derivative of 3*r**w + 2*r - 3*r + 4*r wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 18. Let y = -263\/3 - -88. Let q = 4 - 9\/2. What is the closest to c in 2\/5, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867491 is divided by 466532?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 872?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -18*t - 29. Let l(p) = -9*p - 15. Suppose y = 2, -4 = -2*z + 4*y - 2*y. Let x(v) = z*c(v) - 7*l(v). What is the first derivative of x(s) wrt s?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1 + (-4)\/3)*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 799 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2425278 divided by 7.\nAnswer: -2425278\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315056 divided by 7.\nAnswer: 45008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 less than 68?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36436 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f)**0\/(f**(-1\/3)\/f)**(-1\/7) assuming f is positive.\nAnswer: f**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-6) - (-817)\/516.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.03 + -1.03. Let l = -142884.29912 + 142830.3. Let j = o + l. Round j to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/8847 and -17\/74.\nAnswer: 654678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 - b**2. Let y be c(-1). Let d = -2\/191 - -1347\/955. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11390, 22780, 34170, 45560, 56950?\nAnswer: 68340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*j - 93*j - 13 + 223*j - 9.\nAnswer: j - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 755 divide 1547750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let w(u) = -4*u. Calculate p(w(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-58)\/(-24) - 2)*27\/90*3. Which is the biggest value? (a) -4 (b) 2 (c) i (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 1:55 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 0.21. Which is the second smallest value? (a) 0.2 (b) -4 (c) o (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/35? (a) 92 (b) -0.5 (c) 352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5672 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1372\/139 - 9413153\/953679. Sort 1, a, 5 in decreasing order.\nAnswer: 5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*(-54)\/504*16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 290*o = 294*o - 94, -2*k - 44 = -5*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 20 = -4*t. Let d be 4 + (t + 0 - (7 + -7)). Solve 0 - 18\/7*u**d - 10\/7*u**4 - 2*u**2 - 2\/7*u**5 - 4\/7*u = 0 for u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*c = 9, 5*g + 2*c + 2*c = -33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -26*f + 49*f - 22*f. Let t(n) = -n**2 - 5*n + 2. Determine t(b) + 5*z(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p + 4*p**3 + 2 - p**2 + 2*p**2 + 2454*p**4 - 2449*p**4 - 3*p**2 - 2*p**3 as g*p**4 + o*p + l + w*p**2 + j*p**3 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 8*v. Let p(y) = -3*y - 2*y + y + v*y + 8. Let a be p(-3). What is the greatest common factor of 35 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 169, 281, 415, 577?\n\"Answer: z**3 + 2*z**2 + 83*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 2\/7, -5, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.012 - -0.012. Let k = q - -22.89. Let y = k - -0.11. Which is the nearest to y? (a) -5\/4 (b) 1\/3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11 - 4\/11*z - 2\/11*z**2.\nAnswer: -2*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295 + 290. Let p(i) = -7*i**3 - 2*i**2 + 4*i - 18. Is p(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1922*a + 12 = 1919*a. What is the fourth smallest value in -5, -2\/11, a, -2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10467 = -6*c - 10487, 4*f - 5*c - 3 = -9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 46*l**2 + 55*l - 365. Determine v(45).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -507102373?\nAnswer: -507102377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*i - 20, -5*i - x + 25 = -4*x. Let p be (-2)\/((-120)\/72*(-2)\/10). Sort p, i, -3 in increasing order.\nAnswer: p, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27349.9 less than 0.209?\nAnswer: -27349.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 42*l**2 + 27. Let r be n(-42). Solve -26*c = -r*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 0.99. Suppose y + 29 - 26 = 0. Let j be (-148)\/(-20) + -4 + y. Which is the nearest to -1\/3? (a) j (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*k - 5*n - 14, -5*n - 31 = -3*k. Let z(j) = 9*j + 16. Let l be z(k). Suppose -9*f + 38 = -l. Is 23\/2 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3528, -3509, -3492, -3477, -3464, -3453?\n\"Answer: -l**2 + 22*l - 3549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k = -20*k - 828 - 726 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24133780 by 35860.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5494, -10269, -15056, -19861, -24690, -29549?\n\"Answer: -y**3 - 4768*y - 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtlrlkkrlnnltuu. Give prob of picking 1 u, 1 r, and 1 k.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djddj. Give prob of picking 3 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*o = -6558 + 276812 + 64258. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 at least as big as 4581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(-1*sqrt(14)*-4)\/sqrt(2))**2.\nAnswer: 32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence najw when four letters picked without replacement from nnnwnnnwjawaan.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*j + 0*j + 0*j)*(-2*j + 3*j + 2*j) to the form y*j**2 + b + x*j and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 416 + -406.95. Let z = 3 + -3.45. Let t = f + z. Round t to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -142, -38 in decreasing order.\nAnswer: 3, -38, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (366\/(-21) - -17)\/((-2)\/14 + (-36)\/(-126))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*c - 78 = 0, -2*c - 223 = -3*w - 3*c. Calculate the remainder when w is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-366)\/(-18))\/(3 - (-130)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (13 + -21 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 56, 91, 124, 155, 184?\n\"Answer: -l**2 + 40*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/135)\/((-2)\/(-40)). Solve -p - w = f, 0*p + 31 = -5*f - 2*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -253, -238, -225, -214, -205, -198?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29966516 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = 10*m - 352 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (39\/2)\/(84\/224). What is the third biggest value in -2\/19, 2\/19, w?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 + 10*w**2 - 7*w + 932. Let c(i) = 8*i**3 + 28*i**2 - 19*i + 2797. Calculate 4*c(k) - 11*u(k).\nAnswer: -k**3 + 2*k**2 + k + 936","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 937*k + 937*k as t*k + r*k**2 + i and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = y, -3*v + 4*y - 9 = 15*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 2*a**2 + 19*a + 1456. List the prime factors of x(0).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5404)\/(-386) - 3638\/285 - 6\/5?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -2993?\nAnswer: -598.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 + 51*v**3 + 54*v**2 = 0. What is v?\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**3 - 7*j**3 - 10*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5161 + 297 = 152*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -65*k + 280. Let p be x(4). Solve 26*i + p = 22*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 28. Let y be 1 - (-11 - -3 - g). Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114652?\nAnswer: 2, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 5*h + 2*h)*(1 + 4 - 3) - 2 - h + 2 - 4*h + h + h - h + h + 2*h + h - 2*h + 6*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -84533 and 625.797.\nAnswer: -83907.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 54. Let j be c(28). Solve -4*g + f = -f + 10, -2*g = -j*f + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4 + -6. Let s = 5.44 + -0.44. Sort s, i, -3.\nAnswer: -3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 77. Let a(p) be the third derivative of -3*p**2 - 1\/3*p**3 + 0*p**4 + l + 1\/30*p**5 + 0*p. Factor a(m).\nAnswer: 2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 - 27*n - 8. Suppose 21*q - 13*q = 32. Let s be t(q). Solve 0 = -2*w + 5*g + 10, 2*w + 5*g = -s - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/k*k**(4\/3)\/k)\/(k*k**(-5)*k*k\/k**0) assuming k is positive.\nAnswer: k**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -1 + 0*n**2 + 0*n + 1\/3*n**3. Let b(v) = -8*v + 18*v - 8*v. Calculate b(s(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.474221*-0.16\nAnswer: -0.07587536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-39 + 21) - -41?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-62) - ((-1)\/(-10))\/(70\/(-700))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8*q + 24. Let z(u) be the second derivative of -u**5\/20 - 5*u**4\/12 - u**3 - u**2\/2 - 4*u. Is 2 a factor of z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/11 and 45\/121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -15*h - 126. Let p(v) = -75*v - 627. Let b(a) = -24*k(a) + 5*p(a). Differentiate b(i) with respect to i.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3*p + 3*p)*(-2*p**4 + 6*p**4 - 2*p**4) + (-p**3 + p**3 - p**4)*(3*p - 3*p + p) + p**5 - 4*p**5 + 5*p**5.\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - h - 1. Let n be x(0). Which is smaller: n or -2\/123?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q. Let v(m) = -m**3 - 14*m**2 + m + 13. Let g be v(-14). Determine h(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (1848\/(-175))\/8. Let f(u) be the second derivative of 2\/15*u**3 + 0*u**2 - 11\/30*u**4 + 0 - 7\/75*u**6 + 2*u + l*u**5. Factor f(v).\nAnswer: -2*v*(v - 1)**2*(7*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -252, -420, -622, -864?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - 2*c**2)*(-2*c + 0 + 0) - 7*c**3 + 4*c**3 + 0*c**3 + (-5*c**3 + 2*c**3 + c**3)*(-1 + 1 - 2) + (-4 + 4 - 1)*(3*c**3 - c**3 - c**3).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = 2, 36 + 25 - 29 = -3*y + 5*q for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 8*l - 7. Let m be x(-7). What is the units digit of -18*1\/(-2) + m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -327, -736, -1299, -2010, -2863?\nAnswer: -3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnnrnnnmnrr. Give prob of picking 2 n.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 15 = -4*u + 3*u, -3*u = 15. Let a(i) = -i**3 + 5*i**2 + 7*i - 4. Let d be a(6). Let z(n) = 0*n**3 + n**3 + 4 + 0 + n - 5*n**d. Determine z(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381835 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53300 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -487 + 1050 + k + 1389 + 933 + 0*k as j*k + i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-8))\/((-314)\/23864). Let s(o) = 7*o - 4. What is s(r)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*y - 1760 = 1437 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10500 and 2016.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -20002?\nAnswer: -20004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 9. Suppose 2*h + 0*h = -24. Let b be w(h). Calculate the remainder when 36 is divided by -3 - (b - 2\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65799248?\nAnswer: 2, 17, 47, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3680999 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -aa7 (base 14) to base 10\nAnswer: -2107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*r = -39 - 4, 4*h - 44 = -4*r. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (27 - -13 - (20 - -1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 = -8.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 7.83. Which is the second smallest value? (a) -3 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5.4. Suppose -4*x + 0*x + 12 = 0. Let d(i) = i - 1. Let s be d(x). Put 3, s, l in descending order.\nAnswer: 3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 3 + 3 + 2*z**2 - 1. Let t(y) = -5*y**2 - 6. Let i(w) = 22*d(w) - 4*t(w). Differentiate i(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4. Let k(c) = c + 68. Let t(w) = 102*d(w) + 6*k(w). Let m(s) be the second derivative of -2*s**3\/3 - 4*s. Determine m(t(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 2. Suppose 2*i - 48 = -2*i. Let v = -21 + 30. Let s = i - v. Give b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*x + 2 = 0, d = -3*x + 2 + 2. Sort 5, d, 0 in ascending order.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + (-5 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.22 + -16. Let z = r - 0.09. Let n = 0.87 + z. What is the nearest to n in -1, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328826 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155352 (base 6) to base 16.\nAnswer: -3c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32395 divided by 31.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 1. Let m be 8\/12*4*-3. Calculate the remainder when s(m) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 - 11*t**3 + 1 - 17*t**2 + 6*t**2. Suppose -2*b - 5 = 3*b. Calculate x(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/4*v**3 + 0*v + 7\/4*v**4 + 0 - 1\/2*v**2 = 0. Calculate v.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 1:24 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6807 is divided by 6471?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 5)*2 + -1. Suppose o*p + 2*j - 37 - 16 = 0, -2*p - 5*j + 28 = 0. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1705582 + a?\nAnswer: -1705573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9 - 23 - 4*i**3 + 9 as h*i**2 + r*i + u*i**3 + p and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 13*h**2 + 115*h - 52. Calculate a(-19).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 15*y - 279. Let c(q) be the first derivative of q**2\/2 + 32*q + 7. Calculate the remainder when c(0) is divided by p(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*a + 5*x - 68, -a + x + 14 = 0. Suppose 3*f - 91 = 11. Calculate the remainder when f is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(1 - 6 - 6)*(j + j + j) - 4 + j + 4.\nAnswer: -65*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 15.05. Let s = n + -4.05. Let q = 1 - -2. What is the closest to 2\/7 in s, -9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -44\/39, -0.3, 5?\nAnswer: -44\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.078 + -7.00819.\nAnswer: -6.93019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/5 + 9126*g**4\/5 + 164754*g**3\/5 + 742122*g**2\/5 = 0. What is g?\nAnswer: -9, 0, 4581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnssssnssnsssssnnn. Give prob of sequence nn.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (123\/287)\/(27\/105)*(-102)\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 2*i**2 + 47*i + 2. What is r(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/11 (b) 66 (c) 0 (d) 2\/481\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -147222*v**3 - 4*v**2 + v. Let h be 51\/9 + (-2)\/(-6). Let j be b(h). Round j to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2056368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74300, 74980, 75660, 76340, 77020, 77700?\nAnswer: 78380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.61 + -0.61. Let s = u - 25. Let t = -1 - -2. Which is the closest to -2\/7? (a) t (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110592 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 319 or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 19*g**2 + 31*g + 41. Give y(20).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Find the common denominator of -46\/3 and b\/(-6)*142\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286657*q**4 - 324*q**2 - 5*q - 1 wrt q.\nAnswer: -6879768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrqqvrrkkvqkkrb. What is prob of picking 2 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 1. Let y(z) = 9*z - 15. Let h(q) = 6*w(q) + y(q). Let k be h(4). Suppose 5*a - 5 = -0, -a + 475 = k*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 149?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -144, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 623511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (-141 - -141) + (-18 - 3)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2757 = 9*x - 798, -789 = -2*x - g. Calculate the greatest common divisor of x and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*y**3\/5 - 27*y**2\/5 - 21*y\/5 + 27\/5.\nAnswer: 3*(y - 1)*(y + 1)*(7*y - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.3562 or 13?\nAnswer: 12.3562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -121*(10\/(-4))\/((-1)\/(-2)). Is g less than 606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1413 + 51b99?\nAnswer: 532ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1701, 23, -15 in descending order.\nAnswer: 23, -15, -1701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3330 is divided by 416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 3*t - 5*t)*(-3*t - 3*t + 7*t) + 2*t**2 + 3*t**2 - 3*t**2 + (4*t + 0*t + 12*t)*(-3*t + 2*t + 8*t) to g + a*t**2 + k*t and give a.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73165, -73146, -73127, -73108?\n\"Answer: 19*l - 73184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391336, -391262, -391144, -390988, -390800?\nAnswer: -390586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178 - 140. Suppose -w + 2 = -2*w. Let k = w + 41. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101011110111001 + -10001?\nAnswer: 1100101011110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.09 (b) -0.07 (c) -11 (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 6 = 4*v. Let d(k) = 15*k**2 - 4*k - 8*k**2 - 2*k**3 + k**3 - 6. Calculate d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + v**4 + 4*v**2 + (-2*v - 2 + 2)*(-814346 + 814346 + 573*v**3).\nAnswer: -1145*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -30*x - 140. Let k be h(-7). Calculate the greatest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (194764\/(-184))\/(-73) + -28.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*c - 1407, f + 422 = 429. Which is bigger: -348 or c?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12921030 + 12921030 - 1731*y**2.\nAnswer: -1731*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 - 1 + 0 + t**2 - 4*t**3 - 3. Let w be k(3). Suppose -2*s + 4*s + n = w, 5*s = -n + 77. What is the remainder when s is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45055.\nAnswer: 5, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a meter in millimeters?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 172872 divided by 42\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = 0. Let p = 6 - 7. Which is the nearest to -0.1? (a) u (b) 2\/15 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8182084 + 163698729\/20. Let c = z - 2850. Find the common denominator of c and 21\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -6. Let s = 59 + -59. Let p be s\/(5 + a + 0). Solve 0 = -p*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 30, 2.\nAnswer: -8, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) -1\/2 (c) 0.2 (d) -38 (e) -6 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3084283513\/5875090 + -49\/136630. Let z = -525 - f. Is 1 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n + 3. Let o(k) = k**2 + k + 2. Let j(b) = -4*o(b) + 3*z(b). Suppose -4*x + 5*c + 10 = 23, -4*x = -c - 7. Determine j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1578 and 111.\nAnswer: 58386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 8 + -5 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(704) - sqrt(704))*5)**2*-5.\nAnswer: -88000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 0, -3*c = c + 4*a - 3052. Suppose -7190 = -5*b + 5*z, 4*z - c = b - 2197. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/13 + 668*z**3\/13 - 68490*z**2\/13 + 1411024*z\/13 + 77372000\/13 = 0. What is z?\nAnswer: -23, 116, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 14*b**2 - 7*b + 33. Determine t(14).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 1 (c) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.35, -5, -3, 4, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-48)\/(-15)) + 202\/10. What is the units digit of 2*y\/(-6)*(-6)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.2 + -8. Let j = t + -2. What is the nearest to j in 2\/13, -2, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 5, w: 6, t: 1}. Give prob of picking 1 w and 2 y.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*1 + (-16)\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2 - (-3 - (-101 - 0)). Do -96 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 f when four letters picked without replacement from {p: 6, f: 5, l: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -24. Let s(p) = p**2 + p**2 - 3*p**2. Let k be s(l). Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 4*c + 20, 12 = 3*g - c. Suppose -5*m + 71 + 49 = 5*v, -g*v - 2*m + 106 = 0. What is the remainder when v is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 399*w**3 + 770*w wrt w.\nAnswer: 2394*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1704*m + 638*m + 767*m.\nAnswer: -299*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5564152 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 258 + 184 = 0. What is the remainder when 2*-1 - (0 + -52) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30636 > -30405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3. Let b(h) = h - 2. Let j(o) = 3*b(o) - 2*v(o). Let f(n) = 6*n. Determine f(j(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - a**3 - 436*a - 269*a - 4*a**3 - 249*a**2.\nAnswer: -5*a*(a + 3)*(a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times -12.4?\nAnswer: -57.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 454, 3436, 11450, 27010, 52630, 90824?\n\"Answer: 419*b**3 + 2*b**2 + 43*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:03 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppy when four letters picked without replacement from pppyyppppypppppypp.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6)\/5)\/(-78399 + 78426)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 5. Let v be w(0). Let c(r) = 3*r**2 + 2*r + 1. Let o = -10 + 14. Suppose 2 - 6 = -o*x. Let s(k) = k**2. Calculate v*s(h) + x*c(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*u**3 + 8*u**2 + 2*u**2 + u**2 wrt u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304161609 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhgh. Give prob of sequence hqhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 206450898 a multiple of 1702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 45 = -13 - 56. Let z(s) = -2*s + 13. Let v(k) = -4 + 42 + 3*k - 9*k. Let u(i) = 6*v(i) - 17*z(i). What is u(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/10 + 58*o**3\/5 - 1303*o**2\/5 - 2778*o\/5 - 567\/2 = 0.\nAnswer: -135, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587*x = 3142*x + 112555 - 490875 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254523373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d75a4 (base 16) in base 5?\nAnswer: 211211314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787628*k**3 + 524850*k**3 - 2263433*k**3.\nAnswer: -2526211*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3320665337.\nAnswer: 11, 179, 1686473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -225*j**2 + 7*j - 91. Let t be s(-12). Let v = t + 48848. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -10. Let k(u) = -u**3 + 11*u**2 - 10*u + 1. Let x be k(10). What is the nearest to -1 in x, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {e: 4, g: 2, t: 3, h: 2, u: 8}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -2*i - 144 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 10*u + 255 = 663 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 1 + 1 - 7*h + (3*h - 3*h + 4*h)*(4 - 4 - 2) + h + 3 - 3 + 2*h - h + 0*h + 0*h + h - 2*h.\nAnswer: -14*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**3\/2 - 7*v + 4. Let f(s) be the first derivative of u(s). Let m be (-1)\/(-3) + (-26)\/6. Determine f(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1050 and 61\/38912?\nAnswer: 20428800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(-1 + sqrt(2057)) - -5*1*sqrt(2057)) + (sqrt(2057) - (-1 + sqrt(2057) + -3)) + (-1 + sqrt(2057) + 0 - sqrt(2057)))**2.\nAnswer: 1760*sqrt(17) + 164640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -63. Let z(k) = -k - 1. Let g be z(-4). Suppose -5*b - 15 = -5, 0 = g*q + x*b - 4. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*d = 1259*d - 5288 + 1832 + 36816 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/3 - 36698*l**4 + 1210810*l**3\/3 - 990410*l**2\/3 - 4366124*l - 10787056\/3 = 0.\nAnswer: -2, -1, 7, 55036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -164*u + 163*u. Calculate the remainder when 332 is divided by u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42029 - 42029.2. Let b be (-4)\/6 + (-77)\/(-147). What is the nearest to 0.3 in -2, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80412, 160838, 241262, 321684?\nAnswer: 402104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - k + 229, -2*d + 4*k + 114 = 22. Let z be d\/(-20) - 3\/15. Let r be (-1 + 1\/(-4))*4. Sort z, r, 6 in increasing order.\nAnswer: r, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 37 = -3*o, 3*o - 5*b + 2*b = -27 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 49\/4. Is -2 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let b(h) = 28*h + 13. Let z(j) = -b(j) + 6*t(j). Suppose 47*d + 60 = 41*d - 6. List the prime factors of z(d).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 7:26 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.53, -3.355, 4\/7 in ascending order.\nAnswer: -3.355, 0.53, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h + 1. Let c(x) = 5*x. Suppose 7*o - 40 = -26. Give o*f(t) + 3*c(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l = 3*v + 3, 9 = -3*v - 3*l. Suppose -3*p - 37 - 2 = v. Which is bigger: p or -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (21 + (-8 - -17))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 116*p - 4402. Give i(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -760 - -1540. What is the highest common divisor of g and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 1 - 251*y**2 + 209*y**2 + 1 + (-3 - 3 + 4)*(-18*y - 12*y**2 + 18*y).\nAnswer: -18*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -58, -193, -454, -883, -1522?\nAnswer: -2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 y when four letters picked without replacement from qqyqqqppyqpyyqypyaqy.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + ((7 - 1) + -115 + 108 - 99).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -312 + 530. Let v = h + -89. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3322220 (base 6) to base 9.\nAnswer: -273233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4610*d**6 - 85774*d**3 - 210651953*d**2?\nAnswer: 553200*d**3 - 514644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 9085*f**4\/2 + 9457495*f**3\/2 + 23562610*f**2 + 28262110*f + 31080 = 0.\nAnswer: -1036, -3, -2, -2\/1817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Solve -2 = d*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:43 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let k(j) = -2*j**2 + 5*j**2 - 2*j**2. Determine i(k(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12709970*o**4 + 22322845*o.\nAnswer: 152519640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 77*h + 1367. What is v(15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6. Let a be (-2)\/9 - 2\/(-9). Let i be r(a). Suppose -3*u + 63 = -3*p, 2*p + 12 = i*p. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:56 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340 - 340. Let s(x) = -x**2 + x + 5. Give s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -405800, -405682, -405490, -405230, -404908?\n\"Answer: -f**3 + 43*f**2 - 4*f - 405838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, -188, -689, -1408, -2339, -3476, -4813, -6344?\nAnswer: -8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j = 0. Suppose 27 = -j*k + 3*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.021 (c) -0.1 (d) 1\/4 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - 2*p - 1. Let f = 194 - 198. Let y(a) be the second derivative of 7*a**4\/12 - a**3\/3 - a**2\/2 - a. Give f*y(h) + 5*i(h).\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 17*q - 4. Let k(r) = 8*r - 2. Let d = 14 + -8. Let t(m) = d*p(m) - 13*k(m). What is the units digit of t(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + 4. Let w(y) = -y**2 - y - 1. Let h(f) = -12*f**3 - 9*f - 12. Let b(s) = v*h(s) - 22*w(s). What is d in b(d) = 0?\nAnswer: -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -929 - -3783. Suppose 7*c - 86 = y. Find l, given that -c*l**2 - 2*l - l + 419*l**2 + 4 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3813534, 7627065, 11440596, 15254127?\n\"Answer: 3813531*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - ((9 - 6) + -5)) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from {w: 1, b: 2, q: 4, a: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2816880 - -2768521.12. Let b = u + 48361.4799855. Let v = 2.6 - b. What is v rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3))**34*((q**1\/q)\/q)**(-16\/7)*(q**(1\/2))**(-7)*(q**(-2\/7)\/q)**(-36) assuming q is positive.\nAnswer: q**(2845\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-68)*(-560)\/(-315)*9\/15?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 1229428214165?\nAnswer: -1229428214160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 556712421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1493, 2990, 4487?\nAnswer: 5984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605474 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 - 1463*u - 24773. Calculate k(-18).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 2*y - 1. Let s be -1 + 2 + 2*(-4)\/(-8). Let f be (-2)\/5 + 42\/5. Let q be (s*(-4)\/f)\/1. Give n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-162 + 139) - (-1 + (1 - 157))\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*l + 108 = -83*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:11 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**5 - p**4 + p**3 - p**2. Let u(j) = 25*j**5 - 30*j**4 + 25*j**3 - 20*j**2. Let y(x) = -20*q(x) + u(x). Let y(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -100*c - 806. Calculate d(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21131 (base 6) to base 16\nAnswer: -b2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -75*p**2 - 8*p + 10. Let m be b(-9). Is (-2)\/10*m - (-6)\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29522.82um to millimeters.\nAnswer: 29.52282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - c + 90 = -2*c - 3*x, -52 = 2*c + x + x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 144. Let w be 15*u\/(2 + 17\/(-10)). What is the highest common factor of 100 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18850 is divided by 512?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 - 3 = 0. Solve 0 = 3*j - v + 3, j + 1 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 976 + -279. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**2. Let v(r) = -7*r + 4*r + 570 - 571 - 11*r. Give v(f(p)).\nAnswer: -140*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 9*x**2 + 0 + 0*x + 7\/12*x**4 - 5*x**3. What is the first derivative of d(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2 - 39*n**3 + 0*n + 2*n + 36*n**3. Let x(r) = -3 + 4 + 3*r**3 - 2*r - 4. Let v(a) = -3*o(a) - 2*x(a). What is the second derivative of v(s) wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**3 + 32873875*j**2 - 65747730*j = 0. Calculate j.\nAnswer: 0, 2, 6574773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, 252, 2\/9, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 6*o**2 - 3*o - 10. Let l be u(7). Suppose 0 = -5*p + 7 + l. Suppose p*s = -0*s + 60. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384146805 divided by 3.\nAnswer: -128048935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/12*-8 + 3. Suppose 11*t - 2384 = o*t. Does 73 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*l - 1. Which is smaller: l or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -n*z = 126 + 69. Let a = z - -124. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1262168 by -8.\nAnswer: -157771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (62 + (-2 - -1) + (-62 - -83))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.88497459 - -1739100?\nAnswer: 1739103.88497459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 (base 7) in base 6?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100944)\/(-1034676))\/(876\/82).\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*d + 1234, b = 6*b + 10. Suppose -d = 17*h - 1429. 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 common denominator of ((-2768)\/12330)\/4*654\/872 and 139\/60?\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/21 - (-1 + -2). Let i = 5 + -4.5. Suppose -u + 4*u = -p - 9, u - 4*p = 10. Put u, w, i in descending order.\nAnswer: i, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((-15)\/(-15))*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122 - 221102200?\nAnswer: -221022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 3*a**2 + 5*a - 3. Let h(m) = 2*m**3 - 4*m**2 - 6*m + 4. Calculate 4*g(n) + 3*h(n).\nAnswer: 2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 - 8*z**3 + 5*z - 5*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - 8. Let q be (-550)\/m - (-4)\/14. Let y = 60 + -20. Calculate the highest common divisor of y and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b7 + 1ad1?\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81718 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(4032\/54)*(-7)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**3 - 101*u**2\/3 + 6*u + 8\/3.\nAnswer: (u - 2)*(5*u + 1)*(9*u - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -6) + (2 + -2 - -3). Let c(b) = -3*b**2 + b. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*(-65)\/26?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 3*g - g + (-4*g - g + 4*g)*(0 - 3 + 4) - 4*g + g + 2*g - 3 + g + 3 + (-2*g - g + 4*g)*(2 + 0 + 1) - 58*g + 27*g + 12*g to o + v*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262972 less than 2262964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1. Let h(n) = 29*n**3 + 255*n + 251*n - 3 - 507*n + 4 - 3. Determine -h(x) - p(x).\nAnswer: -29*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21663944 divided by -2707993.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 4*d**2 + 3*d - 7. Let w be h(4). Let j be (w\/2)\/1*60\/75. Factor -4\/5*p + 3\/5 + 1\/5*p**j.\nAnswer: (p - 3)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-57))\/((-70)\/105*(-8)\/96)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -405597 + -6?\nAnswer: -4055a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13490.\nAnswer: 2, 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 89950 + 3*m**4 - 9*m**4 - 89949 + 14*m**3 to the form v*m + l*m**4 + j*m**2 + a + q*m**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*h = 17, -h + 1 = 1079*f - 1081*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9))\/((-1)\/6). What is the derivative of 8*u + j - 2*u**3 - 8*u wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 17970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*d - 1194 = -s, -1997 = -5*s - d. Suppose 47*v - s = 43*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 87. Let m(d) be the first derivative of d + 1\/3*d**3 - a - d**2. Factor m(l).\nAnswer: (l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*c + 1129*c = -816 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343*c**4 + 6*c**3*x**3 - 2*c**2 + 3*c*x**3 + c*x - 21*c + 6*x**2 - 33 wrt c?\nAnswer: -4116*c**2 + 36*c*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 688*o - 1 - 531*o**3 + 682*o + 2*o**4 - 1372*o + 529*o**3 + 3545*o**3 to the form f*o**4 + r*o + j*o**3 + h*o**2 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -201, -486, -891, -1416, -2061?\n\"Answer: -60*l**2 + 15*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 3b5?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-15) + (-497)\/195. Let k = l - -2663\/546. Let q = -11791 + 235911\/20. What is the common denominator of k and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253.72 - 253.72050326. What is r rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21\/4 of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 3*b - 1. Let f = -9 + 13. Let a be v(f). Let w be (-2 + 1 - a) + 0. Let m(q) = -q**2 + 3*q + 2. Calculate m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 3 - 3)*(-5*i - i + 4*i) + 0 + 4*i + 0)*(-3 + 1 + 4) in the form u + o*i and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -26*q - 286. Let g(a) = 5*a + 57. What is 16*g(d) + 3*i(d)?\nAnswer: 2*d + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 10*k + 8 = -6*s, 4*k = 4*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xubuuiiuiouuuuiiuuui. Give prob of sequence ubu.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.8 + -31. Let l = 6 + k. Which is greater: l or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 1\/4*a**4 + 54 + 2\/3*a**2 - 2*a + 11\/60*a**5 - 4\/3*a**3. Factor g(j).\nAnswer: (j - 1)*(j + 2)*(11*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = -66030*s + 66059*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from qlqqszqqlqqzqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*o + 171 = 0, 5*j - 6*o - 282 = -2*o. Let m = 2941 + -2913. What is the remainder when j is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 4, l: 1, b: 5, v: 2}. What is prob of picking 1 b, 2 v, and 1 x?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = -5*m. Suppose -k + 5*j = -2*k - 16, 36 = 5*k - m*j. Solve -2*g = g + 2*t - 9, k*g - 5*t = 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220967 and 2219940.\nAnswer: 24419340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-36) + 57\/133?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/91*-2 + 2\/(-13). Solve 4*q - 12 + 20 = r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a10 - -1?\nAnswer: 7a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6932029*i - 27728118. Give l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -370 - -523. Suppose 7*i - f = 4*i. Let b = 98 + i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3702000\/((-20)\/((-480)\/(-36))). What is p rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3961.8 - 3962. What is the nearest to 2\/103 in 3, 15, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137\/3 - 46. Let q = -0.04 - 0.96. Let y = 1.5 + q. Which is the third smallest value? (a) -5 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 490*c**2 - 983*c + 492.\nAnswer: (c - 1)**2*(c + 492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 not equal to 142823\/351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217\/(-155)*24\/7)\/((-6)\/(-20)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3727 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -309630.9?\nAnswer: -2167416.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23232 = 3183*g - 2655*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2899*w**5 + 3958*w wrt w.\nAnswer: -57980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23531671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 16 + 4)*(-1113 - 70*v + 1113) as h*v + u and give h.\nAnswer: -1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 20. Suppose u*x - 25 = -5*m, -4*m + 27 = -m - 3*x. Differentiate -m + 3*w + 1 - 5*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-14)\/(-14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/442 + -1349\/10166. Let q = n + -17\/46. What is the third smallest value in 1, q, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1538\/10619 + 3\/1517. Which is the biggest value? (a) -15 (b) k (c) 2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 8, s: 2, a: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 532?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100553707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v + 2*b + 110 = 0, 2*b + 6 = 0. Let w(g) = -g**2 + 4*g + 2. Let z be w(-2). Let a be 6\/z + v\/(-10). Do 2 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4257 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a (base 11) in base 9?\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -471.724 rounded to the nearest 10?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 10 + 24)\/(1 - 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67385552 and 172822?\nAnswer: 7514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*c**4 - 1\/2*c + 1\/2*c**2 + 1\/2*c**3.\nAnswer: -c*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134148.554s to weeks.\nAnswer: 1.875245625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151.87 - 152. Which is smaller: z or 20\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38759 and 3.\nAnswer: 116277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdbbddbbpttdbbdtbbb. What is prob of sequence ptdp?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*k**3*m**3 + k**3*m**2 - m**3 + 191*m**2 wrt m.\nAnswer: -450*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10*(-16)\/(-200)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - -5.286\nAnswer: 6.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 2 + (2 - 2 - 1 + (2 + 1 - 2)*(-1 + 2 + 1))*(2 + 43 - 4))*(-22*r + 18*r - 4 + 1) to o*r + z and give o.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*k + 23, -4*o + 74 = -k - 0. Let h = -32 - -72. Suppose w = h + 15. Calculate the remainder when w is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3746, 3762, 3790, 3836, 3906, 4006, 4142?\nAnswer: 4320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203210 != 199077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/155 and 52\/145?\nAnswer: 4495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258256634 to the nearest integer?\nAnswer: 16070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 6. Suppose m = -4 + 6. Let s be y(m). Let h be 4*(-12)\/s - (-1 + 1). Solve 6 = 5*n - 0*x + h*x, 0 = -2*n + 3*x + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 1972, 4530, 8204?\nAnswer: 12994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - r + 9, -4*r + 12 = y + y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)\/((702\/12)\/9). Sort -5, -0.06, j, 0.1.\nAnswer: -5, j, -0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-1)*d)**(-40))**3*(((d*d\/((d\/(d*d**(-2\/5)*d))\/d)*d)\/d)**43)**(5\/7) assuming d is positive.\nAnswer: d**(-906\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 14 = -0*n. Let o(r) = r + 1 + 22*r**n - 12*r**2 - 11*r**2 - 2. Let h(v) = 4*v**2 - 6*v + 4. Give -h(f) - 5*o(f).\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1585\/2 - -792. What is the nearest to 4 in -1\/6, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1110000?\nAnswer: 1103323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -327744*z + 149038816 - 46779*z**2 + 50787*z**2 + 1666416*z + 4*z**3.\nAnswer: 4*(z + 334)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 + 11 - (2 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 w when three letters picked without replacement from bxwwbdb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1701fe5 - -3?\nAnswer: 1701fe8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39178060*n**3 - 601529177.\nAnswer: 117534180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/35)\/((-10)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:26 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w + 2. Let r(g) = -51*g - 21. Let j = -18 + -3. Let y = 24 - 26. Give j*v(l) + y*r(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -329, -493, -677, -887, -1129, -1409?\n\"Answer: -j**3 - 4*j**2 - 145*j - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*c = -135*c. Let w(h) be the second derivative of -1\/10*h**5 + c*h**2 - 5*h + 1\/42*h**7 + 0*h**6 + 0 + 1\/6*h**3 + 0*h**4. Factor w(x).\nAnswer: x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**2 + 5161*y**5 - 4*y**2 + 0*y**2 + 51*y**5 + 6*y**2 wrt y?\nAnswer: 312720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g**(1\/13)*g*g))\/((g\/(g*g\/g**9)*g)\/g)**44 assuming g is positive.\nAnswer: g**(-4525\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 24 = -10*y. Let h = 13 - y. Solve -3*j = -5*j - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20367 + -23625697\/1160. Find the common denominator of z and 67\/580.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2315344060 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v + 37530 - 7367175 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -611 (c) 8065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -635c2?\nAnswer: -635c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4869240 is divided by 697?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, g: 1, d: 9}. Give prob of picking 1 d and 1 a.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1944 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 813, 3232, 7257, 12888, 20125?\nAnswer: 28968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/s**(-1\/74))*s*s**(33\/2)\/s assuming s is positive.\nAnswer: s**(647\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 35*m**2 + 8313*m + 4243. Determine z(-237).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohqssshto. What is prob of sequence ss?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -9162 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4411 - 4409. Which is the second smallest value? (a) -0.1 (b) t (c) 205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*v**3 - 141*v**3 + 70*v - 70*v.\nAnswer: -272*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in 3\/112, -2\/7, -8?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -112. Suppose -2*s - 2*s + z = 0. Solve s = -g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/5561 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1479281084 + 1479281084 - 10*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9039 + -3859. List the prime factors of k.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 6*((sqrt(3) - (sqrt(3) + 2*sqrt(3) + sqrt(3))) + -1 + sqrt(3) - sqrt(21)\/(sqrt(7) - sqrt(7)*-2))*3)*-6 + 1)**2.\nAnswer: 57960*sqrt(3) + 203737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 147, 31, -137, -381, -725, -1193, -1809, -2597?\n\"Answer: -4*d**3 - 2*d**2 - 82*d + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - -25. Calculate the greatest common factor of 140 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -837*n**3*q**2 - 1739*n**3 + 263295*n**2*q**2 + 17*n**2*q wrt n?\nAnswer: -5022*q**2 - 10434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:10 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18611035*a**3*r**2 + 43188137*a**3 - 3*a*r**3 with respect to r.\nAnswer: -37222070*a**3*r - 9*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Suppose -4*a + 10 = 42. Let b be z(a). Let t be (-3)\/b*3*12. What is the highest common divisor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 + 3*c**2 + 2*c + 2. Let i(y) = -14*y**3 + 15*y**2 + 11*y + 11. Let j = 706 - 695. Determine j*a(v) - 2*i(v).\nAnswer: -5*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Suppose 2*b = 4 - j. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19200 + 19765 = -840*h + 5365 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10063702.\nAnswer: 2, 11, 619, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = -13. Let b be u\/13*4\/(-6). Is b at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let t(o) = 2*o - 7. Let k(m) = 4*h(m) + t(m). Suppose -5*f - 20 - 15 = 0. Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 3)*(-3255 + 3255 - 2*o**2 - 15*o).\nAnswer: -6*o**2 - 45*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905795574 less than -7.94?\nAnswer: 1905795566.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1119, -2003, -2885, -3765, -4643?\nAnswer: -5519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((6 + 6 - 25) + 10) - -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2118 - -4195. Calculate the remainder when t is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 + 0*d**2 + 2*d**2 + (0*d + 2*d + 0*d)*(0 + d + 0) + 47*d**2 + 5261*d - 5261*d.\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7289694, -7289705, -7289716, -7289727, -7289738, -7289749?\nAnswer: -7289760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/411 and 3552\/64*(-4)\/81.\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3810*h**2 - 3189 wrt h.\nAnswer: -7620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -491\/196 + 1\/196. Let y = 3 + x. Factor 1\/4*f**3 + 1\/4*f + y*f**2 + 0.\nAnswer: f*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 23. Suppose -3*z + 3*v = -8*z + m, -4*z + 43 = -5*v. What is the least common multiple of z and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + j = 67, -3*c + j = -50 - 171. What is the tens digit of 1\/2 + (-3)\/(c\/(-18516))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2 + 1.9. Let x = -0.3 - b. Let f = 4 + x. Sort -1, -2, f.\nAnswer: -2, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2426 and -793.\nAnswer: -1923818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let b(z) be the second derivative of 3*z**3\/2 - 3*z. What is the units digit of b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6)\/1)*6\/105?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 5, g: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1377)*2.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110105)\/(-366))\/(-361)*54.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**6 + 132747*c**5 - 32280648*c**2?\nAnswer: -720*c**3 + 7964820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7590 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 y be 2\/((-3 + 1)*1). Let z(b) = -b**2 - 24 + 25 - 4*b**2. Give z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -56. Let j = -18.6 - i. Let z = 0.06 - 0.36. Which is the nearest to 1\/3? (a) j (b) z (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161797\/16 - -10108. Calculate the common denominator of l and -151\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15) - 24\/(-9). Let q be 1 - 21\/s*-9. Calculate the greatest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*r**2 - 192*r + 192*r)*(-4 + 3 + 4*r**2 + 3) + 2 - 2 + 2*r**4.\nAnswer: 142*r**4 + 70*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 33*b**2 - 43*b - 295. Let k be o(-34). Solve 2*l + 20 = -5*p + k, -3*p = l + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p + 20384 = -59*p. Let m be (-6)\/(-5)*(0 + -15). Let d be p\/(-12051) + 4\/m. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -321 + 583. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5907 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/2 + 11140*r + 62049800 = 0.\nAnswer: -11140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18299751?\nAnswer: 3, 6099917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3700 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -292*s + 2734. What is x(15)?\nAnswer: -1646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1287, -2263, -3239, -4209, -5167, -6107, -7023?\n\"Answer: a**3 - 6*a**2 - 965*a - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20116 - 25?\nAnswer: 20081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 29478?\nAnswer: 58956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5359*y + 86129 = 2594*y - 2302*y + 227404 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 9368716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f + 127. Let a be k(7). Let s be (0 - 4\/(-36))\/(a\/(-48)). What is the nearest to 1 in -0.2, -0.3, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.46024 rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 8*g**2 + 3*g - 7. Let s be m(8). Suppose -s = -b + d + 157, 0 = -2*b - 4*d + 318. Calculate the highest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101 + -115 - (-3 + 2 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1\/2 (b) 1\/10 (c) -2 (d) 14 (e) 2\/485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -478989 * -2.39\nAnswer: 1144783.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-20\/7)\/(a*a\/(a**(9\/7)\/a)) assuming a is positive.\nAnswer: a**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/6 - 14*h**4\/3 + 77*h**3\/6 - 25*h**2\/3 = 0. What is h?\nAnswer: 0, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 12 - -8 - (-4 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 1. Let z be t(-3). Let y = 8 - 10. What is the nearest to -2\/11 in z, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o. Suppose o = -3*a + 11*a - 96. What is the greatest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.247 - -28.247. Which is the nearest to g? (a) 2 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 99.738 and -149.94.\nAnswer: -50.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 + 12 = 4*q, q + 7 = -4*y. Let v(z) = -3*z + 9*z - z - q + 4. What are the prime factors of v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**3 - g + 2. Let p be w(-2). Suppose 3*t - p = -v - v, 2*v + 2*t = 18. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6454764 by -2703.\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(24\/(-8100)*-9). Solve -32*t + 235 = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1629179\/420 + 3879. What is the common denominator of v and 79\/154?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(80)\/sqrt(64))**2*-1 + (sqrt(540)*-1)\/(5*sqrt(24)\/sqrt(2))).\nAnswer: -3*sqrt(5) - 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2 + 10*n - n**2 - 4*n - 3 + 0. What is the lowest common multiple of 11 and q(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-7)*c)\/c**(-2\/17))\/(c**(-2\/3)\/c)**(2\/5) assuming c is positive.\nAnswer: c**(-113\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 45*y - 41*y - 5*f, 4*f - 28 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -202690 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczczzzczcczzc. What is prob of sequence zz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*8\/(-28)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228405 divided by -4.\nAnswer: -228405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*v + 5. Let a be 2*(120\/3 - -4). What is the highest common divisor of v and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13427.\nAnswer: 29, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3, a: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/21*(-2)\/8. Let a(i) be the first derivative of 3\/2*i**2 + 1\/3*i**3 - i - y. Calculate a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 42*v. Let r(a) be the second derivative of a**3\/6 - 40*a. What is r(y(k))?\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9957 = v + 2*i, 4*i - 9960 = -v + 3*i. Let w = v + -6808. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/12 - s**3\/2 - 9*s**2 + 18*s. Let y be b(10). Suppose -t = -27 - y. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333054233 divided by 3?\nAnswer: 444351411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - i + 121, 3*i = -5*g - 147. Let w be 6\/(-2)*20\/g. Suppose -w = -x, 3*l - l = -4*x + 750. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 2*p - 2*p + (-2*p - 2*p + 6*p)*(-1 + 2*p + 1) - 2*p**2 + p**2 + 3*p**2 + 3*p**2 + 3*p**2 - 4*p**2 - 5*p + 7*p + 0*p + 3*p**2 - 2.\nAnswer: 12*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(4 + (-9)\/2). Suppose 0 = f*t + 1 - 11. Suppose j + 0*j - 3 = 0. Solve 3 = -2*k + 4*b - 3, t*b = j*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121517*l**6 - 2*l**4 + 184*l**2 - 3*l + 20?\nAnswer: -14582040*l**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 489065 = 3*y, 30*y = 2*n + 25*y - 195626. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 42 - 14. Let c = 9 + -8. Let l(v) = 3*v**2 - 2*v + 1. Let r be l(c). Solve 0 = -r*h + k*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-120)*-18)\/(354\/(-1475)*(-30)\/9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 2*h**5 + 8*h**5 + (h + 0*h - 2*h)*(-2*h**4 + 3*h**4 + 5*h**4).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, -0.045, 739\/56?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6660 and 26640?\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {i: 2, q: 3, k: 1, o: 1, r: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/15 - 384*r\/5 + 27552\/5 = 0.\nAnswer: 84, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1 + (-4)\/((-8)\/6). Suppose -6*g + 25 = 5*s - 8*g, 0 = 2*s + x*g + 14. Factor 2\/9*j - 4\/9*j**2 - 2\/9*j**s + 4\/9.\nAnswer: -2*(j - 1)*(j + 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3074128*i**3 + 2656*i**2 - 217*i - 2 wrt i?\nAnswer: 18444768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125936 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-3)\/(-12)). Let o be ((-3)\/9)\/(1\/(-15)). Sort o, b, 1.\nAnswer: 1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -2.01. Let m = 3.85 + -1.71. Let k = 0.14 - m. Is k <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - 9 - (56 - 69))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*i - 0*i + 3897, -4*q - 3921 = 3*i. Let o = q - -1395. Suppose 77 = -5*r + o. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -d - 2*d. Suppose 8*o - 4*f + d = 4*o, -4*f = -20. Solve -6*q**2 - 4*q**3 - 4*q**o - 35*q**4 + 3*q**5 + 41*q**4 + 5*q**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - 9. Let h be u - 3\/((-9)\/(-6)). Let t be (-5)\/((-5)\/3) + -3. Solve a = -k - 1, t = 5*a - a - k - h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 32385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 916 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 69 - 6*a**2 + 61*a**3 + 58*a**3 - 122*a**3 to the form r + u*a + g*a**2 + x*a**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/19 + 3337444*z\/19 - 1392316556642\/19 = 0?\nAnswer: 834361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v\/(v**(8\/3)*v))**(-46)*(v**(1\/7)*v*v**(-1\/3))\/(v**(-6)\/(v\/((v*v**7*v)\/v)*v*v)) assuming v is positive.\nAnswer: v**(-4148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**3 - 5*g - 8. Let r(q) be the first derivative of 3*q**4 - 7*q**2 - 23*q + 1329. Give -6*r(h) + 17*y(h).\nAnswer: -4*h**3 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985 and 1057693.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -839866 divided by 419933.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 = -2*z. Let c(f) = 3*f + 1 - 3*f + 17*f**2. What is the remainder when c(z) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 + 20 = 4*o, 4*b - 3 = -3*o. Let p = -6 + 6.1. What is the smallest value in p, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = m - 24. Let n be ((-3)\/117)\/(4\/m). Is n less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadgxd. Give prob of sequence dg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/6*48\/(-3). Suppose d = -0*d, w = -2*d. Suppose p = -w*o + 4*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1321, 188, 4, -145 in descending order.\nAnswer: 188, 4, -145, -1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 49656.98 nanograms?\nAnswer: 0.00000000004965698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.7 - 7. Let y = i + -0.1. Let u be (3\/6 - 21\/36)\/((-47)\/(-188)). Which is the nearest to u? (a) y (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -30*p - 29. Give g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:07 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -760901 to the nearest 10000.\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.5. Let s(w) = -w**3 + 10*w**2 - w + 10. Let l be s(10). Which is the closest to l? (a) -6\/11 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 54 = 42, 803 = y + a. Does 50 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {v: 9, h: 6, q: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-75))\/(3\/(-30))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 17 = -5*z - 57, 0 = -4*n - 2*z + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -369 + 371. Which is the nearest to 4\/3? (a) -3 (b) o (c) -1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.05325+2\nAnswer: 0.94675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) - (-1 - 361\/(-11)). What is the tens digit of (0 + t)\/((-2)\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112909 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53449534 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: What is the third derivative of -5*x**3 + 836*x**4 + 14*x**2 + 3*x**2 - 825*x**4 wrt x?\nAnswer: 264*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.93 (b) -2.12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 divided by -402?\nAnswer: 314\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/2))*x)**(-16\/7)*x**(-13)*(x\/(x*x\/(x*x**(-18)*x*x*x)*x)*x)\/x assuming x is positive.\nAnswer: x**(-227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -181. Let g(t) = 2*t**2 + t + 1. Let q be g(-1). Solve -m = q*a + a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4669*o - 711*o = -451212 for o.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 184658.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/189352 and 81\/64?\nAnswer: 1514816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19941 is divided by 9873.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3700759 is divided by 457.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 19208.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/4 - 55*y**4\/12 - 10*y**3 - 2*y - 54. Factor a(s).\nAnswer: 5*s*(s - 12)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)*h\/h**(4\/11) assuming h is positive.\nAnswer: h**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*(v**6*v)\/v))\/v**(2\/3))\/(v**(-3)*v*v**(-1)*v))\/((v**(-1))**50\/(v*v**0*v*(v\/(v\/(v*v\/(v\/v**2)))*v)\/v)) assuming v is positive.\nAnswer: v**(151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o - 13. Let i be k(4). Let x = i - 35. What is the smallest common multiple of x and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**5 + 48150*g**4 + 579032*g?\nAnswer: 100*g**3 + 577800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 - 5*h. Let w be a(-4). Let s be (-36)\/(-10)*(-15)\/(-6). Suppose -s*c = -10*c. Solve c*n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g - 1. Let y be h(1). Solve 0 = 2*z - a + y, 5 = -0*z - 5*z - 5*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 34864 = 148560. Suppose h = 5*i + 4*h - m, 4*i - 3*h = 5345. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 4*c - 2. Let d(b) = -3*b**3 - 3*b + 2. Suppose -2*h + 4 = -4*u, -3*h + 0*u + 20 = u. What is h*d(f) + 5*o(f)?\nAnswer: 2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398.01 milliseconds in seconds?\nAnswer: 2.39801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let l(t) = -3443340*t. Calculate l(a(k)).\nAnswer: -6886680*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 855561*c**4 - c**3 - 74*c + 153175638 wrt c?\nAnswer: 3422244*c**3 - 3*c**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 28*c**2 + 3*c - 31. Let q be f(-7). What is the tens digit of (q\/1 - -2)\/2 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367038, 367066, 367092, 367098, 367066, 366978, 366816, 366562?\nAnswer: 366198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 - 3647*f - 3821*f + 7468*f.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztz when four letters picked without replacement from {s: 1, t: 1, z: 4, n: 2, j: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1090, -2273, -3748, -5509, -7550, -9865, -12448?\nAnswer: -15293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 6*s**2 + s - 24. Calculate h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 251*i + 161. Let y(n) = 2*n - 2. Let z(f) = -512*f - 317. Let r(l) = 3*y(l) + z(l). Let p(o) = 9*q(o) + 4*r(o). Differentiate p(b) wrt b.\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*y - 32. Suppose y*r = 20*r - 52. Let a be (-8)\/(1 + (-3)\/6). Sort -1, a, r in ascending order.\nAnswer: a, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023433203214 + -3?\nAnswer: -1023433203222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96033170 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n + 5. Let w be r(1). Let u(v) = 7*v + 11*v - 13*v - 61. What is the tens digit of u(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and ((-15867)\/3096)\/((-1901)\/(-2))?\nAnswer: 68436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 25.\nAnswer: -11\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*n - 8, 0 = -0*n - 3*n - 3*g + 24. What is the third derivative of 2 + n*f**3 + 3*f**2 - 2 wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/17, -5, 4, -2\/21, -3, -271, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162820156 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -1495*f**5 + 3359*f**4 + 9713*f**3 + 3425*f**2 - 1378*f + 56 = 0. Calculate f.\nAnswer: -1, 14\/299, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*s + 2330 = 6*s + 2336, -2*p = s + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184 - 171 + 703 + r**2 - 300 - 2*r**2.\nAnswer: -r**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69516, -69521, -69536, -69567, -69620, -69701?\nAnswer: -69816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.1 (b) -1 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20936 is divided by 1302.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 11 - 46 = -4*g, 0 = -r - g + 244 - 236 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420188773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.443312 * -0.1.\nAnswer: 0.0443312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + 5 + (-47)\/(-9))*-1. Let s = -0.04 + 0.44. What is the biggest value in d, -4, s, 0.17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.985 take away -3512.58?\nAnswer: 3468.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/352*(-27 + 1). Let m = f + 203\/240. Do 1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 7*r**2 - 17243 - 3*r**2.\nAnswer: -2*r**2 - 17243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2617 + 2627. Solve u*t = 5*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/9 + 2)\/((-2)\/(-12)). Suppose 2*j + y - c*y - 7 = 0, 2*j - 2 = -2*y. Suppose -92 = -2*b - 2*i, 5*b + 0*i - 202 = j*i. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -516?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28566.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113.00046 + 113. What is v rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/2 - 21829817*h**2\/3 - 58212841*h\/6 - 2425535 = 0.\nAnswer: -14553210, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401255619 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddyddddddydy. Give prob of picking 2 d.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((2*sqrt(882) - sqrt(882))\/(2*(sqrt(6)*2 + sqrt(6) - sqrt(6))))**2 - (-1*(sqrt(33)\/(sqrt(44)\/sqrt(4)) + -3*(sqrt(3) + 0)))**2).\nAnswer: -125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19644 = 10*o + 19424 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 5.6. Let y = -2.9 - -3. Which is bigger: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybkybypkywypynkyy. What is prob of sequence wb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 58*p = 70 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/2, -5, 2\/55, -4042?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f**2 - 5*f - 1. Let q(w) = -18*w**2 - 6*w - 1. Let v(p) = -6*i(p) + 5*q(p). Give v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13038 - -26039. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2. Let j(d) = -20*d**2 - d. Give z(j(q)).\nAnswer: 3200*q**4 + 320*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21162 is divided by 19730.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 13. Let p(q) = -q + 9. Suppose -b + 3*m = -58, 2*b - 2*m = -m + 121. Calculate the remainder when b is divided by p(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -16*h + 2*h**3 - 6*h**2 + 32 + 1\/2*h**4. Factor z(o).\nAnswer: 2*(o - 2)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323359.\nAnswer: 31, 42689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673632384?\nAnswer: 2, 1979, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 9. Determine i(15).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2863 or 1?\nAnswer: -3\/2863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -3*b - 2*v, 333 + 42 = -3*b - 30*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291240433 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.3 + 20.8. Which is the closest to -1\/3? (a) -0.5 (b) p (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chgllhahhchl. Give prob of picking 1 a, 1 c, and 2 h.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, u: 1, p: 2, e: 1, l: 1}. What is prob of sequence kle?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*13250\nAnswer: 53000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37317, 37321, 37327, 37335, 37345, 37357, 37371?\nAnswer: 37387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*(a**(-3\/5)\/a)\/a))\/(a**(2\/69)\/a))\/(a**(-2\/43)\/(a*a\/(a\/(a**(-3)*a*a))*a)) assuming a is positive.\nAnswer: a**(53666\/14835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 6109.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdkhl. Give prob of sequence flh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*b - 99 = -4*l, 0 = 2*l - b - 45. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/2 + 3. Let j = -1 + k. Let w = 3 + -7. What is the smallest value in w, 1, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 47. Let a be l(-14). Suppose 2*h - 29 = -3*h - 4*j, 20 = 5*h - a*j. Suppose -7 = -p - 0. Solve -h*k + 22 = -5*q + p, 3*k - 23 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007393931 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*y - 28 + 12, 2*y = -i + 5. Let j(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2\/2 - 2*t. Calculate j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc0 (base 16) to base 12.\nAnswer: 18a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 2*n - n + 2*n - 3*n + (3*n - 4*n + 0*n)*(-1 - 2 + 4) + 2 + 2*n - 2)*(-3 + 5 - 1)*(6 - 1 - 2)*(-4 + 1 + 2).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -1, -2 in ascending order.\nAnswer: -4, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 150. Is q\/4 - (-2)\/(-8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14312?\nAnswer: 2, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 25*t - 6. Determine q(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -8, 24 = -3*o + 3*r. Is 2 - -9*2\/(o\/(-123)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*12\/(-110)*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*m - 208 + 68, -m - 218 = -5*y. Let u = y + -43. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 92*z + 43. Let q(b) = 2*b**2 - 71*b + 41. Calculate 4*q(u) - 3*w(u).\nAnswer: -u**2 - 8*u + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 1 + 28*g**2 + g**2 + 13 - 13 + 7*g to the form r + c*g + p*g**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/3))**(-17)\/(j**(-7)\/(j**(9\/4)\/j*j)) assuming j is positive.\nAnswer: j**(-365\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.7555 to one dp.\nAnswer: -201.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13141 (base 5) to base 15.\nAnswer: 49b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -58912.4 to the nearest one thousand.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6624972.6 to the nearest one thousand.\nAnswer: -6625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 4, 0.4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 69. Determine i(28).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 344 = -2*i, 3*u + 3*i - 225 = 8*i. Suppose m - k + u = 4*m, -62 = -3*m + k. Suppose 0 = -q + 29 + m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {z: 7, i: 2, j: 2, y: 1}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 3*o**2 - o**2 + (-o + 2*o - 3*o)*(o - o - 2*o) - 4*o**2 + 9 - 22 + 23 to the form f*o + a*o**2 + m and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**6\/6 + 2*l**5\/5 - 2*l**3\/3 - l**2\/2 - 9. Factor g(z).\nAnswer: z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165.711+11\nAnswer: -154.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 65. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25515638 by 36.\nAnswer: -12757819\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(6*sqrt(66)*-1 - -5*(sqrt(66) + sqrt(66)*1)))\/(((sqrt(3000) + sqrt(30))*-5)\/sqrt(5)*-5))**2.\nAnswer: 16\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + 2*y)*(-y**4 - 4*y**4 + y**4) + (-4*y**2 + 3*y**2 + 3*y**2)*(-3*y**3 + y**2 - y**2) - 2 + y**5 + 2.\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6137*k = 5843*k - 2 + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5764\/7 + -824. Let h = 3152\/15 + -210. Is h at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -274 - -276. Solve 5*k - l + 20 = 0, 44 = -g*k - 3*l + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let l(n) = 4*n - 348. Let u(z) = -4*z + 265. Let c(t) = -3*l(t) - 4*u(t). Calculate -3*b(o) + c(o).\nAnswer: o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -6. Let f = 4 + r. Let p = 77 - 78. Which is the closest to p? (a) f (b) -2\/3 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/126151771 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247\/5 + 49. What is the fourth smallest value in 1, -4, -5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 24*l - 1. What is h(-13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.331053 weeks in minutes?\nAnswer: 3337.01424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67482048 divided by 3.\nAnswer: 22494016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579682.\nAnswer: 2, 13, 60757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z + 4\/3*z**3 + 1\/2*z**4 - 1 + 0*z**2. Factor g(b).\nAnswer: 2*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -477077, -477079, -477081, -477083, -477085?\n\"Answer: -2*y - 477075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -23 and -163\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 81. Let j(w) = -w**3 - 5*w**2 + 5. Let i be j(f). Solve 0 = -i*b - 19 + 34 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5865\/2346*116\/10?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/540 and -41\/918?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 2 in increasing order.\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43.4 and 955998.\nAnswer: 955954.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 1231 - 2231. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*b - 292, 18*x + b - 1287 = 14*x. Let a = 1 + 19. What is the greatest common factor of x and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 977\/278 + -2\/139. Factor 0 + 0*k + 5\/2*k**3 + 3\/2*k**5 - 1\/2*k**2 - y*k**4.\nAnswer: k**2*(k - 1)**2*(3*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293775 divided by 58755\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 0.395196?\nAnswer: 0.395196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2*4\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146215677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 3*j + 2*j)*(-j**2 - 3*j**2 + 5*j**2 + (-j + j - j)*(2*j - 4*j + 0*j) + j**2 - 2*j**2 + 3*j**2).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 20 = -t - 5*v, -5*v - 60 = 5*t. Let j be (-1149)\/15 + 4\/t. Let u = j + 149\/2. Sort 1, u, -2.\nAnswer: u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 53*w = -156. Solve 4*o + w = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*w + 18 = -z, 0 = -4*w - 12. What is the smallest common multiple of 30 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 - 23*b - 7. Give a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 705 by 18.\nAnswer: 235\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let m(z) be the third derivative of -z**4\/12 + 11*z**3\/3 - 3*z**2 + 10. Give c(m(k)).\nAnswer: -8*k**2 + 176*k - 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -530397 times 17\nAnswer: -9016749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 4)*(-22 + 17 - 10)*(0 + 1 - 2)*(2*m**2 - 2*m**2 + m**3).\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385643?\nAnswer: 19, 20297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/(((-54)\/(-6))\/(-9))*(-28)\/12642?\nAnswer: -2\/301","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -911972 or -911975?\nAnswer: -911972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -8, 1\/3, -4, 340\/7 in descending order.\nAnswer: 340\/7, 4, 1\/3, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1404366 by -254.\nAnswer: -5529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -k - 4, 5*m - 4*k = -2*k + 17. Suppose -2*f - f + 28 = -5*n, 12 = m*f + 3*n. Calculate the greatest common factor of 48 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*l + 14, 5*q + 2*l = 38 - 37 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*m + 44, -3*m + 15 - 9 = 0. Is (-10418)\/(-18) + 12\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3930\/240 + -23 + 3\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 9:34 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 260\/36 + 4\/(-18). Suppose 2*o = -4*a + 26, -b*a = -2*a + 4*o - 37. Solve 1 + 4 = a*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 - 4*j**4 + 3 + j - 3*j**3 + 0*j**3 to v + d*j**3 + m*j + o*j**4 + l*j**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2315 + 3?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 2. Let z be j(2). Suppose 4 = 2*x, -3*s + 11 - 34 = -z*x. Let y be 5 + (-4)\/2 + -9. What is the biggest value in s, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6386 + 6297 = -2*k - 5*q, 5*q - 86 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 8*x - 117610, h - 58800 = 38*x - 43*x. What is the ten thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19889*f - 79567. What is c(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3615 (base 16) to base 9\nAnswer: -20883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136.1 - -139.1. Which is the biggest value? (a) -3 (b) k (c) 0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (9 - (6574 - -13)).\nAnswer: 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5914 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 226.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = y - 71. Suppose 2*j + y = 5*j. Suppose -t - 10 = -j. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(272) + 2)**2.\nAnswer: 24*sqrt(17) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 4*i + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 4*h + 0*h = -22*h - 2660 for h.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 6*t + 6. Let z be s(-2). Let y be (z - 4)*-1 + -4. Does 9 divide (y + 1)\/(1\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 8*m - 5. Let x be o(-7). Suppose -x*q + 1 = -1. Let n be ((-5)\/3)\/((-1)\/(-3)). Sort -3, q, n in increasing order.\nAnswer: n, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -4*s + 2749. What is the common denominator of 121\/6 and ((-3)\/2)\/(120\/s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 161, -65, -291, -517, -743?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 - 6*t + 4. Let f(j) = -j**2 + 1. Let s(c) = -b(c) - 4*f(c). Suppose -2*v + 44 = 5*i, -39*i - 12 = -41*i. What is s(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 196 = -706. Suppose -1734 = -25*v + i. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/118 and -20\/531.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 1\/3*d**4 + 10*d**2 + 0 + 7\/6*d**3 + 0*d. Let w be (-4)\/(-2)*(105\/(-10))\/1. Let j(m) = -m - 1. Calculate w*j(n) - 3*h(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 187 = 3*p, 4*z - 153 = 2*p - 3*p. Suppose -2 = 4*s - z. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-35) + 25\/(-7). Let x be (c - -3) + 4 + -2. Are x and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -12. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 0 + 23 = -3*r + 1, -172*v - 12 = -2*r - 176*v for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, y: 1, n: 2, m: 1, k: 2, q: 2}. Give prob of picking 1 y and 1 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.3 - 61.3. Put d, 50, -0.1 in descending order.\nAnswer: 50, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011101 - -10011010011?\nAnswer: 110011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(495)*3)\/((-6*sqrt(135)\/sqrt(3))\/sqrt(9)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5729.627 millilitres to litres.\nAnswer: 5.729627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, p: 7, k: 1}. Give prob of sequence pk.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/16)\/((-3)\/6). What is the biggest value in 0.3, j, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 26 = -6*b. Let v(x) = -2*x - b*x + 0 + 1 - 10. Let l(k) = -7*k - 15. Let f(j) = -j - 1. Let q(s) = 2*f(s) + l(s). Give -6*q(h) + 11*v(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-38) + (-7931)\/9785?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -62. Let l be 8\/u + 432\/15. Suppose l*r - 60 = 25*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 - -33.4. Let y = s + -33. Which is smaller: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*u + 16 - 2, o = -5*u + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = 41. Suppose 28*g = 1409 - 821. What is the lowest common multiple of b and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - q = 13, -q - 10 = -g + 3*q. Is (6\/1)\/(g - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 24. Let h be (-16)\/b*9\/3. Let a be 2\/h - (-25)\/4. Solve 6*x - 4*x = a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 738 - 742 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -50\nAnswer: -49\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 2, 0.4134.\nAnswer: -5\/3, 0.4134, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 677 + 240 - 917.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 2.4. Let w = q - -1. Let k be ((-6)\/9)\/(28\/12). Which is the smallest value? (a) 1 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.222 + -3.222. Let s = -12.3 + 13. Let u = -0.7 - s. Put 4\/9, o, u in decreasing order.\nAnswer: 4\/9, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 2 - (373 - 376)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-33)*p**(-6)\/p*p**(-6)*p)\/(((p*p**(2\/19)\/p*p)\/(p*p*p**1))\/(p**(-3)\/p**0)) assuming p is positive.\nAnswer: p**(-249\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 959365*n**3 + 5*n - 5061383?\nAnswer: 2878095*n**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (306\/136)\/((-3)\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by -98148.\nAnswer: -65\/49074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.2 (c) -0.11 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5304964 divided by 28?\nAnswer: -189463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28609*a - 57229*a + 28620*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.41 - 0.41. Let r = -2.34 + -21.46. Let j = r + k. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnzz. What is prob of sequence nzzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 8577860*s + 180132855.\nAnswer: 5*(s + 21)*(s + 1715551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-7)*343\/147?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 y when four letters picked without replacement from {o: 4, y: 10}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17562 less than -12522022989?\nAnswer: -12522005427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01084735 rounded to five dps?\nAnswer: -0.01085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 43 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -192741.5 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k - 117 - 37 = -73 + 249 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/14)*b\/(b\/(b**(2\/5)\/b*b*b)*b))\/((b**(-1\/2)*b)\/b)**(2\/113) assuming b is positive.\nAnswer: b**(1539\/7910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 521126.3 millilitres?\nAnswer: 521.1263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -107. Differentiate 0*h - 2*h - 39 + 84*h**y + 194 - 36 wrt h.\nAnswer: 168*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -49, -79, -119, -175, -253, -359, -499?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*z = 0, 13912*s - 13911*s = 2*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/20 + x**4\/12 + x**3\/3 - x**2 - 2*x. Let c be t(0). Sort 0, 5, c in increasing order.\nAnswer: c, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 11. Let b(y) = -y**2 + 7*y + 10. Let k be b(w). Suppose 55 - 23 = k*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/3212199 and 31\/713822.\nAnswer: 6424398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -39 - 4\/4 - -2. Let h = l - -55. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567235342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.095 - -0.005. Let z = -1\/184 + 20059\/552. Let s = 1411\/39 - z. Which is the fourth smallest value? (a) 0.4 (b) s (c) y (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-42) - 6\/(-9). Let n = 8.1311 + -0.1311. Sort 5, n, q in decreasing order.\nAnswer: n, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(-1 + sqrt(19)) + -3)*-4*-1.\nAnswer: -48*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000092662 rounded to 6 dps?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 600. Let u(l) = 3*l - 328. Let y(m) = -6*d(m) - 11*u(m). Give y(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwfl when four letters picked without replacement from llwllwffwfflwl.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (18 + -4)*1\/2 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -53, -4, 3\/40, -4\/3 in decreasing order.\nAnswer: 3\/40, -4\/3, -4, -20, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25\/3, 2303, 5, 5.4 in increasing order.\nAnswer: -25\/3, -1, 5, 5.4, 2303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12852, 12853, 12854?\n\"Answer: t + 12851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {e: 1, u: 6, i: 5, k: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(135)\/sqrt(3)*-6)**2.\nAnswer: -9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8859870, 8859869, 8859868, 8859867?\nAnswer: 8859866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4104684311 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1562 and -35943\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 303191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.94687 + 0.05313. Which is the third biggest value? (a) y (b) 20 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 - -199. What is the remainder when r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/(q\/q**(-2)))\/q))*q\/(q*q**9)*q\/(q**(-3)\/q)*q*q**9)**40 assuming q is positive.\nAnswer: q**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t. Let n(y) = -37624*y**2. Determine o(n(i)).\nAnswer: -112872*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 20*y - 4*y**3 + y**2 - 18*y - 45*y + 113*y to the form n + c*y**2 + d*y**3 + t*y and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(5\/2 - 2). Suppose 3*n + 3*x = x - i, 4*x + 10 = -5*n. Does 5 divide -10*(9\/n)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 3325*w**2 + 573760*w - 6907940 = 0. Calculate w.\nAnswer: 13, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*g*r**3*t**3 + 5*g*r**3 - 3*g*r + 6*g*t**3 - 14*g*t + 2*r**3*t wrt r.\nAnswer: 42*g*r*t**3 + 30*g*r + 12*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -105. Calculate the remainder when 66 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6424 centimeters in millimeters?\nAnswer: 306.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 34*p**2 + 5249*p + 64170. What is m(-141)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 21 + -12 + -28 + (1 - -20)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235.41 + -232.41. Which is the nearest to -1? (a) l (b) -3 (c) -5.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -12066\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -179, 1 in increasing order.\nAnswer: -179, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967823 is divided by 322572.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 - 158. Let p = -31 - f. Is 0.15 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -39*p + 132. Calculate the greatest common factor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11651 divided by 1\nAnswer: -11651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67297?\nAnswer: 173, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1931777 to the nearest 1000.\nAnswer: -1932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 368*d**5\/5 - 2324*d**4\/5 - 21752*d**3\/5 - 39292*d**2\/5 - 2376*d + 8352\/5 = 0.\nAnswer: -3, -2, -1, 29\/92, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*6\/24*(-4)\/31\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -324. Suppose 43*n + 9468 = r*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**4\/4 + y**3 + 3*y - 1. Let g be n(3). Which is the third biggest value? (a) g (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let x = -75 - -74.69. Let d = 0.01 + x. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1254509860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 19 + -5 + -35.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-9\/7)*b*b)\/(b*b**9) assuming b is positive.\nAnswer: b**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.91 - -18. Let k = r + 0.01. Let u = 0.3 + 0.2. What is the second biggest value in -2\/7, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(170) - sqrt(170)*4 - sqrt(170)) + sqrt(170)))\/sqrt(10) + -2*(-3*sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 3*n**2 - n + 2. Let x be r(2). Let y(l) = -l + 11. What are the prime factors of y(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a + 12*a - 2*m - 22, -5*a = -3*m + 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1146428 or -1145752?\nAnswer: -1146428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 h when three letters picked without replacement from {n: 2, r: 1, h: 1, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 17*s - 42. Suppose i + 3477 = s*n + 6*i, 2*n = -3*i + 2318. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/1911 - 208\/5096?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*j = 2*j - 10, -4*c = -5*j - 21. Suppose -37 = -c*t - 1. What is the remainder when (-49)\/(-3) + (-4)\/(-6) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z + 10. Suppose 41 = -3*s + 5*l - 2, z = 3*s + 4*l. Let o(p) = p**2 - 10*p - 14. What are the prime factors of o(s)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(3\/12). Suppose -i*q - 1 = 1. Put -5, q, 3 in ascending order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/29))**40*(o**(-12)\/o)\/(((o**(-1\/9)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-2941\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27198 divided by -1097.\nAnswer: -27198\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + -61019.\nAnswer: -61019.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*f - 3*q, -20*q = 3*f - 18*q - 17. Let p(i) be the second derivative of 3\/2*i**f - 3\/2*i**2 - 32*i + 0 + 1\/12*i**4. Calculate p(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(3\/5)\/u*u)*(u*u\/(u**(2\/29)*u))\/u*u)**(24\/11))**(-1\/14))**(-15\/8) assuming u is positive.\nAnswer: u**(1521\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -153*s + 2. Let k be m(-2). Let z = -201 + k. Suppose 0 = -4*i - 3*l + z, i + i + 4*l - 46 = 0. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 4, 2\/13, -1.77675 in increasing order.\nAnswer: -4, -2, -1.77675, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 4*w**3 - 99 - 234.\nAnswer: 4*w**3 - 401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -1106, -1666, -2232, -2804, -3382?\nAnswer: -3966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 1 = 4*k, 0*q - 22 = 4*q - 5*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/1859?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001174426 rounded to 5 dps?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = 18. Let w(v) = v + 5. Let z be w(l). Let g be (2 - z\/1) + 0. Solve -4*x + 5*k = 15, x + 2 = -0*x + g*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 14) in base 11?\nAnswer: 23a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1379*s**3 - 13*s**2 + 26*s + 2650. Let y(r) = -230*r**3 + 2*r**2 - 4*r - 442. Let q(g) = -13*y(g) - 2*z(g). Differentiate q(v) with respect to v.\nAnswer: 696*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 5. Let q(v) = -4*v**2 - 1 + 1 + 2 + 2. Let a(k) = -5*p(k) - 6*q(k). What is b in a(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 5205575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 197043, 196898, 196753, 196608, 196463, 196318?\n\"Answer: -145*n + 197188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9918 and 16245.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 - 267. Which is the nearest to x? (a) -0.06 (b) -0.5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -4 + (60 - 54).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6310*d. Let n(s) be the first derivative of -s**2\/2 + 260. Calculate n(g(x)).\nAnswer: -6310*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 9*w + 11. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjuummjaw. Give prob of sequence uamm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 - 4*n + 9*n**3 + 4*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. Let b = -471\/8 + 59. Let w = 277 - 1936\/7. Sort w, b, f in ascending order.\nAnswer: f, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/45 + 16\/45. Let l(s) be the first derivative of -1 + 1\/3*s**2 + 0*s - 2\/9*s**3 - u*s**4. Determine p so that l(p) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1206.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79511 or -132?\nAnswer: 79511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2041, -4080, -6123, -8170, -10221, -12276, -14335?\n\"Answer: -2*y**2 - 2033*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 6*h**2 - 2*h + 3. Let q be u(6). Let m(z) = z**3 + 9*z**2 - 5*z + 7. Calculate the remainder when m(q) is divided by 70\/4 + 2\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 965 + -596. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r - 601 = -49 + 187 - 55 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*o + 67*o + 83 + 55*o)*(530*o - 3*o**2 - 530*o).\nAnswer: 6*o**3 - 249*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - -8 - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 5. Let m be f(-5). What is the third derivative of 27*l**2 - 7*l**m + 4*l**5 - 22*l**5 wrt l?\nAnswer: -1500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euw when three letters picked without replacement from {h: 5, u: 3, x: 2, v: 2, e: 1, w: 6}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 5)*(-20)\/(-3). Let m be 8\/k - (-6)\/(-15). Suppose y + 2*g - 10 = 0, -5*y + 3*y + 2*g - 10 = m. Solve -2*b + 8 = -y*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 18*h + 2. Let r be t(18). Let y be (22\/4)\/(r\/(-4)). Let l = y - -43. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 35. Let l be j(0). Let t = l - 32. Suppose m + 9 = n + t*m, 5*n = -m + 27. Solve q = -5*f + 7, n*f = 4*f - 5*q + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.76 + -11. Let q = w - 1.76606. Round q to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20198922 to the power of 1\/2, to the nearest integer?\nAnswer: 4494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 13*c - 106 + 34*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1868101127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)*2)\/sqrt(9) - sqrt(392)\/(sqrt(8)*1))\/(2*(6*sqrt(7)*1 - sqrt(7))*-6).\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 45. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9 + 5*x + x + 2 - 4*x. Let y be t(6). Suppose -20*a - 5 = -21*a. Is y greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine quarters of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2319*b**3 + 2*b**2 - b - 29662?\nAnswer: 6957*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239 or -10?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3\/4 + 3\/2*v**2 + 0*v**3 - 1\/4*v**4 = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x**2 - 80*x + 86. Let b be g(-7). What is the greatest common divisor of b and 27828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**3 - l**3 - l**3)*((-2*l + 5*l - 2*l)*(0 + 1 + 1) - 33 + 33 - 90*l) as b*l**2 + c + x*l + z*l**4 + m*l**3 and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15)\/((-2)\/(-2*1)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**3 + 150*j**3 - 12*j**3 - 33*j**3.\nAnswer: 87*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.586 - -0.116. Let h = 0.17 + k. Let m(x) = -x**3 - 2*x**2 + 3*x + 3. Let z be m(-2). Which is the nearest to 1? (a) -0.5 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - -13) - 1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*s**3 + 12 + 9*s**2 - 18*s = 0. Calculate s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -239, -236?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 161?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:19 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/11 - 38*p**2\/11 + 26*p\/11 + 2366\/11 = 0. Calculate p.\nAnswer: -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000198046213 rounded to six decimal places?\nAnswer: -0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-49))\/(103\/21 - 5). Let m(u) = 2*u**3 - 5*u**2 - 8*u - 5. Let h(d) = 2*d**3 - 6*d**2 - 9*d - 6. Give p*m(x) - 5*h(x).\nAnswer: 2*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 31*b + 15 = 0. Calculate the lowest common multiple of b and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 45 + -25 + 66 + (8 - -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(25)\/(sqrt(20)*5).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d - 3*d**2 - 2 - 172*d**2 + 87*d**2 + 72*d**2 - 2*d**2 + 2 - 2 + 0 - 2*d**2 + 0 + (-4 + 2*d + 4)*(d - 4*d + 2*d) + 0*d**2 - 2*d**2 + 3*d**2.\nAnswer: -21*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-298)\/4*(-2 - 0). Let n be -17*(44 + 14384\/(-272)). Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 53, -98, 0, 0.5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 - -254. Let p = 195\/4 - 49. Let j(f) = f**3 - 14*f**2 - 16*f + 11. Let m be j(15). What is the closest to p in m, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2 (c) 0.11 (d) 0.4 (e) -2\/7 (f) -2\/669\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115190*h**3*m**2 - 2*h**2*m**2 + 2*h**2 - 6*h + 4*m**2 wrt h.\nAnswer: -691140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than 4168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/264 + (-53)\/(415679\/(-155))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 225*t**3 + 7.\nAnswer: 225*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-510 + -5)\/(-5). Let a = w - -228. Let p be -4 - (a\/(-15) - (-4)\/20). Put 5, -3, p, -7 in descending order.\nAnswer: 5, p, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*o**3 + 11*a**3*o**2 - 4*a**3*o + 5*a**2*o**3 + a*o**3 - 66*a*o - 2*a - 659*o**3 wrt o.\nAnswer: -6*a**3 + 30*a**2 + 6*a - 3954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53b0 (base 13) to base 2.\nAnswer: 10110101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 33 = -5*u, 3 = 3*u - 5*s - 2. Suppose -10*w = -u*w. Which is smaller: 3\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025872 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 14. Suppose l*a + 6*a - 12 = 0. Suppose -3*w + 145 = -5*v, -51 = -w + v + a*v. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, 3, -2, 10 in decreasing order.\nAnswer: 10, 3, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 11 + (-3 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/689 and 6\/9699313?\nAnswer: 514063589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8726, -34773, -78186, -138965, -217110?\n\"Answer: -8683*h**2 + 2*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 32 and 72 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4 + g**3 + g**2 + g - 21. Is 19 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -1\/11 (c) -5\/76 (d) -1\/3 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a*a\/a**(2\/5)*a)\/(a**(-8)*a**(-2\/17)*a))**33 assuming a is positive.\nAnswer: a**(21648\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 0 + 16 = i*l. Suppose 0 = -u + l + 7. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85525215.\nAnswer: 3, 5, 17, 109, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -11. Let d = 80 + 130. Let l be (6\/(-30))\/((-6)\/d). Solve 27 = 3*h - l*z + 2*z, 4*h = -t*z + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*-5008.\nAnswer: 9515.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2199307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1683129.78759 and -0.1?\nAnswer: 1683129.68759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 6 - -5 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, m: 2, d: 1, n: 2}. Give prob of sequence zndz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from {o: 4, b: 2, x: 4, v: 5, a: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 2672*x - 335210. Give n(-108).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-6) - (-35 - -32). What is the closest to -0.1 in 3, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 8*g - 10. Determine c(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000511155 rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(-37))**(2\/73)\/(((k\/k**0*k)\/k)**8*k**3\/(k\/((k*(k\/(((k*k\/((k\/((k\/(k*k**(-2\/7)*k))\/k))\/k))\/k*k)\/k))\/k)\/k))) assuming k is positive.\nAnswer: k**(-26339\/2555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58476.\nAnswer: 2, 3, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13443040 divided by 25852.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -28. What is the second derivative of -10*x + 3*x**2 + r*x + x**2 + x**2 wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 18*d - 18. Suppose 22 - 4 = d*s. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 55\/100*5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, -2, 3\/8 in ascending order.\nAnswer: -2, 3\/8, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (718 - 58*h**2 - 718 + 0*h**2 + 2*h**2 - h**2 - 2*h + 2*h + h**2 + (-1 - 2 + 2)*(4*h**2 - h**2 - 4*h**2))*(-3 + 5 - 4).\nAnswer: 110*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*h - 6*c + c, -4*c - 20 = 0. Let m = 5094 - 5087. Solve 4*r - h*w = -m*w + 2, -r - 5*w = 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.01 (b) -261 (c) -2\/23 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/22 + -1\/2. Which is the closest to -0.1? (a) 1\/2 (b) w (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38148 is divided by 243?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/72 and -137\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 108.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28792668 by 7198167.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56.4 + -36. Let i = -20 + f. What is the biggest value in -2\/3, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68039734 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -5\/8, 0.4, -254, -3 in decreasing order.\nAnswer: 1, 0.4, -5\/8, -3, -5, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704891 >= 4704890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 - 14*z**3 + 3*z**3. Let d(c) be the third derivative of c**6\/24 - 7*c**2. Give -7*d(v) - 2*j(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 1 - 1)*(-3 + 2 - 1) + 2*t - 4*t + 4*t + t + 0*t + 3*t)*(5 - 5 + 4*t).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:13 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 984 - 984 - k. Suppose 4*b - 14 = -2*i, 2*b = -2*i + 4*b + 14. Let u(w) = -7*w - 7. Let q(o) = 7*o + 6. Let d(s) = i*q(s) + 6*u(s). Give n(d(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 919655.1 grams?\nAnswer: 919655100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1169*b - 175*b - 343*b + 972*b - 1 + 1.\nAnswer: 1623*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28208 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 232454?\nAnswer: 232503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (-1 + sqrt(1900))**2 + -4 + -1*sqrt(1900) + sqrt(1900) + -1*((sqrt(1900) - (sqrt(1900) + 0)) + sqrt(1900))**2*-6)*2.\nAnswer: -40*sqrt(19) + 26590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 + 16*a**4 + 14*a**3 - 16*a**2 - 15*a.\nAnswer: a*(a - 1)*(a + 1)**2*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1097 - 264 = -241*h + 3218. Sort h, 8, 2, 3, -2 in increasing order.\nAnswer: -2, 2, 3, 8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 180. What is the greatest common factor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -59*x**3 - 18*x**2 - 3*x. Let o(q) = -120*q**3 - 36*q**2 - 5*q. Let t(k) = 5*n(k) - 3*o(k). What is the third derivative of t(d) wrt d?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40, 394, 1394, 3358, 6604, 11450?\n\"Answer: 53*a**3 + 5*a**2 - 32*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {t: 1, c: 3, b: 2, o: 6}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w + 18. Let t be (w\/14)\/(2\/(2 - -6)). Factor -6*u**3 - 4*u + 17*u**2 - 2*u**4 + 2*u**3 + u**3 + u**5 - 9*u**t.\nAnswer: u*(u - 2)*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1206, 2381, 3522, 4629, 5702?\n\"Answer: -17*b**2 + 1226*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let j(h) = 44 - 3 - 27 + 48*h - 9. What is a(j(c))?\nAnswer: -48*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 8*k + 12. Let d be n(9). Suppose d = p + 1. Is 34\/(p + (-24)\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(-47))**44\/((k**(-1)*k)**(10\/3))**(-4\/7) assuming k is positive.\nAnswer: k**(-4136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 66*x - 895. Calculate the remainder when 1448 is divided by q(-13).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 284*z = 282*z + 7730, -5*a = 5*z - 9650. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 (base 11) in base 10?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/22)\/(1 + 13\/(-14)). Suppose -2*r = -113 - 179. Suppose r = i*h - 36. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2200 - 1194. Let u = s + -759. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + d - 10. Let y(n) = -3*n**2 + n - 9. What is -4*c(g) + 3*y(g)?\nAnswer: -g**2 - g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759780 is divided by 189934.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -236827500 divided by -9716\nAnswer: 24375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/75 - (-3 - -1))*10\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 3*h - 4. Let w be z(5). Let d = -169 + 1013\/6. Let x = 1\/7 - 9\/14. Which is the biggest value? (a) x (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/7)\/((-12)\/(-14)). Let m = 2086782 + -43844344\/21. Let f = 1044 + m. Which is the nearest to o? (a) f (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 650 - 33 - 617.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 34*q. Let l(g) = 45*g. Determine r(l(p)).\nAnswer: 1530*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462 divided by -84476.\nAnswer: -33\/6034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 44983, 3 in increasing order.\nAnswer: 2, 3, 44983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s. Let p(h) = -h**2 + 24*h. Determine p(g(j)).\nAnswer: -16*j**2 - 96*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1902576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 5*l - 11, 2*z + 2*l - 43 = -3*l. Let k(v) = z*v + 0*v - 7*v. Let q(h) = -3*h. Determine k(q(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y + 12. Let a = 3 + y. Let j(w) = w**2 - 2*w + 2. Let n be j(4). What is the greatest common divisor of n and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 62 = 2*a - 8, -5*p - 4*a - 9 = -3*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 + -11.76. Let u = d - -11.6. What is the nearest to -2\/3 in 5, 2\/11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*l**3\/7 + 1176880*l**2\/7 - 84062*l + 73554\/7.\nAnswer: -2*(l - 36777)*(4*l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-8)*130\/(-15). Let k(b) = b**3 + 12*b**2 - 13*b + 5. Let v be k(c). Suppose -a + 207 = 3*o + a, -v*a + 56 = o. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*1\/(-3) + 4. Suppose -q*c + 8 = -5*z - 17, -4*z - 4 = -2*c. Is 7 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r**3 + 43*r**2 - 31*r + 2.\nAnswer: -(r - 2)*(r - 1)*(14*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*l - 2 + 1, 11 = -p + 5*l. Suppose -3*y = p*y + 73500. Round y to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -54.2896 + -912757.\nAnswer: -912811.2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09247 and 1541452752.\nAnswer: 1541452751.90753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 604 and 1456.\nAnswer: 219856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 267765 + 22730. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d. Let u be 3\/(-2 + 3 + d). Suppose -u*r = -6*r + 36. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103232901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6577599.47 + 6577553.7699769. Let n = 45.7 + v. What is n rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(2 - (0 - -3)). Let o = 2 + l. Suppose -w + 6*w - 50 = o. Calculate the greatest common divisor of 90 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 1. Let z be l(-1). Let j = z + -9. Let o = 13.12 - 13.12. Which is the biggest value? (a) o (b) j (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061932 to 4 dps.\nAnswer: -0.0619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:31 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 12*v + 12, 5*v = -2*m + 294. Let x = m + -118. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtge when four letters picked without replacement from {v: 1, e: 2, t: 6, g: 4}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.016, -3, 0.1, -2\/127?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48024.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-315) + ((-4)\/(-10))\/(27\/119220) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (19\/2)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7229*d**2. Let b(q) = -8*q**2 - 4. Give b(z(n)).\nAnswer: -418067528*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1526789696 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59609927 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6 = -3*z. Suppose -5*n = -n + 44. Let p = -7 - n. What is the smallest common multiple of p and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 835.2 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 200*j**3 + 804*j**3 + 178*j**3 + (-3*j**2 + j**2 + 0*j**2)*(2 - j - 2) - 2*j**3 + 4*j**3 + 0*j**3 to v*j**2 + g + p*j**3 + d*j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 441834 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 + 131. Let j be ((-9556)\/(-38) - 2) + v. Let p = j - 250. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/3552 and 7\/1776.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 386384 = 143446. Is 11 a factor of -1*(3\/27 + f\/90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -52. Suppose 2*j + 3*y = 3*j + k, 12 = -4*j + y. Sort 2, 0, -4, j in decreasing order.\nAnswer: 2, 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 0.072, -4, 1\/6.\nAnswer: -4, -2, 0.072, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -1\/15, 0.13, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.24, 0.13, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -68*d + 154. Let t(a) = 22*a - 51. Let v(f) = 3*j(f) + 8*t(f). What is the remainder when v(-6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384374?\nAnswer: 2, 192187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1029883904 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*g - 2388 = -228*g + 720 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297\/5846 + 3019929\/584600. Let g = -13\/50 - l. Calculate the common denominator of g and 39\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-9 - 0) - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 2*i**2 + 2*i. Let k be t(-2). Let g be 15\/6 + 3\/(36\/(-6)). Factor v**2 - k*v + g*v + 3*v.\nAnswer: v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5)*x)\/(x**(3\/5)*x)*((x*x**(-3))\/x)**(-27) assuming x is positive.\nAnswer: x**(382\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-24) - 1188\/(-891)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5700.329l to millilitres.\nAnswer: 5700329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -3\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -10100111110101?\nAnswer: -10100111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 4. Determine p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w**(-1\/7)\/w*w)\/w*w))\/w*(w**(5\/4)*w)\/w*w)**18 assuming w is positive.\nAnswer: w**(855\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3278271 tonnes to micrograms.\nAnswer: 327827100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 s when four letters picked without replacement from {q: 2, j: 1, s: 7, v: 4}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 2:56 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.326 - -8.326. Let f = 44 + -41. Let q = -0.2 + -1.8. What is the nearest to q in -2\/9, i, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**2 - 2*f**2 + 0*f**2)*(-f - 1 + 1) + (0*f**2 + 3*f**2 - 4*f**2)*(0*f - f - 10*f) to w*f**2 + u*f + i + s*f**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaz when three letters picked without replacement from gzggegar.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = 42. Let h be 2\/(-8) + i\/8. Let k = -27 - -26.9. What is the third biggest value in k, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, h: 1, s: 1, p: 2, m: 8, k: 1}. What is prob of picking 2 p and 1 m?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 158*d - 501. Let s(x) = -2*x**2 - 95*x - 334. Let c(f) = 5*h(f) - 8*s(f). Calculate c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*p**6 + 5*p**2 - 13 wrt p?\nAnswer: 11760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = 4*u + 4*y - 895, u - 358 = -2*y. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*g**2 + 46 - 34*g**2 + 78*g**2 - 39*g - 10.\nAnswer: 3*(g - 12)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 1:29 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minus 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2144 (base 6) to base 12\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.37 - 1.37. Let n = -15693 - -15697. What is the closest to k in -1, 0.02, -2\/11, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -2. Let h be -184 + v\/(-6)*6. Is (20\/(-6))\/(5\/h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 0*y + y + (3*y - y - 4*y)*(1 + 1 + 0) - 3*y + 5*y - 4*y + 3 - 3 + 3*y + (-2*y + 0*y + 0*y)*(-3 - 2 + 4).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/(-1 - 42\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 10. Let z(b) = -14*b + 29. Let d(u) = 11*m(u) + 4*z(u). Let o(n) be the third derivative of -n**4\/8 + 17*n**3\/6 + n**2. Give -11*d(i) + 4*o(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2*h**5 + 175*h**4\/4 + 8*h**3\/3 + 3*h**2\/2 + 15*h + 6279. Find the third derivative of c(l) wrt l.\nAnswer: 240*l + 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = -42 + 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(36)\/(-5*sqrt(48)\/sqrt(4))*-5 + (sqrt(42)\/sqrt(2)*4)\/(1*sqrt(448)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 198*-66.98\nAnswer: -13262.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:44 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -114, -172, -230, -288, -346?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.747203ml in litres?\nAnswer: 0.005747203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 398, 794, 1348, 2060?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14*m - 30 = 11*m, -3*i + 28 = 2*m. Let b be 11\/(132\/i) + (-100)\/15. Let w(c) = c + 7. Give w(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/49*(-7)\/(-1). Let p = m + 6. Which is the nearest to p? (a) 3 (b) -2\/11 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/148 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*i**2*s**3 + 1237*i**2*s**2 - 25*i**2*s - 846*i*s**3 - 18*i*s**2 - i*s + 2*s**3 - 2*s**2 + 3 wrt i?\nAnswer: 34*s**3 + 2474*s**2 - 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - ((-3 - -2) + 4)) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 7*h + 354 = 430, -2*h = k - 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t - 25. Let s be u(0). Let w be (s\/(-10))\/(1\/(-2)). Let i = 12 - w. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2, 15, 1795 in descending order.\nAnswer: 1795, 15, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:01 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 12876*z\/7.\nAnswer: -3*z*(z + 4292)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 1. Let l(q) = 3*q**2 + 9*q + 13. Let j(a) = 4*l(a) + 36*z(a). Differentiate j(k) with respect to k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 4*r + 1. Let b(f) = 8*f**2 - 4*f. Let u be b(2). Suppose -5*o = t, 5*t - 6*o + 7*o + u = 0. What is p(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339615*w**2 - 212362*w?\nAnswer: -679230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0981 and -882.\nAnswer: -86.5242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 + 6*x - 10. Let l be d(-7). Let u = 2 - l. Suppose 4*w - 3*b - 44 = 0, -3*b + 7 + u = 0. Solve 5*c - 1 = w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(2\/1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/6)\/(8\/24). Solve -u*h + 6 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x - 2*x + 54 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29604 or -29393?\nAnswer: -29604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/30 and 7\/425.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**7\/2520 - d**4\/24 + 2*d**2. Let y(l) be the second derivative of h(l). Let r(o) = o - 3*o + 0*o + 3*o. Determine y(r(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378730, -757671, -1136622, -1515589, -1894578, -2273595, -2652646?\nAnswer: -3031737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-15)*60\/24. Let g(k) be the second derivative of 0 + 4*k + 0*k**2 - 1\/2*k**4 - s*k**3 - 3\/20*k**5. Determine b, given that g(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1512458 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s. Let q be h(-1). Let p be 78\/(-45) - 546\/(-390). Which is the closest to p? (a) 2\/3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 120. Calculate the remainder when 93 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393884 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38.41 and -2298.\nAnswer: 88266.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 60. Solve 3*y + 19 = -2*w, -11 = u*y + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 11 - 15. Let d(q) = -307*q - 15. What is the units digit of d(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 232, 233, 234, 235?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u**3 + u**2 + u. Let i(d) = 2*d - 13. Let v be i(6). Give b(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 127. Let u(g) = g + 190. Determine 7*f(j) + 5*u(j).\nAnswer: -2*j + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 307 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 29*l**2 + 11*l. What is the lowest common multiple of 562 and s(-1)?\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 39 = 0. Let k be (x\/(-9))\/((-3)\/9). What is the units digit of (-3 + 4)*k\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/9151 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234814 - 2610420 = -22038*g + 70612 for g.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 2 t when four letters picked without replacement from kttkkkttkkkmk?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28404271 to the power of 1\/2, to the nearest integer?\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/6 - 207*m**3 - 384397*m**2\/6 + 128754*m - 193442\/3 = 0. Calculate m.\nAnswer: -622, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Let y = -109 - -114. Solve -4*h + c + y = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007*v**3 - 4*v + 4*v - 1014*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1424)\/10 - 6\/10. Let w = g - -161. Calculate the remainder when 74 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**6 + 672*k + 58*k**3 + 2*k**2 - k**6 + 2*k**6 - 772*k wrt k?\nAnswer: -120*k**3 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369294 is divided by 168.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 12*w**2 - 12*w + 26. Let s = -24049 - -24060. What is j(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -397 (b) 21 (c) -0.5 (d) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7029 (base 12) in base 13?\nAnswer: -56a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - 0.6. Let j = o - -0.9. Let g = 0.6 + j. What is the closest to 1 in g, 1\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73361 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844 != 3845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from soossooookkossok. What is prob of picking 1 k and 2 o?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 6. Let v be (18\/(-8))\/((-27)\/(-144)). Let w be (-2 + 4)*(-30)\/v. What is the units digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 78. Which is the second biggest value? (a) 4 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106211 + 165?\nAnswer: -1106013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 30056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -862.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 5:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, 0.04, -3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1927, -1922, -1917, -1912?\n\"Answer: 5*y - 1932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -173? (a) -4 (b) -5 (c) 0 (d) 185\/9 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*k + 12, 5*k + 2*v + v = 9. Suppose -2*d - 2*d + 364 = k. Let s = d - 55. What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 19.\nAnswer: -93\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 - 186*v + 70*v - 4.\nAnswer: -116*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -45861*l**2. Let x(c) = -3*c. Give r(x(i)).\nAnswer: -412749*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwgw. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 10. Let w(x) = 5*x + 20. Suppose 5*l + 9 = 2*l. Let j(u) = l*w(u) - 7*v(u). What are the prime factors of j(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*c + 16, 3*c - 12 = -3. Suppose 3*u - 2 = 4, u = -d*f + 77. Suppose 2*s = -3*z - f + 61, -5*s + 110 = 5*z. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*s - 7385104 = -1379104, 0 = s. Round i to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2. Let b(t) = -3*t**3 - 4. Let p(g) = -b(g) + l(g). Calculate p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713601.\nAnswer: 1713601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 508558289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 3*k)*(10*k + 138 - 138)*(0 + 0 - 1).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177962 is divided by 390576?\nAnswer: 6234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2014812 divided by -9\nAnswer: -223868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v + 0 + 33 + v**2 + 21 - 6*v. Let x be z(15). Let w be (x\/2)\/((-3)\/(-2)). What is the greatest common factor of w and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*r = r + 20, -15 = -4*s + 3*r. Suppose 3*o + 3*o - 138 = s. Let q = 35 - o. Solve 3*c - 15 = 3*z, -q = c - 4*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303 + -302.94. Let w = 1.94 + v. Put w, -5\/13, 0.5 in ascending order.\nAnswer: -5\/13, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 8*z**2 + z + 2. Let v be k(8). Let i be (v\/(-20))\/((-1)\/6). Let r be -3 + -1*(-16 - i). Solve 2*m + 2*m + r = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+10624\nAnswer: 10623.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-8) + (-2)\/(-4). Let j(y) = -y**3 + 27*y + 8. Let g be j(0). Solve q - 4*b = g, 4*b - v + 2 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134 divided by -81?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/7, -2\/1235, 2, 13.\nAnswer: -2\/7, -0.1, -2\/1235, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:21 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - -23. Let f = 445\/9 - x. Factor -2\/9*b**4 + f*b**2 + 0*b + 0*b**3 - 2\/9.\nAnswer: -2*(b - 1)**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**2 - 4*a**2 + 2*a**2)*(-4 + 1 + 4) + 0*a**2 - 3*a**2 + 0*a**2)*(6*a + 39*a + 32*a)*(-2 - 1 + 2).\nAnswer: 385*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*l**2 + 42*l**2 + 70*l**2 + (-1 + 3 - 1)*(-37*l**2 - 18*l + 18*l).\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -373? (a) 0.1 (b) 5 (c) 2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837.53*-4.\nAnswer: -3350.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 62 - 44 + 2*m in the form p*m + a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(27))*-6.\nAnswer: -18*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374519 greater than or equal to 398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let i be 1 - 6\/w - (12 + -15). Let d(r) = 9*r - 11. Let l(v) = v - 2. Let o(n) = d(n) - 6*l(n). Determine o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.33352 rounded to zero dps?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-49)\/(-14))\/(2\/(-8)). Let u = 5 - b. Let l = 33 - u. Calculate the greatest common factor of 70 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-57) + (-8)\/6. Suppose -2*d + d - d = q. Solve -4*a + 5*n + 13 = 0, 5*a - 2*n - 12 = -d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, n: 5}. Give prob of sequence yn.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 381.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 q when four letters picked without replacement from syyssppyqpj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/12 - 2*(-2)\/16. Let q(v) be the first derivative of 0*v**2 + 4*v - 4 + x*v**3. What is the derivative of q(u) wrt u?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/4 - 12601*h**2\/4 + 760835*h\/2 + 2395968 = 0. Calculate h.\nAnswer: -6, 128, 12479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - 20.23. Let g = -19.9 - j. Which is the third biggest value? (a) 1 (b) 1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -102*b - 792. Give o(2).\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 2*x - 4. Let w be i(3). Let h be 2 + (-15)\/8 - 95046\/12848. Is h less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 14*g**2 + g - 13. Let c be q(14). Let p be (((-6)\/(-59))\/(-3))\/(-1). Let t = p + 230\/177. Is t less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 9:13 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 15*i - 7 = -z, z - 15 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:18 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q + 5. Let y be j(-5). Suppose -y*i = k - 6, -2*i + 11 + 9 = -4*k. Let t = 6 - k. What is the highest common divisor of t and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2871 and 3566 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-70) + 288\/20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n. Solve n = -w + 2*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98391*v**4 - 1 - 2*v**2 + v + v**3 - 95992*v**4 + 0 as r*v**2 + b*v**3 + z*v**4 + o*v + d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwp when three letters picked without replacement from {p: 3, v: 4, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 40*u**2 - 3 - 2 + u - 39*u**2. Let x be m(-4). Let q(y) = y**2 - 10*y + 7. Determine q(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14284*m**3 - 40805.\nAnswer: -42852*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-2 - 0))*0. Solve 4*p - 3*z + 22 = 0, d = -2*p + 2*z + 3*z - 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**4\/24 - i**3 + i**2. Let t be u(0). Let f = t - -10. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n + 1. Let z(s) = 6*s. What is 3*m(f) - 5*z(f)?\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -408\/25 + 7203\/400. Let z = 6146 - 135237\/22. What is the common denominator of z and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - b. Let f be i(1). Let q = -16.214 + 16.214. What is the third biggest value in -3, -2\/3, f, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1422888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 90, 313, 750, 1473, 2554, 4065?\nAnswer: 6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*b + 0 = -1, 2*a + 5*b = -11. Suppose -a*j + 1 = -9. Factor -1\/4*o + 0 + 1\/2*o**4 + 1\/4*o**j + 0*o**3 - 1\/2*o**2.\nAnswer: o*(o - 1)*(o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60324.\nAnswer: 2, 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(425) - -1*sqrt(425)) - ((sqrt(425) + sqrt(425) + 2)*3 + sqrt(425)))**2*-6.\nAnswer: -63900 - 1500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89236612?\nAnswer: 2, 22309153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 2187512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44.85 and 0.55463?\nAnswer: 44.29537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from mcmpfcmcpcocbccoc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -77. Let x = -21 + c. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 108120.5 centimeters?\nAnswer: 1081205000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 573184 by -2239.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.14 millimeters in micrometers?\nAnswer: 683140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhhy. What is prob of sequence yh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288*l + 1657*l - 173755 = 0 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-15)\/(1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 6 - (-48 - (-2 - -17)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -710 + 712. Suppose 0 = 2*r - 0*r + 4. Let v be (1*r - -3)*-1. Put v, 4, f in descending order.\nAnswer: 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*f**2 - 68*f**2 + 0*f + 2*f as k + p*f + y*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/((-10)\/(-4)) + 1148\/560 and 103\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 1. Let k be m(-1). Let q(c) = -c**3 - 5*c**2 + 6*c + 2. Let y be q(-6). Find the first derivative of 2*u - y*u**2 - k - u - u wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**8\/a)*a**7)\/(a**(1\/21)\/a**(14\/9)) assuming a is positive.\nAnswer: a**(158\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 4*w + 20, 11*x + 1052 = -w + 1034 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(48\/4 + 9095\/(-765)). Suppose 5*y = 4*n - 97, 3 = -n - 3*y + 23. Let j(v) = -n*v + 4 - 1 + 18*v - v**2. Determine j(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4))**(-15)*(x*(x\/x**(-19))\/x)\/(x\/x**(2\/39)) assuming x is positive.\nAnswer: x**(2498\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 0.5 (c) 824 (d) 3\/10 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8683081*a**2 - 701592*a wrt a.\nAnswer: -17366162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 532291?\nAnswer: 532291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4*sqrt(45)\/(sqrt(54)\/sqrt(6)))**2 - (-2 + -2*sqrt(5)*-1)**2).\nAnswer: 8*sqrt(5) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1384 and -33\/13840.\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -w + h, 3*w + 32*h - 37*h = -21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74863 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 + 382*w + 3417. What is y(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(8) + 0)) + sqrt(2) + (sqrt(14)*-1)\/sqrt(7))**2 + 3 + (sqrt(22) - (2*sqrt(550) + sqrt(22)))\/(sqrt(11) - (sqrt(1331) + sqrt(1331)*-1)).\nAnswer: -10*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -561158*a**3*s + 59*a*s - 1245*s + 1 wrt a?\nAnswer: -3366948*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 2, x: 1, m: 2}. What is prob of sequence mx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 + 111896*m + 15650893520.\nAnswer: (m + 279740)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -13. Let d = x + -10. Solve -3*s = -4*t - 8, -4*t - t - d = -5*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y. Calculate j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24211.8 centuries to months.\nAnswer: 29054160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253366 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: What is the square root of 398649204 to the nearest integer?\nAnswer: 19966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558933961 and 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 - 229. Sort h, 46, 5, -1 in increasing order.\nAnswer: h, -1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5751, 42536, 142389, 336846, 657443, 1135716, 1803201?\nAnswer: 2691434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + y**2\/2 - 2*y - 1. Factor w(u).\nAnswer: -(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 6. Let d be ((-10)\/b)\/((-2)\/6). Let m be (-1)\/(-1*(-1)\/1). Sort -3, d, m.\nAnswer: d, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, h: 2}. What is prob of sequence oo?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*h - 32 + 10, -2*h + 26 = -2*d. What is the second derivative of 6*u**5 - 2*u**5 + h*u - 3*u**5 wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v = 74 + 34 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*l + 182*l + 2718 + 1302 = -201*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 7*m - 3*m - 15947 + 15943, -3*m + 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*a, 5*p + 2329*a - 2325*a - 13 = 0. Is p <= -11\/710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4648291, -4648270, -4648249, -4648228, -4648207?\n\"Answer: 21*j - 4648312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 2*t + 7\/2*t**2 - 1\/3*t**3 - 2. Calculate z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 794 - 517. Suppose 0 = -3*t + t + 4*y + 586, -t = 2*y - d. What are the prime factors of t?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*g + 38297 = -442*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910.8574 milligrams to nanograms.\nAnswer: 910857400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8096, -16346, -24832, -33554, -42512?\n\"Answer: -118*y**2 - 7896*y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t**3 - 73*t**3 + 234*t**3 - 94*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 701927767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 5*o - 16, 0 = 3*q - 2*o - 3*o - 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 770160997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 13*m**2 - 8*m + 30. Determine j(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-256)\/(-12))\/(1\/3). Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108832\/183 - 36074\/61. Let -168 + 2\/3*n**3 - 32*n + o*n**2 = 0. What is n?\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 96*q**2 - 480*q - 3328.\nAnswer: 2*(q - 8)*(q + 4)*(q + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -5.72293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10*r - 470. What is the lowest common multiple of (-1152)\/(-63) - (-18)\/(-63) and r?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 1, -66?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpgpfpfupffpuappffpb. Give prob of picking 1 g and 1 u.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 12. Let t = j + -6. Let l(s) = 11*s. What is l(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2616 in 0.3, -4\/7, -0.5, -1\/3, 1239?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412*a**2*k**3*o**2 - 2*a*k**2*o**2 + 7*a - 7*k**3 wrt a?\nAnswer: -824*k**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -2.47\nAnswer: 22.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -1 - (-2337 - -2335)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27785 divided by 7452?\nAnswer: 27785\/7452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-2)\/(-18)). Suppose -o = -n*w - 1, 5*o + 6*w - w - 25 = 0. Suppose 6 = o*b + 5*f, -5*b - 3*f = 2*f - 10. Solve 6 = -2*m - b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1274 divide 759069584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35765262 divided by 6.\nAnswer: 5960877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 5:32 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2. Let v be c(1). Let k = v + -8. What is the third derivative of -2*r**2 + r**2 + 2*r**2 - r**k wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -680 - -60.5. What is n rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 0.35 in decreasing order.\nAnswer: 0.35, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 44183656*z**3 + 122012216095396*z**2.\nAnswer: 4*z**2*(z + 5522957)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126755 (base 11) to base 12.\nAnswer: 97362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -491.425 take away -14.8?\nAnswer: -476.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -35, -4.\nAnswer: -35, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 656876489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -3.912\nAnswer: -2.3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*s + 8*s = -169, -i - s = -189. Suppose -i = -23*n + 15*n. Solve -5*h - q = n, 3*h + 15 = -0*h - q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 4:05 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/60 + 3*r**5\/20 + 8*r**2. What is the third derivative of z(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**3\/3 - 11*d**2\/2 - 23*d + 14. Let t be a(-7). Calculate the greatest common divisor of t and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/20)\/d**28 assuming d is positive.\nAnswer: d**(-563\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqkllkqqgklgkllykkw. Give prob of sequence lw.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 - 27 - 9*f**4 + 11 wrt f?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -330 + 332. Solve -10 + 87*m**2 + 144*m**2 - 25*m + 29*m**t = 0.\nAnswer: -2\/13, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 15 - -13 - -32.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-279642)\/(-18) + (0 - 1\/(-3)). Suppose 24*o - p = 1912. List the prime factors of o.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxq when three letters picked without replacement from xxqooooxxoxxoxoxxxxx?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 - 2*n**3\/3 + n - 7. Let y be w(1). Solve -h + 4*r + 3 = -9, -4*r - 16 = y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + m + 325 = 2*m, 2*m + 340 = h. Is 110 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5041506516.\nAnswer: 2, 3, 521, 806383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579.829 grams in micrograms?\nAnswer: 3579829000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12471.82 weeks to seconds.\nAnswer: 7542956736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 629595067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -248235.2?\nAnswer: 248239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/24 - v**2. Let m(b) be the third derivative of b**5\/5 + 67*b**2. Determine m(t(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-422)\/84 - -5). Suppose 0 = 6*m + 9 + j. Which is the fourth smallest value? (a) m (b) -9\/5 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(27)*-2).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 - 77*g - 151. Let k(d) = 2*d**2 + 51*d + 96. Let u(b) = -8*k(b) - 5*s(b). Calculate u(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1018650 to the nearest ten thousand.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 + 10\/(-8). Let r = 7 - 7. Let d be b + 7700001 + r\/2. What is d rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -0*j. Let z(p) = 6*p**2 + 6*p**j - 8*p**2. Let y(d) be the third derivative of d**5\/30 + 3*d**2. What is z(y(t))?\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -4253\/349?\nAnswer: -4253\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300707?\nAnswer: 11, 27337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 245 (b) -121 (c) -1725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712532776?\nAnswer: 2, 251, 354847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*s**4 + 3\/4*s**2 + 1\/4*s - 1\/2 - 1\/4*s**3.\nAnswer: -(s - 1)**2*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 6 - (-2 - 0). Let s be (-16)\/(-12)*3\/8. Let -s*k**4 + m*k**2 - 2*k + 0 + 3\/2*k**3 = 0. Calculate k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -4*r - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**3*j - 141*a**3 + 26*a**2 + a - 144019*j wrt a.\nAnswer: 66*a*j - 846*a + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 3*h - 13. What is the remainder when 98 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7596927 nanometers to micrometers.\nAnswer: 0.0007596927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/21)*h)**(-9\/5))**(-25))**(2\/3) assuming h is positive.\nAnswer: h**(400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 76*u**2 + 403*u + 463. Determine l(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {w: 3, c: 3, r: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 4*m**2 - 2*m**2 + (3 - 3 - 4)*(10074*m - 478*m**2 - 10074*m) + 1 + 3*m**2 + 6 - 5*m**2 in the form r + l*m**2 + g*m and give l.\nAnswer: 1911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205929 and 75575943.\nAnswer: 75575943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 11. Let s(z) be the first derivative of z**4 + 2*z**2 + 5*z - 8. Let i(x) = -9*x**3 - 9*x - 11. Give k*i(a) - 13*s(a).\nAnswer: 2*a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcbggcgc. What is prob of picking 1 g and 3 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 1032*g - 1026*g - 36 = -3*w, -g + 42 = 5*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839506 is divided by 459808?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - f - 12 + 5 - 10*f**2 - 2*f**2 - 2*f**2 - f**2 - 7*f**2 + 2*f**2 + 3*f**2 + (-1 + 4 - 4)*(-6*f**2 + f**2 + 4*f**2).\nAnswer: -16*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 3. Let p be s(-2). Suppose 34*c - 49*c + 30 = 0. Let k(i) = c - 3 + 13 + 2*i - p*i. What is k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*x - 17. What is the remainder when 1 - (4\/10 - 426\/15) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115684 + -115688. Let n = -125 + 877\/7. Which is the fourth biggest value? (a) n (b) u (c) -3.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12440 - 5?\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 166, 387, 692, 1081, 1554, 2111, 2752?\n\"Answer: 42*h**2 + 95*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (91330\/6)\/((-220)\/(-66) + -3)?\nAnswer: 5, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(2240\/1872)*28\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**4*f)))**(-15)\/(f**(-10)\/f**(-1\/3)) assuming f is positive.\nAnswer: f**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*o - 337*o + 101*o - 154 - 491 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1115 - -1434. Solve -9*j = -283 + l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, d: 3, y: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6511 + 8*d + 8*d + 6429 + 4*d. Determine j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-84) - 7)\/((-2)\/(-8)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16953 + -10664. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15*c. Let s(v) = -9*v - 115. Let l(a) = -10*a - 138. Let r(i) = 5*l(i) - 6*s(i). What is 4*k(o) + 18*r(o)?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*-1 - -2*1. What is the units digit of 2*(-1 - 33\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, 0.183, 788?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -0.4, 1 in descending order.\nAnswer: 1, 0.4, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0445399 rounded to four dps?\nAnswer: 0.0445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (1 + (1 - 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-15)*8\/36. Let i(s) = -s - 4. Suppose -13 + 1 = 3*l. Let h be i(l). Is h >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 divided by 7?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74586*y**3 + 27555*y**2 + 2?\nAnswer: 447516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1867.428954 + 1867.4. What is x rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**6\/45 + x**5\/30 + 6*x - 3. Factor h(a).\nAnswer: -2*a**3*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-12))\/(-1)*((-30)\/9)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3892 and 2918027?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 161.999951 + -162. Round r to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/30 + 1213*h**4\/12 + 3*h**2 + 786*h - 1. Factor s(o).\nAnswer: 2*o*(o + 1213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -20 + 15 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 + 2665 = 101*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -133. Let b be (1 + 816)\/((z\/(-25))\/(-18)). Round b to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182178 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102446 (base 7) in base 16?\nAnswer: 3dc5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5269 + -5272. What is the nearest to -1 in 677, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-22) - 3105\/(-253). Solve 39 = -d*i + 27 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2 - (-4 + 10)) + 7 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -4*s**6\/3 - 5*s**4\/2 + s**3\/3 + 17*s + 6. Let j(r) = -3*r**5 - 3*r**3 + 6. Let g(y) = 17*j(y) - 6*p(y). Factor g(c).\nAnswer: -3*c**2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - z - 9 = 0, 0 = 2*j - 6*j - 4*z - 56 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/2 of a tonne?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/600 - 2*c**5\/25 + 79*c**4\/120 - 9*c**3\/5 - 150*c**2. Factor n(i).\nAnswer: -(i - 2)*(i - 1)*(i + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5895.863116 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3\/4)*u))\/u*u**(-1\/4))\/(u**(-1\/5)*u*(u*u*u\/u**(-1))\/u) assuming u is positive.\nAnswer: u**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4582 or -313?\nAnswer: -4582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 636617*d + 936. Is r(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278*l + 1141*l + 23 = -1138*l - 3*b, 38 = -2*l - 5*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/116*(-8764)\/6260*8\/14.\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(441))\/((sqrt(448) + sqrt(28))\/sqrt(4)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29732 - -17949. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2) - 3 - (-11 + 18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 39 (c) 1.1 (d) -0.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2708765 is divided by 1354377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13458 + 13445.619. Let r = s - -12.3. Let l = r - -0.0810334. Round l to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - 25*p + 9. Let x be c(0). Let m = -8 + 4. Let n be 1\/((m\/6)\/(-2)). Solve 4*a = n + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 8 = 2*o + 11*j, 2*o - 14 = 4*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/11 (b) 0 (c) -3749 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41\/2 of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*p - 2*o, 3*p - 2*o - 5 = 0. Suppose 4*w + p = -7. Sort -14, 0, w in ascending order.\nAnswer: -14, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 6:17 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.2 - -3.2. Let w = t - -26.00000038. What is w rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-931)\/57*50\/(-7)*3. Let l = j - 350. Solve l = -3*i - y + 9, 6*i = i + 3*y + 29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -10. Let k(n) = 63*n + 7056. Let s be k(-112). Sort 66, x, s in increasing order.\nAnswer: x, s, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654171 is divided by 115?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3001 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 132*f - 328*f + 193*f - 4.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 50*w - 411. Let m be t(13). Which is the nearest to 4? (a) m (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + -14 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548683346 to the power of 1\/2, to the nearest integer?\nAnswer: 39353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 290.06, 0.7, 20?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4656 and 1068261.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1101012222?\nAnswer: -1101020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -13*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 - 4?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 f when four letters picked without replacement from ffeefffeee.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(252) + 5 - sqrt(252) - sqrt(252))*5)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1075389401 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/22386753 and -85\/156707271.\nAnswer: 156707271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42ce3a (base 15) to base 11\nAnswer: -1884031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 364040940 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 343483757 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: What is 193315 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: Which is the closest to -1\/4? (a) -2 (b) 5 (c) -0.106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 230\/31, 0, -1\/9, 5\/3 in increasing order.\nAnswer: -1\/9, 0, 5\/3, 230\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-425)\/110 - -4)*12\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/41833 and -58\/3.\nAnswer: 125499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -3*n - 11*n. What is the hundreds digit of ((-8)\/(-10))\/(n\/9500)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v - 3. Let s(y) = -2*y - y - 2*y + 2. Let b(g) = -3*l(g) - 5*s(g). Let i = -1 - -2. Let q(h) = -1. What is i*b(w) - q(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.683 to one decimal place.\nAnswer: -108.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-124)\/186)*-26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*p + 545 = 182 - 349 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*6\/((-9)\/(-3)). Let v be (-3 - 0)*(-3)\/(-9). Suppose -2*q = -2*n + 6*n, 5*q = 2*n. Put n, v, j in descending order.\nAnswer: n, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 - 8236*f**4 - 4218824*f**3 + 21283936*f**2 - 8586240*f - 34080768 = 0. What is f?\nAnswer: -1032, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42 and -86.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let d = 5 - u. Solve -d*o + 0 = 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*q**3*w**2 + g**3*w**3 + 5339*g*q**3*w**2 - 8507*q**3*w**3 wrt w?\nAnswer: 6*g**3 - 51042*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4321533?\nAnswer: 3, 1440511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 640*l - 24*l)*(-l**2 + 0*l**2 + 3*l**2 + (-2 + 3 + 1)*(-1 + 1 + 2*l**2) - 5*l**2 + 3*l**2 + 0*l**2)*(-4 + 3 - 1)*(2*l - 1 + 1).\nAnswer: 10448*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 21. Let w = j + -7. Let g(u) = 5 - 11*u**w - 3 - 2. Let v(c) = -c**2. Calculate g(v(p)).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.723 - -0.277. What is the third biggest value in -4, c, 2\/35, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(1\/2)\/k))**27*(k\/(k\/(k*k\/k**(-7))))\/(k*((k**4\/k)\/k)\/k)*((k**1)**(-14))**(-30\/7) assuming k is positive.\nAnswer: k**(161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 21*v**4\/8 + 17*v**3\/4 - 3*v**2 + 12*v - 5. Factor l(w).\nAnswer: 3*(w + 1)*(21*w - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65636429*f*m - f + 16835137*m wrt f?\nAnswer: -65636429*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -644*((1 - 8) + 4). Calculate the highest common divisor of 28 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142019863 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131580335 or 131580333?\nAnswer: 131580335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.73 + -2. Let k = -2 + 2.03. Let q = n - k. What is the third biggest value in q, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165701 (base 8) in base 4?\nAnswer: -32233001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358618*a**2 - 717244*a**2 + 358624*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a (base 12) to base 2.\nAnswer: 11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2 - 2 - j. Let m(u) = u**2 + 4*u**2 - u**2. Determine m(c(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 6*v + 2. Let k be u(-6). Suppose c + 17 = x, -3*x - k*c = 2*c - 51. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 394 + 239. Suppose 2*g + g - v = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, s: 2, e: 7, u: 1, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1770)\/15)\/(2\/6*-1).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2551 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -113062435 and -113062433 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100798 and 998.\nAnswer: 100798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003389 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 822 by 7819.\nAnswer: 822\/7819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a factor of 7017246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 5*m - 7*m + 5*m. Let z(h) be the third derivative of 0*h**3 + 1\/30*h**5 + 0 + 0*h + 0*h**4 - 2*h**2. Calculate z(u(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 55 = -a. Suppose a*t = 395 + 210. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-4) - 7) + (-77)\/(-33). Which is the nearest to 0.11? (a) 6\/11 (b) -2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/13 - (76 + -77).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 174080914*a\/3 + 7576041154768849\/3.\nAnswer: (a + 87040457)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3*(4\/16)\/(30\/(-240)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35563830409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 57, -3 in descending order.\nAnswer: 57, 13, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 14651*n - 20 - 1 + 8)*(1 + 0 + 0).\nAnswer: 14651*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*r + 2. What is h in -20*h**2 + 10*h + r*h + 9*h**3 + 0 - 2 = 0?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389511921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33393849 is divided by 16696921?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(360) + sqrt(40) - (sqrt(40) - (sqrt(3240) + sqrt(3240) + sqrt(3240)*-2)))\/((1*sqrt(88))\/sqrt(11) - sqrt(128)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1215)\/(-75) + (-1)\/5. Suppose 4*t = 2*p + a, 5*p - 4 = -t + 3*p. Suppose 4*r - i - 7 = 2*r, -9 = -t*r - 3*i. Solve -k + 4 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 115? (a) -0.2 (b) -1 (c) 104 (d) 0.02 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 77, 3\/7, -9\/7, -0.11, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01146486 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (13 - (8 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 677.84 - 4.84. Let h = k - 642.9. Round h to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 9*a**2 - 18*a - 57. Determine o(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, 4, 0.1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(27\/4))\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = 4*i. Let a = -149 - -153. Put a, -5, i in descending order.\nAnswer: a, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 30642 (c) 6 (d) 4 (e) 1\/5 (f) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 47925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369108343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15948*g + 7972*g - 4 - 4 + 7979*g + 2.\nAnswer: 3*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let r(x) = -x**3 + 2*x**2 + 4*x + 1. Let o be r(3). Let s(d) = 6 + 2*d**2 - o - 2. Calculate s(b(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**5 - 59*a**4 + 246*a - 1?\nAnswer: -80*a**3 - 708*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = 2*z - 24, -4*z + 4*i + 28 = 0. Let c(w) = 3*w**3 - 16*w**2 + 3*w + 11. Let l be c(z). Let s(y) = 26*y - 2. What is s(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 9*m - 16. Determine c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 5, s: 6, q: 1, o: 2, y: 3}. Give prob of picking 1 o, 1 q, and 1 l.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-1)\/2) + 2. Let i(c) be the second derivative of 1\/6*c**3 + n - 2*c + 1\/6*c**4 + 0*c**2 + 1\/20*c**5. Let i(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rikkzzzziizirirzrzr. What is prob of picking 1 r and 2 z?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4132541 and 0.09?\nAnswer: -371928.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 145. Suppose 19*v - s*v - 365 = -5*a, -v + 150 = -4*a. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/391259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6762*d - 101404. Give w(-15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163737 is divided by 12595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123629, -247297, -370967, -494639, -618313, -741989?\nAnswer: -865667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, x: 11, g: 6}. What is prob of sequence kg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22726 + 59866. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49 + 0.59. Suppose 15*y - 10*y - 3*m = -27, -5*m + 25 = -5*y. Which is the nearest to 2? (a) y (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14 - -9 - -13)\/14. What is the biggest value in -1, x, 0.3, 1\/20?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, -12\/7, -1\/3, -9.4, 1\/15, -2\/13, 1.8?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 - 4 = 4*k, -2*k - 18 = 5*t. Let i be t\/(-14) - (4 - 410\/35). Calculate the common denominator of -57\/10 and i\/((-72)\/(-195))*(-6)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -156. Let a = 152 + -97. Suppose -u*b + a = -b. Calculate the greatest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 12*r**2 - 12*r - 6. Let x be t(-11). Is (-90)\/(-4)*(7 - x) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -47*q**2 - 10*q - 13. Let t(d) = 26*d**2 + 5*d + 9. Let x(g) = 6*c(g) + 10*t(g). Solve x(y) = 0.\nAnswer: -1, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1016 and 508.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/35 + (-221)\/(-91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.22 - -0.22. What is the nearest to 1 in -0.3, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 3. Suppose -15 = -3*s + 12. Let u = -3 + s. What is the units digit of c(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 119. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Let z = 256 + -1531\/6. Which is the second biggest value? (a) h (b) z (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -328\/85305 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 - 322 = 58*y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1.96663?\nAnswer: -0.786652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 931060799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g - 15. Let j(s) = -3*s - 7. Let h(w) = 9*j(w) - 4*t(w). Let k be h(2). Let f = 4 + k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let z = -3 + y. Suppose t - 6*t + 20 = 0. Sort z, t, -5 in increasing order.\nAnswer: -5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q - 51*q = -h + 38, -5*h - 2*q + 169 = 0. Let l be (0 + (126\/h - 4))*-1. Suppose 0*u + l - 2\/5*u**2 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 9*t + 199. Let k = -73 + 223\/3. Which is greater: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3885402 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -2*l**7\/7 - 3*l**4\/4 + 56*l**3 + 25. What is the third derivative of z(o) wrt o?\nAnswer: -240*o**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12324960 divided by -480\nAnswer: -25677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9210 - 9158. Calculate the smallest common multiple of i and 2160.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n**4 + 2*n - 3*n)*((-2 + 2 + 2)*(1 - 1 + 2*n) + 2*n + 4*n - 4*n).\nAnswer: 18*n**5 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 19 = 4*v, -3*k + v - 13 = 3*v. Let t(x) = x - 2. Let s be t(0). Sort s, k, -3.\nAnswer: k, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/24)\/((-1)\/28*-7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -104, -3, -2\/9, 110, -96?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3627*0.5.\nAnswer: -0.18135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*((-12)\/18)\/((-29)\/(-174)). Determine d so that -10\/9*d - 25\/9 - 1\/9*d**w = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(200))\/sqrt(5))\/(sqrt(56)\/(sqrt(7) + sqrt(28)) - sqrt(8) - sqrt(8)).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) -0.03 (b) 789\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 - 237*g + g**2 + g**3 + 0*g**4 + 328*g + g**4 - 206*g in the form t*g**3 + l*g**2 + f*g**4 + u + q*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 47163, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, 47163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6)**(-2\/29)\/(r\/(r*r**1)*r*r\/(r\/(r*r**25*r*r))*r) assuming r is positive.\nAnswer: r**(-853\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -4218*s**2 + 1687*s + 7776. What is the first derivative of t(x) wrt x?\nAnswer: -8436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 5*n + 20, -34 = 5*n + m - 32 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 685386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 17*f - 52 = 26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67ab4 + 0?\nAnswer: -67ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 3*a**2 - 18*a + 149. Let f(m) = -2*m**3 - 3*m**2 + 12*m - 149. Determine -3*f(x) - 2*z(x).\nAnswer: 2*x**3 + 3*x**2 + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1) + 3 - 0. Let y(b) = -4*b - b - f + 2*b + b. Let s(n) = 8*n + 17. Determine 2*s(o) + 9*y(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8101763 + 1?\nAnswer: 8101764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 106456760.1 to the nearest one million.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 3 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37758 + 37852. What is the smallest common multiple of 8 and n?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + a - 72, 5*a = 5*v - 180. Let n be 0*3*(-4)\/v. Suppose 2*q = n, 133 = -5*y - 4*q + 463. What is the highest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-7)\/(7\/2). Solve 0*w - 2*w = -i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 20 = 12*i. What is the nearest to -1 in -1\/2, -4, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2000\/9 - 2\/9*r**4 + 1450\/9*r + 46\/9*r**3 - 130\/3*r**2.\nAnswer: -2*(r - 8)*(r - 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**7\/105 + m**5\/15 - m**3\/3 - 33*m**2. Factor s(q).\nAnswer: -2*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061327334 rounded to 7 dps?\nAnswer: 0.0000613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 10)*(20 - 21)*-25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k = -126*k, -5*x + 18 - 22 = 4*k + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 10 = -5*t, 3*h - 63*t = -68*t - 25 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 4*x, -2*x - 2 = -7*s + 12*s. Let r(p) = -13*p + 874. List the prime factors of r(s).\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169bd (base 16) to base 4\nAnswer: -112212331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 11 - 2)*(r**3 - 2*r**3 - r**3)*(3*r + 0*r + 3*r) to the form c*r**3 + a*r**2 + y*r**4 + n + u*r and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -389*x**3\/6 - 23*x**2\/2 - 17*x. Let g be r(-2). Let m = 34 + g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 4.3. Put x, 4, -5 in ascending order.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 8*p + 27. Let s be ((-30)\/(-5) + 1)*-2. Let f(i) = -i**3 - 14*i**2 + 2*i + 9. Let h be f(s). Is j(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -2, 0.1, -2177\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -754*d**4 + 209*d**2 + 2.\nAnswer: -18096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31453 and -102?\nAnswer: 31555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.601 + -3.601. Which is the second biggest value? (a) 0 (b) z (c) -285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*(n*n**(-5\/4)\/n)\/n*n*n*n**(-22)\/n)\/(n**11\/n**(7\/3)) assuming n is positive.\nAnswer: n**(-347\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*sqrt(540))\/((sqrt(12) - sqrt(84)\/(sqrt(7)*2)) + sqrt(12))*-3.\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -32629666?\nAnswer: -32629669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -191, -5964, -1 in decreasing order.\nAnswer: -1, -191, -5964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435 smaller than 2317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 i when three letters picked without replacement from {u: 3, i: 3, z: 5}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h - 6*h**2 - 4 + 8*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -87, 2 in descending order.\nAnswer: 2, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110417 (base 12) in base 3?\nAnswer: 20010102121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/21 and -19\/6657.\nAnswer: 6657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15)*m)\/m**9 assuming m is positive.\nAnswer: m**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1098567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 1625*t.\nAnswer: 5*t*(t + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*(-5)\/5*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 4) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-304)\/6*(-3)\/(-66). Let t = y - -18\/11. Which is the smallest value? (a) -1\/2 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21397838 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z + 2*n + 17, 0 = -n - 1. Solve -z = -3*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168366 is divided by 3622.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2864 - -2864.13. What is the nearest to m in -3, 0.2, -0.1, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -3 + 177 + (0 - 0). Let j be 0 + (-3 + z - -5). Calculate the greatest common factor of 140 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/12760 and 83\/20416.\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2743, -10952, -24631, -43780, -68399, -98488, -134047?\nAnswer: -175076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 77*d - 81*d - 29 = 0, 67*k - 221 = 4*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.6824 years in centuries?\nAnswer: 0.126824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223889124.\nAnswer: 2, 3, 101, 184727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6 - (8 + 5))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqbffqqmqmbfq. What is prob of sequence qqbm?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210012112102 (base 3) in base 11?\nAnswer: -598952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Let i = 46.8 - 46.9. Put 4\/7, a, i, 2\/17 in decreasing order.\nAnswer: a, 4\/7, 2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/20*35\/2. Calculate the greatest common factor of a and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 10 - (0 - 0). Let l(c) = -c**3 - 57*c**2 + 60*c + 215. Let a be l(-58). Calculate the greatest common divisor of b and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/9, -11\/5, 0.3 in ascending order.\nAnswer: -11\/5, 2\/9, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1467, 1455, 1443, 1431?\n\"Answer: -12*b + 1479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**2. Suppose 2*u = -3*u + 15. Let g(k) = 0*k**2 - 5*k**2 + 3*k**2 + u*k**2. Give g(o(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 4, 3, 73 in decreasing order.\nAnswer: 73, 8, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70024.\nAnswer: 2, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 - 78*a**2 - 18400*a\/3 - 1255000\/9.\nAnswer: -2*(a + 50)**2*(a + 251)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/157? (a) 1\/4 (b) -11.9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*r**2 - 630*r + 1888\/3.\nAnswer: 2*(r - 944)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/12*1*-4. Let i = -0.2 + -2.8. Which is the biggest value? (a) 0 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7 - 2) + -12 + 5 + (-1 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -6\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let u be 4 + -16*(-4)\/(-20). Which is the biggest value? (a) u (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002196709468 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -468*j**2 - 12*j - 163. Let x(c) = -5*c**2 - c. Let s(a) = 10*x(a) - y(a). Differentiate s(i) wrt i.\nAnswer: 836*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, k: 9, y: 3}. Give prob of picking 2 k.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 14*o**2 + 1 - 4 - 7*o.\nAnswer: 14*o**2 - 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8796531\/142 + -61947. Let n = 5723\/66 + -996\/11. What is the common denominator of g and n?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 - -3 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(3*l - 3*l - l)*(-1 + 9 + 0).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22529468 - -22529506.000331. Let d = 38 - h. Round d to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31585.6 plus 47235?\nAnswer: 15649.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 153*y - 567. Let c be i(-70). Is 350 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2550 divided by 3\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24967 - -24967. Sort v, 25, -13\/3, -9 in decreasing order.\nAnswer: 25, v, -13\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*a - 7250 = 0, 2*u + 12*a - 14512 = 10*a. Round u to the nearest 100.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-2 - (2*sqrt(171) + sqrt(171))\/sqrt(9).\nAnswer: -23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 874 - 873. Let o(f) = -42*f**2 + 2*f - 1. Calculate o(s).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2843.75 in -4, -5, 4, -1, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1450877061 rounded to 4 dps?\nAnswer: -0.1451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39133*s**5 - 10535*s wrt s.\nAnswer: 782660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29 and -10170160922.\nAnswer: -10170160893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -342\/1639 - -125102\/1007985. Find the common denominator of b and -79\/20.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, -1, -34, -905 in decreasing order.\nAnswer: 4, -1, -2, -3, -34, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*j**3 + 5*j - j + 17*j**2 - 4*j + 5 + 89*j**3 to q*j**3 + p*j + s + c*j**2 and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times -8863.8?\nAnswer: -354552","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 26424533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -w. Let o(s) = 8*s**2 - 2*s**2 - 8*s**w. Let x(b) be the third derivative of b**5\/6 + b**2. What is x(o(g))?\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q**2 - 6*q - 5*q)*(3 + 1 - 2)*(3 + 0 + 4) - 3*q - 2*q**2 + 3*q.\nAnswer: 12*q**2 - 238*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let l = 3 - 9. What is the units digit of g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 503 and 55?\nAnswer: 27665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-48)\/6)*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, n: 3, m: 6, y: 3}. Give prob of picking 1 m and 1 y.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23500 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 16\/161?\nAnswer: 16\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s**3 - 35*s**3 - 41*s**3 + 103*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 18. Let u be 2\/j + (-11160002)\/(-4). What is u rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 10*c + 9*c - 47 = 0, 5*v - 6*c + 66 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*i + 2*i + 88, 22 = -c + i. Let y(o) = -2*o - 32. Let w be y(c). Solve k + 5*q = -k - 18, 2*q = 4*k + w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 11*f + 16. Let d(y) = -6*y**2 - 10*y + 17. Let b(t) = -6*d(t) + 5*x(t). List the prime factors of b(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 - 170*d**4 + 3524*d**3 + 3868*d**2 - 3526*d - 3698 = 0 for d.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -2.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a64 (base 15) to base 3.\nAnswer: 10012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13052 is divided by 4306.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711, 1421, 2131, 2841, 3551?\nAnswer: 4261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i - 34. Let c = -75 - -82. What is the units digit of t(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f*(f*f**(-1\/5))\/f*(f**(8\/11)\/f*f)\/(f**(-35)\/f))**(-18) assuming f is positive.\nAnswer: f**(-47052\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(10\/(-15))*(56\/(-70))\/((-4)\/(-10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:05 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from kakkaakkka.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4157\/520 + 24\/65. What is the common denominator of -73\/14 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963106265.\nAnswer: 5, 11, 59, 296797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656 and 4018?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143245 + -125?\nAnswer: -143414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8878, -8888, -8898, -8908, -8918?\nAnswer: -8928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -275*r + 272*r - 9. Let o be ((-2500)\/r)\/((-9)\/6804). What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 96. Calculate the smallest common multiple of (-3)\/6 + 13\/2 and 800\/450 - k\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19780?\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -10 + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -35. Suppose 2*l - 10 = -f, 0*l + 16 = p*f + 3*l. Factor -2*r**3 + 4*r - 4 - 29*r**f + 30*r**2 + r**3.\nAnswer: -(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 12. Let k be j(-5). Let h(t) = -205 + 2*t**k + 205. Let i(n) = 10*n. Give i(h(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/374 and 91\/19074?\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -38 - (0 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -68, -262, -522, -842, -1216, -1638, -2102?\nAnswer: -2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24626 less than 24601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -j - 43, -j + 22 = 5*a - 3*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87096 and 81396.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -10584.\nAnswer: 13\/5292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1539) + 0)*-2 + -3 + sqrt(1539) + 2)**2 + 4.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -136746 or -136188?\nAnswer: -136188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n - 332. Let q(p) = p + 15. What is 24*q(v) + u(v)?\nAnswer: 32*v + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 10, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3) + -2 - sqrt(7) - (2 + 2*sqrt(7)))*4)**2.\nAnswer: 256*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 4*o + 4. What is p(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -155*c**3 + 2*c**2 + 11*c - 98. What is the hundreds digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -27*y**2 + 23*y + 9. Let v(s) = -7*s**2 + 6*s + 2. Let t(g) = -2*k(g) + 9*v(g). Let f(l) = -8*l**2 + 7*l. Give 7*f(i) - 6*t(i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10488 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:00 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:28 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 11654448?\nAnswer: 58272240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108129792 a multiple of 2424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 73 = 3*x, 5*r + 3*x = -x + 101. Suppose -w - 2 = -3*p - 8, w = 3. Calculate the remainder when (-2)\/p*(-67)\/(-2) is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/238*(1 + 0). Let t be (6\/10 - 1) + 520\/50. Suppose -20 = -5*b, 7*k = t*k - b + 4. Which is greater: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -4.1000189. Round t to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:40 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + n. Let t(w) = -7*w**2 - 3*w + 1. What is -5*s(q) - 2*t(q)?\nAnswer: -q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/3 + 28459*s - 2135050\/3 = 0.\nAnswer: -85402, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/3 - 4*y**3 - 10*y**2\/3 + 16*y + 24 = 0?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70075*m**4 + 96768 wrt m.\nAnswer: -280300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 690645.1 to the nearest one thousand.\nAnswer: 691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 2*x - x - 3*x - 4*x + 6*x + (3 - 4 + 3)*(3*x - x + 0*x) - 18757 - 5232*x - 18759 + 37517.\nAnswer: -5228*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39955 - -339737932.\nAnswer: 339777887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*q - 42, 4*u = 2*u - 4*q + 36. Suppose t = 6 - 10. Let d(a) = -a**2 - 5*a + 1. What is the least common multiple of u and d(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-5\/4)*o**(1\/3)\/(o*(o*o\/(o**(-7)\/o))\/o*o)*((o**(-15)*o)\/(o**(3\/7)*o))**(1\/19) assuming o is positive.\nAnswer: o**(-11155\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -19 + -2 + -40.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*f - 2*f. Let z(q) = -7*q**3 + q + 1. What is the units digit of z(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1112, 1043, 986, 941, 908, 887, 878?\n\"Answer: 6*f**2 - 87*f + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11606 (base 9) to base 16\nAnswer: 1e66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 10 = 321*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/765 and -73\/510.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**6*r*r)))\/(r\/r**(-2\/7)))**49 assuming r is positive.\nAnswer: r**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (4 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6324*a**2 - 13051*a + 7458099.\nAnswer: 12648*a - 13051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (34 + -13)) + -2 + 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 192*w.\nAnswer: -3*w*(w + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 10 = -5*v + 7*l, -l - 5 = 0. What is the second derivative of u**v - 242*u + 256*u + 0*u**4 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000011011 (base 2) to base 11\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(196)*1)\/(-1*sqrt(162) + sqrt(2)).\nAnswer: 35*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/4 - 2*u + 1.\nAnswer: (u - 2)*(3*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3834852278 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjcjjjjjjccjjjjj. What is prob of sequence cjc?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 19. Let o be x(-9). Let r(h) = 12*h + 2. What is the remainder when 25 is divided by r(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00373761 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*t - 763 = 2265 + 2048 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.25 or 27431?\nAnswer: 3.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*g + 2917 = 17*g + 7141 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9106003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**23*a)))\/a)\/a**(3\/4)*(a**7*a)**41)**(-31) assuming a is positive.\nAnswer: a**(-43431\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2 - l - 1. Let y(m) = -2*m - 37. Let k be y(-20). Suppose 8*t - 11*t = k, 0 = -5*d + 5*t - 5. Determine h(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 8522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105)*-1)\/sqrt(7) + sqrt(15))\/(sqrt(20)\/sqrt(4)*4) + ((sqrt(3888) - (sqrt(3888) + 1)) + -2)**2)*3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/6 + 4*o**3\/3 - 4*o**2 - 16*o. Factor i(x).\nAnswer: -2*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 3. Let y(u) = -2*u + 3 - 6 + q. Calculate the lowest common multiple of y(-4) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 18 = -5*g + 30, 8 = 4*g - 2*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27251, -56077, -88057, -124769, -167791, -218701, -279077?\n\"Answer: -263*n**3 + n**2 - 26988*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 2, w: 1, u: 2, m: 2, n: 5, o: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from {g: 3, w: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**2 + 9*w**2 - 5*w**2. Let r(j) = 2*j. Give r(x(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let r(b) = -9*b + 3. Let j(x) = r(x) - 2*s(x). Let y(m) = m. Let l(p) = j(p) + 6*y(p). Let d be 4\/5*30\/4. Calculate l(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 633286 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.053 + -0.053. Let z = g - 29.99664. What is z rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 0*m**3 + 3*m + 3 - 3*m**3 + (-395 - 4*m + 415 - 16*m)*(2*m**2 + 4*m**2 - 4*m**2).\nAnswer: -43*m**3 + 40*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgf when three letters picked without replacement from orcifgfc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -60. Suppose 2*x = -k + 8. Let z = x - -21\/2. What is the nearest to -0.2 in -2, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) -597731\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 88\/5 of a centimeter?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**5*r)*r)\/((r\/(r\/r**(-17)))\/r))**26 assuming r is positive.\nAnswer: r**572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/6 + 907531*q**3\/6 - 45758116215*q**2 + 13845124325285218*q\/3 - 512081694435904852\/3 = 0. Calculate q.\nAnswer: 37, 302498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/20 + 7*d**4\/6 - 13*d**3\/6 + 23*d**2 + 73*d. Let x be b(-15). Calculate the greatest common divisor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.1203 - -0.8797. Which is the closest to 1\/3? (a) s (b) -4\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 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: Express (-o + 2*o + 5*o)*(12*o - 10*o - 7*o) - 5*o + o**2 + 5*o in the form j*o**2 + k*o + i and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o**3 - 2*o**2 - 2*o - 1. Let m be g(-1). Let k be 1\/2 + m\/4. Find the third derivative of -i**6 + i**k - 2*i**6 - i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/60 and -97\/1464.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 4*v + 12. Suppose -3*o = -o + 12. Let g be x(o). Suppose w - 73 - 18 = g. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*n - 38 - 49 = 0, 4*n = -2*c + 42. Let f be -16 - (1 + -3)\/(-2). Let u = c + f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 1233 - 2*o + 0*o.\nAnswer: -o - 1233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 509?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**4 - 2*k + 3*k + 0*k**4)*(1 - 7 - 2) to p*k + w*k**2 + b + g*k**3 + r*k**4 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.28 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 102.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**5\/20 - 7*p**4\/12 + 7*p**3\/6 - p**2\/2 + 8*p. Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3722273 is divided by 243.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231981 + -52728. Let u = -179253.999999 + k. Let f = u - -1. What is f rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4456862 is divided by 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -6 + (-13 - (10 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*(-16 + (-30*6)\/(-12))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -22*y + 1. Let q be c(1). Suppose 2*l = -3*n + 5*l - 51, -6 = -3*n - 16*l. Find the common denominator of 35\/2 and (-194)\/(-24) + n\/q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g - 186. Let d(c) = 17*c - 310. Let l(t) = 3*d(t) - 5*s(t). Let h(j) = -195*j**2. Give h(l(u)).\nAnswer: -7020*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 1:09 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f6b - 5?\nAnswer: 2f66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*2 + sqrt(14))\/sqrt(2) + sqrt(7) + sqrt(28)*-5.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:21 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 658 - 660. What is the closest to x in 5, -1\/5, -0.01?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((b*(b**(-1\/15)*b*b)\/b)\/b)\/b)\/b*b)\/b)\/b*b**(-1\/10)*b*(b\/b**(1\/11))\/(b\/(b**5*b)))**(13\/3) assuming b is positive.\nAnswer: b**(4069\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 6*h**3 + 4*h**2 - 25*h**3.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175 + 170. Which is the smallest value? (a) -1\/6 (b) 1\/5 (c) j (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 28*h + 97 - 75. Which is greater: h or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 432 + 25*k**2 - 7*k - 8*k + 11*k + 218.\nAnswer: 25*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6382 and 746.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241219 is divided by 2437?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -169925258, -169925275, -169925306, -169925357, -169925434?\n\"Answer: -o**3 - o**2 - 7*o - 169925249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 358 + -348. Suppose -y*f = 3*f - 1248. Calculate the lowest common multiple of f and 56.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 1. Suppose -3*u + u + 2*v = -8, -4 = -4*v. Let m be r(u). What is the common denominator of 38\/m*3\/(-9) and 7\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + n - 5*n - 26, 0 = 4*t + 2*n. Let v(z) = -2 + z**t + 1 + z - 1 - 7. Let b = 2 - 2. Give v(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -30*i**2. Let z = 7 - 47. Let t be ((-8)\/10)\/(z\/100). Let c(q) = 3*q - t*q + 2*q - q. Calculate c(j(w)).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -2789.\nAnswer: -69725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87492*d + 87528*d. Sort -15, 1, -4, d in decreasing order.\nAnswer: 1, d, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -1 + -3 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 4*t - 3. Let w(d) = -d**2 - 3*d + 2. Let k(b) = -2*h(b) - 3*w(b). Let p(i) = -90*i**2 + i - 1. Let o(n) = 6*k(n) - p(n). Is o(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 1. Let n be s(6). Let z = 4 - n. Sort z, -1, 3 in ascending order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**6*m**5\/m*m)\/((m\/(m*m**1*m*m*m))\/m)**(-5\/7) assuming m is positive.\nAnswer: m**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 - -0.64. Put 1, 3, b in ascending order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 369181991961 from 144.\nAnswer: -369181991817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4)*(-2 - (15 - -3)). Suppose 4*h = -4*d + 2280, 0 = d - a*h - 683 + 83. List the prime factors of d.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254133?\nAnswer: 3, 11, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 626 = 494. Calculate the highest common factor of 3395 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -97, -128, -137, -118, -65, 28, 167?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 317 = 621. Let f(b) = 3*b + 2. Let h be f(-4). Let v = m + h. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138530, -138534, -138538, -138542?\nAnswer: -138546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130816157 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8453978 != 8453980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71900 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 300.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*v**5 - 7454502*v**4 + 85835436380*v**3 - 1837623813268*v**2 + 4107353842306*v - 2431707517382 = 0. What is v?\nAnswer: 11\/9, 19, 22997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24650.\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4814.\nAnswer: 2, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012341839 to 4 dps.\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2695 and 272.\nAnswer: 733040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + ((sqrt(6300) + -2 - sqrt(6300))*5 - 1*(2 + sqrt(6300))) + -5)**2.\nAnswer: 1140*sqrt(7) + 6661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 10. Let c(g) = g**2 - g + 1. Let p be c(y). What is the highest common divisor of 21 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*n**5\/5 - 166*n**4 - 706*n**3\/5 + 4454*n**2\/5 + 2808*n\/5 + 72 = 0 for n.\nAnswer: -2, -3\/7, -2\/11, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 7*x**2 + 4*x - 10. Let g be t(-6). Let j(m) = 8*m - 6. What is the remainder when 29 is divided by j(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 2, y: 2, i: 4, d: 2}. What is prob of picking 2 d and 2 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose -b*w + 5*x - 14 = 0, w - 5*x = -w - 16. Suppose -w*c = -3*n + 58, -3*n = -8*n + 2*c + 90. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(-96*b**4 + 3693*b**2 - 3693*b**2).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*b - 60?\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdteeeedreeppeegpete. Give prob of picking 2 p and 1 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*q = -12, 0 = 3*p - p + 3*q + 8. Suppose 2*j - 26 = -4*o, -3*j - o - 4*o + 36 = 0. Let y(b) = -2 - j*b - b + 1. Calculate y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aysjjjabsjjjajsybyj. Give prob of picking 1 a and 2 y.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18626\/5 or 3724?\nAnswer: 18626\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731 - 731. Let s(w) = w**2 + 7*w + 12. Let r be s(-5). Suppose 4*d + r + 2 = 0. Which is the closest to g? (a) d (b) 2\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 30*k**2 + 2*k - 1. Let n(t) = t**3 + 5*t**2 + 13*t + 22. Let b be n(-3). Determine a(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/28 of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.07142 rounded to zero decimal places?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -3.94. Let v = t + -3.6. Let s = 212.24 - 208.24. What is the third biggest value in 3, v, -3\/2, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 41, 1\/6, -0.54?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 - (-228)\/54. Suppose r*w + g = -1 + 6, 5*w = g + 13. Calculate the greatest common factor of 22 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 356\/84) + (-2)\/(-1). Are f and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**3 + 4*k**2 + 7*k + 7. Let d be (-19)\/(-5) + (-19)\/(-95) - (-7 + 6). Let h(r) = 5*r**3 - 3*r**2 - 5*r - 5. What is d*x(p) + 7*h(p)?\nAnswer: -5*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 0 - 12\/(-4). Suppose -w*u + 7 = 2*b - 31, -u = -2*b - 10. Suppose 2*h - u - 20 = 0. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167526271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -14)\/(-2 - -3). Let y = 22 + q. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(99) + 0)*-2 + -1 + sqrt(99) + -2)**2.\nAnswer: 42*sqrt(11) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 5*d - d - 2*d + 11*d - 5*d + 2*d + 4*d + (-5*d + 2*d + d)*(-3 + 3 - 1))*(-16*d + 16*d - 12*d**3).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 295, 345, 391, 433?\n\"Answer: -2*s**2 + 56*s + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(2\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3628406?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*(-72)\/(-45). Suppose -4*x + 3*b + 20 = x, -c = -x + 4*b. Differentiate -10 - 2*h**4 - 4*h**x + 0*h**4 wrt h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnuguun. What is prob of picking 1 n and 2 g?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 1920*x + 1922.\nAnswer: -2*(x - 961)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6240 by -624.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(490)*-1 - sqrt(490) - 4*(sqrt(490) + sqrt(490)*2 + sqrt(490) - sqrt(490)))\/(6*sqrt(50)\/(1*sqrt(10))*6).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, h: 3, g: 1, p: 3, o: 1}. What is prob of picking 2 p and 1 a?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z*(z*z*z\/z**(-8))\/z)\/(z**2\/z*z**(-2)) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**2 - 261 + 524 - 15*z**3 - 261 + 2*z + 5*z**3 + 6*z**3. Let j(m) = -m**3 + m**2 + m. Calculate -i(w) + 2*j(w).\nAnswer: 2*w**3 - 8*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + j - 6. Let f be t(7). Let i = f + 105. Let -i*v**2 + 1 - 19*v**3 - 4*v - 10*v**3 + 7 + 33*v**3 = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -58. Let i be 0 - (-100)\/(7 + -3). What is the remainder when z is divided by i\/(-30)*1*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 3*z - 4. Let s be o(4). Let g be 2 + 4\/(-2) + 1. Let y be g\/5 + 72\/15. Solve s = y*t + 16 + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -61*n + 681. Let j be p(11). Solve -44 = -j*b - 54 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 1 = 6*c - 5*c, -38*c + o - 40 - 19 = -15*c - 18*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5524743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7844.559 litres?\nAnswer: 7844559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 46. Calculate the remainder when 105 is divided by q(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 35*r**4 - 15700*r**3 + 24425*r**2 + 71700*r - 80460 = 0.\nAnswer: -2, 1, 18\/7, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -97459.378 minus 57.5?\nAnswer: -97516.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = -3*r, r - 2 = u - 3*u. Put r, -0.2, -3 in decreasing order.\nAnswer: -0.2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(5\/8)*u\/(u\/(u**(-21)*u))*u assuming u is positive.\nAnswer: u**(-139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 178, 1088, 1998, 2908, 3818, 4728?\n\"Answer: 910*c - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5444 divided by 106\nAnswer: -2722\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -g. Suppose -220000 = g*u - 4*u. What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9009484 - 962280?\nAnswer: 8047204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.3. Let o = -1.233 - -1.333. Let v be (-2)\/4 - -2*1. What is the closest to f in -4, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**3 - q**2 + q**2)*(q - q - 1 + 2*q)*(12 - 9 + 11) to the form a*q**2 + t*q**4 + n + k*q + u*q**3 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f**3 + 3*f**2 + 2*f. Let r(a) = a**3 - a**2. Determine q(i) + r(i).\nAnswer: 17*i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 20*p + 22*p - 83 = 0, 0 = -p + 4. Let d = y - -27. Solve -h + 7 = -5*j - 7, d = -4*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.2 (c) -14.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8692 and 40?\nAnswer: 86920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2251 (base 7) in base 4?\nAnswer: -30310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 30. Which is the second smallest value? (a) 4\/9 (b) 0.7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20521056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1120, 7, 59 in ascending order.\nAnswer: 3, 7, 59, 1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4293523 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44160 and 4.\nAnswer: 44160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*k**2 - 106*k**2 + k**3 - 16*k wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148824*l**2*p**2 + l*p**2 + l*p + 213*l - 5*p**2 - 3*p wrt l.\nAnswer: 297648*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 - 4*a + 2. Let y = 16 + -13. Calculate x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 6. Let p be s(8). Let l be p + (3 - 4\/(-4)). Suppose -12 = x - 0*y - l*y, 5*y - 15 = -5*x. Put 3, x, 5 in increasing order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7398458796 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -105*h + 507. What is the thousands digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 12, 5, -2, -1360 in decreasing order.\nAnswer: 12, 5, 2, 0, -2, -1360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.8. Let v = 117298\/874785 - 44\/58319. What is the closest to h in v, 2, 153?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 105 (b) -1\/50 (c) 0.29 (d) 0 (e) -4 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26165 and 101735.\nAnswer: 532379255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 4\/(-1596))*651318\/(-12). Let q = 2869\/21 - s. What is the common denominator of q and -19\/39?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, j: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -1737*i**5\/10 + i**3\/3 + 349*i**2\/2 + 3561*i. Find the second derivative of x(t) wrt t.\nAnswer: -20844*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -268\/7. Which is the third biggest value? (a) -2\/13 (b) z (c) -4\/3 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/5 + 13866*m**2\/5 + 31648032*m\/5 + 4767375080 = 0. What is m?\nAnswer: -2825, -2054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354785 by 451595.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + 5 + sqrt(17) + -5)**2.\nAnswer: 12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (-1 - -11 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4784481017243 and -0.5.\nAnswer: -4784481017243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**2 - 127*g + 32. Give d(-20).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795951225?\nAnswer: 3, 5, 23, 167, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + 2) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*j - 4, -23 + 6 = -5*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g + 5. Suppose 3*q - 8*q = 25. Let p(b) = b**3 - 6*b + 6. Give q*p(y) + 6*s(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 10*p**2 + 42*p + 65. Determine z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/5 (b) 0.01 (c) 0.3 (d) -1 (e) 2264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - q + 7 = 0. Let m = q - -3. Is m\/(-6) - (-69)\/9 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 124, 220, 354?\n\"Answer: 19*j**2 + j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 258*x = -253*x + 22, 6*s - 4 = -2*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 4*o - 1 = 19*i, 4*i - 2*o + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 133770?\nAnswer: 26754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833))**2 + (1 + 1*sqrt(17) + sqrt(17))**2.\nAnswer: 4*sqrt(17) + 3401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = 5*n - 4, -8*p + 10*p = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 4885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -13285?\nAnswer: -13286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4*i**2 - 4*i - 24. Give f(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -0.3. Let n = 39976 - 39983. Which is the nearest to 0.1? (a) n (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12210 and 354090.\nAnswer: 354090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let s(b) = 7*b**2 - 25*b - 62. Let f(u) = -4*h(u) + s(u). Let n be f(-22). Sort 0, n, 45 in decreasing order.\nAnswer: 45, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(99)*2 - sqrt(99)) + sqrt(99)) - (sqrt(99) + 0)*1)**2 - (1 + sqrt(99) + -4 + 0).\nAnswer: -3*sqrt(11) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j - 17*j + 290. Let y(t) = 36*t**2 - j*t**2 - 8*t**2 + 21*t**2. Let c(f) = -f**2. Give c(y(o)).\nAnswer: -1521*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 13, 242.06, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 9?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -40*l - 319. Let x be r(-9). Solve 9*v - x = -32 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2991971 - 4359561. Round c to the nearest 10000.\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320 - 1?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -255 or -270?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.62 + 375.62. Let i = -375.388 + v. What is i rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/264553848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5718*a**3 + 91783 wrt a.\nAnswer: 17154*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + 2 - 15*4\/(-44) and 63\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -53. Factor -4*l + 1 + c*l**2 - 9 + 4 - 4.\nAnswer: 4*(l - 1)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61175 (base 8) to base 12.\nAnswer: -12711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425841979 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 14 = -2*d, -37*z - 3*d - 26 = -39*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -970.01234 - -970. Round q to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2)*(-16)\/(-6). Suppose -9*x + 14 = -7*x. Suppose -x*a + 11*a = 0. Solve -4*k + a = i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -196, -537, -876, -1213, -1548?\n\"Answer: j**2 - 344*j + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11) + (sqrt(121)*4)\/sqrt(11) - (sqrt(110)\/sqrt(160) + sqrt(66)\/(sqrt(6)*-2)))*6.\nAnswer: 63*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 12654?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**2\/7 + 16428*v\/7 + 4528071\/7 = 0.\nAnswer: -263, 5739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 2. Let k(v) = -2*v**2 - 4*v. Let n(z) = -k(z) - u(z). Let f(a) = -a**2 + 3*a + 7. Let j be f(5). Determine n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61\/3 + -511\/30. What is the common denominator of 47\/6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14595 - 14466. Calculate the highest common divisor of 201 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 416*r - 11185. Give s(27).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = -5*k. Solve 4 = 6*s - k*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:09 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16699264 to the nearest integer?\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 14) to base 11.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620887 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -16 + (-23 + 11 - -23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1887348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 136\/(-34) + (-51)\/(-14). What is the biggest value in j, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 r when three letters picked without replacement from ggvhovhhkorkgrrg?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34124*m - 34130*m + 481752 = 0. What are the prime factors of m?\nAnswer: 2, 3, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iieeihazeyyahhyh. What is prob of picking 1 i and 3 y?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6827837 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -3, -30 in ascending order.\nAnswer: -30, -3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4 = -11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -290 + 420. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706*g + 684248 - 74348 = -599*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -155979 and -0.4?\nAnswer: 62391.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19*n**2 - 2*n + 4. Let f(x) = 22*x**2 + x - 3. Let g(r) = -7*f(r) - 8*s(r). What is g(9)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3331 + 2?\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*d - d - 16 = 0, 5*d = 5. Let j = -4 + c. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 + -175. Solve 2*d + 0 = -l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k = 36. Let x be ((-1)\/(-2))\/(6\/k). Let i(b) be the second derivative of 13*b**3\/6 - 15*b. Calculate i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)*-1 + 4\/(-16). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761, -710, -631, -512, -341, -106, 205?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -1\/5*k**2 + 4 + 2\/5*k - 2\/15*k**3 + 1\/10*k**4. Let f(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2273425?\nAnswer: -2273425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 - 15*i + 3. Let a be m(9). Suppose 3*t - 19 = 2*v, 4*v = 5*t - v - a. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/(16\/144*-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7346*u**2 - 215 + 215 + 9717*u**2.\nAnswer: 17063*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:47 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*a**2 + 2*a**2 - a**2 - 4*a**3 - 7*a**2 to the form p + y*a + j*a**3 + x*a**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Suppose k*m - 4*a = -0*a + 30, 3*a = 5*m - 35. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3200 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 5:45 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1096 divide 6582576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*y + 67 = 0, 7721*t = 7718*t + 4*y - 80 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n**2 + 506*n - 398. Calculate w(-43).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 37*y + 32 - 88. What is the remainder when 3869 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/(-10) + (-10)\/25. What is the common denominator of 79\/12 and 34\/(-8)*u\/(-40)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -71. What is the lowest common multiple of 4 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(2\/35)\/(((p\/p**(-2\/11))\/p)\/(p**(-4)*p)) assuming p is positive.\nAnswer: p**(-8619\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f, 2*y - 5*f = -0*y - 5425. List the prime factors of y\/(-40) - 3\/4.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*x = -69, -3*x + 27 = -2*j - 18. Let u(k) = -5*k - 66. Let c be u(j). Solve 4*v = -3*l - 2 + 6, c = -4*l + 2*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -4 + -1)**2 + sqrt(72) + 5 + (2 + sqrt(72))**2 - (2*((-2 + sqrt(72))**2 + sqrt(72) + 4) + 3).\nAnswer: 6*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*q - 26. Suppose -q*f = -0*f - 15. Suppose -r - 1980 = -f*r. What is r rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -274 (b) -2 (c) 0.4 (d) 1\/2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.41 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 246, 245, 244, 243, 242?\n\"Answer: -s + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1225043\/3 + 1156670\/3*m**2 + 2415739\/3*m - 1\/3*m**5 - 33706\/3*m**3 + 319\/3*m**4.\nAnswer: -(m - 107)**3*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1527 + 0.3473. Put p, -8\/33, 3\/4, -5 in decreasing order.\nAnswer: 3\/4, p, -8\/33, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 1088, 3802, 9074, 17756, 30700?\nAnswer: 48758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/15))\/x**5*(x**(-2)\/x)\/(x\/(x*x**(-1\/10)\/x)))\/((x*((x**3*x)\/x)\/x*x**(-6))\/(x\/((x**(2\/9)\/x)\/x)*x**6)) assuming x is positive.\nAnswer: x**(343\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 720. Let y be -2*(-3)\/(6\/(-17)). Let b = y + 33. What is the highest common factor of b and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 357?\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 18645160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1651, 3302, 4953, 6604?\n\"Answer: 1651*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10220, 0.2, -36?\nAnswer: 10220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13592013 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -5) + 44 + 6. Suppose u*h - 61*h + 276 = 0. What is the remainder when 711 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z - 28. Calculate s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -530*w + 433*w + 7712567. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 26573.\nAnswer: -10\/26573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 13 - 14 = 0. Let i = w - -47. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 71 = -36 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9085 take away -1.504?\nAnswer: -9083.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 32 = -12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -897*g + 900*g + 2*t - 8, 0 = 2*g + 2*t - 2 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14, 10, -1\/4, 2\/7, -43?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/7 + 221*q\/7 - 222\/7 = 0. Calculate q.\nAnswer: -222, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + f**2 + 2*f**2)*(-14*f - 12*f + 43*f) + (-2 - 2*f**2 + 2*f**2 - f**2)*(4*f - 4*f + 2*f) + (5*f - 2*f - f)*(2*f**2 + f - f).\nAnswer: -15*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + a + 42. Let v = 103 + -114. Let h(y) = 5*y**2 - 3*y - 125. Let n(r) = v*g(r) - 4*h(r). What is the derivative of n(x) wrt x?\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 0 - (77 - 84) - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b**2 + b)*(-2*b - 5*b + 4*b) + (3*b**2 + 0*b**2 - 4*b**2)*(4*b - 6*b + 4*b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-390)\/66)*3*(-46)\/69.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2837.606 decades to years.\nAnswer: 28376.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i + 4*i - 2*d, -5*i - d + 67 = 0. Solve 2*f = -4 + i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 4*p + 0*p)*(-1 + 2 - 3)*(2*p + 2*p + 2*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 8. Let x be (-33)\/l + (-4)\/(-6). Let p be (212498 + 2)\/(x\/96). What is p rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 5735.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-18)*((-13199)\/(-335) + -40).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-73) - (-12482)\/34602.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let y(r) = r**2 + r - 2. Let m(f) = -5*h(f) + y(f). Let d be m(-4). Which is the nearest to d? (a) -2\/7 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k - 939. Let q be g(0). Let n = -542 - q. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (885\/19116)\/((-10)\/(-8))*-4*3\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*x, 5*i + 3*x = 4779. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + 0*s - 4*s + (-3*s + 5*s - 3*s)*(-78 - 66 - 343)*(-2 - 4 + 4).\nAnswer: -982*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -0.5549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1803219352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 10 = -2*i + 45, 3*y = 9. Suppose -12*k + 227 = -73. What is the highest common divisor of i and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/7 + 2*d**4\/7 + 2*d**3 - 26*d**2\/7 + 12*d\/7 = 0. Calculate d.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4128\/(-572) - (-2520)\/336 and 20\/429.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2*u**4 - u**4 + u**4) - 5*u**4 + 5*u**4 - u**4 - u**4 + 2*u**4 + 2*u**4 + 5*u**4 + 5*u**4 - u**4 + 3*u**3 - 3*u**3 + u**4.\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12075837101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -161. Let d be (6\/(-9))\/((-6)\/2007). Let s = d + f. What is s rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*n**3 - 5*n**2 - 2*n - n + 5*n - 19 + 8*n**2 - n**2 wrt n?\nAnswer: 462*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 298\/(-3 + 5) + -1. Suppose 62 + u = 6*i. Calculate the remainder when i is divided by ((-24)\/10)\/((-1)\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(3 + -5). Let p = 0 + -2. Let h = p + 1.6. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d + 45. Let w be m(-5). Suppose 348 = -45*h + 49*h - 4*u, 2*u - w = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(252)*2 - (0 + sqrt(112)))*-2.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*i**5 + 46*i**5 - 208*i**5 - 68*i + 1948*i - 194*i**5 wrt i?\nAnswer: -9760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 2, r: 1, y: 7, s: 2, l: 4}. Give prob of sequence srl.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1111*k**4 + k**3 + 156*k**2 - 2. Let f(h) = -h**4 + h**3 - h**2 + h - 2. Let l(i) = -f(i) + y(i). Find the third derivative of l(c) wrt c.\nAnswer: 26688*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (2*sqrt(637) + 2))**2 + (sqrt(13) + 0)**2*2 + -1.\nAnswer: 28*sqrt(13) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**3\/3 - 4*o - 19. Let k(n) = n + 0*n - 2*n. Determine k(z(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -132*c**2 + 0*c + 132*c**2 + 2 - 31*c**3 + 8 - 7*c. Let x(p) = 21*p**3 + 5*p - 7. Calculate 5*o(k) + 7*x(k).\nAnswer: -8*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 48 + -19 + (5 + -9 - -15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*k - 16856 + 1511, -5130 = -q + 4*k. What is the greatest common divisor of q and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1557.9\nAnswer: -1557.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100150652 (base 7) to base 16\nAnswer: 586898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*-2)\/(-3*(-2)\/(-3)). Suppose 0 = t*v + 8*v - 77. Suppose v*d - 858 = d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.68 times -0.6?\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318272262 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 2*c**2 - 2. Let o(h) = 4*h**3 + h**2 - 2*h - 3. Let z(r) = 8*r**3 + r**2 - 5*r - 6. Let s(q) = 5*o(q) - 2*z(q). Give -3*d(u) + 2*s(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3390 - -754. Is c a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792 is divided by 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-30 - -41) + 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -4*f. Let r be 1 - (-1 - (f + 1)). Calculate the greatest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92925*k - 5*c - 85 = 92920*k, -84 = -8*k - 5*c for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 284.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37291810.22 - 15.4.\nAnswer: 37291794.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 17 = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19220 and 3482540?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 9. Suppose -2*x + c = 8, x + 14*c = 13*c - 1. Calculate f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 9*q**4\/2 - 17*q**3\/6 + q**2 + 2462*q. What is p(1)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -10 - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 + -2.07. Let p = -22.9 - 5.1. Let i = p - -24. Which is the biggest value? (a) s (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 4:19 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453268*n**3 + 303785*n**3 - 985930*n**3.\nAnswer: -2135413*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 1\/8*n**4 - 1\/2*n**3 + 0*n + 87*n**2 + 0. What is r(13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**7\/70 - q**6 - 43*q**5\/20 + 41*q**4\/4 + 1207*q**2 + 3*q. Suppose o(p) = 0. Calculate p.\nAnswer: -2, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afa when three letters picked without replacement from fafafffafaaf?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o - s + 11, 3 = -o + 3*s. What is the units digit of 1*o + 2 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1476, -1\/3, 975?\nAnswer: -1476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Suppose 2*h + 0 = 4. Let l(g) = -g + 0*g - g**h + g. What is x(l(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3, -1\/5, -0.3, 1743, -1 in increasing order.\nAnswer: -1, -0.3, -1\/5, -1\/6, 3, 1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 130. Suppose 5*u + 0*u = 15. Let d = 6 - u. Calculate the smallest common multiple of y and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h + 3*g - 42 - 15 = 34*h, 7*g - 159 = -5*h + 5*g for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 43\/9, 1510, -331, 2\/7, -3\/4?\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*j = -8*j - 16, -n = -j - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3297 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = -52. Let i = z - 21. Suppose -7 - 8 = -i*t. Solve -t*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123144 (base 6) to base 8\nAnswer: -25510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-79.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 2*u**7\/35 + u**6\/15 - u**5\/5 - u**4\/3 + 15*u**2\/2 - 10*u. Let t(c) be the first derivative of m(c). What is z in t(z) = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98116226*h**2*r**5 - 1742*h**2*r - 19*h*r + r - 2 wrt r?\nAnswer: -1962324520*h**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -2.35997?\nAnswer: -4.71994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-138501)\/21) + (-34)\/119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3311 (base 4) to base 8\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 14*m = -18*m - 15*m. Solve 4*x + 3*f + 14 = 6*f, 4*x - 5*f + 10 = m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737809230*-0.5\nAnswer: 368904615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*g**2 - 9*g + 3*g + 6*g + 25 wrt g.\nAnswer: 56*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c + 20. Let f(l) = -l**3 + 9*l**2 - 9*l. Let p be f(8). Let z be s(p). Calculate the greatest common factor of 126 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314828947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 0.5 in increasing order.\nAnswer: 0, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-45)\/10)\/9 - 587626\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1836756738?\nAnswer: 2, 3, 17, 37, 162229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g + 6 = 0. Solve -5*o - 4*b = -8, o - 5*b = -g*b - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 7892420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(((-12)\/(-688))\/((-47)\/4)). Suppose -3643 = -32*q + a. List the prime factors of q.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 102.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124 + -712304?\nAnswer: -712428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*x + 15 = -0*b, 0 = 4*b - 4*x - 8. Let l = 2 + b. Let y be (12\/45)\/((-2)\/5). Put y, 5, l in decreasing order.\nAnswer: 5, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 131440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -12*k - 1. Calculate w(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 4, -2 in ascending order.\nAnswer: -2, 4, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 26 - 68 = 0. Let d be 144\/14 + n\/49. Differentiate 3 - d - 7*j**3 + 8 wrt j.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4.7, 0.1, -6, 1\/4.\nAnswer: -6, -2, 0.1, 1\/4, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492320 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 26 - 108 = -2*g, -g + 2*r = -r + 213 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27659.77256 + -0.5.\nAnswer: 27659.27256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1.03124, 1\/7?\nAnswer: 1.03124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 63*k - 64*k - 3. Suppose -5*i - 3*y + 40 = 0, -4*i + 3*y + 5 = -0*i. Let q = 1 + 3. Solve -i*m - 2*l + 0*l = 12, k = -2*m + q*l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from nrnoorhronnrroo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 349.565ng?\nAnswer: 0.000000349565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 83?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 3*p**2 - 12*p + 8. Calculate j(5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*q = -10, p - 4*q + 4 = -4. Let d be (-2)\/3*(7 + -13). Suppose d*j - 3*j = 20. Solve -3*f - m + 5 = p, 3*f = 4*m + 5 + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 44*q = -24. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2152 is divided by 2113?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(4\/((-8)\/4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020413359 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -390 + 402. Suppose 72*z - 66*z = a. What is the closest to -2\/7 in 4, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10213 (base 5) in base 11?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 114.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 925, 3575, 7841, 13603, 20741, 29135, 38665, 49211?\n\"Answer: -20*t**3 + 928*t**2 + 6*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29441023.\nAnswer: 53, 555491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723 times -221.23?\nAnswer: -381179.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in -0.1, 925, -3, 26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i - 76*i - 585 = -m, 5*m - 3*m - 10 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12202*o + 4*o**2 - 12202*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*q + 2 = -1, 4*q = -w - 17. Find the first derivative of -47*h**3 + h**3 + 31 + 5*h**w wrt h.\nAnswer: -123*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6651876 years to decades.\nAnswer: 0.06651876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**3 - 26*l - 2*l**2 + 0 + 1\/3*l**4. Determine h, given that b(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-24))\/((-1)\/78). Let w = m - 22. Let y = -4 - -6. Solve y*p = w*h + 18, 2*h = -p - 2*h - 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -845*z**3 + z**2 - 869*z - 2503. Find the second derivative of i(k) wrt k.\nAnswer: -5070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - n + 1. Let o(m) = 10*m**3 - 70*m**2 - 62*m - 10. What is 12*c(r) + o(r)?\nAnswer: -2*r**3 + 2*r**2 - 74*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13 - 29 + 47 - 3*y - 25. Let i(b) = b + 3. Let x(k) = 5*i(k) + m(k). Determine x(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*h + 17, 2 = q + h + 1. Factor 6\/5*n**2 + 12\/5*n**3 - q*n - 12\/5*n**4 + 6\/5 + 3\/5*n**5.\nAnswer: 3*(n - 2)*(n - 1)**3*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minus -0.1294?\nAnswer: 149.1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k + 124. Let p(s) = 28*s**2 - 62*s - 5. Let w be p(2). Calculate i(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012042 rounded to four decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.91 - 21.8. Let j = 4801.89 + -4799. Let q = j + g. Which is the fourth smallest value? (a) q (b) 1\/15 (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039750001 rounded to six dps?\nAnswer: 0.000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 25*n + 49. Let a be s(27). What is the nearest to -0.1 in 1\/5, 1, a, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a + 4. Let d(y) be the second derivative of -17*y**3\/6 - 11*y**2\/2 - y. Suppose 3*t + 3 = -9. Determine t*d(c) - 11*j(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113533746?\nAnswer: 2, 3, 109, 173599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*t - 52*t + 44*t)*(18*t - 37 - 3 - 17*t).\nAnswer: 14*t**2 - 560*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 2)*(1 + 0 + 0)*(-4*n + 2*n + 0*n) as z*n + y and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = p - 11*k - 66, 0*p - 24*k - 10 = 5*p + 4 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 0.4, -0.09, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2dec + 5b31?\nAnswer: 2c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -51. Suppose -3*r = i - 6*i + 14, -r + h = 5*i. Find the second derivative of -g**3 + r*g + 0*g**3 + g**3 + g**4 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q**2 - 25*q**2 + 55*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**6 - 9*l**6 - 6*l**2 - 2*l**2 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31646679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/1026*76\/(-114)?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f - 48. Determine t(19).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, 7, 602, 2, 10 in ascending order.\nAnswer: 1, 2, 7, 10, 30, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -24\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -14*p - 5. Let b(x) = 8*x + 2. Give 9*b(v) + 4*h(v).\nAnswer: 16*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/1342 + -326\/12749. Let y = -76\/2285 + 179087\/781470. Let o = y - f. Which is the closest to 1? (a) o (b) -4\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29907666293345 less than -0.2?\nAnswer: -29907666293345.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllppppppplplv. What is prob of picking 1 p and 2 l?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5173*q**2 - 100*q + 3. Let j(p) = 3*p. Determine j(a(t)).\nAnswer: -15519*t**2 - 300*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 6*v**3 - 10*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2\/11, 3\/8 in descending order.\nAnswer: 2, 3\/8, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*w - 10*w**3 + 16*w + w**3 + 3*w**2 - 3*w**2 + (5 - 2 - 2)*(2*w**3 + 5*w**3 - 4*w**3).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 29*u + 18. Let t be b(15). Suppose 41*o + 304800 = t*o. What is o rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by 572?\nAnswer: 83\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 23*a + 6. Determine v(13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3 - 16 - n**3 + 10 + 2*n**2 + 10*n. Let f be z(-7). Is (f - 1) + (1 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2631*m**2 + 7872*m**2 - 2609*m**2 - 2636*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-4) - 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -n - 133, -76 = p - 2*n + 60. Let x be (2\/(-7))\/((-120)\/(-210))*74. Let u = x - p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 366.\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-70)\/(-6)*(-96)\/(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21*4\/(-6) + -2. Let h(j) be the third derivative of -j**4\/2 - 8*j**2. Let v be h(-5). What is the greatest common factor of r and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -509551 or -3057307\/6?\nAnswer: -3057307\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*g + 12 = -145*g. Let w(c) = -c**2 + 2. Let p be w(0). Determine v so that 0 + 2\/3*v**3 + 1\/3*v**g + 1\/3*v**p + 0*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 5*m + 36. Calculate the remainder when a(5) is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598933390 to the power of 1\/3, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4) - 1) + 294\/56. Let j(s) = 187*s**2 - 5 - 188*s**2 + w. Let x(r) = 13*r. Calculate j(x(v)).\nAnswer: -169*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/(-2)*(-621)\/3. Suppose -6 = q - b. What is the highest common divisor of q and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -64*n - 4. Let t be y(-1). Let f be (-21)\/t + (-12)\/30. What is the biggest value in f, -1\/24, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6*-2 + -1. Let q = 23 - 16. Suppose -33 = -13*r - q. Which is the nearest to 1? (a) s (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 94*k. Let s(g) = 625255*g. Determine s(p(q)).\nAnswer: 58773970*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Suppose 3*f - o*y = 7 + 7, -4*y = 3*f + 22. Let a be 1 - f\/((-6)\/(-33)). Solve 3*r + a = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/3)\/(12\/(-36)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.8. Let i = -0.0285 - 0.0715. What is the closest to i in 1, h, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 540*s + 18224.\nAnswer: 4*(s + 67)*(s + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 428149 (base 14) in base 9?\nAnswer: 4208788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 350028612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o + 26*o + 611 = 0. What is the third biggest value in 2\/5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-17)\/(-85)*(-8)\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 11:08 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 6935030.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - -7) + 4223 + -4221 - -17?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004132904 to 5 decimal places.\nAnswer: -0.00413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)\/3 - -3. Let y(j) = j**3 - 4*j**2 + 2*j - 1. Let b be y(z). Let l = 3 - 2. Sort l, b, -0.4.\nAnswer: b, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26484143 to the power of 1\/2, to the nearest integer?\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/9 - 10814606*t**4\/3 - 32443817*t**3\/9 = 0?\nAnswer: -32443817, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 15546.\nAnswer: -2\/7773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -52016386*c. Let z(r) = r. Determine h(z(i)).\nAnswer: -52016386*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m. Let z(o) = -89*o + 38. Let u(x) = -5*l(x) + z(x). What is the first derivative of u(n) wrt n?\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1717312 + -1?\nAnswer: 1717311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -573, 5, 0.2, 3.\nAnswer: -573, -2\/3, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1\/9, 11698\/3, 0.\nAnswer: -14, 0, 1\/9, 11698\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287350 = 19*v - 287255 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(833))**2.\nAnswer: 28*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/6 - 3 - (-3678)\/18 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**9\/k))**(-17\/4))**(-1\/12))**(-40) assuming k is positive.\nAnswer: k**(595\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 79*m + 154. What is g(-37)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:31 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140*t + 137*t - 5 + 4)*(6*t + t - t) to u*t + l*t**2 + b and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*f + 2 - 14, 4*q = -5*f + 36. Let r = -9.9 - 1.1. Let v = r - -8. Which is the third smallest value? (a) q (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*w + 2192 = -573*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 555 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -6 + 2*(-2)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116634256*i**2 - 289*i + i**3 + 11*i**4 + 116634256*i**2 + (0*i + i**2 + 0*i)*(-2*i - 1 + 1)*(i + 0 + 0).\nAnswer: 9*i**4 + i**3 - 289*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/20424 and 97\/1760.\nAnswer: 4493280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 78 = -c. Let k = -23 + c. Suppose -3*u + 668 = 2*o - 0*o, -4*o + 1330 = k*u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 315794500 and -26798.\nAnswer: 315767702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 102. Let q = -46 - w. Suppose 0*u + 4*v - 52 = -4*u, -q*u + 42 = 2*v. Solve -23 + u = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.58 + -0.28. Which is the nearest to 1? (a) -0.03 (b) 3\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628713367 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 12*f**2 + 20*f - 15. Let c be v(11). What is the third derivative of -91*m**4 + 13*m**2 - 48*m**2 + 171*m**4 - c*m**4 wrt m?\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 3*r**4\/28 - 3*r**3\/7 - 3. Factor b(m).\nAnswer: 3*m**2*(m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efdddeededc. What is prob of sequence fc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 0, 2*y - 86 - 198 = -3*j. What is the remainder when y is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 1, r: 1, u: 1, n: 1, t: 1}. What is prob of sequence wut?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 6. Let q(v) = 6*v**3 - v. Let d be q(1). Suppose -3*y = d*w - 37, w - 2*y - 15 = -5. What is the third biggest value in -3, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + ((-6)\/45 - 1654\/(-30)). What is the highest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgc when three letters picked without replacement from cggggggcccccgcgccccg.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13942 - 13939. Let g = -28 + 42. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d + 2. Let k(u) be the third derivative of -13*u**4\/24 + 2*u**3\/3 + u**2. Suppose 16*j = 9*j - 42. Let m(f) = j*k(f) + 11*w(f). What is m(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.226767 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzkskspq. What is prob of picking 1 z, 1 s, and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1398 or 7?\nAnswer: -1398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630308 to the power of 1\/2, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 723464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 328021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827662 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1748\/86710)\/((-1)\/4 + 0). Let a = 181\/11 - 11732\/715. Let r = a + t. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((57 + -59 - (69 - (-2 + 3))) + 6)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 2321 = -2462 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 298925, 298927, 298929, 298931, 298933, 298935?\n\"Answer: 2*p + 298923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, -6, -75, -184, -339?\n\"Answer: -l**3 - 11*l**2 + 5*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/91 + 239\/182. Let l(f) be the second derivative of -1\/10*f**5 - u*f**3 + 0*f**4 + 0*f**2 - 5*f + 0. Find the second derivative of l(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*y = -679*y - 658 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 89*r - 76*r + 21892695 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 29*w**2 + 2*w - 54. Let o be y(29). Let r(q) = 2*q + 1. Let a(j) = -j. Calculate o*r(h) + 10*a(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/4 - 52\/(-36) - -2. Let w = 334\/63 - j. Solve 2*y**4 + 0 - w*y**5 + 4\/7*y - 6\/7*y**3 - 6\/7*y**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 881*s**4 - 119.\nAnswer: 3524*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4600 and 1625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*t + 0*t**2 + t - 423 - t**4 + 4*t**2 + 151 - 639 with respect to t.\nAnswer: -4*t**3 + 8*t + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 12. Let b be w(-8). Let i = 0 - -2. Let s = b + i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -690 - -711. Which is the smallest value? (a) 6 (b) 3 (c) -4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 2, q: 2, o: 1, n: 4, k: 7}. What is prob of sequence qom?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*o + 3*l, o - 6*o - 12 = 3*l. Let f = o + 5. Suppose 5*c + 2*n - 4*n - 2149998 = 0, f*n = 4*c - 1719998. What is c rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 210134?\nAnswer: 3\/210134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*l + 3 - 3*l + 4*l + 3*l - 4*l + 3 - 3 + (-2 + 1 + 3)*(-2*l - l + l) - 3*l + 2*l + 0*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*i - 2*i**3 - 2*i**3 + 241*i.\nAnswer: -4*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3.4, 24, 1, -0.147, 0.3, 2?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20357014*g**2*q + 7301442*g**2 wrt q.\nAnswer: -20357014*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.8507 litres in millilitres?\nAnswer: 88850.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 50 + 2166*y + 106.\nAnswer: 2166*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. Let h be ((-5)\/(-20))\/(2\/8). Suppose -h = -0*m - m. Calculate the lowest common multiple of m and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 13. Suppose 4*v + 5*x = 471, d*x = 5*v + 4*x - 591. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16029 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (70\/56 - (66681\/2356 - 27))\/(2\/10)\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 6*m**2 + 9*m + 6. Let x be i(-4). Solve -3*c = 4*l - 14, 2*l - 10 = -c - x*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvpvppvppp. What is prob of picking 1 p and 3 v?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 4*z + 2. Suppose 2*n + 42 = 48. What is u(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -65. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 56*o + 64*o - 121*o.\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -15) + -12 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5611*t**2 - 6323*t.\nAnswer: -11222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 20, -2, 5, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(8\/5 - 987\/(-705)). Solve -62*j + 61*j + 3 = n, -3*n - j - o = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250 + 246. What is the closest to 0 in -1, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 4659069*b - 4659066.\nAnswer: -3*(b - 1553022)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/14 + (-587876)\/523110.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86128 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.62 - -42.62. Let q = -2052.7 - -2095. Let z = q - i. Which is the biggest value? (a) z (b) -0.019 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - -15. Let h = g + -40. Suppose -h*z + z = -27. Solve -3*r = -b - z, 5*r + b = 5*b + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.305 + 0.156. Let x = 27337997 + -27337996.85100087. Let u = x + b. Round u to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -15*g - 180. Let c be y(-12). Solve c = 24*s + 9*s + 132 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4196*v**2\/3 - 41920*v\/3 + 400\/3 = 0.\nAnswer: -10, 10\/1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -19*q**2 + 0 + 0*q + 1\/72*q**5 - 1\/252*q**7 - 1\/144*q**6 + 0*q**3 + 5\/144*q**4. Solve w(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -17*y**4 + 4*y**3 + 4*y**2 - 3*y. Let l(d) = -d**4 + d**3 + d**2 - d. Let v(j) = -g(j) + 4*l(j). What is the second derivative of v(n) wrt n?\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 487.3 - 488. Suppose -3*h - n - 8 = 3, 3*n + 6 = 0. Sort -2\/15, a, h.\nAnswer: h, a, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 2, w: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6859525298 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2086 - 1199. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 60 = 0. Let o = -10 - r. Let u(v) = 2*v. Let z(m) = m. Calculate o*z(t) - 6*u(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1723*u**2 - 49*u**5 - 13*u**4 - 2395*u**2 - 2*u**4 - 4*u**3 - 812*u**2 - 9229*u**2 wrt u?\nAnswer: -2940*u**2 - 360*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -28. Suppose u + 5*p - 44 = -2*u, -40 = -c*u - 4*p. Let r = -7 - -29. Calculate the remainder when r is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -442.41 + 422. Let s = h - -20. Round s to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -1989d2?\nAnswer: 1989d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 41 = -56. Suppose -5*f = -5, 2*z - 3757 = -p*z - 2*f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 2 - 2 + (4*f + f + 4*f)*(4*f - 4*f - f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/4 + i**3\/3 + i**2 + i. Let v be t(2). What is the units digit of v\/(-4)*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w + 4. Let m be i(-5). Let z = -1\/16 + 3\/16. What is the nearest to 1 in m, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9802, -19496, -28976, -38134, -46862?\n\"Answer: 18*q**3 - q**2 - 9817*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 14*i - 56 = -3*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2055*o - 2045*o - 9120 = 0. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0 - 1\/180*o**6 + 0*o**3 + 1\/40*o**5 + 0*o + 6*o**2 + 1\/12*o**4. Let f(v) be the second derivative of d(v). Give f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from ibwpwoc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*y**5 + 9*y**5 + 23*y**5 + 79*y - 3*y**5 wrt y?\nAnswer: 1260*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 16, -5*m - 4 = r - 0. Let y = 3 - m. Solve 0 = -4*d + y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*g + 6*o - 10*o, -5*g - 5*o + 25 = 0. Suppose g*v = 3*v - 3*r + 3750, 5*v = 4*r - 6249. Let p = v + 2784. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*w + 12*w. Suppose -3 + 21 = 6*r. Suppose 0 = -0*u + r*u + 2*u. Put w, 1, -5, u in descending order.\nAnswer: w, 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1341 + 3735. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppxxxp. Give prob of picking 3 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3704066 = 4*p, -5*p + 2*b + 3359315 + 1270774 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 24*x - 75. Calculate s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**3 + f**2. Let q be b(-1). Let a(g) = g**3 + 2 + 5*g + 3 + 7*g**2 + 3*g. Determine a(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.2 (c) -1\/3 (d) 0 (e) 6\/13 (f) -16 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7593 + -5057. Calculate the highest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11702*z + 23348*z - 11690*z.\nAnswer: -44*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from bvagbngoa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a day in minutes?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019425 micrograms in milligrams?\nAnswer: 0.000019425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001012200 (base 3) to base 5.\nAnswer: -10021424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-12)\/6)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Let t(i) = i**3 - 4*i**2 + 3*i + 5. Let z be t(4). Suppose -4*j = u*r + 4, 0 = 3*r - 3*j - 44 + z. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:05 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2394696 to the nearest 1000.\nAnswer: 2395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 984, -2\/5 in descending order.\nAnswer: 984, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.0552 (b) -1\/22 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = 3. Solve -m*w = -5*j - 3, 0 = w + 5*j - 2*j + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/(c\/c**(-1\/4)))\/c)\/c*c**2*(c\/(c*((c**2*c)\/c)\/c))\/c*c*c**(2\/5))**(-3\/8) assuming c is positive.\nAnswer: c**(-9\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599246 is divided by 199642.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 + -3?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5138 and 26586?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -4\/5, -2, 6, -187, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llffzzfzszssfftfsslz. Give prob of picking 2 s and 2 z.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/6 - 3*d - 3. Let y(n) be the first derivative of t(n). Let v(l) = 4*l. Give y(v(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-49)*(1 + 25\/(-30))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931707057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111454741?\nAnswer: 19, 5866039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*u + 4 = 0, -5*d + 109 - 111 = -u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265272 and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3889 divided by 4\nAnswer: 3889\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -2\/3665 (c) -0.0215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34157449.\nAnswer: 857, 39857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 5. Suppose 2*x - 35 = 77. Suppose 36 = 2*l + m, 3*l - m = -2*m + x. Solve -i*a - l = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 24408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:33 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -6 + (12 - (-4 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0*o - 12*o - 12990 + 12969. Calculate v(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 + d**3\/6 + 3*d**2\/2 - d. Let s be i(0). Solve 4*u**2 + 4*u**2 - 3*u**3 - s*u**2 + 4*u - u**2 = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**4\/4 - r**3\/3 + 8*r**2. Let z(i) = 5*i - 2. Calculate 2*g(b) - 3*z(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 9:49 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/9)\/(9921\/1428624)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 55. What is the units digit of p(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*30917.\nAnswer: 1855.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3816 divided by 4.\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 340?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 29. Let z = -9 + p. Solve z*k = -2*k + 3*y - 7, 5 = -4*k + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.6*-26\nAnswer: -1419.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(8\/(-4)*6\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3332, -3334, -3336, -3338?\n\"Answer: -2*i - 3330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.383 * -0.12.\nAnswer: 0.52596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -331.776 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6, w: 1}?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:31 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 = 4*t - 1, 0 = 5*x - 5*t + 20. Is (-2 - -1)*x - -66 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from paaapaaaa.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3616, -6926, -10250, -13582, -16916, -20246?\nAnswer: -23566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361\/2513 + -2\/2513. Which is the biggest value? (a) 71 (b) -0.1 (c) o (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - g + 4*d + 542993 = 542965, 4*d + 33 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 5*x**2 + 6*x**3 - 5*x**3 + 3 + 0*x**3. What is r(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 52. Let d be w(-14). Let f = d + 50. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.661 + -26.1151. Round r to 3 decimal places.\nAnswer: 0.546","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2521740, -10086943, -22695616, -40347759, -63043372, -90782455, -123565008?\nAnswer: -161391031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -161, -149, -113, -41, 79, 259, 511, 847?\n\"Answer: 2*c**3 - 2*c - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 237*o**2.\nAnswer: -237*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 7}. Give prob of picking 4 f.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 3\/127?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 9*a**2 - 5*a - 13. What are the prime factors of s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:28 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3478544775 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815538915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o**2 + 51*o + 63. Let h be ((-52)\/8)\/((-2)\/(-4)). Let s(m) = -5*m**2 + 25*m + 31. Let z(l) = h*s(l) + 6*q(l). Is z(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 10) to base 8.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8440039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**3*t*y - 5*d**3*t - 19*d**3*y - 412*d**3 - 18*d**2*t*y - 104308*d*t - 2*t*y wrt d.\nAnswer: -96*t*y - 30*t - 114*y - 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6902, 25405, 55518, 97241?\n\"Answer: 5805*x**2 + 1088*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -3*r**3\/2 + 2*r - 59. Let z(x) = -12*x. Calculate q(z(m)).\nAnswer: 108*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/60 - p**4\/12 - 2*p**3\/3 - 5*p**2. Let j be f(3). What are the prime factors of 1\/(j\/1) + 19?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154.287 + -0.287. Let d = 154.000134 - v. What is d rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4, 5*b + k + 21 = -0*k. Let g(s) = 6 + s - 5 + 2*s**2 + 5*s. What is g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:03 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from {j: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*c = -4*u + 26, 3*c = 3*u - 24. Let x = 15.12 - 15. What is the fourth biggest value in 0, u, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13211 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -57*n + 74. Determine o(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-5 - -6 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - -17 - (-78 + (7 - -7))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d*g**3*h - 2420527*d*g**3 - 965*d*g**2 - 5*d*h - 21*g**2*h wrt g?\nAnswer: 18*d*h - 14523162*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**3 - 11*n**2 + 1 - 8*n - 2*n**3 + n**2 + 5*n**3. Is o(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + 17. Let r = 25 + -17. Calculate the highest common divisor of r and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3906788 divided by -314.\nAnswer: 12442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 + -178. Is (-49506)\/o + (-1 - 0 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5*w + 90 = 180 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -2)\/(4\/18). Let -6*h**2 + 2*h**2 + 18*h - l*h = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 7) + 1 + -126 + 133\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(440\/705) + 4\/22. Let i(g) = 1849*g + 8 - 1848*g + f. Let u be i(-21). Solve u = -4*k + 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Let x(t) = -3*t. Let j be x(-7). Let b = j - 16. What is the third smallest value in l, 1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -3394, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:40 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4063*b + 4014*b - 8134*b + b**3)*(0*b + 3*b - 2*b) as g*b**2 + k*b**3 + v*b**4 + o*b + f and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 5\/13, 4, 5, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 87 = -31. What is the highest common divisor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 6 = j, 3*j = 6. Suppose d = 2*d - 5, u*i + d = 17. Suppose 2*b - 30 = -i*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647472572 at most 647472573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621003*d - 1621003*d - 44*d**2 + 46*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -95*r**5 - 3495*r**4 + 14175*r**3 + 1620295*r**2 + 12233340*r - 35024220 = 0.\nAnswer: -22, -19, 42\/19, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1287 - 297. What are the prime factors of l?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -0.3, 11, 106.7, -10 in increasing order.\nAnswer: -10, -0.3, 11, 26, 106.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8728997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 280.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17*p**2 - 122*p + 25. Let w be l(7). Solve -6 = 3*x + 4*i, 12 = -w*i - 0*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2041453, 2041356, 2041259, 2041162, 2041065?\nAnswer: 2040968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n*(n\/n**(-1\/7)*n)\/n)**(1\/50) assuming n is positive.\nAnswer: n**(18\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -1\/420*u**6 + 0 + 0*u**5 + 0*u + 0*u**3 + 0*u**4 - 2*u**2. Determine r, given that f(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -171 (b) -6 (c) -7\/3 (d) -31 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 5, -214, 579 in decreasing order.\nAnswer: 579, 5, -3, -5, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -860450, -1720907, -2581366, -3441827?\nAnswer: -4302290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 1, k: 1, i: 1, h: 1}. What is prob of sequence vzi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000317199566 rounded to 7 dps?\nAnswer: 0.0003172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 29 = 23. Which is the nearest to 11? (a) 0.5 (b) -2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = x - 5*x. Let z(n) = 262*n - 5. Is z(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6603147 is divided by 5056.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 - (6 + -3 + -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*m = -94, 4184*t - 3*m = 4132*t - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4321894.\nAnswer: 2, 149, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:17 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 2\/(-4). Let u = 3 - n. What are the prime factors of 14\/2 - -3 - u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7220 rounded to the nearest one hundred?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2705 or 2704?\nAnswer: 2705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*z + 4*u, -5*z = 7*u - 6*u + 25. List the prime factors of 2\/(-3)*(z - 591).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 890\/3 (b) 0.9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -370, -524, -676, -826, -974?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 14*b - 229, 16*b = y + 13*b - 49 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 18 = 4*g. Let x = g + 10. Let z be ((-12)\/(-28))\/((-13)\/(-91)). Solve z*c = -x - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n - 50. Let v = -23 - n. Solve 4*a + z = -0*z + 13, -2 = -v*a - 2*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784010 is divided by 272.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, -1, 42\/41, 235\/34, 3.\nAnswer: -1, -2\/5, 0, 42\/41, 3, 235\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 115 - 64 - 31 - (40 - 3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 81836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.81137 + 3.825. Round d to 4 dps.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5191?\nAnswer: 5\/5191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -539283044*m + 848978914 wrt m?\nAnswer: -539283044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/32 + 139\/2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4. Let g = b - -2. Suppose 2*d + 2*i - 12 = 0, -2*d + 5*i - 16 = -0*i. Sort 3, d, g in increasing order.\nAnswer: g, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 37*g**2 + 14*g + 1 + 199*g - 192*g as t*g**2 + c*g + k and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a - v + 1 = 0, 0 = v + 5. Let n be (9792\/30)\/(a\/(-4)). Let s = -215 - n. What is the common denominator of -30\/11 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 26 - 17) + 2 + -44 + -4.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -28. Let o(c) = 2*c**2 + c. Let s be o(-1). What is the units digit of (s\/(-3))\/((-3)\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 734*m**2 + 6633*m - 518. Calculate k(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29843 = 94*p - 133431. List the prime factors of p.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25575 and 948321?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 3*m + 2*m - m**4)*(m - m - 20*m).\nAnswer: 20*m**5 + 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yay when three letters picked without replacement from yyayyxyxyy.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3*1154.\nAnswer: 3808.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20, -5 in ascending order.\nAnswer: -20, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*n + 14*n - 6052. Calculate the greatest common divisor of n and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9984 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*n - 28, -5*n - 3*s + 43 = -6*s. Suppose -2*k - 2 = 2. Let d be k\/3*-3 - -10. Solve -n = 5*g + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**2 - i**2 + 2*i**2)*(4 - 3 + 0)*(0*i**2 + 10*i**2 + i**2).\nAnswer: -66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*s - 0*f - 258, -f = -3*s + 387. List the prime factors of s.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150768 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t**3 - 1 + t + t**2 + 2*t**4 - 27*t**3 + 0 to the form i*t**4 + n*t**2 + h*t + s + w*t**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(3 - k - 3) - 15 - 11*k + 15 + (k + 2*k - 4*k)*(-1 - 4 + 7)*(1 + 1 - 4) + (2*k + 0*k - k)*(-3 - 1 + 2).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 - (-9)\/(-6). Let y be r + 6*(3 - 21\/9). Solve y*v = -2*h - 4 - 10, -10 = 5*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Suppose 3*w + 2 + 1 = 0. Let d be (-4 + 4)\/(w + 0). Which is the closest to -1? (a) d (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*465\/(-300))\/((-69)\/92).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5442117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378*k - 3092*k - 6052 = -54044 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 11. Let w be j(-3). Let h = 1 + -1.1. Let m be 33\/12 + 0 + -2. What is the nearest to h in m, 2\/7, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 14 = -5*j, 6761*b + 18 = 6766*b + j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Let m(f) = 5*f**2 - 4*f + 1. Let n be 5 - (-9 - -5 - -7). Let a(o) = 9*o - 4 + 142*o**n - 153*o**2 + 1. What is t*a(j) + 9*m(j)?\nAnswer: j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -724, -2\/257, -4\/3?\nAnswer: -724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 5. Let s(u) = 4*u - 11 - 7*u - 4*u + 3*u + 8*u. Calculate -5*r(m) - 2*s(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136051 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 2*u. Suppose 0 = -u*s + 91 - 19. Calculate the least common multiple of 15 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146110.77 minutes in days?\nAnswer: 101.4658125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358492, -716984, -1075476, -1433968, -1792460?\nAnswer: -2150952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*b**2*m**2 + 31*b**2 + 30721*b*m**2 wrt b.\nAnswer: -128*m**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 - 24*p + 12. Give h(5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -1137, -2661, -4801?\nAnswer: -7557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.899l?\nAnswer: 32899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*f + 31, 3*f - 4*l - 5 = -57. Let a be 25*(-2 - f) - (-22 - -21). What is the highest common divisor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8994013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980\/(-98)*(-4)\/(-14)*329\/(-2115).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (2 - 1065\/(-1059)). Let i = 106 - 105. Do n and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*h = -2*h - 14, 18 = 4*o - 2*h. Let q be ((-6)\/(-2))\/((-6)\/(-8)). Solve -q*v - 2 = -o*v, 4*i + 4*v = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228420 is divided by 122826.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2748, 0.3, 0, -28\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -218, -431, -646, -863?\n\"Answer: -c**2 - 210*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-11) + 5948\/(-44). Let w = f - -137. Let t(y) = -y + 1. Let d be t(3). Put d, 0, w in descending order.\nAnswer: w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -4 (c) 5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5248, 21006, 47270, 84040, 131316, 189098, 257386?\n\"Answer: 5253*i**2 - i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*g + o - 65, 52 = 4*g + 2*o. Is (-10304)\/(-35) + 9\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (-67 + (97 - 47)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 21071 - 59951 = 0. List the prime factors of x.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150963874 divided by -2.\nAnswer: 75481937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 409 - 404. Suppose 25 - 5 = 3*h - 2*u, 0 = 2*h - 4*u - 24. What is the second biggest value in m, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/2 of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-10) - 4\/(-10). Let j be h + 4 - (2 - -1). Suppose -j*w - w = -10. What is the smallest value in 4, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 times 16.5\nAnswer: 742.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = 16. Put f, -5, -1 in ascending order.\nAnswer: -5, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1564 - -855. Is 59 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 549771621 to the nearest integer?\nAnswer: 23447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42\/8 + (-3)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - (12 + (-2 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1090)\/10)\/((2\/10)\/1). Let b = 13628\/25 + h. Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffkffffff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(128) + (4*sqrt(128)*3 - sqrt(128)) + sqrt(128) + -5.\nAnswer: -7 + 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 + k - 3. Suppose -3 = u + 2. Let r be (-8)\/(-20) - 13\/u. List the prime factors of y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -2. Let g = -10579\/42284 - -2\/10571. Let b be -1 + 0 + 7\/6. What is the third biggest value in 0, g, b, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 1564?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(4\/(-32))\/((-55)\/2068)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + l**2 - l**2 + (-2*l**2 + l**3 + 2*l**2)*(3 + 2*l**2 - 3) + l**5 + l**2 - l**2 + 192*l**5 + 428*l**5 - 149*l**5 - l**5 - 2*l**5 + 0*l**5.\nAnswer: 469*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 5. Let a be f(-1). Solve 0*v + a*v**3 + 2\/5*v**4 + 0 - 2\/5*v**2 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 6*t - 8. Let q be b(-8). Let h be (-76)\/18 - q\/(-36). Calculate the remainder when 20\/(3 - h\/(-2)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 117734?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 0, 8 in increasing order.\nAnswer: 0, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (105\/(-30))\/(-14*(-6)\/(-480))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*o - 12, 2*a + 5 + 2 = o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20880 divided by -87?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044787 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-12\/5)\/u*u)\/u*u)**(-44) assuming u is positive.\nAnswer: u**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from aramhyaamrwy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2. Let m(p) = 33367*p**2. Determine y(m(j)).\nAnswer: 4453426756*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, 3, 94, 247, 474, 787, 1198, 1719?\n\"Answer: 2*n**3 + 13*n**2 - 12*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 25456*m + 6084148. Determine f(-239).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + p**2 - p + 1. Let b(h) = -4*h**3 - 3*h - 1. What is b(n) - o(n)?\nAnswer: -6*n**3 - n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -3*x, 63 = 5*j + 5*x + 23. Let m(s) be the second derivative of -2*s**3\/3 + 2*s**2 + 14*s. Calculate m(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 + 4*d - 4. Give n(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 154, 16.51, -0.07?\nAnswer: 16.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -2*x, g - 2*x + 3 = 3*x. Let w be 1\/(-1 - 10\/g). Suppose -7*i + w = -3*i. Solve -i = k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 - 5070\/273?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 15}. What is prob of sequence fvv?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 11*y = 524. Does 49 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4922813 centimeters to micrometers.\nAnswer: 4922.813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + ((-19 - -13) + 16 - -11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Suppose -1 = 4*a - v, 0 = -3*y - 4*a + 1. Let l be ((-2)\/(-4))\/(1\/(-4)). Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2383\/9 - -265. Solve f*v**3 + 0*v**2 - 2\/9*v + 0 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 6*c + 17. Let g(h) = 7*h**2 + 15*h - 34. Give -2*g(j) - 5*o(j).\nAnswer: j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyvyvvvvyvyyv. What is prob of picking 2 v?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -64*q + 2. Let d(p) = 244182 - 3*p**2 - 244182. Calculate d(k(u)).\nAnswer: -12288*u**2 + 768*u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(255\/(-34) - 24)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 4:22 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(63\/(9639\/(-204)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 divided by 62?\nAnswer: 985\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 19 - 109*j + 0)*(-j + 5*j - 2*j) to the form x*j + d*j**2 + t and give d.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 40 = -4*n + 3, 2*i - 45 = -5*n. Suppose -42*k + 49*k - n = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/60)\/(42\/(-420))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25987\/14588 - 9\/2084. Let r = 238\/33 + -1031\/660. What is the common denominator of l and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 539 and 3822.\nAnswer: 42042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1125)*-3.\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29494 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-55)\/(-11)*2\/(-35). Which is the closest to 1? (a) i (b) -3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15924957 is divided by 3981236.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332190?\nAnswer: 2, 5, 533219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0 = 12. Suppose -c*u + 2 = -i, -5*i = -i - 5*u - 25. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 30 (c) -103 (d) 154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 61. Let k = 180 + p. Does 31 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14869, -14863, -14857, -14851, -14845, -14839?\nAnswer: -14833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3435988086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = -35. What is the remainder when (-206)\/o - (-42)\/(-98) is divided by 14*1 - (2 - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ebb (base 16) in base 3?\nAnswer: 2001202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -176*r**2 - 2939*r + 866. What is c(-17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120027*y**2 - 246093*y**2 - 225409*y**2.\nAnswer: -351475*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/36513 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, v: 5}. What is prob of picking 3 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) - (1 - (-512)\/6). Is 45 a factor of (3 - v) + (-2 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4158012)\/30*-5 - 2. Round a to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1689, 2, -2, 3, -3 in increasing order.\nAnswer: -1689, -3, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1837*l - 80. Let t be r(21). Suppose -30*k + t = 6637. List the prime factors of k.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 7098 = -16*l. What is the highest common divisor of l and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 290. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 18. Let m = 7 + n. Let y = m - 1. Solve y = -0*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.517611 - 5.35\nAnswer: -39.867611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4420 by 6688.\nAnswer: -1105\/1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 9888*t**2 + 5970000*t + 175000000.\nAnswer: 4*(t - 1250)**2*(t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.138 + 0.062. Sort -3, 3\/4, f in descending order.\nAnswer: 3\/4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 11. Let p be g(11). Suppose -2*m = 4*y + 3*m - p, -3*y - 3*m + 21 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 2*v + 1. Let f be g(2). Let q = f - 0. What is the remainder when (2\/4)\/(q\/122) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 991\/(-109010)*2*-20?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 17*z**2 + 4*z + 21. What is the units digit of j(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/30 - (-156)\/10. Suppose 0*i = -4*i + c. Suppose -3*a - 9 = -i*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 + -2) - -1) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z + 48. Suppose 0*i + z = -3*i. Let j = i - -11. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let h(a) = 5*a + 4. Suppose 4*v - 11 + 3 = 0. Let o be 1 + 0 + 0 - v. What is o*h(z) - 4*j(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p - 7 = 76*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2. Let p(z) = 951*z. Determine p(q(y)).\nAnswer: -4755*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - o**4 + 2*o + 2 + 20*o**3 - 20*o**3 to z*o**2 + h*o**3 + u*o + r*o**4 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2508)\/(-594))\/(816\/(-9)) and 35\/96.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3648?\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18778, 18620, 18462?\nAnswer: 18304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 22*t - 4*x - 8 = 0, -3*t = -3*x - 24 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 5 + 0 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12284 by 1545.\nAnswer: -12284\/1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*b - 16 = 0, 2*b - 4 = -2*b. Calculate the remainder when 122 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 4090699420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 8. Let w be z(3). Suppose -7*b = -w*b - 213. List the prime factors of b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) + sqrt(152)*4*-1)) - (sqrt(152) - 2*sqrt(152))*4)\/(3*sqrt(88)\/(sqrt(132)\/(sqrt(300) + sqrt(12)))).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u + u - 2*u)*(4*u - 6*u + 4*u) - u**2 + 5*u**2 - 2*u**2 - 2 - u**2 + 2 - 1107*u + 1107*u + 625*u**2)*(3 - 3 - 2).\nAnswer: -1260*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/7)*d**(1\/2)*(d**(-1\/3)\/d*d)**(-32) assuming d is positive.\nAnswer: d**(523\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 22 + 6 = -4*h, -4*h = 376*p - 373*p - 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 16350*m**3 - 22276848*m**2 - 147150*m + 200491875 = 0. Calculate m.\nAnswer: -3, 3, 2725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 44999*i - 1. Let l(t) = -t + 2. Let r be l(5). Let f = -4 - r. Let c be w(f). What is c rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 286 = 4*s, -2*q = -3*s - 206 + 17. Suppose -34*l + q = -0*l. Solve 4*c = 2*w - 2 - 14, 5*w = -l*c - 25 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -233746, -233744, -233742, -233740, -233738, -233736?\n\"Answer: 2*y - 233748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -38*j - 810 + 167 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-33 - 3)) + (2 - 4). Let i = 35 - s. Suppose -4*w - 15 = -4*m + 17, i*m + 2*w = 50. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*-2 - sqrt(120)\/(sqrt(12)\/sqrt(2)))\/(sqrt(40)\/(sqrt(1440)*2)).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-96)\/3 - (-3 + 1). Let o be (-12)\/s - (-852172)\/20. Suppose -2*m + 39191 = -o. What is m rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/60*(3\/(-6))\/((-284)\/142).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*i**4 - 3*i + 3958 - 2015 - 1938 + 2*i**3 in the form l*i**4 + r + h*i**3 + q*i + j*i**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 - 2*v + 8. Let i be q(6). Let j = 6 + i. Suppose r = j*r - 5. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = 0. Suppose i - 295 = 2*a + 2, 5*i + 3*a - 1446 = l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -7*c - 767. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1 = k, -5*k - 4 = -2*o + 4. Let n(t) = -16*t + 1. Let l be n(o). Let v = l - 10. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*h + 27 = 3*l, -l + 5*h = -29. Suppose -l*a = -9*a + 10. Suppose -a*m = 1 - 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 58268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from thiottoottooohhhot?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -3, 162, 3\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:58 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((360\/(-175))\/(-12))\/(15\/(-50))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4061039.\nAnswer: 331, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -0*i + 4*i. Suppose 0 = 2*z + 3 - 1. Let a = z - i. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3738 is divided by 93.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2087882 divided by 4\nAnswer: -1043941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1) + (54\/(-10) - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 4:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6*g + 2)*(-g - 5*g**2 + 3*g**2 - 2*g**3 - 5*g) to the form t*g**3 + h + y*g**2 + s*g**4 + a*g and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3810 or -3814?\nAnswer: -3810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 - 43 - 1)*(-5 - 2 + 5)*(0*g + 0*g + g) + 4*g + 5*g - 11*g to c + z*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2736)*2 - -2*sqrt(2736)*-2)*1 - (4 + -4*(sqrt(2736) + 1 + -2)))**2 + 2.\nAnswer: -288*sqrt(19) + 10982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -5 + -2 + 5 + (66 - 73).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from utmuutuuvlvv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v - 8*v**2 - 1 - 16*v + 7*v in the form r + w*v + u*v**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 422*b**3 + 266*b.\nAnswer: 2532*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15140 plus 14?\nAnswer: -15126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 2\/17 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.7 + -41824.06404.\nAnswer: -41801.36404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*l**2)*(4 - 6*l + 10 - 15).\nAnswer: -18*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4, -5*f - 6 = -3*t + 5*t. Suppose t*l + 0*m - 14 = 2*m, -4*m - 14 = 3*l. Suppose -l*b + 14 = -16. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 31149 - 31149 + 50*m**3 - 24*m + 23*m. Give r(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 4*p + 310, -275 = -z - 3*p. Suppose -26*g - z = -28*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -4) + (36 - 5) + -5. Solve -8 - h = -6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.03. Round q to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 1, m: 3, k: 1, l: 3, q: 1}. What is prob of picking 1 e, 1 l, 1 m, and 1 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:08 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(35)\/sqrt(80) + (-1*sqrt(112))**2.\nAnswer: sqrt(7)\/4 + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*t = 22, -2*n - 5*t = -0 + 21. Let z = 22 + n. What is the units digit of 79\/z - (-2)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 - 2*m**2 + 4. List the prime factors of c(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/134, -1\/5, -0.5, 2.\nAnswer: -0.5, -1\/5, -1\/134, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506.39 - -116.61. Which is the smallest value? (a) 3\/2 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23246, -23802, -24344, -24866, -25362, -25826, -26252?\n\"Answer: j**3 + j**2 - 566*j - 22682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 269 divided by 346936\nAnswer: 269\/346936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017062299 to 5 decimal places.\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 1033.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -7 (c) -25\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31531871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6906 is divided by 224.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/15)\/(38*(-40)\/3420).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 662848, 662846, 662844, 662842, 662840?\nAnswer: 662838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -16 (c) 3 (d) 82 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000173769 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 122\/151, -37?\nAnswer: 122\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 280, 3, -3, 1338.\nAnswer: -4, -3, 3, 280, 1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -875806134*n + 309384236 wrt n?\nAnswer: -875806134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6*h - 3*h - 32, 4*h + 2*i = 44. Solve -z - 4*z + h = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (59\/36)\/1. Let f = b - 8\/9. Let z = 167 - 172. What is the third biggest value in f, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0 + 13*t - 2*t**2 + 2\/3*t**3 - 1\/12*t**4. Suppose r(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 12*h - 12. Let i be d(8). Suppose -i = 3*g - 8*g. Suppose -n + 13 = g. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15*21\/(17136\/(-32)))\/((-1)\/(-10))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(112) + (4 + (-1 + sqrt(112) - sqrt(112)) - sqrt(112)) - (sqrt(126)\/sqrt(2) + 5)))**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2268 and 2331.\nAnswer: 5286708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 21. Let d be q(-5). Which is the closest to d? (a) 2 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019800?\nAnswer: 2, 5, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**5 - 3*t**5 + 0*t**5)*(14 + 9 + 6) + (-t + t**5 + t)*(0 - 1 + 0) - 5*t**5 + t**5 + 2*t**5 + (3 + 2*t**2 - 3)*(-2*t**3 + 0*t**3 - t**3).\nAnswer: -96*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937647590913 less than 18?\nAnswer: -1937647590895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39090, -39185, -39280, -39375, -39470, -39565?\n\"Answer: -95*t - 38995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2931, -16.5?\nAnswer: 2931","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 0.04 (c) -2 (d) 7\/8 (e) -4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -13, -34 - 14 - 19 + 7 = 2*l - 7*s + 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 75*o + 185. Let z(w) = -2*w**2 - 38*w - 94. Let s(n) = 2*c(n) + 5*z(n). What is d in s(d) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14027 + -13940. Solve 46*u - s = -41 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42096900473 and -8.55?\nAnswer: 42096900464.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-2)\/((-19)\/((-855)\/216)). Sort -1\/3, -0.4, t, 4\/3 in descending order.\nAnswer: 4\/3, -1\/3, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 5:00 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2)\/sqrt(4) + sqrt(20) - (sqrt(20) - (1*sqrt(200))\/sqrt(10)))\/((-1*sqrt(112)\/sqrt(4))\/sqrt(7)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-4)\/(-8) + 1. Suppose 4*f - 20 = v, 0 = -0*a + 3*a + f - 11. Suppose -2*n - 12 = -a*s, -11 = 4*s + n + 2*n. Let o(g) = g**3 + g. Give o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 263888, 527855, 791822?\n\"Answer: 263967*o - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20874.\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 5*g + g + g + 0*g - 3*g + (27*g - 22*g + 39*g)*(-4 + 2 + 3).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 118434 = 5*o, -o - 78982 = 43*l - 45*l. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232 + -328. Let s = m + 98. Suppose 2*g + 7 = 5*t, -s*g - 1 = -g - 5*t. Let a(f) = f**3 + 5*f**2 - 5*f - 4. Calculate a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4905.\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*s = 72, 27*t + 150*s - 26 = 148*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*(sqrt(95) + -2*sqrt(95) + sqrt(95)))\/(sqrt(720)\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 149 - 21. Suppose 3*s - m = 2*v, 4 = s + 3*v - 5*v. Find the third derivative of -5*h**3 + 5*h**3 - s*h**5 + 35*h**5 + 20*h**2 wrt h.\nAnswer: 1260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*h + 18 = 0. Let t(z) = 13*z + 9. Let u(s) be the first derivative of 3*s**2\/2 + 2*s - 81. Calculate h*t(l) - 9*u(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, d: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -6 - (13 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -614, -603, -588, -569, -546, -519?\n\"Answer: 2*n**2 + 5*n - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n + 3*n + 3*n + 3 + 1. Let j(g) = -3. Suppose 0 = -a - 5*s + 28, 2*s - 7 = 4*a - 3*a. Let i(c) = a*d(c) + 3*j(c). Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.1. Let k = -5.9 + o. Let q be -1*((-5)\/(-2))\/5. Put q, -0.3, k in descending order.\nAnswer: -0.3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Let k = j + 0.8. Let m = 1.2 + k. Which is the second smallest value? (a) 0.5 (b) -5\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -20*i**2. Let p(a) be the third derivative of -a**5\/30 - 51*a**2. Give z(p(h)).\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**2 - 16*p - 18. Let x be n(-8). Let t = 1467 + x. Is t a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + (-24)\/(-9). Let n = 60 + -54. Let s = -4 + n. Solve d*r = 4*g - 23, -r + 1 - 10 = -s*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)\/(h*h**(-2\/41)) assuming h is positive.\nAnswer: h**(-275\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 498361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 17*s - 12 = 5*y - 21*s, -2*y - 2*s = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Which is the closest to 0.1? (a) g (b) -12 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:33 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -24.26. Let s = 0.094 - -0.046. Let o = s + n. What is the biggest value in -0.2, o, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -258 + 3 - 0. Let g = 668 + y. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from wwwuwuuuwwuwww?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/21 - 52\/105. Which is the closest to 0.02? (a) l (b) -26 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -761 - -8365\/11. Which is the nearest to -1? (a) -0.3 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616555 is divided by 95091.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, -2\/7, -1, 0.02, 104, 0.1, -2.47?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12744*w - 14248. Let t(u) = -12741*u - 14246. Let k(a) = 6*t(a) - 7*v(a). Differentiate k(p) wrt p.\nAnswer: 12762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 647776520 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/120 and -76\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556.271 kilograms in nanograms?\nAnswer: 1556271000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 6*k**3 + 2*k**3 + 6*k**2 - 5*k + 3*k to m*k + y + w*k**2 + n*k**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.95 - -30.89. Let a = g + -47.9. What is the nearest to 0.1 in -5, 0.3, 3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104885 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 4*l - 11*l - 1 + 4*l - 27*l. Let d(o) = 2*o. Determine d(c(j)).\nAnswer: -46*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/39))**(15\/2)\/(k**33*k\/k**(-1\/18)) assuming k is positive.\nAnswer: k**(-7879\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16149 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430999 times -65?\nAnswer: -93014935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -40. Let i = w + -52.4. What is i rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17da (base 16) to base 3\nAnswer: -22101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.37 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 3 (b) 2 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-12))\/(3\/63). Suppose 0 = -z + 2*s + o, 0*z - 2*z + 36 = 4*s. Calculate the greatest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 3*u**3 + 0*u**3)*(2*u - 2*u - 2*u**2 + u).\nAnswer: -4*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694182 is divided by 1157?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 415*a - 283. Let k = -731 - -739. Is i(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -542012 by 1514.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkckhezzk. Give prob of picking 1 c and 1 h.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*-12*5. Let c = 43 + s. What is the common denominator of -133\/6 and c\/(-18)*306\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3996? (a) 2\/149 (b) 0 (c) -1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 168*q**3 - 4*q**2 + 2*q + 5. Calculate f(-1).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 52*o**2 + 363*o + 7. What is the units digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1006696 and -47\/23807?\nAnswer: 7046872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030240 (base 5) in base 8?\nAnswer: -100653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/121356081 and 31\/875585?\nAnswer: 606780405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 95498010?\nAnswer: 477490050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -7. Suppose 107 + m = 4*b. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.79 - 27.18975. Let p = 0.4 + m. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*k**5 - 9*k**5 + 150*k + 8*k**5 wrt k.\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, 21\/17, 10, 16.\nAnswer: -2\/3, 1, 21\/17, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 10*q**2. Let o be g(10). Let v(m) = -m**2 + m + 3. Let h be v(o). Solve -h*t + 7 = -5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 + 10*q - 3. Let x(s) = s**3 + 1. What is j(n) + 3*x(n)?\nAnswer: -2*n**3 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.0058\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + q - 5 - 2*q + q. Let s(g) = 3*g. Let c(u) = -10*u - 1. Let z(i) = c(i) + 3*s(i). Determine -v(t) + 6*z(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v - 10. What is the units digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 - (-19 - -6)) + -7 + 0. What is the highest common divisor of h and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*v - 142*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-50)\/14)\/(14\/49). Suppose -3*o - 2*p + 12 = -p, -o + k*p = -11. Solve 0 = -o*m + 4*v + 11, -3*m - 4*v + 13 + 0 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4080 + 4078. Let m(y) = -5*y - 1. Let q(r) = -r + 1. Determine g*q(j) + m(j).\nAnswer: -3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 3. Let r(o) be the third derivative of -o**5\/30 - 75*o**2. Determine r(m(c)).\nAnswer: -8*c**2 + 24*c - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 1. Suppose 2*y + 554 = 4*u, -u + 5*y + 137 = 4*y. Let s = u - h. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c30 (base 16) to base 5.\nAnswer: -44440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 - 168*h**2 - 3*h**2)*(-10*h - 5*h - 8*h).\nAnswer: 3772*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96761 and 3563?\nAnswer: 49251349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*q + 9. Suppose 0 = 5*p - 143 - 232. Suppose 0 = -q*x + 3*x - p. Calculate the remainder when x is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6795\/(-3020)*6*1*(-4)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/5726 and -73\/238.\nAnswer: 97342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mmmmmmmmmmmmhhmmmmm.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9))**34*(((r\/r**(5\/9))\/r)\/r)\/(((r*r**(4\/15))\/r)\/r*r*r) assuming r is positive.\nAnswer: r**(-467\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, 2198, 0.1, 3 in ascending order.\nAnswer: -0.1, 0.1, 1, 3, 2198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.049 (c) -4 (d) 63\/82 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8))\/((-5)\/(-4)). Suppose -6 = -a - a. Solve 0 + 3\/5*o**a + 1\/5*o**4 + 3\/5*o**2 + k*o = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -16*j**2 - j - 12. Let x be i(10). Let r = x - -791. Round r to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*t - 2 - 24*t + 3*t**3 - 2*t**3 to q*t**3 + y*t**2 + u*t + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 5. Let u be h(8). Suppose -v = 3*f - u, -v + 4*f + 3 = -7. Suppose 8*y - 102 + v = 0. What is the lowest common multiple of y and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3879, -9783, -17717, -27681?\n\"Answer: -1015*k**2 - 2859*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = y + 2*u, 5*y + 5 - 25 = 3*u. Let l be y + (3 - -61) + 4\/(-4). Which is bigger: l or 62?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o, 3*o + 20074 = 2*j. Differentiate 145 + w + 10056*w**2 - j*w**2 + 3*w with respect to w.\nAnswer: 38*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2254 and -2.\nAnswer: -2256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/15 - -17\/30. What is the nearest to 0 in 3, -1, -2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1, 1\/5, 1, -4.\nAnswer: -4, -1, -2\/3, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, n: 3}. What is prob of sequence qn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 times -0.29\nAnswer: -0.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 312*j**2 - 22*j - 49. Is b(74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(6\/(-25))\/(4\/70)*10\/(-4)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 l when three letters picked without replacement from {i: 2, g: 1, l: 4, u: 1, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/10 and -27\/18629?\nAnswer: 186290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10223744008851 - -1.02?\nAnswer: 10223744008852.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m**3 - 8*m**2 - 28*m - 158. List the prime factors of c(-17).\nAnswer: 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -2\/7 (c) -1 (d) 2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 4, m: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 11*j + 17. Determine d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*j + 361 + 175, 5*d - 910 = 5*j. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + -5)\/((-4)\/(-10)). Let g be (1 + -2)*(s - 2). Calculate the greatest common factor of g and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1796)\/(-6) - 5\/15. Is 3\/6*(-1 + j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**3 - 206. Let y(b) = -19*b. Calculate h(y(m)).\nAnswer: 2166*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z = -73*z + 60*z + 364 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, -0.4 in decreasing order.\nAnswer: -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 8*b. Let y(v) = v**2. Let u(g) = g**2 - 2*g. Give b*u(n) + 2*y(n).\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3112?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1125 - -1138. Calculate the remainder when 94 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73843, -73939, -74051, -74179, -74323, -74483, -74659?\nAnswer: -74851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/9 - (-4)\/6. Let c = -1\/808 - -17979\/808. Calculate the common denominator of (120\/126 - 1)*606\/t and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1545, 3121, 4713, 6315, 7921?\nAnswer: 9525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 2. Let n = i + -3. Let z = -18610\/33 - -564. What is the second smallest value in n, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. Suppose 23 = 5*r - 5*q - 37, a*r = q + 22. Calculate the highest common factor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(340)*1)\/((2*sqrt(100))\/sqrt(10)))\/((sqrt(2)*1*-5 - sqrt(8)\/(sqrt(4) - (sqrt(4) + -1*sqrt(4))))*-6).\nAnswer: sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 26*x - 22. Let s be k(2). Suppose -25*b + s*b - 245 = 0. What is the greatest common divisor of b and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 20*d - 18*d. Which is the closest to -4\/15? (a) -0.2 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1162*d**2 + 1255*d**2 - 21*d - 14*d + (-4 + 1 + 2)*(-2 + 2 - 2*d**2).\nAnswer: 95*d**2 - 35*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h - 5. What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = 17*g + 41 - 41. Let a(t) be the first derivative of -t + 16 + 0*t**2 + g*t**3 + 9\/4*t**4. What is the derivative of a(j) wrt j?\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 5*a - 4. Let h be m(-6). Suppose 3*v + 5*o - 20877061 = -2877081, -3*o + 11999988 = h*v. Round v to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1609 + -1175. What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43333 + -403?\nAnswer: -43736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 9 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 9*m**2 + 158*m - 40. Is v(-11) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*t - 8, -3*t = 7*n - 2*n - 18. Let c(y) = -n*y + 3*y + 7*y**2 - 3*y**2. Let v(z) = 2*z. Determine c(v(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*t**2 + 5*t**2 - 7*t**2)*(-440 + 448 + 5*t**2 + 12*t**2) in the form q*t**4 + o*t**2 + x*t**3 + w*t + c and give q.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 21. Factor 0*p**2 - 2*p - k*p**3 - p**2 + p**4 + 14*p**3.\nAnswer: p*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -657.93 + 663. Let s = -0.07 + d. Let p = -439 + 442. Which is the third biggest value? (a) p (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0*k**2 + 5*k**2)*(930 - 930 - 74*k).\nAnswer: -148*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 28*w. Let s(a) be the second derivative of -a**3\/3 - 18*a + 3. What is o(s(v))?\nAnswer: -8*v**2 + 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 2, n: 1, u: 2, b: 1}. Give prob of picking 1 l and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9202 + 9444. Let i(x) be the second derivative of 8*x - w*x**2 + 0 - 1\/3*x**4 + 44\/3*x**3. Factor i(r).\nAnswer: -4*(r - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 equal to 575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3397, -7433, -11505, -15619, -19781, -23997, -28273?\nAnswer: -32615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**3 + 25*k**2 + 6*k = 0.\nAnswer: -6, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1574532727 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02085471432 rounded to six dps?\nAnswer: -0.020855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1693*x - 125281. What is l(74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00526971617 rounded to 5 dps?\nAnswer: -0.00527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n - 100. Suppose -b + 3*b = n. Suppose -4*g = -k - 28 + b, -3*g = 2*k - 19. Solve -25 = -k*i - 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -8*z + 441. Let m = 23 - z. Solve m*v = -13 + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 8*l - 2. What is the remainder when ((-1521)\/(-27))\/(-13)*(-5)\/(20\/24) is divided by v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20, -3, 10\/169, -115, -3\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19c (base 15) in base 14?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3 - 18431*k**2 + 9141*k - 576473426 wrt k?\nAnswer: 6*k**2 - 36862*k + 9141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05854 and 695042565.\nAnswer: 695042565.05854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-7) + 1 + (-5394)\/(-406). Let x(n) = 2*n**3 - 13*n**2 - 11*n - 19. Let j(z) = -z**3 + 6*z**2 + 5*z + 9. What is k*j(t) + 6*x(t)?\nAnswer: -t**3 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.41 - -11.31. Which is greater: f or 1\/347?\nAnswer: 1\/347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413515 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(180) + -2*sqrt(180))\/(sqrt(70)\/(sqrt(7) + sqrt(14)\/sqrt(2))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1146 and 53\/1910.\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(88)*1 + (2*sqrt(88) - sqrt(88))*2))\/(6*sqrt(96)\/((sqrt(96)\/sqrt(2))\/sqrt(4))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1431, -11768, -39877, -94650, -184979, -319756, -507873?\nAnswer: -758222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3309040 and 1631.\nAnswer: 771006320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 579*x**4 + 66*x**3 - 12810*x**2 + 13761*x + 26055 = 0 for x.\nAnswer: -5, -1, 3, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51194?\nAnswer: 2, 11, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20172 and 102.\nAnswer: 342924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**2 - 5*n + 6. Let s be (-3)\/(-15) - (-9)\/5. Let h be j(s). Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 13, 36, 69, 112?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 380 - 381. Which is bigger: v or 6\/427?\nAnswer: 6\/427","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c + 3*c)*(2 - 3 + 3)*(2*c - 5*c - 3*c) to the form j*c**2 + v*c + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 3. Let b(f) = -f - 1. Let v be (108\/(-108))\/(2 + 1 + -2). Calculate v*x(s) - 4*b(s).\nAnswer: 12*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 10) in base 14?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5720 is divided by 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 939600 by -58.\nAnswer: -16200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, q: 1, y: 1, n: 1, z: 3, d: 2}. Give prob of picking 3 w and 1 q.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 728711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101452 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*k**4 + 5\/4*k - 3\/4*k**2 + 1 - 5\/4*k**3 = 0 for k.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 76*a + 1457. Determine t(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 16*b**2 - 61*b + 275. Let s be x(13). Let f(u) = -13*u**2 - 45*u - 11. Let c(o) = -7*o**2 - 22*o - 6. Determine s*c(g) + 6*f(g).\nAnswer: -g**2 - 28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17885916 a multiple of 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3 + (sqrt(891) - (sqrt(891) + -1)*5)*6 + 4)*5)**2.\nAnswer: -334800*sqrt(11) + 12854422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 19 = 2*q, 49 = 3*s + 13681*q - 13679*q for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15051, -15054, -15059, -15066, -15075?\nAnswer: -15086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.419073 years to centuries.\nAnswer: 0.06419073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + w**4 + 2*w**4 + 1 - 2 + 0*w**2 + 2*w**4 + 0*w**2 + (-2 + 2 - w)*(2*w**3 + 2*w**3 - 3*w**3) - 53*w**4 - 10*w**4 + 19*w**4.\nAnswer: -40*w**4 - 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 28086 = 3*b + 3693, 0 = -11*b + 5*d + 89409. What are the prime factors of b?\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 14. Suppose x*d = 15*d + 110. Does 8 divide d\/(-3) - (-18)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = 3*t, 0*l + 5*l - 15 = -2*t. Let k be 57\/18 + l\/(-6). Suppose 5*r - 4*i = 11, 3*i - 2*i = k*r - 8. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30951 and 855.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -4\/3*a**3 + 0 + 14*a + 1\/12*a**4 + 1\/2*a**2. Let t(s) = -2*s + 28. Let c be t(11). What is r(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + u + 5*u)*(0 + 1 - 2) + 0 + 0 + 2*u + (4*u - 2*u - u)*(-2 - 3 + 6) + (-35 - 3 - 10)*(-4*u - 3*u - u) to the form b*u + g and give b.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9, -s + 4 + 3 = 2*w. Calculate the remainder when 256 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1681, -404, 875, 2156, 3439, 4724, 6011?\n\"Answer: n**2 + 1274*n - 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(-5 - 1 + 3 - 3*t).\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**(1\/13)*o)\/((o*o**(-9)\/o)\/o))\/((o**(-3\/8)\/o)\/o**(-9\/2)) assuming o is positive.\nAnswer: o**(1227\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -0*x, -2*x + 6 = 4*t. Suppose t*u + 8 = -5*f, -u = -4*f - 25 + 5. Sort f, 5, -5 in ascending order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 2*j - y, 5*j - 3*y = 17. Let m = -17 + 13. Which is the closest to j? (a) 0.4 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 47*b**5\/60 + b**4\/24 + 5*b**3\/3 + 13*b**2. What is the first derivative of g(m) wrt m?\nAnswer: 94*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 556*m + 6. Let b(s) = -23*s - 1. Determine -3*b(f) - d(f).\nAnswer: -487*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/1575*-49 + 2\/(-10)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/56 and -37\/28056.\nAnswer: 28056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3 (c) 3\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/z**(-1\/2)*z))\/z)**(2\/9)*(z**(-1))**(3\/22))\/((z*z*z**0)\/(z*z**(-5\/4)*z))**(6\/5) assuming z is positive.\nAnswer: z**(-239\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 - 3*a + 4. Let n be z(3). Suppose n*k + 576 = 4*s, k = 4*s - k - 570. Suppose 4*r - 633 = -s. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 5*h - 4*h**3 + 16*h - 9*h - 2*h. Let q(v) = -20*v**3 - 11*v. Let i(b) = 11*a(b) - 2*q(b). Let w(k) = -13*k**3. Give 14*i(d) - 4*w(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 19 - 310. Let j = -67 - q. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 8. Let x = -90 + 80. What is u(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*g + 9*g - 7030. Suppose 2*j + 6 = -0*j + 3*w, 0 = 2*j - w + 6. Does 25 divide g*(j + (-26)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, r: 8}. Give prob of picking 2 r.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 0.015, -4\/9, -2 in decreasing order.\nAnswer: 11, 0.015, -4\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1140996912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, 15, 4, -1 in increasing order.\nAnswer: -1, 1.8, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189519 is divided by 475?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1525, 2797, 4069, 5341, 6613?\nAnswer: 7885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k*l**3 + 82885*k*l**2 + 195350*k wrt l.\nAnswer: -3*k*l**2 + 165770*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*q = -37, 5*n - 33*q + 31*q + 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/73807225 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1011b0?\nAnswer: -1011b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*u + 346 - 63660 - 70006. Calculate the highest common factor of 352 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -112 (b) -1\/4 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10440 and -0.8.\nAnswer: -8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + (-12)\/16*56\/(-36). Which is the second smallest value? (a) 5 (b) 2\/5 (c) o (d) -2\/5 (e) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 19*i - 4*d = 22, -d = 5*i + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5011 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-1 + sqrt(30))\/(-2*sqrt(250)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464718 by 120.\nAnswer: 77453\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (-33 + 81 + 15).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.027, -2\/11, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 14*m + 5. Let t(a) = a + 4. Let s = 2 + -6. Let y be t(s). What is the third biggest value in y, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/20)\/(-3*(-1)\/(-4))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d + 3. Let u be -6 + (-12)\/(-4)*3. Suppose 4*g - 83 = -t, -2*g - 22 = u*t - 71. What is the remainder when r(-4) is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Let j = 2 - g. Let o be (-207)\/(-63) - (-6)\/(-21). Which is the smallest value? (a) -0.5 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 9984*m - 119939. Calculate q(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2391 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12468 rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -112\/54881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13462619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -0.5 (c) -2 (d) 2\/5 (e) -27.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629199 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 + 12*(-1)\/(-3) and 287.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 - 3*y - 6. What is v(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 2673*j**2 + 2*j**3 - 5*j**3 + 5364*j**2 - 2691*j**2.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 1. Let d(g) = -g + 7. Let a be d(7). Let b be f(a). What is the remainder when 1 is divided by -3 + 1 + 3\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let a(t) = -2*t + 1. Let q(i) = -3*a(i) - 2*v(i). Let x be 4\/(0 + 6\/3). Give q(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/95 - (-24)\/35. Sort 1, 0.1, v in descending order.\nAnswer: 1, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 1. Let s(t) = 3*t**2 - 12*t - 17. Let m(w) = 4*q(w) - s(w). Let k be m(-11). Solve -k*j = -l - 0*l, -5*j - 3*l - 22 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**2 + 171*l + 174. Give d(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/926751 and 45\/88262?\nAnswer: 1853502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*c**2\/15 + 508*c\/15 + 174\/5 = 0. Calculate c.\nAnswer: -1, 261\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(360))\/(sqrt(1152)*-1 + sqrt(8)))\/(-6*sqrt(45)\/((sqrt(560) - sqrt(35))\/sqrt(7))).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 264 = 2*a + 2*a, o = -4*a + 268. Suppose -17 = 5*p + a. Let i(u) = -6*u - 38. What is the tens digit of i(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6, -2\/33, -4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 55. Let y be q(0). Let n = -77 - y. Find the common denominator of 1\/14 and (-12)\/14*n\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 36*w**2 - 32*w - 156. Let l = -2 + 4. Suppose -5*u = -2*a + 21, -l = 2*u - 0*u. What is the remainder when x(37) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/200)\/((-10)\/(-12))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 8\/7*x**3 + 1\/140*x**5 + 82*x + 17\/56*x**4 - x**2 + 0. Solve p(s) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*f - 22*f**2 - 227*f + 692*f - 232*f.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:39 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618738 = h + 21262. What is h rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 2451?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93562 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8007, -63637, -214593, -508539, -993139, -1716057?\n\"Answer: -7944*n**3 + n**2 - 25*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*j + 36. Let g = 23 - j. Suppose 4 + 6 = g*k. Let d(c) = 3*c**3 - c**2 - 2*c - 1. Give d(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -22 + -2 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*d - 157*d - 24*d)*(-2 + d**2 - 2*d + 3*d + d).\nAnswer: -147*d**3 - 294*d**2 + 294*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 558933.\nAnswer: 2794665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 56. Let g(c) be the first derivative of 1\/9*c**3 + 1\/6*c**2 + z*c + 4. Find u, given that g(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1799\/4 - 318\/(-1272). Calculate the highest common divisor of 205 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -105. Let z = p + -9. Suppose o + z*t - 120 = -t, 3*o - 5*t = 304. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -230404?\nAnswer: -230405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3294124, -6588252, -9882378, -13176496, -16470600?\nAnswer: -19764684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.4 + 95. Let u = -0.02 - 5.98. Which is the second smallest value? (a) 4 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132271643?\nAnswer: 2132271643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.5. Let p(w) = -2*w - 9. Let l be p(-5). What is the nearest to 0.2 in t, l, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 2595.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -154*k + 479 + 277. Solve 3*z = -k*c + 17 - 12, z = -c - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*r + 7 = -8, f + 3*r = 9. Let d be 91\/28 + f\/8. Suppose -2\/11*z**3 + 0 + 0*z - 6\/11*z**d + 4\/11*z**2 = 0. Calculate z.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.123 - -62.877. Let s = -1801 + 1877.1. Let t = s - o. Round t to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -39*((0 - -2) + -3). What is the remainder when 37 is divided by (6\/(-9))\/((-2)\/k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c + 3*c)*(-87 - 78 - 6 + 36) in the form y + l*c and give l.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 + 20917*p**2\/5 - 109411591*p\/5 + 328046547\/5.\nAnswer: -(p - 10457)**2*(p - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 12 + 20 = 0. Determine j so that 1\/5 - 1\/5*j**l + 0*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13938 divided by 23?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let h(s) = -12*s - 14. Let l(k) = h(k) - 6*w(k). Let n(t) = 18*t + 12. Let b(f) = -8*l(f) - 5*n(f). What is the tens digit of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6)*(-3 + 401\/90). Let o = g + -1\/135. Let z be (4\/45)\/((-4)\/10). What is the closest to 0.3 in z, o, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Let r = -31.6 + 35.1. Let m = r - 5.5. What is the closest to v in 4, m, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 978 = -3*r. Let s = r + 1281\/4. Find the common denominator of s and -15\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 + 5. Let f(z) = -1. Let l be (36\/(-7))\/((-1)\/7). Suppose 2*g - 10 = -0*g, j - 5*g = -19. Suppose -j*m - 6 = -l. Give m*f(y) + x(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 3, p: 2, n: 2}. What is prob of sequence br?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2*f**2 - 114 - 4*f**2 + 0*f + 36 in the form b + n*f**2 + v*f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 47*n**2 - 343*n + 13. Let t be o(9). Solve 5*j = 3*i + 24, -2*j + 7 = -t*i - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169951 by 4.\nAnswer: 169951\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2 - s - 1. Let f be l(-1). Suppose -f = 2*z + 5. Let i(q) = q**3 + 6*q**2 - 6*q + 8. Let p be i(z). Sort 0, p, 4 in increasing order.\nAnswer: 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r**12)\/r*r)**(-7\/3))**(17\/3) assuming r is positive.\nAnswer: r**(-595\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*k - 23*k + 179*k + (1 + 2 - 1)*(-2*k + 4*k - k).\nAnswer: 292*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4815 - 4861. Which is the second smallest value? (a) 4 (b) 3\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/11, 1\/2, 2, -0.066?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2121*c - 2121*c - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 173a47?\nAnswer: -173a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -46*z + 119. Give a(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 232521 - 5?\nAnswer: 232518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 2. Calculate the smallest common multiple of 1 and q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 10032222300?\nAnswer: 10032222300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -9*i - 7\/12*i**4 + 0*i**2 + 7\/6*i**3 - 1\/20*i**5 + 0. Let t be j(-8). What is the greatest common divisor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 46776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - 0. Sort 3, g, 5.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31322, 31235, 31146, 31055, 30962, 30867, 30770?\nAnswer: 30671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -2. Let h be -2 - -6*(-2)\/(-3). Let t = 6 + h. Let u(r) = -11*r + 8. Let j(c) = -7*c + 5. What is a*u(y) + t*j(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10584 is divided by 1510.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1751248705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 124197 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1227 + 5*c - 7*c**2 + 0*c - 2*c - 1227. Let l(s) = -26*s**2 + 80*s - 86*s**2 - 31*s. Give -3*l(a) + 49*w(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 1 - 31 - 68*n + 57 as d*n + j and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/11 - 3701*k\/11 - 2030210\/11 = 0. Calculate k.\nAnswer: -485, 4186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from vvrxrvvvvvvrvvcrv?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-8 + -11 + 6 + 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 88 = -2*k, 0*u = -8*u + 6*u + 4 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/5 - 696\/(-15). Let q be (0 - 2)*p\/(-2). Round q to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -250. What are the prime factors of y?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21501 + -13?\nAnswer: 21444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(2\/59))**(-4\/33)\/(g**(1\/3)*g**0*(g**6*g)\/g**0) assuming g is positive.\nAnswer: g**(-4762\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -415*w + 419*w - 120. What are the prime factors of 4384\/w + 76\/(-570)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/14 - 8*f**3\/21 + 5*f**2\/7 - 4*f\/7 + 62. What is r in h(r) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1\/4, -22\/7 in ascending order.\nAnswer: -22\/7, -1\/4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -192919, 0, -2\/69 in descending order.\nAnswer: 0, -2\/69, -3\/2, -192919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-22)\/(-6))\/((-1)\/(-3)). What is the greatest common factor of d and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 3*t + 2. Let x(r) = -135*r**3 + 14*r**2 + 2502*r + 20. Let d(z) = 10*h(z) - x(z). What is the second derivative of d(v) wrt v?\nAnswer: 690*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721610886 by 120268481.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1769402 rounded to three dps?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 17*o + 3*o)*(-o**3 - 4*o**4 + 2*o**3 + o**4).\nAnswer: -45*o**5 + 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than or equal to 136.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*z = -8, -3*z + 2 = w - 2*z. Solve 4 = -0*s + w*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 48 = 22*n. Suppose 12*d - n*d - 4*m = 3324, -837 = -d - 5*m. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 25 - 2 + 2*y - 11.\nAnswer: 2*y - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 694*y**2 - 643*y - 2. Let l(t) = -t**2 + 5*t. Let j(r) = 3*l(r) - z(r). What is the second derivative of j(v) wrt v?\nAnswer: -1394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -41. Let i = h - 18. Solve 0 = i*f - f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/12)\/((-10)\/40). What is the remainder when 46 is divided by ((-1)\/x)\/(((-6)\/(-7))\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d1d (base 16) in base 12?\nAnswer: -b511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 10 + 5*p - p - 5*p**2 + p - 5*p**2. Let n = 402 + -404. Let s(i) = 2*i**2 - i - 2. What is n*f(q) - 11*s(q)?\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(155\/(-2)))\/(4 + (-448)\/110).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.566 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91139.34 millilitres in litres?\nAnswer: 91.13934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5811527910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3839512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 5:20 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 30*i + 600 = 0. Let j be (4\/5)\/((-5)\/(i\/(-6))). Suppose -f + 5*r = -13, 2*r = -f - f + j. Solve -f*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Let p be (0 - 1) + -2 + (-152)\/n. Let m = p - -77. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/9, -1\/2, -2, -14186.\nAnswer: -14186, -2, -1\/2, -0.3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, w: 1, j: 1, y: 1}. What is prob of sequence jwl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 182 = -3*r + 3*p, -4 = 2*p. Suppose 235 = 4*x + 23. Let t = x - r. Solve 6*j = t*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 55. What is the remainder when w is divided by (-180)\/(-16) - (-41)\/(-164)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 - f**5)*(22 + 38 - 218) + (0*f**2 - f**3 + 0*f**2)*(f**2 - f**2 - 2*f**2) - 2*f**2 - f**5 + 2*f**2 + f**5 - f**5 + 2*f**5.\nAnswer: 161*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/19*p**2 - 134\/19*p + 2\/19*p**3 + 68\/19.\nAnswer: 2*(p - 1)**2*(p + 34)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102157.\nAnswer: 11, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 70*c**2 - 1333*c - 4837. Calculate m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - ((-126)\/(-30) + (-1134)\/45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-11))\/f)\/f**(-12))\/(f**17)**(12\/7))**(-42) assuming f is positive.\nAnswer: f**1182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/98 + (-10)\/(-15)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and (237*14)\/(-11 - (-240)\/20)?\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -126*(-3)\/(-15)*(-10)\/2. Let q = z + -66. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 6*j - 5. Let l be g(8). Let b be 3\/(-6) - 2\/(-4). Suppose b = t + t - 22. Solve 5*r - 2 = 3*p + t, -4*p = -r - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 612330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqeneiix. What is prob of sequence ii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9*i - 1604 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0*b**2 + 0 + 1\/120*b**6 - 1\/12*b**3 - 3\/80*b**5 - 77*b - 5\/48*b**4 + 1\/168*b**7. Let w(l) = 0. Calculate l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59833 divided by -1865.\nAnswer: 59833\/1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 - 0.26. Let s = 0.4000062 - n. Round s to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Let j be ((-1)\/(-2))\/(1 + 6\/(-8)). Let t be ((-5)\/(-10))\/(j\/(-20)). Put -1, 0, z, t in increasing order.\nAnswer: t, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b + 2. Let o = 29 - 20. Let x be p(o). Let g = x + 108. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/6)\/((-26)\/(-1170)). Let k = -295 + 154. Let v = z + k. What is the remainder when v is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, 227, 3.\nAnswer: -3, 3, 24, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57427924 and 6062.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -42.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4886*d - 4888*d - 4894*d + 14671*d + 60.\nAnswer: 3*d + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 + 6642*r**2 - 2344178*r + 6972702 = 0. Calculate r.\nAnswer: -3643, 3, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9126, 9127, 9128, 9129, 9130?\nAnswer: 9131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10206038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 30*p - 130. Let h be o(-34). Solve 2*l - h = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2199816 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 22\/(-8))*11012 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*i**3*o - 2*i**2*o - 114*i*o wrt i?\nAnswer: -456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Suppose -4*m - a - 3 = 0, 2*m - 2*a - 9 = a. Let o be 1 + 0 + m + 3. Let z(h) = -o*h - 3 + 3. Calculate f(z(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.88 + 5.879993625. What is t rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w - 5. Let h be v(5). Suppose 4*n - 20 = -4, -3*n + 12 = -3*k. Suppose 1 = -4*t + 5. Which is the nearest to k? (a) h (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 160*l - 69. List the prime factors of u(46).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -94. Suppose d = 5*d - 60. Suppose 3*b + 2*b - d = 0. Solve c*l - 3 = b*i, 2*l - i - 2 = 3*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256333, -256758, -257183, -257608?\nAnswer: -258033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 18*y + 0*y)*(0*y + 2*y - 3*y) in the form w*y + h + s*y**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 8*z + 2. Let d(w) = 2*w**2 + 39*w + 13. Let t(k) = -3*b(k) - d(k). What is t(14)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0211 - -25.7989. Let j = y + -26. Let h = 0.08 + j. Which is smaller: h or -1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 47*r**4\/4 + 7*r**3\/6 - 10*r**2. Let z be j(6). Suppose 0 = -3*w - 5*p + 337 + z, 5*w - 3388 = -3*p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531985 = 152*m - 343991. List the prime factors of m.\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0602 - -12.6602. Let i = y - 7.6. Let z = 0.1 + 0.9. Put -0.1, i, z, -1\/2 in decreasing order.\nAnswer: i, z, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1217*y + 100 - 277 + 177 + 3 - 3 + 2*y + (1 - 1 - 2)*(2*y + 0 + 0) as p + a*y and give a.\nAnswer: 1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 247?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 10*o**2 + 5*o + 18. Let m be z(9). Let j be (-7)\/(-21) + (-2)\/m*-5. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2)*765\/27. Let y = b - 48. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 57. Suppose 3 = -3*b, -4*b = -3*i + 49 - 6. Suppose 15*j = i*j. Is 19 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 107, 112, 117, 122?\n\"Answer: 5*c + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1512\/10 - (-3)\/15*-1. Differentiate g - 85 - 27*c**2 - 15*c**2 with respect to c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 19*r - 447. Let c(v) = -4*v**2 - 23*v - 445. What is 4*c(d) - 5*o(d)?\nAnswer: -d**2 + 3*d + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154779675.\nAnswer: 3, 5, 2063729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -33. Suppose -4*q + 25 = 5*g, -4*g + 9 = -2*q - h. Suppose q = 6*c - 3*c - 12. What is the least common multiple of 22 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/4 of a decade?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b877 - -27?\nAnswer: -b850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1223 - -1228. Solve -4*x + 12 = -4*t, h*x - 6*t + 3*t - 15 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -64, -1\/6, 38337.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.93569481505 + -3?\nAnswer: -5.93569481505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3117 and 102.233.\nAnswer: 101.9213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 26*2\/4. Suppose p = t - 2*n, -2*n = 1 + 5. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*q - q + 273, 2*q = -r + 91. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/15666 and -53\/107051.\nAnswer: 642306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 u, and 1 d when three letters picked without replacement from {y: 1, u: 4, d: 5, n: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (11 - (17 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.4, 0.2, 488 in ascending order.\nAnswer: -0.01, 0.2, 0.4, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(720))\/(sqrt(900) - sqrt(900)*2) - ((sqrt(500) + 0)*2 + sqrt(500) + 2 + 1 + sqrt(500)))**2.\nAnswer: 252*sqrt(5) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 588*z**2 - 97*z + 733. Is p(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43558?\nAnswer: 2, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and 7.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 3*x - 3. Let b be 7819\/49 + -9*4\/(-84). Suppose 166 - b = c. Let q(m) = m**2 + m - 1. Determine c*q(k) - 2*l(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - 6*o + 6. Determine s(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -362 (b) -0.32 (c) -5 (d) -1\/16 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 5*q + 3. Let k be w(8). Let n = 17 - k. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-60)*(-180)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9394641, 9394633, 9394621, 9394605, 9394585, 9394561?\n\"Answer: -2*c**2 - 2*c + 9394645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-210) - (-3)\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x - 24*x**2 + 55*x**2 - 30*x**2 as l + i*x**2 + j*x and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - 853?\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 + 11)*(4 - 4*w - 6 + 3*w + (4 + 0 - 1)*(6*w + 2*w - 4*w)).\nAnswer: 33*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 35 + 45 = 0. What is the derivative of c*u - 19*u - 13 - 25*u wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 42351828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6057, -6019, -5937, -5805, -5617, -5367?\nAnswer: -5049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 11*u - 3 = 0. Which is the closest to 3? (a) -1\/3 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 16*m + 78 = -198*h + 203*h, -8 = 4*m for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145\/170593 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 + 2*m + 2. Let z(c) = 4*c**2 + 2*c + 2. Calculate -4*d(a) + 3*z(a).\nAnswer: -4*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*a + 3 = 0, -3*a - 2 = z - 0*a. Suppose 2 = i - z. Factor -i*p - 5*p**2 + 4*p**2 + 5*p.\nAnswer: -p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.0042 decades to months.\nAnswer: 72240.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190\/3 - -65. Suppose -3*h - 381 = 4*i - 85, 4*h - 2*i = -424. Let b = 308\/3 + h. What is the second biggest value in g, b, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6495*v**3 - 20774*v**2 + 3865*v + 6.\nAnswer: (v - 3)*(5*v - 1)*(1299*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 1:48 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4 + 42868*r**3 - 42869*r**2 = 0. What is r?\nAnswer: -42869, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72535*q**2 + 170914.\nAnswer: 145070*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4442 (c) 1 (d) -4 (e) -1 (f) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5718 + 13950 = 12*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 - (-3 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*28\/(-10))\/((-16)\/(-480)). Let u = -173 - m. Put 7, u, -3 in decreasing order.\nAnswer: 7, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let c(r) = -r. Let g(f) = 4*f. Let h = -2 - -11. Let d(b) = h*c(b) + 2*g(b). Give z(d(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 4*q. Let j(b) = -b**3 + 5*b**2 + 38*b - 20. Let g be j(-6). Suppose -147*r = -g*r + 1. Solve -q*z - t + 2 = 0, z - 3*t - r + 0 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let c(h) = 659*h - 1. What is c(i(b))?\nAnswer: 1318*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 6. Let a(q) = 1 + 36*q**2 - 19*q**2 - 16*q**2. Give -6*a(i) + f(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.951 - -0.6?\nAnswer: 1.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -70863\nAnswer: -35431.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 + 7 = 2*w. Let m = -86 + w. Factor 4\/3*j - 2\/3 + 2\/3*j**2 - 4\/3*j**m.\nAnswer: -2*(j - 1)*(j + 1)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from sssshhss.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 + 6*r + 11. Let s(b) = -4*b**3 - 6*b - 12. Let n(m) = -5*s(m) - 6*u(m). Let c(v) = v**3 + v + 1. Let t = -2 + -4. Give t*c(z) - n(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -8.\nAnswer: -8, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1246 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 -555201 - -3?\nAnswer: -555187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.824688 tonnes in milligrams?\nAnswer: 8824688000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 divided by 292?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/15, 0, -2, -2\/5, -1\/14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*w - 24, -5*y + 48 = w + 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(8\/1))\/((-15)\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230203 (base 4) to base 5.\nAnswer: 42401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {p: 4, o: 1, k: 1, n: 10, y: 3}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5b6 (base 13) to base 7\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27088 divided by -1\nAnswer: -27088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/856 and 109\/33000?\nAnswer: 3531000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**9\/80640 + h**8\/20160 - h**7\/5040 + h**5\/15 + 4*h**2. Let l(g) be the third derivative of x(g). Factor l(r).\nAnswer: r*(r + 2)*(3*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -117\/40?\nAnswer: -117\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 328042476 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:39 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 881599 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-2 - 45 - -18).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6636 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2027 + 3661. Suppose 19554 - k = 20*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose 104 = 52*t + 4*t + 384. Put m, -2, t in increasing order.\nAnswer: t, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((((sqrt(931) + -1)*5 - sqrt(931)) + sqrt(931) + sqrt(931) + 0 + 5)**2 - ((sqrt(931) - (-1 + sqrt(931))*-6) + (1 + 2*sqrt(931) - sqrt(931))**2)).\nAnswer: -63*sqrt(19) + 32591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 44 = -y. Solve -p + 15 - 1 = 3*r, -2 = y*p - 4*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4432252 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1328 or -1326?\nAnswer: -1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 22440690.\nAnswer: 44881380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:08 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 6*v**3 - 10)*(5*v - 80 + 124 - 12).\nAnswer: -30*v**4 - 192*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6771698.89 rounded to the nearest ten thousand?\nAnswer: -6770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -836 + 837. Which is greater: 5\/56 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 219681 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -31. Suppose -l + 2*l = 0. Let h(w) = -w**2 + 22. What is the remainder when h(l) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 358213*d**2 - 96237594133*d + 288711707761\/3.\nAnswer: -(d - 537319)**2*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 19 = -2*p, -5*p + 5*s = 25 - 110. Let m be (1 + -1)*(5 + -4). Suppose -4*c + m*c + p = 0. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 9. Let n be l(10). Let v be 0\/(n\/(-1) + -1). Differentiate v*z**3 + 6*z**3 - 12*z**3 - 19 - 9*z**3 wrt z.\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 + 4*y**3 - 3*y**3)*(-115 + 112 - 4*y + 6*y + (-2*y - y + 4*y)*(-2 + 6 - 1)) to v*y**3 + a + z*y**4 + p*y**2 + s*y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1494, -1495, -1496, -1497, -1498, -1499?\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*x = -2436, 1938 = -4*g + 8*g - 2*x. Let w = 491 - g. Factor -16\/5 - 4\/5*q**w - 4\/5*q**2 + 4*q**3 + 4\/5*q**4 - 32\/5*q.\nAnswer: -4*(q - 2)**2*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p + 1. Let y(r) = -4*r**2 - 10*r - 10. Let u = -41 - -31. Give u*c(w) - y(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = -f - p, 0 = -3*f - 4*p - 34. Let h be (-8)\/f - (-20)\/14. Suppose 6*c - h*c = 12. Solve 0 + c = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.61 - 1.7. Suppose -67 - 873 = -169*m - 95. What is the third biggest value in n, -0.2, m, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3))\/(h*h**2)*(h**(1\/4)\/h)**(-3\/25) assuming h is positive.\nAnswer: h**(109\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/12408 and -103\/4512.\nAnswer: 49632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 6*z - 63. Let n = -17 + z. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 17. Let l be (-1)\/2*(-1 - 25). List the prime factors of t(l).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -36. Let l(y) be the third derivative of -3*y**2 + 0*y + 1\/120*y**6 + 0*y**3 + 0 - 1\/60*y**5 + 0*y**x. What is the third derivative of l(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 5*g - 2*g)*(-3*g + 3*g - 2*g) - 2 + 2 + g**2 + 247*g**2 - g - 989 + 503 + 490.\nAnswer: 246*g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -865000. What is u rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92537792 is divided by 562.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/((-1)\/5). Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o. Suppose q + q - 6 = o. Let v be 135\/(-36)*-2*(-1)\/(-5). Is q greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4110351647 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19.3 times 78349\nAnswer: -1512135.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)*1)**2 + (6*(sqrt(77)*-2 + sqrt(77)))\/sqrt(7) - ((sqrt(2112) + 1*sqrt(2112))\/(-1*sqrt(300)))**2.\nAnswer: -6*sqrt(11) + 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 20 = 24. Let k be ((-7)\/(-2))\/(2\/4). Suppose -2*x - d = -2*v, -v = 3*x - 15 - k. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*r = 3*w + 289*r + 6, 4 = 2*w - 4*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-24)\/10)\/((-45)\/300) and (-9)\/2*16\/(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - 1332112203?\nAnswer: -1332111332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6760 is divided by 814.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r**3 + 2*r**2 + r. Let y be u(-1). Let d(l) = -3*l + y*l**2 + l - 9*l**2. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 2. Let l(g) = g**2 + 2*g - 6. Calculate -2*c(s) + l(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 144?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 2389\/77707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:33 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 3*o**2 - 8*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52596 * -174.\nAnswer: 9151704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 4, 3 in descending order.\nAnswer: 20, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -0.5 (b) -6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8234726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 84. Sort 0.03, 3\/4, z, 2\/5 in ascending order.\nAnswer: 0.03, 2\/5, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(sqrt(40)\/sqrt(4)) - -1*sqrt(132))\/((sqrt(24) + sqrt(864))\/sqrt(8) + (sqrt(48)\/sqrt(2))\/sqrt(8)) + -3)**2.\nAnswer: -9*sqrt(11)\/4 + 675\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 377\/5? (a) 4 (b) 5284 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23358)\/(-9847))\/(12\/(-258))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140\/(-1755) + (-4)\/(-26). Let m = -0.38 + -20.62. Let a = 21.1 + m. Is x equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 106*v + 12. Let l(w) = 424*w + 44. Give -12*l(j) + 44*p(j).\nAnswer: -424*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuquuuuq. What is prob of picking 1 q and 1 u?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18926, 37832, 56644, 75314, 93794, 112036, 129992, 147614?\nAnswer: 164854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 - -1) - -1. Let h(x) = -x**2 + x - 1. Let y(u) = -10606 - 11*u + 10603 + 15*u - 4*u**2. Calculate i*h(w) - y(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 5*k + 15. Let c be f(-4). Let h(d) = -4*d**2 - 1 - d**3 + 4*d**2 + 0*d**c. Let j(q) = 8*q**3 + 12. What is -12*h(r) - j(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12575 - 4?\nAnswer: 12571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 754, 838, 932, 1042, 1174, 1334?\n\"Answer: q**3 - q**2 + 80*q + 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85517, 85542, 85563, 85580, 85593?\nAnswer: 85602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -15*w - 6. Suppose -n + 23*n + 22 = 0. Let p(m) = 3*m + 1. Let k(q) = n*u(q) - 6*p(q). Let f(b) = 13*b**2. Determine f(k(l)).\nAnswer: 117*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 0 - (290 + -289)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20030 greater than or equal to 80121\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44916894 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/(a\/((a\/(a\/a**3))\/a))*a**(2\/17)*a*a**(-15)*a)**(12\/5) assuming a is positive.\nAnswer: a**(-11712\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 460489 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 896 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:19 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/7, 1\/6, 6074, -5.\nAnswer: -5, 1\/7, 1\/6, 4, 6074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3180*g**3 - 962*g**2 wrt g.\nAnswer: 19080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76729633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 8*s**2 + 2*s + 8. Let u be d(-8). Let y be (-8)\/(-10)*(-180)\/u. What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 0.8, -2\/3, -2\/459?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78*(-6)\/(-4) - 3. Let a be -1 + 3 + -2 + p. Suppose 6 = 2*s - a. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-767)\/(-52) - 11)\/((-51)\/(-136))*(-6)\/(-50).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -737 - -228?\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2534496\/103 - 227688473\/9888. Let u = -4742\/3 + z. Find the common denominator of u and -73\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + d**4 - d**4)*(8*d - 7*d + 39*d) + 219*d**3 - 219*d**3 + 18*d**5 + (2*d**4 + 0*d + 0*d)*(-2*d + 3*d + d) + 4*d**5 - 3*d**5 + d**5.\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 + -5. Let r = -142 + c. Solve -6 = -2*w - r*t + 8, t = -3*w + 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 691542 + -691500. Suppose 0 = -3*v + v + 34. Calculate the remainder when o is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.11 - -5. Round a to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**6*(z\/((z*z*z\/z**(-1\/3))\/z))**(-25))\/((z**(1\/2))**(-33))**(1\/7) assuming z is positive.\nAnswer: z**(1499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*o + 7 = 0, 0 = -g + 4*g + o + 9. What is the smallest value in 0.2, -125, g?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933779041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 - f**3 - 4*f**3 + (-2*f**2 - 3*f**2 + 2*f**2)*(16 + 15 - 17)*(2*f - 3*f - 2*f).\nAnswer: 115*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/42*(-7)\/((-63)\/(-12))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n - 4*n + 2*n**2)*((-4 + 2*n + 4)*(1 - 1 + 2) + 994*n - 13*n + 428*n) to v*n**3 + t*n**2 + b + c*n and give v.\nAnswer: 2826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6859542 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5838666 and 73956436?\nAnswer: 221869308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44785, -89464, -134109, -178726, -223321, -267900?\n\"Answer: -w**3 + 23*w**2 - 44741*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 16 + 32. Let p = -11 - -18. Suppose -p*b = -t*b + 797. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:44 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3 + 235635*h**2 - 680586*h wrt h?\nAnswer: 12*h + 471270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5+-260.2\nAnswer: -255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - 4*m + 3*m)*(2 + 1 - 2) + 4*m + 3 - 3)*(-1 + 3 - 1).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -2\/7, -80 in decreasing order.\nAnswer: 4\/9, -2\/7, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280414392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 52*t**2 - 2*t + 4*t**3 + 53*t**2 - 3*t**3 + t**3 as d*t**3 + u*t**2 + y*t + k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9 = x, x = -0*x - 3*w + 7. Let c = x + -3. Let d = 2 + c. Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let c be s(4). Let d be 2\/12 + 1\/12. What is the nearest to d in c, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12324\/7 - -1760. Let f = 0.25 - 0.2. Which is the biggest value? (a) f (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/144*76)\/((-1085)\/(-1953)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + -6 + 1480 - -3 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 212 + 200 = 0. What is the greatest common divisor of 32 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x - 1. Let u be g(-1). Solve l - 10 = u*r, r + 2 = -l - 2*r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26620558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011100111000110 + -1011110?\nAnswer: 101011100101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2.8. Let v = -2.22 + 2.62. What is the second smallest value in v, u, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4502 rounded to two decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -14 + 42. Let q be ((-48)\/(-40) - 1) + 248\/10. Let c = q - z. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 + -0.15. Which is the fourth smallest value? (a) 0.05 (b) g (c) 2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:52 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(j**3 + 4*j**3 + j**3) + (2*j - j - 3*j)*(338*j**2 + 103*j - 103*j) to d + u*j + n*j**2 + k*j**3 and give k.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 2, y: 1}. Give prob of sequence any.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 395876.\nAnswer: 1\/395876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 11. Let z = g + -15. Suppose 4*t - 2*o = z*t + 13, 4*o = -t + 13. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 291*b. Let c be 1 + 0\/2*-1. Is h(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2224774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -c - 5, -3*h + 4 = -3*c - 11. Solve -12 = 3*k - h*v + 3*v, -2 = -3*k + 4*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m - 10*m + 18*m - 3*m**2)*(-3*m + 4*m + 3*m) + (4*m + 0*m - 2*m)*(0*m**2 + 0*m**2 - 2*m**2) - 5*m**3 + m**3 + 3*m**3.\nAnswer: -17*m**3 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 1, m: 1, r: 1, d: 1}. What is prob of sequence fgm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22864 and 67443084?\nAnswer: 5716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58777950 and 109050.\nAnswer: 58777950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3*r**5\/4 - r**3\/6 - 14*r. What is the second derivative of n(k) wrt k?\nAnswer: -90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a8a69 (base 12) in base 8?\nAnswer: -3544761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.61 - 2.16. Let d = g + 5.5. Is 4 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 55 - 110 = 0. Which is smaller: n or 32\/3?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h + 3. Let m(u) = 5242 + 5234 + 7*u - 10472. Let y(x) = -x - 1. Give h*m(i) - 5*y(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4)\/w)\/w**2)\/w**(2\/31))\/(w**(-1)*w*w**(-1\/4)*w**(2\/17)*w*w**2*w*w) assuming w is positive.\nAnswer: w**(-25153\/2108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54410 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x**2 - x. Let p(v) = 14*v**2 - 2*v. Suppose 0 = -5*m + 11 + 4. Suppose 0 = -2*a - 4*w + 14, -w + m*w - 17 = -3*a. Determine a*p(j) - 8*d(j).\nAnswer: -2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - 103013124?\nAnswer: -103013013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-268)\/(-6). Let g = 11 + -31. Let x = g - m. Calculate the smallest common multiple of x and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66690\/1287 + (-4)\/(-22)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3555 and 0.2?\nAnswer: 0.0711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67680 and 7290?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1401294696 to the nearest integer?\nAnswer: 37434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b**2 - 13*b - 13. Let i(q) = -4*q**2 - 3*q - 3. Give 26*i(u) - 6*n(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 3a87da?\nAnswer: -3a8809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455 by -7.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -12. Let d = y - -6.1. Let j = -0.1 - d. What is the second biggest value in 4, j, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-10 - 4)) + (6 - -24).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*i - 39707 = 817*i + 66*i for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129*u + 3*u**3 - 60*u**4 + 133*u + 151*u**4 - 4491 - 59*u**4 wrt u?\nAnswer: 128*u**3 + 9*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 876*u**3 + 1104*u**3 - 78*u + 6999 + 78*u - 9477*u**3 with respect to u.\nAnswer: -22491*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 315*s + 12. Let b(q) = 105*q + 4. Let k(j) = 7*b(j) - 2*m(j). Is k(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3267963 to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u + 18. Let o be l(-6). Solve h = -r - o - 3, 10 = -4*h - 5*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1402744 and 151648?\nAnswer: 5610976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 10) to base 13.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3462*n + 1083699 = -3381*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3535 is divided by 85?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5263464 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 267*b + 562. Calculate the remainder when a(0) is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63490031299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213052 (base 6) in base 3?\nAnswer: -10021001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99286 is divided by 253.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-2))\/((-3)\/(-9)). Suppose -p*x - 5*o = 26, -2*x + o = -x - 2. Does 2 divide (-8)\/x - -1 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 45. Calculate j(25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 4*d - 9*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -4*k - 70 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82107157.\nAnswer: 11, 383, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from ornrrozzooorororrr?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/9)*m**22)\/(m**(2\/21))**30 assuming m is positive.\nAnswer: m**(1283\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-225)\/(-20)) - (-206)\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) + 11\/3. Suppose -g*f = f - 80. Suppose -6*a + 2*a + f = 0. Solve -x + 6*x = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 29.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j + 599. Determine w(63).\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -88. Let k(q) = -q**3 - 19*q**2 - 36*q + 16. Is k(a) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*g**3 - 70864 + 70864.\nAnswer: -761*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 0*d + 5*d - 12*d + 347 - 347 + d - 15*d + 3*d + (0 - 3 + 4)*(1 - 1 + 2*d) - 2*d + d - 2*d to f*d + t and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-84))\/(3\/12). Suppose 4*z - 2*z = 0. Let o = -2 - z. Which is the smallest value? (a) d (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12290719 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31146794*d**2 - 62293577*d**2 + 31146783*d**2 - 192 + 192 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-850)\/(-119) + 1\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n - 1. Let c be p(3). Suppose 3*m - 259 - 137 = -c*h, 254 = 2*m - 2*h. What is the highest common divisor of 20 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = d - 2*d + 9, 0 = 5*r + 2*d - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4142978449 + -26353485134230\/6361. Let b = t + -2\/31805. Let a = b + -120. Find the common denominator of a and -55\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*c**2 + 3 + 0)*(3 - 4 + 2)*(-16 + 14*c + 16).\nAnswer: -28*c**3 - 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -353018, -706018, -1058994, -1411934, -1764826, -2117658, -2470418, -2823094?\n\"Answer: 2*y**3 - 353014*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687*c**3*w + 16206*c**3 + 3*c**2*w - 2*c*w - 6301*c + 3*w + 47 wrt c.\nAnswer: -4122*c*w + 97236*c + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 19 + 63 + -39?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 93. Suppose -161 = -5*l - p. Suppose -4*x = -2*x - l. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + -347992 - ((3 - 2) + 3). What is f rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(432) - (sqrt(432) + -2)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710716 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: List the prime factors of 1255512.\nAnswer: 2, 3, 52313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -13089*s + 471208. Give r(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28.7, -4, 2, -2\/15, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.512300753 to 3 decimal places.\nAnswer: 2.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:45 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(12))\/sqrt(3))\/(sqrt(100)\/sqrt(2)) + 5*(sqrt(288) + sqrt(32)) + (sqrt(64)\/(-2*sqrt(2)))**2.\nAnswer: 8 + 401*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - -158. Is f not equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 18666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-612)\/308 + 2)\/(5\/35)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10*j - 5*j + 8569 = 0, -4*a - j = -34318. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-114)\/5)\/((-11)\/55) is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12510\/(-417))\/(3*(12\/(-10))\/(-6)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6440*c - 6447*c + 149191. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from {h: 2, r: 1, m: 1, k: 2, o: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 656385322 or 656385323?\nAnswer: 656385322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**4 - 1284*d**3 - 7252*d**2 - 8616*d - 2656 = 0. Calculate d.\nAnswer: -4, -1, -1\/2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = j - 5*g, -5*g + 27 = -j + 5*j. Suppose w - 17 + j = 0. Calculate the remainder when w\/(-7) - (-3050)\/70 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**2 - 19*x**2 + 79*x**3 - 71*x**3 + 7*x**2.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41670.\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 230*r**2 + 16560*r - 13. Calculate s(-72).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058853 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1577464339 and 1154.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2258 (base 10) to base 12.\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5626263 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/5 + 5947*b\/5 - 155298\/5 = 0. Calculate b.\nAnswer: -5973, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*w**4 - 84*w + 3?\nAnswer: -1380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3111 and 101086638?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r. Let l be i(8). Let q = 15 + -11. Suppose -q*n + 3*g = -2*n - 16, 0 = -2*g. Calculate the greatest common factor of l and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -376, -779, -1194, -1627, -2084, -2571, -3094, -3659?\n\"Answer: -f**3 - 396*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10 + (-7)\/70)*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 55. Suppose 3*z + 3*k = 5*k + 17, -g*k = z. Put 1, 4, z in decreasing order.\nAnswer: z, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 11 = 8*w + n, -n = -5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 5*p**2 - 2*p**3 + 2*p**4 - p**3 + 6*p**3 to z*p**3 + x*p**4 + q*p**2 + y*p + w and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14588721 to the nearest integer?\nAnswer: 3820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**(2\/7)\/(t**1)**(-2\/11)*(t**(2\/11)\/t**(2\/13))**(-3\/13) assuming t is positive.\nAnswer: t**(14282\/39039)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -0.13. Let n = -0.6 + 1.5. Let q = v - n. Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.4 and -1818.5.\nAnswer: 6182.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s - 54*s + 30*s - 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - l = l + 4, 2*u + l = 8. Suppose 0 = 4*z - 3*b - 2*b - 44, 2*z + 4*b + u = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-93)\/15)\/((-44)\/10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a - 1. Let p be 10\/2 + ((-2)\/(-3) - 360\/135). Let d(z) = -16*z + 1. Calculate p*d(x) + 5*f(x).\nAnswer: -8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 + 131.8. Let a = v + -127. Which is smaller: a or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2992534*x*z**3 + 2*z**3 - 2*z**2 - 3246*z - 30 with respect to x.\nAnswer: -2992534*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 152667 to the nearest one thousand.\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(15) - (-3*sqrt(105) - sqrt(105))\/sqrt(7))\/(sqrt(243)*2 - sqrt(243) - 3*sqrt(192)).\nAnswer: -2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21114 - -21872. What is the smallest common multiple of r and 1137?\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1188\/(-108))\/(((-100)\/(-5))\/(-4))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4634 - 1807 + 2695 = -92*y - 918 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6433*i + 8954736. What is z(1392)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31590741, 31590745, 31590749?\nAnswer: 31590753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 625*g + 94953. What is k(-152)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1204 divided by 9\nAnswer: 1204\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*q**2 - 7 - 3*q**3 + 6 + 2*q**2 as y*q**2 + j*q + o*q**3 + c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j. Let k = 1\/2 - j. Factor -1\/2 + k*l**2 - 1\/2*l + 1\/2*l**3.\nAnswer: (l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.03. Let k = 0.07 + l. Is k at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286649\/846486 + 250\/1517. Let q = l - 3\/62. Suppose -5*g = -0*o - o + 5, 0 = -5*g - 5*o + 25. What is the nearest to q in -0.4, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 738 and 2870.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 10394 (c) 0.144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2289 - 1512. What is the remainder when h is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0218245301 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -593 + 589 + -1 + (-25)\/(-7)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244267253089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5 = -5*x, -336*x - 24 = -332*x + 4*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 5. Let i be n(5). Suppose -c - 9 = -5*o + 5, -4*c + o = 18. Sort 1, c, i in descending order.\nAnswer: 1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**0)**40\/(m**2)**(-11\/7) assuming m is positive.\nAnswer: m**(302\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 219, 433, 637, 831, 1015?\n\"Answer: -5*j**2 + 229*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.017 + 0.457. Let v = o - 0.64. Suppose 0 = -11*z - 11*z - 110. Which is the second biggest value? (a) z (b) -3\/2 (c) v (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2819994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1345841 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*q + 5*z, -62*z + 65*z + 9 = -3*q. Suppose 2*b - 3*s - 76 = 0, s - 82 - 2 = -q*b. What is the remainder when 65 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/40 + 5*k**5\/2 - 97*k**4\/8 + 24*k**3 - 345*k**2. Factor j(l).\nAnswer: -3*(l - 48)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002346435 to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*u - 15*u**2 + 56*u)*(u - u - u).\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -11173248.\nAnswer: 10055923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.398 and 0.08.\nAnswer: 1.07184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2127798 - 1276221. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m = 34*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31044263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:50 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/24*((-1)\/2 - -3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - s + 199*s**2 - 203*s**2 - 2 + (-1 + 1 - s)*(s - 1 + 1))*(-3 - 5 + 2)*(-3 - 9 - 11).\nAnswer: -690*s**2 - 138*s + 276","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 754576611 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l - 37*l + 20*l - 5*l + 4 - 4 + (-3 + 2 + 2)*(5 - 5 + l) + (-119 + 250 + 12*l - 124)*(1 - 1 - 2).\nAnswer: -23*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9385821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 7*t + 2 = 5*o + 38, -5*t + 9*o - 133 = -0*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(18*j**3 - 43*j**3 + 23*j**3).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 + 16*o**3 + 0*o**3 + 5*o + 12*o**3 - 27*o**3 + 6 to c*o + q*o**2 + j*o**4 + l*o**3 + g and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 519 = 518 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063101 is divided by 281?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-15)*(10 + 1698\/(-170))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 4\/3*j**3 + 2*j**2 - 5*j + 1\/12*j**4 + 0. Calculate x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 + d**3 - 2*d - 6 to the form j*d**2 + x*d + m + f*d**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*70\/25*5\/3. Let t be 39\/(-3 + 0) - -2. Let g = o + t. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 75*z**2 + 82*z - 916. Give r(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*j**4 + 1056*j**3 + 340*j**2 + 28*j.\nAnswer: 4*j*(j + 7)*(6*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52695 is divided by 124?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 2, 16, 132 in descending order.\nAnswer: 132, 16, 2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1330\/(-31 + 101)*-3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -191. Suppose -5*g + 35 = -u. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 661, 668, 679, 694, 713, 736?\n\"Answer: 2*l**2 + l + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byby when four letters picked without replacement from yybyyybyyybyybyyyyyb?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 11*l + 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*p - 20 = 0, 4*a - 5*p - 10 = -35 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38287*m + 4 - 49421*m + 9.\nAnswer: -11134*m + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 41 + 24. Let x = t + 26. Calculate the remainder when 62 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -209498 (base 14) to base 8.\nAnswer: -4146716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -7 - -9) + -11 + 60 - -4\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 264044.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 816\/(-170)*(-28)\/1008.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f + 24. Let h be o(-9). Let b(j) = -10*j - 10. Let p be b(h). Suppose 17*d + 3 = p*d. Calculate the lowest common multiple of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002444 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 + 6) - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 1. Let v be k(-2). Solve 2*b = v*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/91 or 7541\/4?\nAnswer: 7541\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/10 + 4\/10. Suppose -3*p + 16 = 5*v, -2*v - 3 = -1. Let i = p - 10. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/14 - (-1)\/2. Let x = -50.7 - -51. What is the closest to b in -0.1, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -931 + 1163. Let s = -639962.9148 + 639731. Let l = s + r. Round l to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 51368824 - 102737803 + 51368979.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*b - 149. Let d be (0 - 3) + (0\/(-6) - b). Suppose 0 = u - 0*u - 3. Sort d, u, -3.\nAnswer: d, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211389 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8*w - 7. Let t(x) be the third derivative of -x**4\/24 - x**3\/6 + 5*x**2 + 127. Give i(n) - 5*t(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 23*z - 462 = 0. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -595*f**2 + 714*f - 714. Let i(c) = c**2 - c + 1. Determine 714*i(k) + m(k).\nAnswer: 119*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 8*a = 5*c - 49, -5*c - 5 = 0. Solve 5 = 23*q - a*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 22150303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 618\/9 + (-22)\/33. Let f = o + -29. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**2 - 3*o**3 - 6*o - 5*o**2 + 9*o**3 wrt o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.13\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 882 and 5615400.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 7*m - 5. Let g be b(7). Suppose f = 5*f - g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4 + 8. Let p(r) = r**2 - 3*r - 7. Let x be p(d). What is the first derivative of 2 - 5 + 0 - 5*z**2 + x wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -175*y**2. Let i(z) = 19*z + 1. Calculate g(i(k)).\nAnswer: -63175*k**2 - 6650*k - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -75 from 0.02163.\nAnswer: 75.02163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - 2) + -1 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddvwyutt. What is prob of sequence ty?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/1845)\/((-1298)\/11918) - 1\/11?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2114)\/(-1) + 0 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 465 - 276. Suppose 6*h = 93 + s. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23695\/6 + -3932. Find the common denominator of 15\/11 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 13. Let t = 38 - 37. Suppose -2*s + 6*d + 19 = 5*d, -3*d - t = 2*s. Let h(a) = 2*a - 6. Let j(l) = s*h(l) - 3*p(l). Give j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (819162\/(-85))\/6 + (-1)\/(-5). Are c and -1606 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -859*a**5\/30 - 191*a**4\/4 - 13*a**2 + 13*a. What is the second derivative of x(r) wrt r?\nAnswer: -3436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3\/5 - 128*b**2\/5 + 19048*b\/5 + 38592\/5 = 0.\nAnswer: -134, -2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/104 - -2)\/(4\/(-8))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.61 + -1.11. Let l be ((-2)\/(-138))\/(-3 - 51\/(-18)). Which is the second smallest value? (a) l (b) p (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 121. Factor 2*a - q - 1\/3*a**2.\nAnswer: -(a - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123 - 225 + 94*v**4 - 148 + 350*v**4 + 45 with respect to v.\nAnswer: 1776*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -0. Let -3 + 2 + i*d**2 + 0 - 2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 >= 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809682 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30330312 (base 4) in base 8?\nAnswer: 147466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1253379178 to the nearest integer?\nAnswer: 35403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -5*f - c, 0 = -7*c + 6*c - 1. What is the least common multiple of 8 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*m - 1 = 51, 5*m = 2*k - 40. What is the greatest common divisor of k and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - p + 2*w = -24, -23 + 107 = -986*p + 1001*p + 2*w for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1922.9443 times 2\nAnswer: 3845.8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 18414 - 2039. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 9*z**2 - 13*z - 42. Let w(f) = f**3 - 5*f**2 - 7*f - 20. Let m(l) = -2*n(l) + 5*w(l). Determine m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -127 - -129 - (-2 + 0 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1940351001 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 20*t**2 - 27*t + 77. Let j be q(11). Solve -10 + j = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -24. Let t(r) = 3 + 14 - 3618*r + 3619*r. Let l be t(k). Solve 7*h - l*h = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 5*d + 32. Let j = 67\/2 + d. Which is the second smallest value? (a) j (b) -2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1421 = -4*p + 959. Let j = p - 270. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**3 + 2*a**2 - 2*a + 1. Suppose -3*w + 5*m = -7*w + 9, -5*m = w - 21. Is y(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100111000001101 (base 2) to base 9\nAnswer: -80320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (56*q**2 - 56*q**2 - 27*q**3)*(4 - 4 - q) as z*q**4 + r*q**3 + o*q**2 + t*q + p and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2262 + 2280. Let y be -2 - 16*(4 - 0). Let p = -44 - y. Calculate the lowest common multiple of p and n.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*q + 4*d - 2, 2*q - 42 + 28 = -d for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 5*d + 204 = 0. Let z = 13 - d. Let l(t) = 18*t**2 + t. What is l(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e44 (base 16) to base 13.\nAnswer: 7342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -105*b - 519. Let m(k) = -2*k**2 + 0 + 3*k - 4 + 3*k**2. What is the lowest common multiple of m(-5) and t(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 5*a + 25, 28*a + 11 = 27*a - 4*x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**3 + 16*k**2 + 20*k - 28. Let j(o) = -3*o**3 + 5*o**2 + 7*o - 9. Let p(u) = -7*j(u) + 2*z(u). What is the tens digit of p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170349 = 534*n - 163*n + 211901 for n.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 2. Let x(o) = 3*o + 23. Let y be x(-8). What is the closest to y in 0.3, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355.9*6809\nAnswer: 2423323.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -528, -1040, -1530, -1986, -2396?\n\"Answer: 2*i**3 - i**2 - 523*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 2. Let y be f(7). Let s = -6 - y. Is s at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10248, -20438, -30494, -40350, -49940?\n\"Answer: 11*t**3 + t**2 - 10270*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8419\/4 + -2088. Let z = -10795\/6 + 1806. Find the common denominator of r and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -107\/2, 0.018, -4, 0.4?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2101?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 36*s + 128 = 0. Let h = s - -107. Suppose -4*n + n = 4*l - 64, 5*l + 5*n = h. Calculate the remainder when 111 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 5*u - 8*u. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 + 2447 = 88*x + 83 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 10:13 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -583.91 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iieie. Give prob of sequence eei.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-4)**2 + -2.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 40. Suppose 0 = -5*h + 236 + 529. Suppose 54 = -2*y + 3*y - 2*j, h = 3*y + 3*j. What is the remainder when y is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(10)\/sqrt(2)) - (sqrt(11) - (5 + sqrt(66)\/sqrt(6)))**2) + (-2 + sqrt(11) + 4 + sqrt(110)\/(-3*sqrt(10)))**2.\nAnswer: -145\/9 + 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let i be y + 0 + 1\/1. Suppose 4*j - 2*j - 10 = i. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7\/(21\/59736) - (-66)\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsfsgsggggggggssgfg. Give prob of sequence fsg.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 36*w**2 + w. Let s = -8 - -8. Suppose -1 = -u - s*u. Is 16 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8*f + 28 = 0. Let v = 156 - 157. Which is the closest to 1? (a) v (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (-275 + 286) - -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -5, -2\/5, -1113, 46?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 9*x - 8*x - 14, -5*x + 1 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 212.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1007 + 1006 - 280*x - 88*x as m*x + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4274*l - 8549*l + 14522 = -4412*l for l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -86, -162, -360, -740, -1362?\n\"Answer: -10*k**3 - k**2 - 3*k - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.282, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -15*d**7\/14 + 17*d**3\/2 - 3*d - 5. Find the second derivative of x(h) wrt h.\nAnswer: -900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89936 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6812, 6636, 6334, 5906?\n\"Answer: -63*d**2 + 13*d + 6862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 - -458. Let c be (-44)\/(-10) + (-14)\/35. Find the second derivative of -227 - 19*s - s**c + y wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 18*p**2 - 2*p - 3. Calculate the remainder when 67 is divided by z(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -58.5. Let p = 0.86 + -0.32. Let y = 0.24 - p. Which is the third biggest value? (a) y (b) r (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.99 - 27.11. Let y = -30 - k. Which is the nearest to 0? (a) y (b) 0.8 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5382 and 203481?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 90*t + 259. What is y(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) 5 (c) 0.04 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 35.042728 days?\nAnswer: 5.006104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3) + sqrt(432)*-1 + sqrt(432)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 39703*d + 298. Let b be o(38). Suppose 2*m + 503008 = 9*y - 8*y, -b = -3*y + 3*m. What is y rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -15667 > -1.1605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 r when three letters picked without replacement from rrurrubuguuyryuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3679761306.721 take away -0.052?\nAnswer: -3679761306.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 208541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = 3*r - r, -5*r = 0. Suppose 4*s = 0, 70 = 5*n - 2*s - 15. Suppose 0 = -x + f + n. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 3*y. Suppose -7*c + 110 = -y*c. What is the least common multiple of 2 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -13*f - 1\/20*f**5 + 19\/6*f**3 + 1\/2*f**4 - 19\/2*f**2 - 1. Let d be i(8). Solve 0 = d*k + 3*y - 25, -8 = -k - 3*y + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5247?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -26*w**2 + 2474*w - 320. Give u(95).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15140? (a) -0.4 (b) 1\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 13, 0.2, 32107, -0.4, -3 in increasing order.\nAnswer: -3, -0.4, 0.2, 0.31, 13, 32107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (431 - 217 - 225)*(4*y**3 - 2*y**3 - 5*y**2 + 3*y**2).\nAnswer: -22*y**3 + 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 45. Let z be (-1064)\/i - -4 - 2\/(-10). Suppose -221 = -2*r + z. What is the remainder when r is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 + 0 + 2. Let s(k) = 1 + 4*k**2 + 0 - 5*k**3 - p. Let v(y) = -4*y**3 + 3*y**2 - 1. Let f(r) = -4*r**3 + r. Let w be f(-1). Give w*s(z) - 4*v(z).\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 374654*s + 1498648.\nAnswer: -2*(s - 187331)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 83. What is the remainder when 6 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9721885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2450)*1)\/((sqrt(120) - (sqrt(120) - 1*sqrt(120))*2)\/sqrt(12)).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.08 (b) -3\/7 (c) 4.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(2299)*4) - (sqrt(95)\/(5*sqrt(5)) + 2 + sqrt(38)\/sqrt(2)))**2*5.\nAnswer: 1784*sqrt(19) + 3779504\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {j: 4, f: 5, m: 1, e: 1, t: 7, q: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313.939 + 315.939. Let b = -1.1 + 0.1. Let r = -1.7 + 0.7. What is the closest to b in -23, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 6*a - 4. Let r be o(-5). Suppose -i - 4*w - r = 0, 40 + 3 = 5*i - 4*w. Suppose i*t - 5*t = 36. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 28\/5 (c) 1 (d) 4 (e) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 428674 (c) 2\/45 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v - 3758 = -452*v + 14002 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - z + 503 = 0, -2*z = 2*r + 3*r - 838. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 36 (b) -0.4 (c) 5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 + 2 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 1 c when three letters picked without replacement from fckcckkcoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 4. Let k = -183 - -184. Let b(r) = r + 1. Give k*j(t) + 6*b(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b - 63. Let z(o) = o - 8. Let t(h) = 6*g(h) - 51*z(h). Let s be t(12). Let f = 66 - s. Solve 3*q - i + 11 = f, q - 5*i = -12 - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8 and -91\/222?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/30 + 1871*p**4\/12 - 4526*p**3\/3 + 31*p - 107. Find the second derivative of h(i) wrt i.\nAnswer: 12*i**2 + 3742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723657089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182100549 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -11 - (-32)\/(-4). Solve 20 = -p*l - 3*a, 3*l + 2*a + 3 = -9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1 + 7 - 4 - 5*b - 49. Give j(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 0. Let u = y + 3. Suppose -u*a = -5*a + 22. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 87, 95, 103?\n\"Answer: 8*o + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26734752, -26734759, -26734770, -26734785?\nAnswer: -26734804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(64\/60)*-2. Let h(a) be the third derivative of -a**5\/60 - 5*a**4\/8 + a**3\/3 - 16*a**2. Let x be h(o). Solve -3*r + 10 = x*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73417914 divided by 1359591?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7403, 30, 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 964.7668568?\nAnswer: 964.4668568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 42\/16 + -3 - -2. Let d = 0.52 - 0.22. Which is the nearest to 2\/3? (a) d (b) q (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -150, 1, -2, -20 in decreasing order.\nAnswer: 1, -2, -20, -37, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1022 and 10405871.\nAnswer: 1519257166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/338*(2\/(-7))\/(12\/84)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79253898 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -33659500 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**(-23\/4)\/(n**(1\/4)\/n*n)**(-3\/8))\/(((n*n**(-1\/2)*n)\/n)\/n**(-4))**(-46) assuming n is positive.\nAnswer: n**(46757\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 50 + 104. Let x(q) = -2*q**3 + 32*q**2 + 92*q - 1751. What is the remainder when h is divided by x(15)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10 + 10 + 98*j**2. Let k be c(-1). Let h be k\/(-4)*(1 - 3). Round h to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + t**2 + 50*t**3 + 2*t**2 - 49*t**3 + 2*t**4 to l*t**3 + o*t**2 + r*t + f + s*t**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 12 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1001110110110001001 (base 2) to base 14\nAnswer: -859a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/(-33))\/((-13)\/(-143)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 16*u + 19. Let q be o(17). Suppose 12 = q*d - 3*r, 2*d - 4*r - 16 = 3*d. Suppose -2*f = 2*s - d*f - 76, -4*s + 149 = f. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249505733.5 rounded to the nearest ten thousand?\nAnswer: -249510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 125729\/2 > 62864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/18 - 2*q**3\/9 + 4*q**2\/9 - 172. Factor j(n).\nAnswer: -2*n*(n - 1)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - 2*sqrt(190))*3)\/(sqrt(100)\/(sqrt(40)\/sqrt(4))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 58, 101, -1.29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19626029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1377) + 2 + -3) - (1*sqrt(1377) + 3 + sqrt(1377)*1 + 1))**2.\nAnswer: -486*sqrt(17) + 12474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 2:18 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2 + 6*v. Let d(u) = 2*u - 54. What is z(d(j))?\nAnswer: 24*j**2 - 1284*j + 17172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = 4. Let s be 4\/(-22) - 0\/1. Let o(i) = -i**2 + 7*i + 2. Let r be o(7). What is the third smallest value in s, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 937*q**3 + 2*q**2 + 25*q - 55. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -637, -832, -1023, -1222, -1441, -1692, -1987?\nAnswer: -2338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 8. Let a be b(-3). Suppose -a*i + 464 = -4950. Suppose -3*g - 580 = -i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268062*g**2 + 220771.\nAnswer: 536124*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5618757227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1666 divide 5780085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/((10\/3290*-7)\/3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-7)\/(-21)*(-3)\/(-2). Sort -2, c, -3.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - (-25 - -8)) + (-26 - 0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*h**3*m - 110*b**2*h**3 - b**2*h**2*m - 2*b**2*m + 2*b**2*s + 19*b**2 + 1719*h**3*s + 2*h**2*m*s wrt s?\nAnswer: 2*b**2 + 1719*h**3 + 2*h**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851897126.\nAnswer: 2, 3, 179, 1724299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-54) - (-316046)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68*-5\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*d = -3*s + 87, d = 2*s - 41. Let k be s\/12*12\/9. Suppose 4*c + k*c = 24. Solve -3*b + 3 = c*l, -4*l + 6 = -b + 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 178.026 (c) -4\/7 (d) 1\/2 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 e when four letters picked without replacement from {e: 6, m: 1, q: 3, z: 1, h: 3, k: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1355201953923818 + 1355201735089181.0000034. Let g = u - -218834665. Let v = g + -28. What is v rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 6*t + 2. Let z be k(6). Suppose -z*c + 191 - 9 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 26*y + 66. Let i(u) = -5*u - 13. Let r(p) = 16*i(p) + 3*o(p). Let m be r(-7). Solve 5*f = q - 4, -4*q = f - m*f - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/((-12)\/(-150)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2920*p**2*q*r - 4*p**2*r**3 + 6*p**2*r**2 + 8*p**2*r + 13*p*r + 14951*q*r**3 - 3*r**2 - 3*r with respect to q.\nAnswer: 2920*p**2*r + 14951*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3534033 - -442?\nAnswer: -3533151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464832?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**2 - 19*l - 283. What is the thousands digit of k(64)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*b**3 + 731*b**2 - 731*b**2)*(b + 0*b + b + 0*b + b - 2*b + (-3 - 2*b + 3)*(1 + 2 - 4) + 2 - b - 2 + 2*b - 2*b - 4*b).\nAnswer: -60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 4*s = 28*l + 241576, 1207796 = -5*l - s. What is l rounded to the nearest one thousand?\nAnswer: -242000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 18 = -3*k + 5*t, 3*k - 3*t = 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2\/7)*s*s)**(-27\/2)*s**6*s*s*s*s**(-5)*s*s)**6)**(-24) assuming s is positive.\nAnswer: s**(38664\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516878 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b + 0*b)*(8*b**3 - 4*b**2 + 4*b**2) - 5*b**4 + 31*b**2 - 31*b**2.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(320) + -2)**2 + (sqrt(180) + sqrt(180)*1 + sqrt(180))**2 + 0 + 4.\nAnswer: -32*sqrt(5) + 1947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = -6*u + 44270. List the prime factors of u.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(2\/7))\/l)**(7\/3)\/(l\/((((l*l**(-1\/3)\/l*l)\/l*l)\/l)\/l))**(-3\/8) assuming l is positive.\nAnswer: l**(61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -1186e58c?\nAnswer: 1186e58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**3 + 4*o**3 - 2*o**3 + (-2*o + 6*o - 2*o)*(2*o**2 - 3*o**2 + 0*o**2))*(-o + 2*o + 0*o) + 4*o**2 + 12*o**4 - 4*o**2.\nAnswer: 17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -14.5. Let a = 9 - d. Is 0 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, h: 3}. What is prob of sequence whww?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**4 + 33027*v**3 - 2359*v**2.\nAnswer: -v**2*(v - 2359)*(14*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 53*f**2 - f - 1. Give j(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1351 = r + 4*s, -4*r - 187*s = -190*s - 5499. What is the third smallest value in r, -0.2, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 12. Calculate a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18167421.\nAnswer: 3, 97, 149, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 343729\/(-504716) + 6\/(-87).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341 by 4.\nAnswer: 341\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1355*y**4 - 2031*y**2?\nAnswer: -32520*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a - 10. Let z(i) = -i**3 - i**2 - i + 5. Let s be z(0). Suppose p + s*o = -3*p + 5, 3*p = 4*o - 4. Calculate t(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4*u + 2*u - 3)*(293 + 277 - 358) in the form r + d*u and give d.\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l*l**(2\/7))\/((l**(-6)*l)\/((l**5\/l)\/l)) assuming l is positive.\nAnswer: l**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 210.03. Let g = h - 18. What is the second biggest value in g, 4, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2731 - 1238 = -21*a. Calculate the greatest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 3, q: 4, a: 1, y: 5}. What is prob of picking 1 t and 1 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 299*g**2 - g - 1. Let k be j(-1). Suppose 296 = 2*f + 2*r, 0*r + k = 2*f - r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 76 + 44 = 0. Solve -w = -4*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178 > -752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m. Let b(h) = 3*h + h - 7*h - 2*h. What is b(u(j))?\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.8193 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/21, -32.3, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 3*v**4 - 2*v**4 + ((0*v + v - 3*v)*(-2*v**2 - 2*v**2 + 2*v**2) + v**3 + 2*v**3 - v**3 + 13*v**2 + 7*v**3 - 13*v**2)*(-9 - 7*v - 15 + 5*v).\nAnswer: -27*v**4 - 312*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 - 5. Let q be l(0). Let y(z) = z**2 + z - 4. What is the tens digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97239678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 97*r - 127. Give c(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100878.\nAnswer: 2, 3, 17, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3756683346.\nAnswer: 2, 3, 13, 907, 53101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (110\/40 - (1 + 7)) + 5. Which is the nearest to v? (a) 0.4 (b) 3 (c) 0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 2. Let o = 11 - 7. What are the prime factors of c(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 13 - (-22 + 15). Solve 5*l - 6 = -4*r + h, 5*l = -2*r + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -180, -147, -112, -75?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*-565*58\/(-58)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10178203817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.17 + 0.23. Let b = -48.4 + s. Let g = 46.39 + b. Round g to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve p - 11 = -64*c + 66*c, 5*c + 3*p - 33 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -435*x - 680. What is the thousands digit of f(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) -2\/3 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let a(z) = 8*z - 1. Let o(y) = a(y) + 4*g(y). Calculate the remainder when o(5) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3, 1, 10 in descending order.\nAnswer: 10, 3, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 + 5 = 0. Let u = 0 - y. Suppose -u + 0 = -b. Solve -6*o + b*o = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 9*v**2 + 9*v + 10. Let j be d(-8). Let a = -5 + j. What is the tens digit of (a - -3) + -1 + 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-544)\/34 - -32\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5438374 micrometers in centimeters?\nAnswer: 0.00005438374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111021201112 (base 3) in base 9?\nAnswer: 11437645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*-1*sqrt(605) - sqrt(605) - 6*sqrt(605)*2)*3.\nAnswer: -627*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*36\/24\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 10. Let j(m) = -m - 4. Let v be j(8). Let h be y(v). Suppose h = -4*n + 14. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 220. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + 2.1. Put -4, -1\/3, b in descending order.\nAnswer: b, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.9 - 53. What is the biggest value in 3, -3, -2\/11, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*o, 5*b = 2*o + 39 + 61. Suppose k - 5*k = -2*t + b, 3*k = -9. Solve -7 = 2*v - t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 627.\nAnswer: -2\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6)*(-3)\/(-2). Suppose q*z = 10, 4*i + 4*z - 30 = -2. Factor 3\/2*d**i + 6*d + 6.\nAnswer: 3*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 72. Is 6 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24\/11, -5, 0.23, 4 in ascending order.\nAnswer: -5, -24\/11, 0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 9*c**2 - c - 7. Let m be b(-9). Let h be -30*225\/(-3)*m. What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - -5*-2*sqrt(192))**2 + -2 + (sqrt(18) - (sqrt(648) + sqrt(648)*2))\/(sqrt(6) - 6*sqrt(24)).\nAnswer: 17*sqrt(3)\/11 + 15550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y = 43 - 499 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1\/4, -0.356, 4 in descending order.\nAnswer: 4, 1\/4, -0.356, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 bigger than 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1100100111 (base 2) to base 3\nAnswer: 1002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 + 6. Let r be ((-1 - -1)\/(-2))\/(-2). Is f(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t + 5*t - 43 = -u - 6*t, 3*t - 57 + 70 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 221\/242550 and -116\/218295.\nAnswer: 2182950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*b - 3*b - 1, 5*j + 5*b = 5. Suppose j = 2*i + 3*i - 5, 4*i + 22 = 2*o. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - 114*x + 29 + 4*x**2 - 29 to d*x**2 + z*x + n and give z.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 9. Let p be g(-10). Let x be 15\/(-10)*p*26\/(-3). Find the first derivative of -30 + x*t**2 - 6*t**2 + 12 + 13*t**2 wrt t.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 5.\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 24. Let v be (f\/(-3))\/(2\/(-9)). Is 24 a factor of 24 + (-3)\/v*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*h**4 + 97*h**4 - 39*h**4)*(3 + 0 - 5) + (-5*h + 4*h + 2*h)*(0*h + 0*h - 2*h**3).\nAnswer: -66*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2\/7 + 225545844*z\/7 + 2119621989403014\/7.\nAnswer: 6*(z + 18795487)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*f - 2*r + 3, -5*r + 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - h**2 + h + 7. Calculate z(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121025409 - 56554591. Round z to the nearest one million.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 18.6. Sort -0.1, -1, i in increasing order.\nAnswer: -1, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 19*k = -k - 60 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1876.\nAnswer: -5\/1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - ((16 - 18) + -16)) + -21?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = 0, -6*m + 2*m - 3*v = -12. Suppose m = 2*q - 4*q + 28. Suppose 148*r = 152*r - 16. Solve -12 = -j + r*h + 2, 5*h = 3*j - q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-42))\/(4\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 5049715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose 5*i = p + 8. Factor 0*l**i - 1\/2*l**4 - l**3 + 1\/2 + l.\nAnswer: -(l - 1)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -54*z**2 + 19*z**2 + 14*z**2 + 19*z**2. Let k(r) = 33*r - 11 - 31 + 9*r - 14*r**2. Let a(j) = j**2 - j + 1. Let g(q) = 42*a(q) + k(q). Give x(g(d)).\nAnswer: -1568*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l**3 - 3*l**2 - 1231*l - 13. Let h(a) = 18*a**3 + 4*a**2 + 1232*a + 15. Let w(j) = -6*h(j) - 7*q(j). What is the second derivative of w(v) wrt v?\nAnswer: 234*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193025.7t in milligrams?\nAnswer: 193025700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 10*a - 10. Let u be t(4). Sort 1, u, 5, -33.\nAnswer: -33, u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 571, 566, 559, 550, 539?\n\"Answer: -l**2 - 2*l + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -230324221 (base 5) to base 9\nAnswer: -1834461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23251 - 23254. Sort 558, c, 5 in decreasing order.\nAnswer: 558, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(5)) + 3 + sqrt(80).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -76*i + 1. Let p be 0\/(-2)*(-5)\/10. Let u be (-1 - -3)\/(-2 + p). Is 25 a factor of t(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 463416492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 383 + 311. Which is the second smallest value? (a) g (b) -3 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1885.\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25422062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/4))**(6\/7)*y**(-1\/2)\/y**6)**(-2\/49))**36 assuming y is positive.\nAnswer: y**(3168\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2 - 2710*m - 136922?\nAnswer: 4*m - 2710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 4. Let l be u(12). Suppose -4*s + 12 = -s + y, 2*s - l = 3*y. Suppose 0 = -0*v - s*v. Solve v = -3*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by -2?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1\/(-4))\/((-3)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8579 + -154499\/18. What is the common denominator of (5\/(-60))\/((-2)\/(-74)) and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/2 (c) -0.0377 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 4074 in increasing order.\nAnswer: -2, 2, 4074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00201 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-9)\/(171\/247).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Suppose -3*g = -2*s - 8, 0 = v*s + g - 1 + 3. Which is the closest to -2\/3? (a) -0.1 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 344 - 346. What is the fourth biggest value in d, 0, 0.1, 29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18203470 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1886 + 1805 - 1539)*(2*h - 2*h - h) - 2*h - 3*h + 3*h to l + w*h and give w.\nAnswer: 1618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(-5 - 1 + 5)*(5*b + b - 4*b + (0 - 3 + 1)*(-b + 4 - 4) + 2*b + 4 - 4 + 20*b - 12*b + 9*b) as j + r*b and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n + 151. Let r be a(-12). Sort 4, 2, r, 16 in ascending order.\nAnswer: r, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251220671?\nAnswer: 13, 19324667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, 4, -1 in increasing order.\nAnswer: -16, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1978 and 96?\nAnswer: 94944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -3.29?\nAnswer: -3.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 12*t**2 - 3*t + 15. Suppose 12*x = -7*x + 228. Give v(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-28)\/16)*(-1)\/(-5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 0*w**3 - 48*w**2 + 261*w**2.\nAnswer: 2*w**3 + 213*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3 - 20 - 3*m - 34*m**2 + 39*m**2 - m**4 + 20 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.412 greater than or equal to -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1008*d + 5945. What is r(6)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 37*r - 126. Determine u(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 4 + 0*z - 2*z**3 + 1\/4*z**4 + 2*z**2. Determine x(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -4*j. Suppose -j*r + 4 = -0. What is the second derivative of 17*h**2 - 18*h - 18*h**2 + 8*h**r wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, 2274 in increasing order.\nAnswer: -20, -4, 2274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 - 90. Solve -5*f + a = 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/4 + r**3\/3 + r**2 + 4*r. Let o(w) = 6*w**2 + 5*w + 5. Give -5*j(u) + 2*o(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 0 + 1 - 1. Let l(x) = -10*x - 4. Let d(b) = -11*b - 5. Let a(y) = 4*d(y) - 5*l(y). Give i(a(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjujjuujjjjjjjjju. Give prob of picking 3 j and 1 u.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f\/(f*f*f**(-7)*f))\/f)))**(-41))**(2\/35) assuming f is positive.\nAnswer: f**(-328\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 + 2*s**3)*(-124*s - 197 + 122*s + 235 + 647).\nAnswer: -4*s**4 + 1370*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22114.00037838 + -22114. Round j to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, q: 1, p: 4}. Give prob of picking 3 y and 1 q.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.23 - 0.42. Let k = 0.1361 + 0.0539. Let n = k + f. Which is the biggest value? (a) n (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 16 + 8 - 23 - 2*h + 5*h. Let x be u(2). Solve 0 = -r + 4*d + 17, x*r - 10 = 2*r - 5*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5312420 to the nearest integer?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7 = 5, -3*n + 5*f = -20. Suppose n = 12*c - c - 66. Let t be c\/18 - 321\/(-9). What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/7 and -70\/1425957?\nAnswer: 9981699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*x = -28, -4*x - x = 4*z - 12. Let h be 1*z\/(-28) + 664\/(-28). Is -2 + h\/(-10) + 8415\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - v + 1. Let x(i) = -5*i**3 - 33*i**2 + 11*i - 626. Determine 11*g(a) + x(a).\nAnswer: -5*a**3 - 615","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.64 + -48.594.\nAnswer: -46.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 1109.\nAnswer: 29\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/13838 and -31\/2220.\nAnswer: 415140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1521657 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0866 - -1050.9134. Let c = 1051.000002914 - o. What is c rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 1, y: 1}. Give prob of sequence yxy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 2, v: 7, i: 5, s: 3}. What is prob of sequence nssn?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/12 - s**3\/3 - 8*s**2 - 898*s + 1. Give b(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**3*s - 99*r**3 - 3*r**2 + 217*s wrt s?\nAnswer: -r**3 + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -2\/7 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*n + 28, -4*n - 15 = m + 2. Let f be n - (-5 + 1 + 4). Which is the nearest to -1? (a) 0 (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-71231.\nAnswer: 49861.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 - 24*j**3 + 40*j**3 + 28*j**3.\nAnswer: 66*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c - 2. Let w be q(-2). Let o(a) be the first derivative of 0 + 3*a - a + 3*a + 2 + 2*a**2. Give o(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:57 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -443.\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -49, -62, -91, -142, -221?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -436*c*s**4 - 6*c*s**2 - 12*c*s - 378*c wrt s?\nAnswer: -5232*c*s**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:30 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/12 - 4*v**3\/3 + 201*v**2\/2 + 2590*v. What is h(-19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 35132.97ml?\nAnswer: 35.13297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - (-40)\/7. Let n(i) = -7*i**2 - 2*i - 7. Let b(j) = 2*j**2 + 4*j + j**2 + 7*j**2 + 3*j**2 + 13. Let q(u) = m*b(u) + 11*n(u). Calculate q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - y + 7, 4 = q - 0*q + y. Find z, given that -65*z - 2*z**2 - z**4 + 4*z**q + 53*z + 2*z**4 + 9 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -780 - -408. Let g = w - 120. What is the tens digit of g\/(-2)*3\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113 = 136*j - 2151. What is the greatest common factor of j and 44028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*j + 56, 52 = -3*g + j + 152. Let x = 41 - g. Calculate the least common multiple of 6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 411895 = -66030. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (3*(sqrt(550) - sqrt(550)*-1))\/(sqrt(891) - sqrt(891)*-2).\nAnswer: 10*sqrt(2)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, f: 6, r: 7}. What is prob of sequence rsss?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*p + 546*p + 4*a + 86 = 0, 0 = -22*a - 88 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.586118 take away 0.9?\nAnswer: -1.486118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -1612, -3970, -8108, -14620, -24100, -37142, -54340?\nAnswer: -76288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 923*n - 140. Calculate m(-154).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*h**2 - 92*h**2 + h + 219*h**2 + 37 as c + a*h + x*h**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 852 and 558?\nAnswer: 79236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45947\/17 + 2705. Find the common denominator of c and 55\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -50*v + 5. Let m = -34 + 29. Let q be y(m). Determine k, given that -4*k + q - 255 + 4*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 224 = -5*a, -4*a - 4*y + 77 + 103 = 0. Suppose 17 = -3*q + 32. What is the remainder when a is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 5, -443\/4, -2\/9, 0.5, -2\/5, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 less than or equal to 335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2)\/l*l)\/l)\/l)\/l**(4\/9)*(l**(-1))**(-1\/28) assuming l is positive.\nAnswer: l**(-1111\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.397533 centuries in millennia?\nAnswer: 0.0397533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -15*w**2 + 629*w + 99. Determine o(40).\nAnswer: 1259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = 7*w. Let x be w\/(-1) + 4*9\/12. Suppose -x*v**2 - 3 - v**2 + 75 + 5*v**2 - 24*v = 0. What is v?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -13 + 343 + -366 + 56\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 - (-1)\/(-5). Suppose c - 5*v = 3*c - 18, 4*c + 3*v - 22 = w. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*t - 85, 2*t - 2*i = -3*i + 45. Solve t = -4*o + 37, -4*r - 18 = -2*o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13102276 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -968 + 1505. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11036 + -12117)*(-4)\/(-46).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455301.\nAnswer: 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2\/2 + y + 6. Let f(d) = -d + 2. Let n be 4\/(1*-1) + 9\/3. Let q(g) = n*f(g) + 3*h(g). Calculate q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477192607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 664753?\nAnswer: -664755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -26 + 64 + u**2 + 7*u - 28. What is g(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4372\/19 - -230. What is the smallest value in -0.1, 6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 12*s - 19. Let x be b(-10). Let i = -456 + x. Let l(w) = 4*w - 2. Let f(u) = -u - u + u + 0. Calculate i*f(c) + l(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 34*d**2 + d**3 + 16*d**2 + 2*d**4 + 16*d**2 in the form i*d**2 + u*d + z*d**3 + p + l*d**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769*o - 375 - 379 - 189*o + 754.\nAnswer: -958*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 354515479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*q = -202 - 177 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1008) + (-1 + sqrt(1008))**2.\nAnswer: -12*sqrt(7) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*h**2*k**3 - 2*h**2*k**2*p - h**2*k - 10*h + 16*k**3 - k*p wrt h.\nAnswer: -58*k**3 - 4*k**2*p - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18144 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: In base 5, what is 1221 - -11221?\nAnswer: 12442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 + 14269796*p\/15 - 1902640.\nAnswer: 2*(p - 2)*(p + 7134900)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfu when three letters picked without replacement from {u: 1, v: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u\/u**(-6)))\/u)*u*u\/(u*(u*u**(-11))\/u*u*u)*u*u**(-10)\/(u\/(u*(u**(-4\/11)*u)\/u*u)) assuming u is positive.\nAnswer: u**(106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 248 - 1\/5*x**2 + 243\/5*x.\nAnswer: -(x - 248)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 - -0.2. Let o = -0.23 + x. What is the biggest value in 4\/5, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15896881 rounded to four decimal places?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11876140 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189.91 + 0.09. Let s = 223.2 - r. Let n = 33 - s. Which is the closest to 0? (a) -0.1 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*m = 90 - 82, 0 = -12*r + 4*m - 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 154038348.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)*p*p*p\/((p*p**(2\/9)\/p)\/p) assuming p is positive.\nAnswer: p**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 - 1.4. Let o = d + -2.1. Let v = -0.4 + o. Which is the closest to 0? (a) 0 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 5418?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20394 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 - 4*u - 7. Let c be m(6). Suppose 45 = 7*j - 2*j - 4*i, -c = j + 2*i. Calculate the remainder when 14 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**5 + 515*s**4 - 13515*s**3 + 13005*s**2.\nAnswer: -5*s**2*(s - 51)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(243))\/(sqrt(8) + (sqrt(224)\/sqrt(4))\/sqrt(7) - sqrt(8))*-2.\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 1 - (35 - 35) - (25 + -11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 5, w: 5}. What is prob of sequence ktww?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -341, 4, -4, 194, 344 in ascending order.\nAnswer: -341, -4, 4, 194, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420)*-1)\/(-2*sqrt(242)))\/((sqrt(180)\/(sqrt(3) + sqrt(27)) - sqrt(60))\/(4*sqrt(192))).\nAnswer: -32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/70 - i**6\/5 - 43*i**5\/20 - 29*i**4\/4 - 12*i**3 + 928*i**2. Let o(m) = 0. What is m?\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.3 (b) 4\/5 (c) -0.2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:41 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djeeululleljjdljjj. What is prob of picking 2 j?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107015 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 1 + 2 + (1 + sqrt(288))**2 + 2)*-6.\nAnswer: -1764 - 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 13*z**2 + 12*z - 5. Let h be x(14). What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2, -3*n - 4*t = 8 - 27. Let z = 46 + -42. Solve -6 = -5*w + z*k + 4, -n*w + k - 5 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:49 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2134, 8558, 19280, 34300, 53618, 77234?\nAnswer: 105148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36029, 36135, 36241, 36347?\n\"Answer: 106*r + 35923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096402631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1961710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2621988*h**5 + 124*h - 971 wrt h.\nAnswer: -52439760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) + sqrt(45)\/sqrt(5)*-3 + sqrt(9)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186564 by -12.\nAnswer: -15547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -312*i - 13395. What is the remainder when o(-52) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29770368682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 753.9027 nanoseconds?\nAnswer: 0.000000012565045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 7*u - 29, -25 = 237*l - 242*l - 5*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 255*q - 2 + 119*q in the form u + z*q and give z.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*h + h - 19*h to u*h + s and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 10 = 0. Let w(u) = -u**3 + 4*u**2 + 7*u - 6. Let o be w(k). Solve -t = 1 + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1228695 + 1228697.263093. Let b = j + -2.262. Round b to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/23723 and 59\/350.\nAnswer: 1186150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 477540905 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 0)*(3*o**2 - 3*o**2 - 2*o**4)*(3 - o - 3) + 0 + 0 + 2*o**5 + 2*o - 5*o**5 - 2*o.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -48?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.899694 weeks in minutes?\nAnswer: 9068.91552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -422, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8463.9 + -8464. Let t be (24\/45)\/(4\/6). What is the closest to d in 1\/2, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - 3*g + 6. Let n(r) = 17*r**2 - 8*r + 16. Let s(x) = -3*n(x) + 8*t(x). Let k(p) = -24*p**2. Calculate k(s(y)).\nAnswer: -216*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2833 + 3*r + 2833. Let y be 15\/20*24\/9. What is t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4040256 hours?\nAnswer: 1454492160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 408 = -13*s. What is the third derivative of 6*d**2 + 2*d**2 + s*d**2 + 15*d**4 - 124*d**4 - 1 wrt d?\nAnswer: -2616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000431827974 rounded to six dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.298 and 0.029.\nAnswer: 0.008642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109610 is divided by 243.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/((-308)\/(-66))*-21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123, -204, -285?\n\"Answer: -81*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 48*c - 383. What is the remainder when t(13) is divided by 134?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-9)\/(-4). Let l(g) = g - u*g + 4 - 3. What are the prime factors of l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t. Let m(g) = 11*g**2 - 24*g**2 + 12*g**2. Determine m(o(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1632 and -378 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 4814?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104751*h - 104703*h + 3456 = 0 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000004981 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:08 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 99 + 163 - 2*v + 5*v)*(-19*v**3 + 9*v**3 - 37*v**3).\nAnswer: -94*v**4 - 12314*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000719 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 336942012 < 336942013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by -21660.\nAnswer: -29\/5415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27713, 27690, 27679, 27686, 27717, 27778?\n\"Answer: h**3 - 30*h + 27742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131430 divided by 78.\nAnswer: -1685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = d. Let i be 2 - 9\/(d - 0). Suppose 0 = i*f - 152 + 37. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660953.21 hours in weeks?\nAnswer: 9886.62625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from dtdttddddddd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656 and 25232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 2. Let k(q) = 2*q**2 + 3*q + 2. Let i be k(u). Let z = 32 + 0. What is the highest common divisor of i and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-42)*-41 - 1*-3. Does 1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55198*v = 58506*v + 72776 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 24, -4 in increasing order.\nAnswer: -4, 22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 2. Let b be o(8). List the prime factors of 0 - 0 - (-13 - b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a + 114*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from hhhhhhhhhmhhhhmhmhhh?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((-4*sqrt(48))\/sqrt(6)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/7, 0.3, -5 in descending order.\nAnswer: 3, 4\/7, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 46*o + 67*o - 41*o + 25*o + 189.\nAnswer: 5*o + 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262072, 524145, 786218, 1048291, 1310364?\nAnswer: 1572437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 - 0.02. Let r(x) = x + 2. Let t be r(3). Suppose 0 = -4*p + t*u - 40, u + 10 = -4*p - 6. Which is the nearest to -1? (a) p (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(325))**2 + -5.\nAnswer: 10*sqrt(13) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15459058 less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 16, 3*q + a = -3*a + 716. What are the prime factors of q?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*k + 124573 = -2157. What is the highest common divisor of 817 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-3150))\/(2\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*g = -0*d + 48, -4*d - 48 = -g. Let z = d - -18. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.0218 rounded to 1 dp?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 14 - 26 = 0. Let m(q) be the first derivative of -5*q**4 - 39*q + 8 + 4*q**4 + 21*q - 6*q**o. Find the first derivative of m(h) wrt h.\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dd03 (base 16) to base 4\nAnswer: 131310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187953467*h**2 + 17265717*h.\nAnswer: 375906934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 + 3.1. Which is the second smallest value? (a) -3 (b) -0.3 (c) 1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 times -1051532?\nAnswer: -396427564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + -3 + sqrt(3)*-1 - sqrt(21)\/(sqrt(84)\/sqrt(3))).\nAnswer: 15*sqrt(3)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + 209.86. Let x = -81 + y. Let g = x + -129.326. Round g to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342920367.\nAnswer: 3, 139, 274117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 + 10*d**2 - 22*d**2 + 7*d**2. Let y(q) = 5*q**2 + 11*q. Determine p(y(v)).\nAnswer: 50*v**4 + 220*v**3 + 242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 872522.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 11:05 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -80. Let o(c) be the third derivative of c**4\/4 - 2*c**3 - 2*c**2. Calculate the remainder when 107 is divided by o(q).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 84347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2. Let x(f) = -f - 2 - f + 4*f - 10. Let h be x(7). Let r(z) = 22*z + 7. Let j(t) = 7*t + 2. Let g(d) = h*r(d) - 7*j(d). Give m(g(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 173*l - 4658. Determine r(26).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*h**2*k - 49922*h**2*y**2 + h*k*y**2 - 2*h*y**3 - 111*h*y - 12 wrt y.\nAnswer: -99844*h**2 + 2*h*k - 12*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-70)*-4)\/(2148\/5370).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 (base 13) in base 8?\nAnswer: 5407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -27*r**3 - 69*r**2 + 1555*r - 46. Let l(h) = -7*h**3 - 18*h**2 + 388*h - 12. What is 6*b(d) - 23*l(d)?\nAnswer: -d**3 + 406*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977 = -147*c - 199 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10011)\/142)\/(-141)*116\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 34*x**2 + 6*x + 114. What is v(-34)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 199, 198, 197, 196, 195, 194?\n\"Answer: -k + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 + v**2 - 6*v - 8. Let a(y) = -3*y**3 - y**2 + 5*y + 7. Let o(r) = 7*a(r) + 6*g(r). Let f be o(1). Put 0.1, -5, f in ascending order.\nAnswer: -5, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 840\/(-14)*3\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r + 252. Let g = -566\/9 - r. Which is the second biggest value? (a) g (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z**(-2\/7)*z)*z*z*z)*z*z\/(z*z**(-2\/7)\/z*z*z)*z**(-6)*z**(-2\/5)*z*(z*z**0*z*z*z**(-3\/4)*z*z)\/(z**3\/z*z**(-3\/5)) assuming z is positive.\nAnswer: z**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1145 and (1573\/(-484))\/((-458)\/(-6)).\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2949)\/9*-1 + (-102)\/18 + 6. Solve 31*s + h = -10*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 10*z - 22. Let l be r(-6). Which is the closest to l? (a) 4 (b) -1\/21 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 26. Let h be r(-6). Let k be ((-8)\/(-10))\/(1\/(-10)). Let w = k - h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 114\/22 - 6\/33. Let m = x - 5. Suppose 7*u - 2*u = m. Solve -3*s - s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124 divided by -119.\nAnswer: -1124\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248*z**6 + 83*z**2 - 2.\nAnswer: 29760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:12 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 264.82918055?\nAnswer: -264.92918055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4274341962 to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m**2 + 12*m**3 - 25*m**2 - 2*m**2 wrt m.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3978)\/297)\/17*(171\/(-114) + 38\/(-4))\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6159, -146, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j + 96*j**2 + 104*j - 74*j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404223645 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78817102141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9026, -18415, -28166, -38279, -48754, -59591?\nAnswer: -70790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-344)\/14)\/(24\/(-504)) is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x + 18. Let t be u(-12). Let z be 2\/12 - 69\/t. What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/66 and -95\/79386.\nAnswer: 873246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 671*c**2 - 8 - 671*c**2 + 6 - 30*c**3 as f + q*c**3 + p*c + w*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.97 + 0.03. Let p = -255 - -251. What is the smallest value in -3, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggppphgsphppapgpppp. Give prob of picking 1 s and 1 p.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4464*l**4*q - 677*l*q**2 + 1583*q**2 + 43 wrt l.\nAnswer: -17856*l**3*q - 677*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366801.\nAnswer: 1366801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = o - 38, -4*d = -3*o - 32. What is the greatest common factor of 14333 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3092 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3486, -6972, -10458, -13944, -17430?\n\"Answer: -3486*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 14?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/78)\/((-2)\/(-1257)). Let g = -161 + r. What is the closest to 6 in -1, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 55223?\nAnswer: -55232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(h**2 - h**2 - h**2) - 4*h**2 + 5*h**2 - 4*h**2 + 5*h**2 - 4*h**2 - 3*h**2)*(-2 - h + 2).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/390900 and -65\/379173.\nAnswer: 37917300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 - p**2)*(-139*p + 9157*p**2 + 9155*p**2 - 18314*p**2).\nAnswer: -4*p**4 - 278*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-65) + (123\/(-39) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-17 + 0 - (5 + 3 + -13))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -487.932 - -545\nAnswer: 57.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, 130, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 20 - 16*y + 22 + 7 + 15 - 72.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -3, -28, -5, -10, 5 in increasing order.\nAnswer: -28, -10, -5, -3, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 - -0.4. Let j = d + -0.23. Sort -0.1, j, -1 in ascending order.\nAnswer: -1, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44096 by -741.\nAnswer: -3392\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.6367 hours in microseconds?\nAnswer: 2421492120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 7, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f - 47. Determine o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1843db1 + 26?\nAnswer: -1843d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1186361*l - 5931815. Give f(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -0. Suppose 32 + 99 = -4*j - y*f, -3*j - 2*f = 97. Let h = 51 + j. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 + 11*o**2 - 14*o**2 - 4*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) 7\/4 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/y*y\/(((y**(-3)\/y*y)\/y)\/y)*y*y)\/(y**(-4\/11)\/((y**8\/y)\/y)) assuming y is positive.\nAnswer: y**(202\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 462, -0.5, 1 in decreasing order.\nAnswer: 462, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/17832 + -597383\/196152. Suppose 5*n = k + 315, 5*k - 3*n + 1491 = n. Let f = -629\/2 - k. Calculate the common denominator of f and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 2*a + 31. Let j be a\/(-21) - 0 - 4. What is the biggest value in j, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 + (12\/246 - 3597\/615)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5448 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001432 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -3. Let s(y) = y + 5. Let v be s(h). What are the prime factors of 37\/3 - v\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73282, -73593, -73902, -74209, -74514, -74817?\nAnswer: -75118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.830693 litres?\nAnswer: 5830.693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/((d\/(d*d\/d**2*d))\/d*d)*d*d))**(-3\/32)*(d*d**0)**48)**(-5\/4) assuming d is positive.\nAnswer: d**(-7725\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1367439346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/15*(-20)\/(-8). Suppose d*x + 3 = 5*z + 5*x, 0 = 4*z + 3*x + 9. Let h be (2 - 882)*(z + -1250). Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**4*q*q**(-17) assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*z + 7870 + 2986 = -7321 for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/2)\/(6 - (-262)\/(-44))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -30*u. Let y be c(1). Let r = 2 + y. Is (-8)\/r + 243\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96186 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (14 - -9)) + 3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11919 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, w: 3}. Give prob of picking 2 k and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10176 is divided by 1265?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 4*w**2 - 2*w - 5. Let z be s(-4). Let v be -32 - (z - (4 - 2)). Calculate the common denominator of -85\/6 and 2\/(-4) - v\/(-42).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202002000001212 + 2?\nAnswer: 1202002000001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-4)*4\/(-20)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103733 divided by 7.\nAnswer: 14819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 - 28219*f**2 + 28218*f**2 - 32*f**3.\nAnswer: -21*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - z - 4*z + 11324 = 0, w + 3*z = 11316. Let i be w\/360 - 2\/5. Solve -8*m + 1 = -i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let p = -18 - -18. Let b = p + -0.2. Sort i, -2\/15, b in increasing order.\nAnswer: i, b, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.0064.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*p - 2 = -1, 2*p = 4*n - 14. Let s be 12\/3 - 4\/2. Let m(a) = -a + a**s + a - n*a. Let z(t) = t**2 - 6*t. Give 7*m(u) - 5*z(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 + -2.6. Let f = z - 4.1. Suppose -o = -2 + 8. Sort -4, o, f in decreasing order.\nAnswer: -4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*84\/(-4). Let o = k + 16. What is the second derivative of -o*y + 18*y**2 - 18*y**2 - 8*y**4 - y wrt y?\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/60 + j**4\/12 - j**3\/6 - 14*j**2 - 24*j. Let q(s) be the first derivative of d(s). Calculate q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.88 rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57, 55, 53, 51?\n\"Answer: -2*v + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2 + 6*q - 4. What is the units digit of x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -42, -0.1, 1, -2.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -822?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -23*f**7\/210 + f**4\/12 - 43*f**3\/3 - 167*f**2. Find the second derivative of p(c) wrt c.\nAnswer: -276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2259\/20 - -113. Let m(f) be the third derivative of 1\/120*f**6 + 1\/6*f**3 + 0*f + f**2 - h*f**5 + 0*f**4 + 0. What is m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 + 115. What is the lowest common multiple of 18 and ((-203)\/(-7) - 4)*4\/b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(6 - 168\/32). Suppose 3*t - 39 = -2*f, -3*t + 42 = 4*f - 3*f. Find the second derivative of -6*r**2 + t*r + 4*r**s + 5*r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.201742 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/4 - h**3\/3 - 23*h**2\/2 + 61*h. Find the first derivative of v(w) wrt w.\nAnswer: 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*r - 5, -24*r - 4 = -2*k - 28*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 39*z**2 + 2*z - 20. Let w(o) = -196*o**2 - 11*o + 99. Let q(k) = -22*s(k) - 4*w(k). Differentiate q(i) with respect to i.\nAnswer: -148*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 18144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111601 is divided by 35645.\nAnswer: 4666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 - 9*k + 9. Let u(q) be the second derivative of -q**3\/6 - q**2 + 6*q. Let n be u(-3). Let v(w) = 6*w. Let z be v(n). Give l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 5. Let t be m(7). Let d be 0*1\/(-2)*t. Let k be 2 - (d\/(-3) - -2). Let g(z) = -z - 5. Determine g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 599\/8354?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*x = -32, -d + 5*d = -5*x + 52. Let w be (-1 + 4)*22\/(-6). Calculate the lowest common multiple of 4\/8 + w\/(-2) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b76b (base 16) to base 5.\nAnswer: -3000310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 459 + -154. Let x = v - 305. Solve -2*u - 2 - 6 = x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65708 + 20292. Round s to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (24 - -72)) + 171?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/(-159)*(-261)\/(-15)*-5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:44 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31719 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c = -22*c - 9. What is the second smallest value in 6, -1\/9, -5\/2, c?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:09 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.2162, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 + 158 = 4*p - 2*i, 5*i = 5*p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Suppose j = -s - 3, -j + 14 = -3*s - 3. Let z(b) = -9*b**2 - 4*b**2 + 2*b**2 + 4*b**j. Give z(t(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-6\/7)*p*p*p\/p**(2\/13)*p*p**8*p*p*(p*p**(1\/3)*p*p)\/p assuming p is positive.\nAnswer: p**(4729\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - f - 3*f)*(-72 + 67*f + 72) + 0*f**2 - 2*f**2 + 5*f**2 to the form n*f + i + s*f**2 and give s.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -883, -3546, -7997, -14236?\nAnswer: -22263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 7*m**2 - 12*m - 28. Let l be i(-8). Solve -2*r + 19 = -4*r + 5*a, 0 = l*r + 5*a - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 28248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -856 and -1219.7848.\nAnswer: -2075.7848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, a: 5, h: 1}. What is prob of sequence eah?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -34*h**2 + 11*h + 20. Let c(k) = 170*k**2 - 56*k - 100. Let l(y) = -2*c(y) - 11*f(y). Is l(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90.98 + 91.18. What is the third biggest value in j, 4\/21, 8\/9?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*b + 3*b = -2, 4*c = 3*b + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*a**4*c - 18663*a**3*c**3 + 10*a**2*c**3 - 12731*a*c**3 - 2*a*c + 2*c wrt a?\nAnswer: 552*a*c - 111978*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 254 and 2?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, 4, -125 in increasing order.\nAnswer: -125, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 6. Suppose 207 = 4*p + 3*h, 2*p = m*h - 3*h + 71. Suppose 0 = 3*s + 6 - 24. What is the greatest common factor of p and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311298 times 3\nAnswer: -933894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 183800 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4130 + 3*r**3 - 2*r**3 - 4092 + r**3 as m*r + n + c*r**3 + z*r**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2275, -1\/37, 0.1 in descending order.\nAnswer: 2275, 0.1, -1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706923 + 353448 + 353475 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 16. Let g = 53 + q. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(100)*-1 + sqrt(100))\/sqrt(10) + (sqrt(10) + -2*sqrt(10))*1)\/(4*(sqrt(72) - ((4*sqrt(72) - sqrt(72)) + sqrt(72)))).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7485\/27 + 50\/(-225).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -496\/2151 - -2\/239. What is the third smallest value in 2, a, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1781721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:57 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2)\/(-1 + -1). Suppose y = f + t - 4, 5*f + 0*t + t - 20 = 0. Calculate the lowest common multiple of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w**2 - 77960*w. Let z(a) = -2*a. Give z(y(u)).\nAnswer: 14*u**2 + 155920*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45625*k + 45712*k - 4263 = 0 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -90.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 19960928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, u: 7, k: 2}. What is prob of picking 1 l and 1 u?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/121 + 272\/363. Let p = -1 + 1.3. Which is the closest to i? (a) -3\/7 (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 207, 428, 661, 912, 1187, 1492?\n\"Answer: m**3 + 214*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sccccrccrrcsrscc.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -53 - (34 - 2)) + -17?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148725602.\nAnswer: 2, 74362801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 - -335. Solve 5*j + 23 = -2*w, -3*w - w - j - o = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18076 by 4.\nAnswer: 4519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6862.647 kilograms to milligrams.\nAnswer: 6862647000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = 14*a - 17*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*q + 12, 5*q + 0*q + 15 = 4*o. Suppose -2*j + x = -1, o = 5*j - 2*x - 6 + 2. Solve j*g - 3*g = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**17*d**(-13\/4))\/(d**(-7)*d*d\/(d\/(d**8*d))) assuming d is positive.\nAnswer: d**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Let t = -51 + 54. Suppose -2*u = -l + 5*l - 6, 2*l + t*u = -7. Calculate the highest common divisor of l and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6723 - 6726. What is the smallest value in g, -5\/3, 0.06, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -14, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - z + (-692*z + 502*z + 406*z + 2*z - 2*z - 3*z + (-2 + 4 + 0)*(5*z - 3*z - 3*z))*(-2 - 2 + 8))*(3*z - 7*z + 2*z).\nAnswer: -1686*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10132 + 3033?\nAnswer: 13165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 0.5 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1053 - 506. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g**5 - 102*g**4 + 14*g**3 + 334*g**2 + 288*g + 56 = 0. Calculate g.\nAnswer: -7, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2303382 and 1136?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 847 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m = -98*m - 364*m + 24647 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40130 plus 384?\nAnswer: 40514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2744645 is divided by 22683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235682 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*y + 82 = -y, y = -2*l + 67. Let u = -33 + l. Let g(z) = -5*z + 10 + 11 - z**3 + u*z**3 - 17. Give g(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 16*y**2 + 56*y - 26. Let w(s) = 5*s**2 + 19*s - 8. Let i(p) = 6*b(p) - 19*w(p). Calculate i(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126637 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133612220 rounded to the nearest 100000?\nAnswer: -133600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -49*o**6\/120 + o**5\/30 - o**4\/24 - o**3\/3 - 4*o**2 - 4*o. What is the remainder when x(-1) is divided by 0 - (-1)\/(1\/13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119 - -257. Let g = i - 110. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54dd04 - -2?\nAnswer: 54dd06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(72)\/sqrt(4)*-6 - ((sqrt(144) + sqrt(144) + (-2*sqrt(144) - sqrt(144)) + sqrt(144))\/sqrt(8) + sqrt(18)))\/(3*2*sqrt(486)\/sqrt(9)).\nAnswer: -2 - 7*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. What is the units digit of (-2 - d - 1) + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12480590 + 49?\nAnswer: 12480639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.03 (b) -0.11 (c) 0 (d) -5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661 less than 2662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose -j = -u*j + 52. Suppose t - j = 53. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 17*y + 10. Let w(l) = 2*l**2 - 9*l + 6. Give 5*w(p) - 3*x(p).\nAnswer: -5*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 3. Suppose -20 = -f*l - 3*s + 19, 4*l = 5*s + 46. Suppose -2*g + 17 = -l. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {t: 7, u: 1, s: 6, r: 6}?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p**(-40)*p*p)\/p*p)\/p)\/p**(4\/7))\/(p**7)**(-6\/5) assuming p is positive.\nAnswer: p**(-1056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from {b: 10, k: 4, n: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 761894711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/60 + 13*f**4\/24 - 5*f**3\/6 - f**2. Let h be (0 - (-12)\/(-18))*-15. What is the remainder when m(h) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 (base 5) in base 6?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 15 = 5*o. Suppose -5*j + 2 = -3*j. Suppose 2*n - 3*t - 5 = -6, -2*t = -n. Sort j, n, o in decreasing order.\nAnswer: j, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 10:25 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z + 20 = 0, 5*z + 3352 = -4*x. Let f = x - -1763. What is f rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -17.7. Put s, -0.1, 38 in ascending order.\nAnswer: s, -0.1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let t be (-45)\/(-6) - 1\/v. Let a be (-8)\/(-28) - (-26)\/t. Let f(r) = 3*r - 4. Calculate f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1772 = a - 5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0108934 and -0.08.\nAnswer: -0.0691066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -24*f**2 + 2864*f. Let i(z) = -4*z. What is i(m(w))?\nAnswer: 96*w**2 - 11456*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 (base 11) in base 8?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2268 divided by -567.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 250071*f - 250071*f - 5*f**2 - 11. Suppose 3*c - 3*h + 27 = 0, -h = 2*c + 3*h - 12. Let o = c - -8. Let m(b) = 2*b**2 + 4. Give o*r(v) + 11*m(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*1\/((-3)\/(-3)). Let j(y) = 3*y**2 + 4*y - 2. Let i be j(3). Suppose 3*n = z + 4, 3*n = -n - 5*z + i. Solve w = m - n*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176954236 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 5*u + 11*z - 1265, -3*z + 750 = 3*u. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*v**2 + 51*v**2 + 60*v**3 + (2*v - v**2 - 2*v)*(-4*v + v + v).\nAnswer: 62*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447201.9 minutes to hours.\nAnswer: 7453.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a**2)*(-2 - 4 - 1)*(-2 - 2 + 2).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 806608.1 meters?\nAnswer: 80660810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 + 5?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/31207 and -43\/44.\nAnswer: 124828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202 + -206. Let i(p) = -2*p + 4. Calculate i(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/9 - 710*t**4\/9 - 8962*t**3\/9 - 23842*t**2\/9 + 3724*t = 0. What is t?\nAnswer: -342, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 398 = -470. Let o = 171 + y. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 2 g when four letters picked without replacement from {i: 2, o: 1, g: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + (7 + 0 - 3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*n**2 - 1 + 0 + 69152*n - 69153*n - 7*n**2 to the form v*n**2 + b + w*n and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 44298?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 656*s**2 - 1340*s + 1992.\nAnswer: 4*(s - 166)*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -3 (c) 2\/5469 (d) 0 (e) 4 (f) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1) - 3795\/(-575)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1036*a**4 - 10043*a + 5016*a + a**3 + 5024*a to the form y*a + b*a**4 + f*a**2 + z*a**3 + g and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -27*c + 6. Determine k(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = 5*o, 4*o + 44 = 4*w - 0*w. Suppose -w = 4*p - 7*p. Solve p*h = -2*c - 22, 0 = 3*c - h + 2*h + 18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + ((sqrt(847) + -1)*-2)**2 + ((sqrt(70) - 1*sqrt(70))\/sqrt(10) - sqrt(7)) + -4.\nAnswer: -78*sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) -0.1 (c) -4 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4122, 0.5, 1\/721, 0.018?\nAnswer: 1\/4122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1087 - 710. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -1\/2, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from cwcwcwwwwpwmcwwc.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 10?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 73*p - 11. Let w(l) = 73*l - 13. Give 6*w(z) - 7*x(z).\nAnswer: -73*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 13) to base 15\nAnswer: 25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 335 - 329. Suppose 19*o + u = 22*o. Solve -5*t + 7 - o = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 707514 and 888.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*n + 175*n = 19872. Is 69 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 32*n**5\/5 + 71*n**3\/3 - 392. What is the third derivative of a(s) wrt s?\nAnswer: 768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*o = 3*w - 6, 22 = 3*w + 4*o. Is 13 a factor of 60\/18*15\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101\/(4040\/(-80))*(15\/2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.799287ms in microseconds?\nAnswer: 799.287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 1 - (73 - 182 - -61)) + 10\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u + 5. Let f(l) = -3*l + 4 + 2*l + 0*l - l. What is -3*f(n) + 2*o(n)?\nAnswer: 2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11210 + 0?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40\/9*m**4 - 1\/9*m**5 + 175\/9*m - 44\/9 + 170\/9*m**3 - 260\/9*m**2 = 0 for m.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f - 4*n + 22, 0 = -5*f - 5*n + 35. Let q be 18*(-7)\/(-4)*f. Let j = 20 - -1. What is the highest common factor of q and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11498 - -11495. What is the nearest to 2\/3 in u, 6\/13, -2\/33?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-120576 - 390*y + 120576)*(y**3 - y**3 + y**3) to n*y**4 + u*y + r*y**3 + p*y**2 + m and give n.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37 - 3?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 564.4 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 5. Let w = 27 - 25. Let y = 3417\/13 - 263. What is the biggest value in y, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11 = -0*k. Suppose 0 = -7*q + 3*q + 20. Suppose q*w + 0*w - 3*p - 60 = 0, 5*w - 4*p - 65 = 0. Calculate the least common multiple of k and w.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/(2\/(-150)). Let n be (-20)\/g*(-5)\/(-2). Put n, -6, -1 in ascending order.\nAnswer: -6, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69582772 to the nearest integer?\nAnswer: 8342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*z)*(-75 + 71 - 202).\nAnswer: -618*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) + 12\/18. Solve -4*z = -5*d - 20, -3*z + j*z + 12 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/35 + -82\/105. Let l be (10\/(-66))\/((-4)\/12). Let s = 9\/44 - l. Sort r, s, 4.\nAnswer: r, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 1 - (-3 + 1). Suppose y = -d*y + 12. Sort 4, 0, y.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 568*q**4 + 237*q**4 + 2*q**2 + 0*q**2 + (-4*q + 4*q + 2*q**2)*(-q**2 - 5*q**2 + 5*q**2).\nAnswer: 803*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.1091\nAnswer: -0.003273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 - 32036*a**2 + 9489363*a = 0. Calculate a.\nAnswer: 0, 299, 31737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 1. Let d(a) = a**3. Suppose 9 = -5*f + 2*f, 0 = -3*v - 4*f. Suppose v*m + 180 = 9*m. Let j be (0 - -1)\/(6\/m). Give j*d(i) - 2*n(i).\nAnswer: -2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2\/2 - 1110. Let b(w) = 1903*w. Give h(b(v)).\nAnswer: -1903*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.035, -50, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s\/(s*(s*s\/((s*s*(s*s*s\/(s**(1\/5)\/s)*s)\/s)\/s))\/s))\/s)\/s*s)\/s*s**(-4)\/s)**(23\/6)*(s\/(s*s\/s**(-3\/5))*s**1)**40 assuming s is positive.\nAnswer: s**(-973\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -26*f**2 + 582*f + 10. List the prime factors of r(8).\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 + 4*y**2 - 7*y - 4. Let d(m) = 4*m**3 - 5*m**2 + 6*m + 5. What is 4*d(r) + 5*i(r)?\nAnswer: -4*r**3 - 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g + 23. Let h(c) = -8*c + 8. Let u(m) = m + 16. Let b be u(-10). Let w(s) = b*x(s) - 17*h(s). Let j(p) = -2*p + 13. Let k be j(5). Give w(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 2*w - 5, -4*x - 4*w = -40. Suppose -x*y - 20 = 0, c - 2*y = -0*c + 11. Suppose -c*u - 3*h = -126, -6*u - 4*h + 94 = -4*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**3 - 681*q**2 - 4*q - 4. Let d(v) = -14*v**3 - 2042*v**2 - 11*v - 11. Determine -4*d(l) + 11*w(l).\nAnswer: l**3 + 677*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/99*1*(-3)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3891 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c - 3*c)*(2 - 2 - 3)*(-3*c + 0*c + 2*c) to q + o*c**2 + y*c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13586 - 13582. What is the nearest to 2\/7 in 0.03, h, 0, -0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206538 by -25.\nAnswer: -206538\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 421554 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/19)\/(t**(-1\/7)\/t)*t*t*t**(-6)*t*t*t*(t**(3\/8)\/t)\/t assuming t is positive.\nAnswer: t**(-1689\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9203*m + 9217*m - 98 = 0. Suppose 8*h = 3*h + 20. Solve 4*r - 3*n - m = -2, -h*r + 4*n = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 27 = -4*f, 16*f + l + 8 + 10 = 11*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 8*q - 2. Let h(r) = 3*r**2 + 8*r + 3. Let s(m) = -3*h(m) - 2*l(m). Determine s(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 2*o**3 - 4*o**3)*(2 + 2*o - 2) - 2*o**4 - 7 + 24*o**2 + 2 - 31*o**2.\nAnswer: -6*o**4 - 7*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 390 = -5*b - t, 2*b - t - 143 = 0. Let j = -51 + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 43 + 0 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 13. Let n be ((-8)\/h)\/((-1)\/5). Suppose 3*j - 125 = -5*r, n*r - 3*j - 38 - 35 = 0. Calculate the remainder when 87 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let s(w) = -13*w**2 + 22*w + 4. Let m = 220 + -223. Let t(o) = 10*o**2 - 21*o - 3. Let n(f) = m*s(f) - 4*t(f). Give n(k(d)).\nAnswer: -4*d**2 - 36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j = 54 + 628 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3) + 5\/1. Let m be (0\/1)\/(-16 + 18). Solve m = -w*u + 2*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 127890.\nAnswer: 255780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 9*n**2 + n + (-2 + 1 + 0)*(0*n**2 - 3*n**2 + 2*n**2).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.01 (c) -3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43657 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: Let h be 30\/(-2) + 9 + -7. Let b = h + 17. Find the common denominator of 103\/18 and (-115)\/50 - (-1 + b).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -18*p + 27*p. Let t(z) = 23*z. Let n be t(1). Let l = n - p. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -357.\nAnswer: -357, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (2 + -16 + 16 + -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from seeqeyyeqeoyeqy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/35 + (-237)\/316?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -49\/26 and -2\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l**4 + 62*l**2 - 2288*l wrt l.\nAnswer: -108*l**2 + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -18 (c) 88 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 69966*b**2 - 404061408*b + 45297336480.\nAnswer: -3*(b - 110)*(b + 11716)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27184.94+-444\nAnswer: 26740.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 93*z + 34*z + 220 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1200021002121 (base 3) to base 12\nAnswer: -36b6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705173.9 decades in months?\nAnswer: 84620868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*o - 356*o - 16232 = -98880 - 15628 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 70 + 31*b**2 + 109 + 106 - 392.\nAnswer: 31*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*b - 30 = 0, 2*b = 2*f - 2*b + 16. Suppose -f*o + 53 = -h - 58, o - 43 = 3*h. Does 2 divide o\/18 - (-2)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -821688 bigger than 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 268. Let v(n) = -n - 28512. Give v(w(q)).\nAnswer: q - 28780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/100 and 179\/15330.\nAnswer: 153300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 415\/4 or 104?\nAnswer: 415\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 90?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 123 - 64 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -61. Let o be (-1 + 1 - -21) + -1. What is the least common multiple of 8 and 3\/(-6) + o\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 5. Let o(r) = -r + 2. Let x(m) = 5*o(m) + 3*y(m). Let p be x(-4). Let d be (-56)\/p - (-12)\/(-54). Solve 4*k - 10 = d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(792) + -2*sqrt(792))\/sqrt(128).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*u**2 + 22900*u - 6544 = 0. Calculate u.\nAnswer: -1636, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61566*-0.889\nAnswer: -54732.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 0*q - 4 - 6*q + 3*q**2. Let y(r) = -3*r**2 - 2*r + 3. Let f(a) = -2*a**2 - a + 2. Let m(n) = 5*f(n) - 3*y(n). What is -4*m(j) - p(j)?\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**3 + 36*h**2 + 5*h + 41 wrt h.\nAnswer: 42*h + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7379220 + 7379216.00000003. Let a = -3.91 + -0.09. Let f = u - a. Round f to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 16*j + 65. Let s be u(11). Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 22*m**2 - m - 17. Let y be k(-22). Suppose w - 317 = -y*z + 3*z, 4*w = 5*z - 760. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o + 41 - 18*o + 36*o)*(0*o**3 - 5*o**3 - o**3).\nAnswer: -12*o**4 - 246*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 65183953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 15 = 3*s - 24, -2*s + 4*o + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 27 + 13 = 0. Let k = -11608 - -11668. What is the smallest common multiple of k and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a - 6 = 0. Let d(v) = -5*v - 4. What are the prime factors of d(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 1\/2, 5, 0.1, -204?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i + 321*i**2 - 17*i.\nAnswer: 321*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 6*u. Let v(d) = 2*d**2 + 21*d. Let o(i) = 21*r(i) + 6*v(i). Let z(h) = 3*h + 22*h - 15*h. Give z(o(q)).\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 35 = -13*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8145.093 centuries in millennia?\nAnswer: 814.5093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w**3 + 33. Let s(l) = -35*l**2 + 35*l**2 - 2 + l**3. Calculate -2*g(q) - 33*s(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.6 - -8.7. Which is bigger: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 3*j**2 + 3*j**2 + (-j**2 + 2*j**2 + j**2)*(4 + 2 - 4) + 3*j**2 - 2*j**2 + 0*j**2 + 2*j + 2*j**2 - 2*j to w*j + k + n*j**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-2)*1\/(-2). Suppose k + 4*z + 18 = 0, 6*k = 2*k + 2*z + 18. Put l, k, -5 in decreasing order.\nAnswer: k, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10) + 0 - (57 - 84 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/(-45) - 7\/(-3). Solve 3*y - 2 = 3*k - 5, o = -2*k + y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6204 divided by -5\nAnswer: -6204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-10)*30\/(-9). Suppose -4*d - 6 - 22 = -2*n, 0 = i*n - 4*d - 56. Calculate the least common multiple of 6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217632583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((3 + 0 + sqrt(80) + sqrt(80))*-2 - (2 + 0 + sqrt(80) - (-4 + -1 + sqrt(80)))))**2.\nAnswer: 14976*sqrt(5) + 52164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-171)\/5)\/(21 + 1056\/(-50)). Is t greater than or equal to 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 + 2*v. Let l(q) = -826972*q. Give l(z(n)).\nAnswer: -10750636*n**2 - 1653944*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -137, -138, -137, -134, -129?\n\"Answer: w**2 - 4*w - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1246 + 1251. Let m(s) be the second derivative of -1\/24*s**3 + 0*s**4 + 0*s**2 + 5*s + 0 + 1\/80*s**t. Factor m(x).\nAnswer: x*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25688.3 take away 0.1?\nAnswer: -25688.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432201010 (base 5) to base 6.\nAnswer: -103153025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 369.\nAnswer: 1\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365838006?\nAnswer: 2, 3, 31, 1966871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 + -0.07. Let u be -1 - 9*(-4)\/(-4). Let x be (8\/20)\/(u\/(-25)). Which is the third smallest value? (a) 1\/4 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 6*o + 2. Let w be c(6). Let q be (w\/1)\/(4 - 3). Solve 1 = -z + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-10)\/55*1). Let p = 21 - y. What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 11*d**5\/40 + d**4\/6 - 5*d**3\/2 + d**2. Let t(h) be the first derivative of g(h). What are the prime factors of t(2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 3. Let q = 67159\/5 + -13390. Let v = a - q. What is the third biggest value in 4, -2\/5, v?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -13 - 92. Calculate the smallest common multiple of m and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145926.\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*u + 2*k - 1, 5*k - 1 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 49425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (4 - (-3 + 5 - 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - 7) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/15)\/((-2)\/24). Let d(h) = 4*h - 1. Let g be d(l). Suppose g = 3*s + 2*s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 3*b**2 + 3*b. Let w(i) = -i**2 + i. Let j be 6\/(-3) + (-1 - -4). Determine j*l(m) - 2*w(m).\nAnswer: 2*m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 6*m + 4*m)*(-15 - 24 + 12 - 9 - 4 + 5 + (-1 - 2 + 1)*(2 + 0 - 1)).\nAnswer: -185*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2 - 3594944*s + 46734610 = 0 for s.\nAnswer: -1797485, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 963945*j - 963945*j - 718*j**2.\nAnswer: -718*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 3\/20*y**5 + 0 + 0*y**2 - 1\/12*y**4 - 2*y + 1\/2*y**3. Let n(j) = -4*j**3 + 2*j**2 - 4*j. Determine -3*k(i) - 2*n(i).\nAnswer: -i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 + 12152*k**2 - 96988*k + 84840 = 0.\nAnswer: 1, 7, 3030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 227*g**3 - 6*g**2 + 3*g + 1. Let t(r) = 454*r**3 - 11*r**2 + 4*r + 1. Let c(q) = -11*o(q) + 6*t(q). Find the second derivative of c(i) wrt i.\nAnswer: 1362*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 57*j**3 - 45*j**3 - 3 - 483*j**3.\nAnswer: -585*j**3 - 3*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q + 10. Let l(w) = 23*w - 30. Let x(m) = -17*a(m) - 6*l(m). Let s be x(7). Let y(r) = r**2 - 5*r + 2. Let u be y(4). Are s and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, e: 1, j: 5}. Give prob of picking 2 d.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 113122?\nAnswer: -113122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 60. Let u be m(-21). Determine v, given that -79*v**5 - 12*v**2 - 12*v + 5*v**4 + 9*v**u + 82*v**5 + 7*v**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/g)\/g**10 assuming g is positive.\nAnswer: g**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81068 and 6812?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 2, j: 1, x: 1, m: 2, k: 2}. Give prob of sequence kxji.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 101332471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -67. Solve 3*o = -3*a + x, 5 + 1 = 2*o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + -56 + 20 - -116.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 3*d + 5. Let j be l(-2). Suppose -j*o = -4*o. Solve -3*k + k + 10 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 488 = -2*l. Suppose 4*b = -d + l, -4*b + 5*d = -113 + 3. Suppose -i + 6*i - b = 0. Solve x = -x - i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 15*a**2 + a - 13. What is the units digit of n(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -0.2, 16, 1\/3, -4\/3 in descending order.\nAnswer: 38, 16, 1\/3, -0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 19 = -m, 5*m - 21 = 2*n + 4. Suppose 40*g = 41*g + 2 - 5. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48193 + 2506 + 4984 = -403*i for i.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7075?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6 + 7 + q - 4*q + 6*q. Let w be u(0). Suppose 6 + 33 = w*c. What is the greatest common divisor of 6 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**7\/210 + 2*t**3\/3 - t**2 - 3. Let p(b) be the second derivative of k(b). Differentiate p(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 41628390*q**3 + 192547053157500*q**2 + 296868083822273906250*q + 1484335605440244140625.\nAnswer: 3*(q + 5)*(q + 4625375)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Suppose 5*q = 6*q - 2. Let b(d) = -5*d**q + 4*d**2 + d**2 - d**2. Give b(w(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 25*m**2 + 3*m**2 + 12*m**2 + 5*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 8. Solve 0*d - 2*d = -w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b**(-2\/21))\/(b\/b**(-5\/6)*b*(b**(-1\/6)\/b)\/b) assuming b is positive.\nAnswer: b**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/99 and -34\/249903.\nAnswer: 2748933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/24 - h**3\/2 - 6*h**2. Let j(u) = u**3 - u - 3. Let q be j(0). Let g be p(q). Solve 3 = -g*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2087324 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (343*f**2 + 60*f**3 - 343*f**2)*(-4*f + 2*f + 0*f) in the form s + k*f + d*f**3 + u*f**4 + i*f**2 and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**6\/15 + 97*i**3\/3 + 3975*i**2\/2 + 3098*i. Find the first derivative of g(a) wrt a.\nAnswer: 16*a**3 + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 790745.28701686 and 5?\nAnswer: 790740.28701686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -1, -1\/3, 2, 0, 246, 21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 90 + 40*y**2 - 5\/3*y**3 + 0*y. Factor m(f).\nAnswer: -5*f*(f - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 38*o + 3. Let f be d(19). Suppose -2*n - 18 = -v, 5*v - f*v - 3*n - 32 = 0. Calculate the remainder when 24 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 6) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*i**2 - 2*c**3 + c**2*i**2 - 1048*c*i + 42*i**5 wrt i.\nAnswer: 6*c**3 + 2*c**2 + 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5876)\/1638 - 880\/(-198).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1491*m - 1486*m - 1375. Does 55 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 86*j + 240204 - 33232 = 0. What are the prime factors of j?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let w(d) = 2. Let l(k) = -b(k) - w(k). Let q(f) = 5*f + 1. Let i(s) = 6*l(s) + 2*q(s). Differentiate i(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-3)\/2*(-20)\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -30709.47?\nAnswer: 24567.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 7*r + 5. Give k(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-530)\/265 + (-124)\/(-66) + (-2)\/6?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1355 + 1363. Let z(x) be the first derivative of -18*x**2 + 6 + 16\/3*x**3 + s*x. What is i in z(i) = 0?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 218 = -19*p, 5*p - 10883 + 10825 = t for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207900 and 85932.\nAnswer: 6444900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -63406.253 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5716 or 5717?\nAnswer: 5717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9))**(3\/5)\/(u\/((u*u**5)\/u)*u**(2\/19)\/u) assuming u is positive.\nAnswer: u**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 35*c - 1032. Suppose 0 = c*w - 27281 - 8269. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q + 2*q)*((q - q - q)*(-2 - 4 + 2) - 5 - 8*q + 5).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Let t(j) be the first derivative of -4 - 15\/2*j**2 + 0*j. Give q(t(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-50)\/5)\/(2 + 0). Let t = -3 - f. Find the first derivative of 0*z**2 - 5*z**3 + 0*z**2 + 2 + 0*z**t wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 - 12.9. Suppose 221 = -s + 3*s + v, -4*s + 467 = -3*v. Which is the smallest value? (a) -2\/11 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765621?\nAnswer: 19, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -123a?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/126 + 6\/(-42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 61. Put -2, 1, 2, c in increasing order.\nAnswer: -2, 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b**2)\/b)**(-19)\/(b\/(b**(2\/3)*b))**(-2\/25) assuming b is positive.\nAnswer: b**(-5704\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 1, e: 3, p: 1}. What is prob of sequence pew?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2285 is divided by 263.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2912723.\nAnswer: 11, 264793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 1 - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4\/3 (c) 115 (d) 422 (e) 3 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 11 + -2 + (-1)\/((-1)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (13 + -16)\/((-2)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*w = -21738 - 14970. What is the lowest common multiple of w and 644?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4058, 6329, 8610, 10901?\nAnswer: 13202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1824 - 9068\/5. Let k(c) = -c**3 + 19*c**2 + c - 19. Let m be k(19). Suppose -5*w = 4*o - 39, m = -2*w - 3*o - 88 + 98. Is l greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -778 = -4*b - 2*y, -175 = -b + 4*y - 3. What is the highest common divisor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 81*z**3 - 4*z**2 - 7*z + 10. Let y be j(5). What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/704 in -34, -21\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**4\/x*x)*x**(-2\/3)*(x**(-1\/6)\/x)\/(x\/x**(2\/7)))**46 assuming x is positive.\nAnswer: x**(-6325\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from rkrooooorh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 823 - 81. Calculate the highest common factor of j and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23926*h**3*q**2 + 2*h*q**2 + 779*q - 3 wrt h.\nAnswer: -143556*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 275255 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 16. Let o(c) = -1 - 17*c + u*c + 6*c. Let k(h) = -7*h - 2. Calculate -2*k(z) + 5*o(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 835114*f*g**2*v**3 + f*g*v - f*v - 2*g**3*v**3 - 3*g**3 - 4666*g**2 - 2*g*v**2 + 16 wrt v.\nAnswer: 5010684*f*g**2 - 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*m + 3, -3*a = -a + 3*m + 11. Let k be ((-13 - a) + 6)*1\/2. Solve k = 2*j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiusisus. What is prob of sequence iusu?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 9. Let p = -7.7 + k. Let f = 3.01 + -0.01. What is the third smallest value in -5\/3, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - c**2 - 7*c - 2 + 5. Let y(g) = -g**2 - 5*g + 3. Let w(j) = 2*i(j) - 3*y(j). Suppose -196 + 763 = -189*b. What is w(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 29*i**2 - 4*i + 2. Let y be (6 - 2) + -6 + 4. Let h be v(y). Let w(n) = h*n - 110*n - 4*n**2. Let f(z) = -2*z. What is f(w(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-12)\/(-30))\/(6\/(-15)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.29 take away 37234?\nAnswer: -37228.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 9*x**2 + 8*x + 3. Let p be o(8). Let t = 103 - 83. Solve t = -2*l - p*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11247?\nAnswer: 3, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3400 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) -0.087 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 - 4*g**3\/3 + g**2\/2 - 2*g. Let r be y(8). Let c be (4\/136)\/(r\/(-4)). What is the smallest value in 4\/5, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**3 + 36*v**2 + 3*v - 76. Let w be y(4). Suppose -1\/5*l**5 + 0*l - 6\/5*l**2 + 7\/5*l**3 + 0*l**4 + w = 0. Calculate l.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2540887?\nAnswer: 2540887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:23 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -601892.2 - -3.\nAnswer: -601889.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 + (7 - 4) + -4. What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p)**7*(p**(2\/7))**(1\/14) assuming p is positive.\nAnswer: p**(-1025\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 28*b - 1. Calculate z(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + 8. Calculate the remainder when p is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12541 - -35?\nAnswer: -12502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4860) - -5*sqrt(4860))*6)\/(sqrt(300)*4*-5).\nAnswer: -81*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7165*h**2*v - h**2 - 4*h - 354 wrt v.\nAnswer: 7165*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68) + sqrt(17))**2 + sqrt(17) + -5*(0 + sqrt(17)) + (sqrt(425) - (-1 + sqrt(425) + 0 - sqrt(425))).\nAnswer: sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 10*c - 6*c. Suppose -12*y = -7*y - 3*k - 5, c = -y + 5*k - 21. Solve 2*j = -5*z + j + 6, -3*j = 4*z + y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**5\/4 - r**3\/2 + 3*r**2\/2 + 2*r. Let o(t) = 4*t**3 - 2*t + 2. Let n = -4 - -2. Let b = n + 0. Give b*q(k) + 3*o(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - a - 10029, a + 659 = -4*o + 10686. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (10 - 8 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -595\/4 - -150. Which is the second biggest value? (a) 22 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = 2*b + 3*c - 116, -6*c + 18 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 9:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 + 3*l - 1. Suppose -20 = -4*r - 4*b, 5*r - 5 - 11 = -2*b. Let f be q(r). Factor 2 + 5*m - 3*m**2 + f*m**2 - m.\nAnswer: 2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Let l(q) = -3*q**2 - 15*q. Suppose 4*o + 11 = -g + 1, 0 = 2*g + 4*o + 12. Let b(v) = -v. Let n(k) = g*l(k) + 30*b(k). What is m(n(w))?\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 51*v - 719. Let l be k(14). Suppose -4*z + 2*z = -b + 30, 0 = 4*b - 16. Put z, 4, -3\/4, l in descending order.\nAnswer: 4, -3\/4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 25*w - 261. Let n be o(5). Let g be (2\/(-21) - 0)*(-612)\/n. Let q = -3.2 - -3. What is the second smallest value in q, -5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {e: 1, l: 8, g: 8}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, x: 5, i: 1}. What is prob of sequence xxix?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/346312 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (4 + sqrt(32))**2) + -2*(-1*sqrt(2) - sqrt(2)) + (-3 + -1*sqrt(2))**2.\nAnswer: -37 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9287*a + 9295*a - 30 + 3*a**3 - 2*a**2 + 26 to u*a + v*a**2 + q*a**3 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*f - 1, -7*f = -3*f + 3*u + 5. Suppose -f = 5*b - 21. Let y = 1 - 3. Sort y, b, 0.5 in ascending order.\nAnswer: y, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 207*t - 2. Let j(p) be the first derivative of -p**2 + 930. Calculate j(b(n)).\nAnswer: -414*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 47 = 3*x + 2*x, 0 = -2*x + 4*q - 26. Let z(f) = f**2 + 8*f - 5. Let m = -87 - -91. What is the least common multiple of m and z(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3 - 3*p + 13 + 2*p. Let x be j(7). Solve 0 = -x*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 12. Let z(o) = -2*o + 6. Determine -4*p(u) - 7*z(u).\nAnswer: 6*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 12. Let o(r) = 5*r**2 + 3*r. Is o(p) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let u(n) be the second derivative of 5*n**4 - 17*n**4 - 44*n + 18*n**4. Calculate u(q(l)).\nAnswer: 288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -9*d**4\/4 + d**3 - d**2\/2 - 3*d + 1494. Let s(x) = -8*x**3 + 4*x**2 - 2*x - 4. What is -3*s(v) + 4*z(v)?\nAnswer: -12*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 2. Let k be m(-2). Let v be 343\/147*-2 - (-11)\/3. Put 5, k, v in decreasing order.\nAnswer: 5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/50 - (-58)\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n - 1\/20*n**6 - 3*n**3 + 0 - 11\/4*n**4 - 6*n**2 - 19\/30*n**5. Factor r(w).\nAnswer: -2*(w + 3)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211001112120200 + -12?\nAnswer: -211001112120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/5 + 0. Let t = s + -409\/10. Calculate the common denominator of 13\/56 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/12 - 3\/(-9). Let y(a) = 3*a**2 - 2*a + 1. Let u be y(b). Suppose -u*o + 2 = -o. Solve 3*q - 4*q = 2*z, -o*z = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*q - 7, -2*q = -g + q + 13. Let a = g - -46. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1078000 - -5?\nAnswer: 1078005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 772 + 717 - 622.\nAnswer: t + 867","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.956 rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -5*(0 + sqrt(245)*-1 - -4*sqrt(245)*-1)**2).\nAnswer: 153110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 129 + -111. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (2*1*sqrt(95) - sqrt(95)))\/(sqrt(55)\/(sqrt(44)\/sqrt(4))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-13770)\/119340)\/((-27)\/(-13))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 1. Let n(q) = -4*q**2 - 3*q - 6. Let r(m) = -6*c(m) + n(m). What is the second derivative of r(x) wrt x?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - b**2 + 56*b + 100. What is the remainder when 199 is divided by i(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 2, f: 2}. What is prob of sequence on?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 79?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 206*m + 21. Let w(g) = -4*g**2 - 414*g + 47. Give -9*q(p) + 4*w(p).\nAnswer: 2*p**2 + 198*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h**3*i**2*w - 9998*h**3*i*w**2 + h**2*i**3*w**2 - 4058*h**2*i**3*w + 2*i**2 wrt w.\nAnswer: -19996*h**3*i + 2*h**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 1 - 1)*(0*f - 2*f + f) + 99*f**2 - 99*f**2 - 3*f**3 + 0*f**3 + 0*f**3 - f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 + 94. Let s be ((-11)\/(-2))\/(4*(-3)\/c). Which is smaller: 34 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*a = 603*a - 430 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - -9) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 706 + -736. Let s be (3\/(-9))\/(2\/k). Solve -l = 6 - s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-8)*12\/243. What is the second biggest value in 8, -5, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307000 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*t - 118 - 99, -4*x + 212 = 4*t. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 - 108*i + 179. Calculate k(-38).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*j + 1 = -5, 5*j - 1 = -2*q. Suppose 18400 = q*d + d. Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151100 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 4 (c) -0.1 (d) 0.1 (e) -6\/13 (f) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 23 = -4*z + 49, -3*z + 25 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/5 + 16*l**3\/5 - 102*l**2\/5 - 1976*l\/5 - 1859\/5 = 0. Calculate l.\nAnswer: -13, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, -2, -4 in increasing order.\nAnswer: -189, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.28?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from ttctcucccucuc?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65) + (sqrt(65) - 1*sqrt(65)) + sqrt(65)))\/sqrt(5)*-3.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211011010202002 + -10?\nAnswer: -211011010202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000938543811 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {a: 1, y: 1, s: 2, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195, -806, -1829, -3264, -5111?\n\"Answer: -206*d**2 + 7*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14340*z - 14334*z - 21 = -15*b, -3*b - 31 = -2*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -125 + -1\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((6*(sqrt(704) + 2 + 3))**2 + -3 - ((4 + (0 + sqrt(704) - sqrt(704) - sqrt(704)) - sqrt(704))*4 + -4)**2).\nAnswer: -18960 + 4416*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9773 (base 13) to base 11\nAnswer: 148a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 164*p + 32. Let s(t) = -5*t + 3 + t + 14*t + 5*t. Give 32*s(a) - 3*x(a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y**2 - 7*y. Let s(h) = -h**2 + 21*h + 1. Let d be s(21). Let v(m) = m**2 + m. Determine d*o(t) + 5*v(t).\nAnswer: -t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -721938.\nAnswer: 5775504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1*-2 + 3). Let l be (r\/(-2)*-2)\/(-1). Let i = 19.1 - 19.3. Which is the second smallest value? (a) i (b) l (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0 + 1\/3*u**3 + 4*u + 0*u**2. Let s(x) be the first derivative of 9*x**2\/2 - 198. Determine k(s(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -14*b + 5. Suppose 4*m - 10 = 3*j, -94 = -5*m - 104. Let d(u) = -14*u + 6. Give j*w(r) + 5*d(r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:09 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8966 is divided by 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10361 = -22*c + 4313. Let v = c - 663. Solve b = v*b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689234 divided by -6?\nAnswer: -781539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 43, 72, 103?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 538\/(6\/6 + 9\/(-15)). Let w = -917 + y. List the prime factors of w.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**3 - 1. Let j be 6\/4 - (-4)\/(-8). Let k = 2 - j. Let o be 10\/5 - (k - 0). What is n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o, 4*t = -3*o + 8. Solve 0 = -g - t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883477650.\nAnswer: 2, 5, 59, 638467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2360 divided by -472?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 13*q**2 + 21*q + 3. Give c(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16430, -16250, -15950, -15530, -14990, -14330?\nAnswer: -13550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 9*d - 1. Let u be s(-8). Let x = u + 13. Suppose 4*q - g - 9 = 1320, -5*q + 1635 = x*g. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -86*m + 54. Let v(l) = -85*l + 54. Let r = -154 + 157. Let n(u) = r*v(u) - 4*b(u). Differentiate n(s) with respect to s.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*a + 6 = -3*t, -5*a - 25 = -5*t. Let c(z) = 3*z**3 + 1. Let s be c(t). Suppose -22 - s = o. Round o to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 775353637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00135872 to five dps.\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 227, 492, 1043, 1976, 3387, 5372?\nAnswer: 8027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3556979102.8 + -48.\nAnswer: 3556979054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -292*z - 264*z**2 + 263*z**2 + 0 - 2 + 2*z - 2*z + 2*z**2 + (5 - 2 + 0)*(-1 + 1 + z**2) - 2 + 2*z**2 + 2.\nAnswer: 6*z**2 - 292*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16040594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:36 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -10*f + 39. Let o(d) = -9*d - 4. What is the remainder when o(-6) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*h*j**2 + 19*a*h*j*k + 2*a*h*j - 5*a*j + 4*a + 3*h*k - j**2*k wrt k?\nAnswer: 19*a*h*j + 3*h - j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148533089 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13*s - 232. Let k be z(18). Factor -44*a - 21 - 69 + 4*a**k - 54 + 7*a - 27*a.\nAnswer: 4*(a - 18)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 42. Let g be u(23). Let h be (11 - -1)*(g\/6 + 0). Let m be h\/3*4\/(-16)*6. Solve -m*a - a + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/9)*r)\/(r*r**(-7)*r))**(-37)*(r\/r**(-2\/3))**(-35)\/(r**4\/r*r*r\/r**(-1)) assuming r is positive.\nAnswer: r**(-2984\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 7. Suppose -w + 31 = -3*f. Let l = f - -11. Solve -l = 4*y - 2*p + 3, 3*p = 4*y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1055 - 1061. Let n = 0.096 + -0.596. Let l be 43\/9 - (-6)\/27. Sort l, n, c, 0.2 in decreasing order.\nAnswer: l, 0.2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-1 + sqrt(384) - sqrt(384))\/(sqrt(32)*4) + 5 - (-3*-6*((-2*sqrt(24))\/sqrt(8) - (-2*sqrt(3)*-3 - sqrt(3))))**2.\nAnswer: -47623 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.868614 decades?\nAnswer: 1184.23368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0*y**3 - y**3 + 2*y**3)*((-3 - 1 + 3)*(-4 + 0 + 3) - 4 - 4 + 5)*(2*y**2 - y**2 + y**2).\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -27490468243 plus -0.16?\nAnswer: -27490468243.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-2 - -3)*(-125)\/(-250)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**3 - 7*c**2 + 6*c + 15. Let b be r(5). Let j = b - 360. What is the highest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309008023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1334, 1507, 1796, 2201, 2722, 3359?\n\"Answer: 58*p**2 - p + 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79.21 times 1.07\nAnswer: 84.7547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 26*o**2 - 6*o - 33. Calculate the remainder when c(-26) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664274 (base 13) to base 3.\nAnswer: 11112100121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 + 6. Let m be b(3). Let x(q) = q**2 - 37. Let d be x(m). Let n(y) = 108*y**2 - y - 1. Is 12 a factor of n(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19+114369026\nAnswer: 114369045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 + 365. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -322.3 - -344. Let c = 23.7 - s. Does c = 65\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-336)\/(-12)))\/(2\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 12 - (-13 - 19 - -55)) + -69?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 - 2*o**3 + 7*o**2\/2 - 11*o. Determine q(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k - 1. Let i be z(-4). Let d = i + -7. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = f + 64, -15 - 31 = 12*k + 3*f + 26 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 18*v - 70. Let o be d(6). Solve -p = -3*z - 20, o*z + 2*p = -3*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*f - 2*p - 14862, 5940 = 2*f + 2*p. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33049, -66261, -99473?\n\"Answer: -33212*t + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 39*f - 35*f, -10 = -f + 11*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 - 115. Let f = u - 112. Let q = 35 + f. Solve 3*j - 6 = 2*x, 4*x + q = 6*j - j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2 - 5*s - 4. Let b be q(2). Solve -3*h = -b + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6956.026 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11.67 (b) -0.1 (c) -3\/2 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -3*x**4 - 2*x**3 - 8. Find the third derivative of d(s) wrt s.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102345 is divided by 34106?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67143, -68130, -69117?\n\"Answer: -987*r - 66156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/183 and 85\/28.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(50)*1)\/sqrt(10) - (sqrt(245) + -1))**2 + (-3 + (1*sqrt(25))\/sqrt(5) + 4)**2.\nAnswer: -10*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1824923\nAnswer: -5474769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i - v, 0 = 4*i - 8*v + 4*v - 32. Solve -i*h + 7*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**5\/20 + 13*v**4\/12 - 4*v**3\/3 - 9*v**2\/2 + 6*v + 171. Determine f(12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -4.\nAnswer: -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1202?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 132, 9, -87, 0 in decreasing order.\nAnswer: 132, 27, 9, 0, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -457488*q**4 + 2*q - 18031 wrt q?\nAnswer: -5489856*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 19 + 11. Let a be (-77)\/(-5) + z\/(-10). Let g be a\/6 - (-10)\/(-15). Solve -c - 3 = g*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 at most 27245\/144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:46 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54382361493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5540056 (base 7) to base 3\nAnswer: -1021122102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 6*p**2 + p - 5. Suppose -5*y + 27 = -2*y. Let u = y - -1. Suppose 5*c + 26 = -4*x, -3*c - 5 - u = 3*x. Calculate m(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1468703106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2429296 and 59600.\nAnswer: 60732400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 101*s**2 + 1. Let y(v) = -27*v**2 - 133. What is y(t(a))?\nAnswer: -275427*a**4 - 5454*a**2 - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116\/5 + 1\/30. Calculate the common denominator of s and -39\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 - 0 - 1. Let b = 67 + -401\/6. What is the nearest to -0.1 in 1\/4, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-1\/4)\/l)*l\/l**(2\/9) assuming l is positive.\nAnswer: l**(109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3347914 divided by 4637?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 11*g**3 + 25*g**3 - 4*g - 5*g**3 - 11*g**3 as h + d*g**2 + v*g**3 + r*g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 b when three letters picked without replacement from dpnbdgndd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12897976926185\/5982966308628 + -2\/971891863. Let l = o - 26\/1539. Find the common denominator of -127\/12 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*u + 16*g, 31*u - 2 = 30*u + 2*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 + -288.5. Put u, 4, 0.11, -2\/3 in ascending order.\nAnswer: -2\/3, 0.11, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/311? (a) -3\/2 (b) -8836\/5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 7. Let v be n(-6). Suppose v = -3*u + 7. Let o = u - -6. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2. Let m(a) = 2*a**3 - a**2 + 1. Let s be m(1). Let i = s + 5. Let n(t) = 12*t - i*t - 4*t. Calculate n(j(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 4148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 947, 943, 939, 935, 931?\n\"Answer: -4*u + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttsfftwftftwwtxt. What is prob of sequence ftfx?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57\/4*i**2 - 3\/4*i**3 - 165\/4*i - 225\/4 = 0 for i.\nAnswer: -1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 - 4*x**4 + 4*x**4 + (-5 + 10 + 12)*(4 + 2 - 4)*(-29286*x**4 - 3*x**3 + 304 - 29288*x**4 + 58573*x**4).\nAnswer: -36*x**4 - 102*x**3 + 10336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r. Let z be m(-1). Find the first derivative of 0*f - f - 5*f - 3 + z*f wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -12, 2?\n\"Answer: 14*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from yzzarzyza.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -27386*t + 821578. Calculate c(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 0 (c) 103\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*u = 9, -4 = 5*u + 1. Let i(v) = v**2 - 29*v + 156. Let g be i(22). Suppose -2*f + 4*h - 16 = -h, -g*h = -8. Solve -f = -y + z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*-2)\/(129\/(25542\/132)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 16*p - 65*p + 18*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19162*i**4 + 12*i**2 - i + 64?\nAnswer: 459888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 34\/13, 0.5, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + (-6 + 2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5 + 3 + sqrt(48) - -4*(sqrt(12)*-4)**2).\nAnswer: 4*sqrt(3) + 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 16 + 14 + 19 + 4*o - 49. Let k(h) = 13*h**2 - 4*h. Let y(r) = 324*r**2 - 99*r. Let l(n) = 99*k(n) - 4*y(n). Calculate m(l(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*d + 2*k + 40, 0 = -k - 2. Let t = -4 + d. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/((-39100)\/12512)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -49 + 46. Let p be ((-20)\/(-180))\/((-2)\/y). Solve 2\/3*b**2 - 1\/3 + p*b**5 + 1\/6*b - 1\/3*b**4 - 1\/3*b**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*12\/18)\/((-6)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -414, -622, -830, -1038, -1246?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -120?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337608 is divided by 283.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -38. Let g(o) = -o**2 - 11*o + 11. What is the smallest common multiple of g(x) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1742, -27, -3 in descending order.\nAnswer: -3, -27, -1742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 t when four letters picked without replacement from swllsostoolltttstd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 4*z**3 + 2*z + (-4*z**3 - 2*z**3 + 2*z**3)*(1 + 1 + 1) + 3*z**3 + z**2 - z**2 to the form w + g*z**3 + i*z + j*z**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -201602, -198517, -195432, -192347, -189262, -186177?\n\"Answer: 3085*h - 204687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -25.9.\nAnswer: 7.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let h(n) = n. Let z(v) be the third derivative of 0 + 0*v + 0*v**3 - 3\/4*v**4 - v**2. Let g(b) = -15*h(b) - z(b). What is f(g(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -49, -75, -97, -109, -105?\n\"Answer: v**3 - 7*v**2 - 10*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 810.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44660329549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -29*c - 122. Give j(21).\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gooigioory.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**(20\/9)\/(r\/r**(-5)*r\/(r\/(r*r*r**(-1)*r))))**(-9\/2) assuming r is positive.\nAnswer: r**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjojgzzngzw. Give prob of sequence zn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3093233.\nAnswer: 11, 13, 97, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/17 or -5.5?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(140) - sqrt(35))*-2)\/sqrt(5).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**3 + 0*o + 10*o**2 + o + o - 9*o**2 to the form m + h*o + k*o**3 + d*o**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 71 = -71. Let p be (-2 + 1)*3\/(-42). Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94052*d**3*z**2 - 1645*d**3*z + 2*d**3 + 13*d**2 - 3*d*z**2 - 19*d*z + 9062*z**2 - 2*z wrt d.\nAnswer: -564312*z**2 - 9870*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -662 + -15903.\nAnswer: -16565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-395*h + 2 - 904*h + 884*h + 0)*(6*h + 3 - 3) to o*h**2 + c + k*h and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6789 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2643 and (-10)\/(-5 - -10) + -17 + 31.\nAnswer: 10572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-24 - (70 + 4)) + 2).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(sqrt(8)*-2))\/sqrt(4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1036 and -10.\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 - 3 + 6 + 4*o. Let x(k) = 5*k - 3. Let r(y) = 4*y - 2. Let h(u) = -3*r(u) + 2*x(u). What is t(h(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 - 4*v**2 - 10*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -801*u + 798*u - 3. Suppose -h - w + 6 = -0*h, -5*h + 4*w + 12 = 0. Let i be (h\/12)\/((-2)\/4). Which is the closest to -2\/9? (a) 4 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 6. Let o = 0.11 - -5.89. Let i = o - 11. What is the smallest value in i, 0.5, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4606, -10056, -16348, -23482, -31458?\n\"Answer: -421*x**2 - 4187*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*84\/147 - (-1110)\/35\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2921543 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 65003 and 0.3.\nAnswer: 65003.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 17*b - 35. Let z be (-3)\/2*4\/3. Let x be v(z). Solve -3*y = 3*c - x, -3*c = y + y + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/132*1617\/3087?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -1. Which is the closest to -14\/5? (a) q (b) 2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -375*l**4 - l**3 - 559*l**2 wrt l?\nAnswer: -9000*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1, 43, 0 in ascending order.\nAnswer: -17, -1, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5786046 * 0.5\nAnswer: 2893023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + h - 21)*(-h + h - 2*h**2)*(7*h - 49*h**2 + 51*h**2 + 0*h).\nAnswer: -4*h**5 - 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a + 1. Let q(s) = 152*s**4 - 58*s**3 - 77*s**2 - 12*s + 5. Let j(c) = -c**4 - c**3 + c**2 - 1. Let d(v) = a*q(v) + 5*j(v). Factor d(u).\nAnswer: 3*u*(u - 1)*(7*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200480 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**(-15)\/((h*h*h\/(h\/(h*h*h\/h**(1\/4))*h*h*h)*h)\/h)**(-5) assuming h is positive.\nAnswer: h**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38752 = -15*u - 5962. Suppose -44*v - u = -47770. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 6132, 16, 1, 0?\nAnswer: 6132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -63. Let j(s) = -s. Let t(b) = 4*b + 1. Give o*j(c) + t(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 + -8.91729489783.\nAnswer: 26.08270510217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7))**(-9)\/(k**(1\/3)\/k*k)**8 assuming k is positive.\nAnswer: k**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + 2*y, 4*l + 5*y - 16 = 8. Let j = l - 4. Suppose 3*u - j - 7 = 0. What is the highest common factor of u and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153 - 12*i**2 + 153)*(4*i - 3 + 3)*(1 - 7 - 2).\nAnswer: 384*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.172 * 13.2828\nAnswer: -2.2846416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1079955 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 27752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(931) + -1 + sqrt(931)) - (3 + -1 + sqrt(931)))**2 - ((sqrt(171)*2 - sqrt(171))*-6 + sqrt(171))\/(5*sqrt(144)).\nAnswer: -11647*sqrt(19)\/4 + 629420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 261.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26447 is divided by 8433?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4486 is divided by 745?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 + 1. Let j(u) = -2*u**3 + 9*u**2 + 4*u - 9. Suppose -x = 3*x + 4. Let g(m) = x*j(m) - 3*q(m). Let n = 41 - 46. Determine g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let j(u) = -21*u**2 - 2016*u + 1. Calculate j(f(h)).\nAnswer: -84*h**2 - 4032*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6577 or 8238?\nAnswer: 6577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 7. Let y = 93 + -96. What is the second biggest value in y, 5, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3171748, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.02, 4, -4\/3, 18, -1\/1341, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 18295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y + 10\/7*y**2 + 16\/7*y**3 + 2\/7*y**4 + 0 = 0.\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -124. Let i be u + 1 + (-830008 - -8). Round i to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4575 * 0.7\nAnswer: 3202.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(28) + ((sqrt(133)\/sqrt(28) - sqrt(19))**2 - sqrt(19)).\nAnswer: -sqrt(19)\/2 + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -111816644 divided by -397924\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73602 by -6.\nAnswer: -12267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 31*q + 316 = -425 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49.59175 millilitres?\nAnswer: 0.04959175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21.70848 - 1064\nAnswer: -1085.70848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a + 5*a + l - 21, -13 = a + 2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 8:28 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 + 1192*v - 13483052 = 0?\nAnswer: -1991, 1693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51672 + -20646. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1089)\/(-198) + 2\/(-4). Let g(b) = b - 2. Let d(v) = -3 - 3 + 1 + 3*v. Determine u*g(l) - 2*d(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(704)*1)**2 + 5 - (-5*(sqrt(704) + 0))**2).\nAnswer: -16893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10013 - -10?\nAnswer: -10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852034 is divided by 146.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-5 - 0) - 14\/(-2). What is the highest common divisor of o and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3 - -6) + (1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 3*o - 3*o + 6)*(-37 + 38 + 30) as a*o + l and give l.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.687804 tonnes in milligrams?\nAnswer: 5687804000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000110011111110000010?\nAnswer: 1000110011111101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + 6*(sqrt(2299)*-2)**2 + sqrt(2299).\nAnswer: 22*sqrt(19) + 55176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1258\/22 + 2\/(-11). Let f = m + -102. Which is smaller: f or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010206 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530177817 divided by -39.\nAnswer: -13594303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 13, 0, -11 in decreasing order.\nAnswer: 13, 1, 0, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 6*y = -20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/28 - -6 - (-1)\/20\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13865 - 5669. What is the least common multiple of 5 and r?\nAnswer: 40980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1044\/696)\/(((-3)\/(-36)*-3)\/1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q\/q**(-35))*q*q)\/q))\/q**24 assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868 and 1332649514?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m - 4. Let h = 80 + -87. Let l(v) = 13*v - 9. Determine h*n(o) + 3*l(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(1\/13)\/(p**1*p**(-5)) assuming p is positive.\nAnswer: p**(53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + 13242\/(-282) - (2 - -23).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94303 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: Find the second derivative of 1032*u**4 - 179*u**2 + 9 + 179*u**2 + 721*u - 9 wrt u.\nAnswer: 12384*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 59*g + 249*g**2 + 59*g + 1229*g**2 + 60*g**2.\nAnswer: 1538*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(8) + 0 + sqrt(32))**2*3.\nAnswer: 144*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1066504 divided by -266626?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8817 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 4:52 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x - 9*x + 2*x)*(3 - 4 + 2)*(-x - 1 - x - 4*x).\nAnswer: -66*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, 17 in ascending order.\nAnswer: -5, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -3 - (41 + -42)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4 + 20070 - 77*h**4 + 7*h**2 + 9*h**2 - 13*h**4 - 20088 wrt h.\nAnswer: -2208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5425 (base 7) to base 5.\nAnswer: 30210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 92521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3386640 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*z + a - 19, 2*z + 3*a = 9. Suppose -z*l - 5*i - 53 = -5*l, i = -2*l + 23. What is the remainder when 37 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/40 - w**5\/20 - 5*w**4\/8 - 3*w**3\/2 + 12*w**2. Determine y so that h(y) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-34) + (-2920)\/(-4964). Let r be 11\/14 - 3\/6. Which is the closest to r? (a) 5 (b) q (c) -1\/4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1072 = -3*o + 2177, -5*o + 5391 = z. Calculate the lowest common multiple of 110 and o.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 7:08 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**2 + 43202*v + 293477 with respect to v.\nAnswer: -8*v + 43202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-14) + (-7)\/49. Solve -19 = 2*r - j*d - d, d + 1 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*s - 86 - 45, -5*i + 127 = -s. Calculate the remainder when i is divided by (-2)\/(-3) - (-40)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192*r**2 + 2*r + 31?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4072, -4047, -4000, -3919, -3792, -3607, -3352, -3015?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 472149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14448 and 3096.\nAnswer: 43344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - (1 + -2 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9058159*x**3 - 27174739*x**3 + 9058160*x**3 + 9058425*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/11)*k**(-7\/3))\/(k*k\/k**(-1\/2)*k**(-6)\/k))**17 assuming k is positive.\nAnswer: k**(3349\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 6*z + 14 - 74. Let q(g) = -g**3 - 9*g**2 + 9*g - 6. Give q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.5 rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 52. Let b(z) = 2*z**3 - z**2 - 3*z + 4. Let x be b(t). Suppose -4*g + 3*r + 110 = 2*r, -5*r - x = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 256*w + 11)*(-2 - 3 + 7) + 2*w - 3*w + 4*w as s*w + d and give s.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 8*d = 31, 29*d - 24*d + 20 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - sqrt(243)*-1)*6 + 2 - (3 + (sqrt(243) - (sqrt(243) - (-3 + -4*sqrt(243) - sqrt(243)))))**2.\nAnswer: -6073 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -28 in increasing order.\nAnswer: -28, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 12 + 8 + -14 + 13?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3.7, 2, -859, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7011887926 to the nearest integer?\nAnswer: 83737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13110 - 210?\nAnswer: -13320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 - 94. Suppose b*o - 6272 = 8485. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 1, b: 8, i: 6}. What is prob of picking 3 b and 1 l?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 13. Let v be x(-9). Suppose -h + 3 = 3*k - v, 0 = -5*k + 10. Let d(j) = j**3 - 3*j**2 + 2. What is d(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 15*t**2 + 15*t - 5.\nAnswer: 5*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 - 2) - (-2 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 760*z**4 + 9600*z**3 + 39040*z**2 + 52480*z.\nAnswer: -5*z*(z - 164)*(z + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 202*m**2 - 2030*m + 17. Calculate x(10).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 21*x = 56*x + 1302 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -18*l**3 - 161*l**2 - 1339*l - 2747. Let f(w) = 14*w**3 + 160*w**2 + 1340*w + 2748. Let o(d) = 4*c(d) + 5*f(d). Solve o(k) = 0.\nAnswer: -4, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/240 - (-12)\/(-9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*s + 7, s - 49 = -51 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10619342?\nAnswer: 2, 101, 52571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18491, 37006, 55529, 74060, 92599?\nAnswer: 111146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-40)\/(-6)*177\/(-236).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/113034281 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 22*w + 36. Let d be s(-9). What is the common denominator of 97\/234 and 44\/(-154) + 1678\/d?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5991 + -6067 + 1 + 2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11484 = -4*x + 4*i, 4*i + 0 + 16 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48851 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1045885, 4183517, 9412903, 16734043, 26146937?\n\"Answer: 1045877*p**2 + p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let o be ((-54)\/(-45))\/((-2)\/(-15)). Let z = o + -4. Let x(q) = -2 + q + z - 3. Determine j(x(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2 + 2)*(-2 + 2 - 2*f**2)*(-17 + 17 - 7*f).\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4.5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/36 + 115*l**4\/18 - 155*l**3\/6 - 6*l**2 + 82*l. Let f(t) = 0. What is t?\nAnswer: -93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001298701 to 7 dps.\nAnswer: -0.0001299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -3. Suppose -f*o - 77 = -17. Let n = -1395.1 + 1395. Which is the closest to n? (a) 0.1 (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 40500 = 4*p, j + 140*p = 138*p + 8114. What is the greatest common divisor of j and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -1912.8\nAnswer: -1928.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -319\/59 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1 (b) 0.4 (c) -2.8 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 10:12 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {i: 2, a: 2, z: 7}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(147)*-3 - 6*sqrt(147)))**2.\nAnswer: 107163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 428822983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 425 - -37. Suppose 0 = -7*b + b + f. What are the prime factors of b?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6)\/(z\/z**(1\/17)*z))**(1\/22) assuming z is positive.\nAnswer: z**(43\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.201353 rounded to 3 dps?\nAnswer: 6.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r + 0*r**3 + 5\/8*r**4 - 8*r**2 + 0. Let s(b) = b. Calculate s(g(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -5.8109\nAnswer: -1.74327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -38, 0.1203 in increasing order.\nAnswer: -38, 0.1203, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 380575, 380572, 380567, 380560, 380551, 380540?\n\"Answer: -u**2 + 380576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 8*c**2 - 10*c + 16. Calculate m(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 1}. What is prob of picking 2 s and 1 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 10012112010222210?\nAnswer: -10012112011000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofufoffauvyyyffafyuy. What is prob of sequence uff?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424218 is divided by 71209.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114233*g**2 + 6*g - 4*g + 817959*g**2 - 2*g.\nAnswer: 703726*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 39474773?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 0*f + 0*f**4 - 1\/5*f**5 + 16*f**3 - 2\/3*f**6 + 0*f**2 - 89. Find the third derivative of m(u) wrt u.\nAnswer: -240*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1700 + 1703. What is the biggest value in -20, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 - 411033*h**2 - 15623703*h + 16034733 = 0.\nAnswer: -39, 1, 137049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y = -63*y + 968 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from tkeef?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -4000352.\nAnswer: 9\/2000176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188733 and 477.\nAnswer: 566199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.9\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20501135 to the power of 1\/2, to the nearest integer?\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)\/(h**1\/h))**(-1)\/((h\/(h\/(h*(h*h**(3\/4))\/h)))\/(h*h\/(h\/(h**(4\/7)\/h))*h)*(h\/(h*h**(-4)))\/(h*h**(-2\/9)*h*h)) assuming h is positive.\nAnswer: h**(-271\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-1)\/3 + (-70)\/(-760)*-12. Let y = -0.3 - 0.2. Let t = -2 + 3. What is the nearest to -1\/3 in t, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n**2\/n)*n*n**4*((n*(n\/(n**(-1\/4)\/n)*n)\/n*n)\/n)**(-13\/4) assuming n is positive.\nAnswer: n**(-89\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 3*n**2 + n**3 + (-2*n**2 + 3*n**2 - 3*n**2)*(5*n - n - 3*n) + n - n**3 - n - 4 + 4 + 4*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 63 = -5*u. Suppose -d - 3*p = -u, 2*d + 0*d - 4*p = 42. Let x be 7*(69\/d + -3). Solve -o - 2 = x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -647 (c) -12 (d) -0.23 (e) -1 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 3)\/((-10)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 5 = -2*f + 28. Solve f*o = 3 + 49 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 3. Let m be p(-4). Which is smaller: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-150)\/210).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -307476 - -15?\nAnswer: -307461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19314.\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22*((-11452)\/3840 - -3). Let f = 1\/96 + h. Which is the biggest value? (a) -2\/5 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 0 - 8)*(-3*v + 2 - 2)*(141*v - 141*v + 6*v**3).\nAnswer: 432*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4294 divided by 5\nAnswer: 4294\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 145735709873 and -85.\nAnswer: 145735709788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25465, 25468, 25471, 25474?\n\"Answer: 3*m + 25462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63856 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 220 = -7*d + 760. Let t(f) = -f**2 + 29*f - 29. Give t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*k + 254 + 566, 0 = 4*k - 3*w + 642. Let r = 201 + k. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 13*h**2 + 15*h - 30. Let k be r(12). Suppose -n + 10 + k = 0. Suppose 0 = 3*q - q - n. What is the remainder when 53 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 38 + 52 + (-2 - (2 + -34 + 1)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**8\/6720 - c**7\/420 + c**6\/360 - c**5\/30 - 7*c**4\/4 - 19*c. Let w(j) be the third derivative of g(j). What is w(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-12)*-1)\/(3 - -1). Sort -1, -2, a in descending order.\nAnswer: a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*s - 3*q, 4*q - 4 = -s - 14. Suppose -s*t - 2*t + 3 = x, 5*x + t = 15. Suppose -2*l + 1 = -x*k, -k + l = k. Which is smaller: 1\/5 or k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12 + a**3 + 13*a - 2*a**3 - 3*a - 12*a**2 + 4*a**2. Let p be k(-9). Let x(j) = -j - 1. Let o(w) = 2 + 4*w - 4*w + w. What is p*x(y) + 2*o(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 425 - 499 = 0. Suppose 0 = 24*s - 251 - w. Calculate the greatest common divisor of s and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 90296?\nAnswer: 2437992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:19 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 51\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*l = 36*z - 715*l - 109, 3*l = 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -564\/95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0.54, 1.123, -2\/17, 0.1, 0.2?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 8*k + 4. Let o be y(-8). Let d be (o + -3*2)\/(-5). Suppose -3*w - w - 4 = 0. Which is the nearest to 0.1? (a) d (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiifiiiiifi.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1045, -3, 7, -1 in increasing order.\nAnswer: -1045, -5, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -3 + (10 - (-30 - -9 - -20)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3\/10 (c) -0.27 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*i, 2*q = 2*i - 0*q - 10. Let y = i - -26. Calculate the remainder when y is divided by -1*22\/(2 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2 - (-7 - -2)) + -8 - 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-60)\/9 + 3. Suppose -5*a + 5 = 4*r + 14, 2*a = 2*r - 18. What is the closest to -0.05 in m, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 85*a**2 + 4*a - 23. What is the units digit of k(85)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1191, -1189, -1187, -1185, -1183?\n\"Answer: 2*f - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(72\/(-112)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*s + 8. Suppose -3*m + 254 = 2*m - s*b, 0 = -4*b + 8. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/20 + r**4\/12 + 5*r**3\/3 + r**2. Suppose -z + 4*z + 21 = -5*i, -3*z = -i + 21. Is w(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 293?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 13*y**2 + 3*y - 8*y**2 + 10*y**2 + 3. Let a be m(9). What is a rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7980 - 0?\nAnswer: -7980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -3) + -3 + 13. Let l(s) = -d - s + 2*s + 6. Let q be l(6). Is 0 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 6*y**4 + 2*y**4 + (7*y**2 - 2*y**2 - 2*y**2)*(-y**2 + 0*y**2 - y**2))*(2 - 3 - 1).\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + (-4 - -3) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11227.959 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203992623 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 153 - 20*y + 0*y + 80 + y + 9*y.\nAnswer: -10*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8864 divided by 4\nAnswer: -2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.095 and 12025.175286.\nAnswer: 12011.080286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((84\/10)\/3 - 3) + 0. Let i = 0.2 - -0.2. Let l = i + 0. What is the second biggest value in l, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:04 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35525 is divided by 2732?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 4*u**4 - 3*u**4 + (-2*u - 2*u + 5*u)*(u**3 + u**3 - u**3) - 4*u**4 + 4*u**4 - 2*u**4 + (-u**2 + 4*u**2 - 4*u**2)*(-2 + 2 + u**2).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3 + 16140*l**2 + 16142*l = 0?\nAnswer: -1, 0, 8071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by (-10)\/(1\/(-4) - (-55)\/(-132)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -1300025?\nAnswer: -1300035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccceecece. Give prob of picking 3 c and 1 e.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 16 = -a - 3*m, 4*a = 5*m + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 4*d + 2*d)*(-7 + 1 + 2)*(6 - 6 + 2*d**2) in the form r*d**3 + q*d**2 + h*d + k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 15*c - 7. Is 22 a factor of f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 - 4*r**2 - 12*r - 42. Let x be w(6). Suppose 382*p + 48 = x*p. Calculate the remainder when 236 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, -122, -423, -704, -959, -1182?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-128)\/(-12) - (-2)\/(-3) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8777*a**3 - 8*a**2 - 6*a + 33422 wrt a?\nAnswer: 52662*a - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 215073 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474 by -237.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344 (base 6) in base 3?\nAnswer: -1002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.581419ng to grams.\nAnswer: 0.000000002581419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.77 - -0.77. Which is greater: c or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (491*x**2 - 11408*x + 11408*x)*(5 - 5 + 9) + x**2 + 0*x**2 + x + 0*x as n*x**2 + f*x + l and give n.\nAnswer: 4420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*b = 120*b - 12. Solve 0 = 5*i - 4*i + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(19)*-2)**2*-5.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 17*n - 26 + 83.\nAnswer: -17*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 73348903, 146697800, 220046695, 293395588, 366744479, 440093368, 513442255?\n\"Answer: -d**2 + 73348900*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2188001 (base 10) to base 3.\nAnswer: -11010011101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -15, 5, -9, 3\/5, -2\/3 in increasing order.\nAnswer: -15, -9, -2\/3, 3\/5, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12376351*o**3 - 37*o**2*s - 27*o*s + 162*o + 16434*s wrt o.\nAnswer: 74258106*o - 74*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 3*g + 266. Give m(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7153 (b) 1 (c) -0.1 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 0.11. Let p = -0.627 - -0.127. Which is the third biggest value? (a) p (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k**2 + 7*k**2 - 2*k**2 - 8*k**2.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -38. Let i be (-6)\/2*n\/(-12). Let k = 56 - 225\/4. What is the closest to k in 1, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n - n + 3*n + (-3*n + 2*n - n)*(2 - 2 + 3) - 4*n + 3*n - n + 5 - 2*n - 5)*(0*n**2 + 0*n**2 + n**2) as p*n + f + u*n**3 + b*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -229 and 0.4.\nAnswer: -91.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 + 2631*c**4 - 210591*c**3 - 3126639*c**2 - 5610966*c - 2697552 = 0?\nAnswer: -11, -1, 104, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -456213 divided by 456213\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 8*p**2 + 5*p + 8. Let k be x(7). Let y(t) = t + 5. Let g be y(k). Which is the nearest to g? (a) -2\/7 (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.39 * -0.257\nAnswer: 0.35723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 26*m**2 - 2*m + 20. Let k(c) = 78*c**2 - 6*c + 59. Let g(z) = 3*k(z) - 8*v(z). Is g(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -500 (b) 5 (c) -3 (d) 75\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -12, -4*g + 3*g = 2*x - 11. Let h = 10 - g. Suppose -h*p + 235 = -4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1152003200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.66 + -5.34. Let h = -25 - -15. Let v = h - t. What is the nearest to v in -4, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 11, g: 1, t: 1, k: 3}. Give prob of sequence qkkq.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3474 a factor of 2813464804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15126)\/(-18870) - (-8)\/(-10). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566 - 11*l - l + 208 + 156 + 202 - 8*l**2.\nAnswer: -8*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 2. Let k(g) = -4*g - 6. Let y(c) = -7*h(c) - 2*k(c). Give y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjwwjj. Give prob of sequence wwj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = 2*g, 4*g = -0*u - 4*u - 4. Let a be ((-1)\/3)\/((-5)\/60). Put -4, a, g in increasing order.\nAnswer: g, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x + 8*x - 25*x - x - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, 365, 836, 1647, 2912, 4745, 7260, 10571?\n\"Answer: 19*y**3 - y**2 + 115*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 5, d: 2, r: 1}. What is prob of picking 1 d and 1 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + c + 6*c + 3*c + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -39*i**2 + 31*i - 318. Let k be u(9). Round k to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(-2\/29))\/w*w)\/w)**(-2\/87)\/(w**(-4\/9))**(-2\/15) assuming w is positive.\nAnswer: w**(-9158\/113535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, 44, -292 in descending order.\nAnswer: 44, 22, -4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d**3 + 35*d**2 - 35*d**2 + (0*d - d - d)*(4*d + 0*d - 2*d - 27)*(-2*d + d - d) + 5*d**3 + d**3 - 4*d**3 + (-2*d + 2*d + d)*(d**2 + 1 - 1).\nAnswer: 20*d**3 - 108*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -10\/7, 1\/3, -4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*11\/((-66)\/(-4)). Solve -f*g - 8 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 162. Let c = -2 - -4. Solve -3*w - 6 = -0*x + u*x, 13 = -c*x - 5*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/1 + -1 + 0. Let o be 14\/35 - 26\/(-10)*1. Put -2, o, v in increasing order.\nAnswer: -2, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1798)\/(-4)*(103 - 101) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:55 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 0, -i = 4*c - 4*i + 567. Let s = -141259\/8 - -17519. Let w = c - s. Is 0 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30286450 + 30286450 - 20*r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1030198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000 + 121?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1275 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 131 (b) 2 (c) -3 (d) 0.2 (e) 2\/7 (f) 0.4 (g) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, -3, -1 in increasing order.\nAnswer: -4, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 13704*v - 15649968.\nAnswer: -3*(v - 2284)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.636 + 17.716. Which is the nearest to 0.15? (a) m (b) 0 (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -190, 2\/9, -4?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1887 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1353)\/246)\/(((-2)\/(-8))\/(2\/(-4)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 6:03 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179314701?\nAnswer: 17, 69371453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 2432*i + 40766.\nAnswer: 2*(i + 17)*(i + 1199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8103800515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 5*t**2 - 6*t - 8. Let k(a) = -3 - 2 + 1 + 3. Let y(z) = -6*k(z) + o(z). Let s be y(-4). Solve -2*u + 0 = -s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3467 + -2.3467. What is the closest to 9 in -2\/3, 11, -0.3, d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, s: 3, h: 1}. What is prob of sequence sqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408 + -402. Suppose 16*a + 13 = d + 13*a, -2*a = o. Solve d*t + 10*t = -28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 5.4 (c) -2313 (d) 3 (e) -1.2 (f) 0.4 (g) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -46. Suppose 3*k = p - 31, 2*k - 7*k - 103 = -4*p. Calculate the highest common divisor of p and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431 - 430. Let p(u) = u + 3*u - 3*u. Let g(a) = 2*a - 2. Determine f*g(v) + p(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(1053)*-1*-4).\nAnswer: -10 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 5*p - 6. Let d be c(6). Suppose -n - 7 = 4*z, 2*z + d*n - 4*n - 10 = 0. Let o = z + 4. Calculate the remainder when 9 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*k + 2*a, a + 29 = 3*k + 3*a. Let v = -247 - -416. Calculate the highest common factor of k and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8089 is divided by 1480?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 3)*(-2)\/(-6). Let b be (-43)\/2 - 19\/(-38). Let z be (2 + -9)*(-3 + (-57)\/b). Solve z*y = -k*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/1*12\/(-14)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/24*i**4 + 0 - 4*i**2 + 0*i + 0*i**3. Let v(b) = -7*b**2. Give v(p(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -66, 4, 2, -1, 1864, -5.\nAnswer: -66, -5, -1, 2, 3, 4, 1864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2355*v - 3 + 1826*v + 4 to b*v + c and give b.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 19 = 12. Suppose 12*y = z*y + 4395. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217552.\nAnswer: 2, 3, 46199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 396 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26566588141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.4, 25, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-11)*60367\/(-34). Let w = 323 - v. Which is the closest to 0.3? (a) w (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**3 - 22*l**2 + 12*l + 1. Let g(b) = 6*b**3 + 12*b**2 - 6*b. Let w(v) = 11*g(v) + 6*n(v). Let d(c) = -c - 1. Give 6*d(j) + w(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 10 + 21 = -5*d, -5*d - 10*x = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 40\/20559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 519055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 5*b = 44. Solve 0 = 3*a + b*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231123011 + -11?\nAnswer: -231123022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - x + 5*x)*(-x + 2*x + x)*(-5*x + 3*x + 4*x) + 3*x**2 - x**2 + 0*x**2 + 3*x**3 to l*x**3 + a + m*x + j*x**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 493 = -5615. Let b = -393 + p. Solve 4*y + u = 6*u - 17, 4*u - b = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:16 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176571669 + -176571081.100808. Let i = y + -613.8992047. Let l = i - -26. What is l rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 300 = -3*q + 1880, -2*q - 3*h = -1435. What is the highest common factor of q and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.330593 decades to centuries.\nAnswer: 0.6330593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3019, -3004, -2987, -2974, -2971, -2984, -3019, -3082?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 201 = 217 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 1, s: 1}. Give prob of sequence xii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3320 divided by 5\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-80)\/(-5))*14)\/1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 578.51 + -573. Let n = b + -5.51000291. Round n to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 10. Let n be h(8). Suppose 364 + 126 = 5*t. What is the highest common divisor of n and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*z + 14 + 4, 0 = -2*b - 4*z - 12. Let x(l) = l**2 + 2*l + 0 - 3 + 5. Let g(o) = 9 + 9*o**2 + 9*o - 4*o**2 + 0. Give b*g(k) - 9*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -711 + 137 = -14*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:49 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -0.2, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let k(j) = -13*j**2 - 8*j**2 - 12*j**2 + 35*j**2. Give k(g(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**3\/3 + 5*i + 19. Factor w(c).\nAnswer: -5*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -578, -1291, -2292, -3581, -5158, -7023?\nAnswer: -9176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 431*d**2 - 190*d + 723. List the prime factors of m(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 459 and 311 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -31. Let u be 66\/c - (-4)\/14. Suppose -5*n + p + 9 = -91, p - u = 0. Calculate the remainder when n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/273 and 54\/7.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -14.98394\nAnswer: 0.2996788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13822160?\nAnswer: 2, 5, 11, 113, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-100)\/(-4) - (-1 + 2 + 0). Solve o - j + 8 = 5*l, -2*l + o = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 560 + -229. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1180166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkvkkvkkk. Give prob of sequence vvk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -18, 32, 134, 306, 566, 932?\n\"Answer: 3*w**3 - w**2 - 2*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*d + 4, 0 = 4*d - 9*d - 10. Let q = -10 + 15. Suppose 17 = -q*x + 2. Sort x, 9, t in decreasing order.\nAnswer: 9, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 1, e: 4, j: 9}. What is prob of sequence fjoe?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 * 0.019\nAnswer: 0.00551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92 and 49.\nAnswer: 4508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 4*z + 2. Does 26 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59133, 59136, 59139, 59142, 59145?\nAnswer: 59148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 8*v**2 + 33*v + 2. Let p be i(-3). Suppose n - 6*t - 126 = -t, p*n = 5*t + 267. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53828450461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -15. Suppose -2*t + 0*t + 4*t = j. Suppose 10*u - 8 - 2 = t. Solve 2*w + u + 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 38*f + 1. Let l be j(4). Let n(z) = 153*z - 25*z**2 - l*z. Let p(m) = m. Calculate p(n(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*(214\/856)\/(2\/(-8))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1905*m - 904*m - 31031 = 0 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1393626*a**3 - 2*a**2 + 5*a + 615217?\nAnswer: 8361756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - 12*p**3 - 4*p**2 + 0*p**4 - 6*p**4 - 20*p**3 + 5*p**4 in the form b*p**2 + x + z*p**3 + m*p + h*p**4 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 + 0*k**2 + 2*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46*1*(-39)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4335 divided by -3\nAnswer: -1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/5))**(2\/13)\/(j*j**(1\/2)*j)**(-2\/15) assuming j is positive.\nAnswer: j**(89\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/43409 and -92\/18405?\nAnswer: 798942645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*-1)\/(59 - 55). What is the closest to -13 in 1, -7, b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 415350*h*p**3 + 2094685*h*p wrt p.\nAnswer: 2492100*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(84)*-1)\/(sqrt(21)\/sqrt(3)*-5 + sqrt(7)))\/((sqrt(4) + sqrt(200)\/sqrt(2) + (sqrt(196)*-2 - sqrt(196)))*2).\nAnswer: -sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 130*c**2 + 234*c**2 - 6*c + 3 + c.\nAnswer: 364*c**2 - 10*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b - 8140*b**2 - 10118*b**2 + 23*b.\nAnswer: -18258*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 766 + -165?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 4*b**2 - 14*b - 2297. Determine v(0).\nAnswer: -2297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -4*c**5\/5 + 41*c**4 - 1900*c**3\/3 + 2166*c**2 + 211. Factor n(g).\nAnswer: -4*g*(g - 19)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66489 is divided by 33244.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1213952758 to the nearest 10000.\nAnswer: 1213950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 600, 901, 1218, 1557, 1924?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z - 18. What is the smallest common multiple of u(5) and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4449 - 0.1449. What is the third biggest value in -5, -0.18, 18, h?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/(-18)*30\/(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*y - 24. Let p = y + -1. Suppose -3*c + u + 207 = 57, u = 5*c - 248. What is the greatest common divisor of p and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, s: 3, l: 4, b: 1}. Give prob of picking 1 b, 1 l, and 2 u.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from liclvvlil.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j**2\/2 - 1503*j\/2 - 1155 = 0. What is j?\nAnswer: -70, -11\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:38 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11191430 = 68*d + 1515234. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**5 + 33*g**4 + 12*g**3 - 66*g**2 - 6*g + 33 = 0. What is g?\nAnswer: -1, 1, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416027 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6714 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/13)*o)\/(o\/(o\/o**(-5))))**(1\/6)*(o**(7\/5)\/(((o\/(o**0\/o))\/o)\/o))**(-2\/49) assuming o is positive.\nAnswer: o**(1252\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) 2\/13 (b) -0.024 (c) -3 (d) -25.3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81276996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5628)\/126 - -47)\/(1\/((-3)\/(-1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*d + 0 + 51*d - 2 + 32*d as u*d + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2 - 11 + 3 + 58*t. Let x be w(2). Let k(l) = l**3 + 9*l**2 + 11. Let h be k(-9). What is the highest common divisor of x and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 1. Let y = -1 - p. Suppose y*k + 8 = 5*k. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185022 and 315457?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 0.16, 5466, -5, 7\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138714 and 76916913.\nAnswer: 153833826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 12*w = 50, 231 - 249 = 3*k + 3*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1118)\/430*(-100)\/(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a + 137. Give j(20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57682, -57674, -57666, -57658?\nAnswer: -57650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 849.3722 decades to centuries.\nAnswer: 84.93722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1048, 3866, 8474, 14872, 23060?\nAnswer: 33038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 9*l**2 + 12*l**2 - 18*l + l**2.\nAnswer: 14*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 1110001010?\nAnswer: -1110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 2*b**2 + 4*b**3 - 15116 + 30229 - 15112 - 10*b**4 to l*b**3 + g*b**2 + i*b + n*b**4 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 1398840*t + 163062778800.\nAnswer: 3*(t - 233140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:31 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-3)*2\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*y**2 + 4*y**2 + y**2 - 85*y**4 + 400 + 0*y**2 + 391 wrt y.\nAnswer: -340*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24191133, 48382268, 72573405, 96764544?\n\"Answer: l**2 + 24191132*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 17*m = -12*m - 27, -2*j - 3*m = -15. Solve -3*g - 3 = -j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 187 - 33. Let n = 16 + -2. What is the highest common divisor of n and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5856746\/9 less than -650750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517 divided by 6?\nAnswer: 839\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053873*-1.\nAnswer: -0.053873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Find the third derivative of -i*o**2 + 5*o**3 - 750 + 750 wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 56*g + 7. Let w be x(9). Let y = w - 286. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 12. Let x be m\/(-3) - -3*7. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4793*l**3*w - 2*l*w + 121*l + 22*w wrt l.\nAnswer: -28758*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 1. Let b be u(6). Let y be b\/(45\/(-12))*3. Let j(o) = o**2 + 4*o. Let m be j(y). Solve m = -6*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -3*u, u + 2451*w - 30 = 2448*w. Let g = 9 + -5. Sort -5, u, g in increasing order.\nAnswer: -5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 23*u**2 + 25*u - 29. Give c(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*g. Suppose 4*f + g*f = 0. Suppose f = -2*i - 2*i + 64. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -14*96\/(-112).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167323 is divided by 83617?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(555\/(-72)))\/((-9)\/(-30)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - (1*-1*sqrt(99) + sqrt(99)) - sqrt(99)))\/(sqrt(729)*2) - (-6*(sqrt(99)*-2 - sqrt(99)))\/(sqrt(27)\/sqrt(3)*-1))**2.\nAnswer: 1161875\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47618698 or -47618696?\nAnswer: -47618698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 5, -2\/7, 9.2, 16\/7, 1\/2 in increasing order.\nAnswer: -3\/8, -2\/7, 1\/2, 16\/7, 5, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b972a - c7?\nAnswer: b9633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2 + 2)*(-f**3 + 2*f**3 + 2*f**3).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p - 6. Let g(h) = -95*h**2 + 48*h**2 + 48*h**p. Let l(x) = -2*x. Determine g(l(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 2399413.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281732 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 41.\nAnswer: -6, -4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooqqwuqqooqooooqoo. What is prob of picking 2 o?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = q + 4*n - 3, q - 11 = 3*n. Let i(r) be the third derivative of r**4\/24 + 3*r**2. Let f be i(-2). Put 0.4, q, -0.4, f in ascending order.\nAnswer: f, q, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 531 + 171. What is the smallest common multiple of 39 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-14 - (-8 + 12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1022017 rounded to 4 decimal places?\nAnswer: 0.1022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 703 and 8018?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2*n**2 - j**2*n + 25*j**2 + n**2 - 650 wrt j?\nAnswer: 2*j*n**2 - 2*j*n + 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -94 times 4\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 118?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*n - 102, -4*s + 2*n + 51 = -95. Let i = 2648 + -2610. What is the greatest common divisor of s and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1566730 and 924?\nAnswer: 65802660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 12. Let r be w(7). Suppose n = 5*d - 2*n - 15, -r = -4*d + 3*n. Find the second derivative of -2 + d - 4*t**5 - 12*t - 4 wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*m - 1)*(-2*m + 4 - 4) + 4*m**2 - 3*m**2 + 0*m**2 + m**2 + m**2 - 3*m**2 + (2 - 2*m - 2)*(m + 8*m - 3*m) as a*m**2 + z*m + t and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 240 and -16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) -3230 (c) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 298591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 38 = -h. Let q(i) = -i**3 + 14*i**2 + 20*i - 49. Calculate the remainder when h is divided by q(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z**2 + 8*z. Let s(b) = -44016*b. Calculate j(s(w)).\nAnswer: 17436674304*w**2 - 352128*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*1*sqrt(288).\nAnswer: -36*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 719, 725, 735, 749, 767, 789?\n\"Answer: 2*q**2 + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 4*o**3 + 11*o**3 + 4*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52410430, -52410432, -52410434, -52410436?\n\"Answer: -2*l - 52410428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 2 h when four letters picked without replacement from jhhwnnrrnrnw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 413546*i - 1529596?\nAnswer: 413546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/8)\/((-5)\/(-40)). Let f(j) = -4 - 4*j - j**2 - p*j**2 - j**3 + 1. Let z be (4 - (-2)\/(-2))\/(-1). Calculate f(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:18 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c + 2*c)*(-6*c + 6*c + 4*c).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 368309838 = -368310218 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -28 + (-7 - -23).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 + 68*l + 34. Let n be s(14). Let q(a) = -2*a - 1. Let j be q(-3). What is the highest common factor of n and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (sqrt(425)*-1 + sqrt(425) + sqrt(425)))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 990982 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/120 + 14\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -11\/5, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -24*r + 165. Let p be o(7). Which is the nearest to -1? (a) -7\/13 (b) -0.3 (c) p (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6527 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*j + 12. Suppose -r - v - 4 = 4*v, -3*v = r - j. Calculate the remainder when 14 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (7 - (1 - 0 - 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -444 + 110. Let w = 511 + s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, -3, 2, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -178481788, -178481790, -178481792, -178481794, -178481796, -178481798?\n\"Answer: -2*t - 178481786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7732177 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(30)\/sqrt(5)*3))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:02 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26018 is divided by 400.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -75 in 0, 164, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 9*x - 11. What is p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4078039, 4078063, 4078111, 4078183, 4078279?\n\"Answer: 12*p**2 - 12*p + 4078039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1898, -3810, -5724, -7640, -9558, -11478, -13400?\n\"Answer: -u**2 - 1909*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*v**2 + 180*v**2 + 180*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 229636 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67, -278, -631, -1126, -1763?\n\"Answer: -71*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31374509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 839975084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-100)\/(-15))*8\/(-48)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 61866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3718403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3 + 2 + 3*q**2 + 2*q - 6 - 1. Let x(p) = 4*p**2 + 2*p - 9. Suppose -4*i - 20 = 5*o, 4*i + 13 = 5*o - 7. Calculate i*x(m) + 6*z(m).\nAnswer: -2*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 59. Let l(y) = -y. Let v(f) = -5*f + 15. Let d(n) = -4*l(n) + v(n). Let j be d(13). Sort j, m, 1 in decreasing order.\nAnswer: m, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154256936573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 5*l - 5*l)*(0*l + 4*l + 4*l)*(-27 + 6 - 1 - 13) to the form k*l + o + u*l**2 and give u.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505778142 by 6.\nAnswer: -84296357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 718053 and 651?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 + 6*g. Let z(q) = 0*q + 4*q**2 + 0*q. Give z(y(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-6) - -13) + 48779.\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73083801?\nAnswer: 3, 7, 67, 127, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 16\/7, 0.2, -29140, -1 in descending order.\nAnswer: 16\/7, 0.2, -0.2, -1, -29140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1570 - -2048?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:03 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 6*y + 3. Let v be w(7). Sort 1, -1, v in descending order.\nAnswer: v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2635548173 rounded to three dps?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or 2.23?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7763034.999 - 7766915. Let c = n - -3874. Let z = c - -6. What is z rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*j + 16, -3*j - 4 = 5*y - 2. Let i be y*2\/(-8)*-1*-8. Let f(u) = -4*u**3 - 3*u**2 - 11*u - 11. What is the tens digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 758, 1093, 1394, 1661, 1894?\nAnswer: 2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*a - 109*a - 76704 = -208*a - 410*a for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15760 and 531900.\nAnswer: 2127600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 18*z - 37. Give k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -31*u**2 + 3*u - 23. Let m(q) = -30*q**2 + 3*q - 26. Let w(y) = -7*b(y) + 6*m(y). What is the tens digit of w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*k - 19*k + k**3 - 27*k + 15*k**3 - 22*k.\nAnswer: 16*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/273366 and 56\/11344689.\nAnswer: 22689378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1162, 2336, 3510, 4684, 5858?\nAnswer: 7032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.43 + 421.57. Let v = 431 - o. Is 1\/21 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**3 + 8226*d - 41149.\nAnswer: 3*d**2 + 8226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (7 - -1)) + -30 + 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208) - (sqrt(208) + sqrt(208)*4)**2) + (sqrt(91)\/(sqrt(49)\/sqrt(7))*4)**2.\nAnswer: -4990 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-372)\/(-18)*1*(-140343)\/(-82)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33493?\nAnswer: 33493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13436 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -199*-8048\nAnswer: 1601552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 29*s**2 + 17*s - 1. Is 33 a factor of d(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84091 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4383 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5452157 is divided by 513.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)*t*t**(-2\/5) assuming t is positive.\nAnswer: t**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 54. Let r be g(20). Suppose 4*k = 5*i - 19 + r, -4*k - 4 = -4*i. Solve k = -b - 2*v + 7, -4*v + 5*v - 8 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 2, e: 1, z: 3, t: 1, k: 8}. Give prob of sequence tezh.\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9597*y - 19191*y + 9618*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -15*f + 4. Put 5, -3, f in ascending order.\nAnswer: -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4274, 8732, 13190?\nAnswer: 17648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t**4 + 441 - 440 - 17*t**4 - 5*t**3 - 2*t in the form f*t**4 + u*t**2 + h*t**3 + i + n*t and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 5*n**2 + 10*n**2 - 4*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -536\/7 at most as big as -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-20))\/p*p\/(p\/(p*p\/(p\/(p**(4\/5)\/p))*p*p)*p*p))\/(p\/(p*p**(-13))*(p**(-2\/3)\/p)\/p))**(-2\/5) assuming p is positive.\nAnswer: p**(-314\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 108\/((-36)\/3) - (-2508)\/(-828)*-3\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*((sqrt(405)*2 + sqrt(405))*3*-6 - (((sqrt(405)*-2 + sqrt(405))*-3 - sqrt(405) - sqrt(405)) + 5 + (sqrt(405) + 0 - sqrt(405)))))**2.\nAnswer: 19800*sqrt(5) + 4900595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1980\/594)\/(2\/(-12)*2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -103313, -206657, -309987, -413297, -516581?\n\"Answer: x**3 + x**2 - 103354*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s - 16. Let q be r(-24). Solve -484*k = -q*k + 24 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5957 - 6259.3. Let t = -316.761 + 0.761. Let x = g - t. What is x rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h)*(h - 6*h + 4*h) - 26*h**2 + 7*h**2 + 7*h**2 + 1 - 1 + 2*h**2 + (2 - 2 + 3)*(-h**2 - h**2 + 4*h**2).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 2060*x**4 = 0 for x.\nAnswer: 0, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 8*x**2 + 13*x - 59. List the prime factors of g(13).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.301 + -1.169. Let p = -0.07 - d. Let w = -1.4009 + p. What is w rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-5))\/(34\/(-10)*(-37)\/(-3774)*-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8826885 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:36 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/2 + 21*o**4\/4 - 2*o**3 - 21*o**2\/4 + 5*o\/2 = 0.\nAnswer: -1, 0, 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-14))\/(l**(-2\/21)*l))\/(l*l*l\/l**(2\/3))**(12\/5))**44 assuming l is positive.\nAnswer: l**(-90112\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z - 59*z + 764*z**3 - 677*z**3.\nAnswer: 87*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 73*o - 57. Calculate the least common multiple of d(1) and 202.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 9. Suppose -u*n + 3*n + 20 = 0. What is the lowest common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 102 in decreasing order.\nAnswer: 102, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112557, 451550, 1016539, 1807524, 2824505, 4067482?\nAnswer: 5536455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) 134266 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 9*g**2 - 302*g - 3079. Let h be b(-11). Let a = 0.2 + -2.2. What is the closest to h in 0.5, -4\/7, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -465680*d**4 + d**3 + 2295*d**2 - 2*d + 181 wrt d?\nAnswer: -11176320*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = k - 12, -2*i - 4*k = -26. Suppose 4*t + i = 31. Solve -4*r + 24 = 4*u, 5*r = t*u + 9 + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n)*(-30 - 116 - 245) + 3*n + 3 - 3.\nAnswer: 394*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 1:23 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -77*j - 66. Let r(k) = -15*k - 13. Let d(y) = 2*l(y) - 11*r(y). Let c(f) = -5*f - 5. Determine 13*c(u) + 6*d(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 17. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*o = 168, -d = -4*o + 3*o + 56. Is -56 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqkboqaj. Give prob of picking 1 a, 1 k, 1 j, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y - 533 = -648 + 381 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -11. Suppose -x*d + 11*d = 354. What is the remainder when d is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-23*(-360)\/32200). Factor -2450\/3 - 2\/3*y**2 + s*y.\nAnswer: -2*(y - 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 57 + 26)*(-27 + 26 - 31)*(-q**2 + 1 - 1).\nAnswer: -2016*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*q - z + 12, -3*z = q + 6. Let s(d) = 3*d + 19. Let p be s(q). Calculate the common denominator of 6 + 42\/(-6) - p\/10 and -59\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-14)*72\/(-45). Put 0.4, 1\/3, 5, w in decreasing order.\nAnswer: 5, w, 0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/72 and -71\/228.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -5, 1 in descending order.\nAnswer: 8, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*i + 18, 0 = q - i - 16 - 3. Suppose -17*w = -q*w - 6. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.95 - -0.05. Let y = 1.42 - 172.42. Let u = y + 170.7. What is the nearest to 2\/7 in u, -3\/4, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:43 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:38 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 226117476 a multiple of 873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/55*-24*17\/((-612)\/(-24))*-5.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + 1*sqrt(68)*-6)\/(-4*-3*sqrt(4)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3. Let d = 97 - 103. Let o(l) = 20*l**3 + 65. Let p(t) = d*m(t) - o(t). Differentiate p(j) with respect to j.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q + 1. Let i = -177 + 178. Let x(h) = 2*h**2 - 4*h + 6. Determine i*x(m) - 6*t(m).\nAnswer: 8*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 - 8*w**3 - 8*w**3 - 2*w**3.\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 5\/569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*(-2 - u + 2) + (556 - 121*u - 556)*(2 - 2 - u)*(1 + 4 - 3).\nAnswer: 241*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 12. Let c be f - ((-4 - -3) + 33). Is c smaller than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 92218, 369058, 830458, 1476418, 2306938?\n\"Answer: 92280*h**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*c + 13 = f, 0 = -f + 4*c + 9. Calculate the least common multiple of f and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstwttsttssyywyb. Give prob of picking 1 s and 1 y.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 1251*w - 139400 = -433*w for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0 (c) 0.1 (d) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195 - 165. Calculate the lowest common multiple of 27 and u.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y**(-3)\/y))\/y**33*(y**(-1\/35))**(-20\/11) assuming y is positive.\nAnswer: y**(-2460\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-24 - 841 + 216) + (-5 + 2 + 5)*(-3 - 1 + 6))*(7 - 7 + 5*u).\nAnswer: -3225*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-13)\/(-13)))\/((-20)\/(-6))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let o be h(-1). Let z be (1 + 0)\/(o - 0). Is z less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4583 - 3)*(-9)\/4*-2. Let r = z + 11852. Is (-3)\/(-4) + r\/(-20) + 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from unnuj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 66*x**3 - 60*x**2 - 13*x - 13. Let v(d) = -33*d**3 + 30*d**2 + 6*d + 6. Let c(j) = -6*b(j) - 13*v(j). Find the third derivative of c(z) wrt z.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217198000 to the nearest 100000.\nAnswer: 217200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 14*x + 12. Let r be z(-14). Let s be -436*r\/(-8) + -3. Suppose -5*u + 151 = t, -s = -3*t - 2*t + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 2 v when four letters picked without replacement from {m: 4, v: 3, r: 2, d: 9}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(6*(-245)\/(-630))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241 + -246. Let k = 2 - 1. Let c(w) = w + 6. Let f(z) = -1. Let i(q) = -2. Let j(n) = -5*f(n) + 2*i(n). Calculate b*j(d) + k*c(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 101022?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47.71223 centuries?\nAnswer: 4771.223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.97 times -1?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 0 in decreasing order.\nAnswer: 12, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2. Let x(p) = -3*p - 8. Let i = -9 + 17. Let l(n) = 2*n + 5. Let b be -1 - ((-1 - 2) + -3). Let c(r) = b*x(r) + i*l(r). Give c(v(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/5, -4, 0.85, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -14*g. Let d(f) = -4253976*f**2. What is d(c(a))?\nAnswer: -833779296*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 - 1593\/11. What is the third smallest value in 4, c, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1511 is divided by 310.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = 45. Suppose 5*r - 191 + 22 = -2*x, 0 = 4*x - 8. Suppose 0 = 2*a - r - 3. Calculate the highest common divisor of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1398, -5971, -13712, -24621, -38698, -55943?\n\"Answer: -1584*a**2 + 179*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 0.4, -332 in ascending order.\nAnswer: -332, 0, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 217 - 212 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 13. Which is the nearest to 0? (a) 1\/3 (b) z (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 1095918*n**2 - 100058951652*n + 5005687752600.\nAnswer: -3*(n - 50)*(n + 182678)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.042 - 31.958. What is the biggest value in -5, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26\/3*u**2 + 2\/3*u**3 + 80\/3 + 52\/3*u = 0.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*h**3 - 64*h**3 - 25*h**3 - 14*h**3.\nAnswer: -183*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13915 + -13883. What is the nearest to -1\/2 in -2\/5, -0.1, l, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 8. Let m be (5 - 3) + -5 + 6. Let q be 1*m\/(-1)*1. Sort 2, t, q in decreasing order.\nAnswer: t, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1084060386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-14\/5))**(-3\/26) assuming t is positive.\nAnswer: t**(6\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:33 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2887.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - q**2. Suppose 4 = 5*o - 1. Let z be j(o). Solve c + 6 = z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/336 and -35\/11136.\nAnswer: 77952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 32 (b) -4 (c) 5350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -787 or -3151\/4?\nAnswer: -787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)*f\/(f*f*(f**(-2\/7)\/f)\/f*f*f)*f**(-2)\/f*f**(-2\/3)*(f**(1\/4))**(-1\/8)*(f**1)**(13\/2) assuming f is positive.\nAnswer: f**(9703\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*p - 3*i - 12, i + 4 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1846171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128720454 to the nearest integer?\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*u**2 - 1 + 50*u**3 + 56*u**3 + 94*u**2 + 57*u**2 as f + k*u**2 + h*u + m*u**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63\/94 - -10663\/11562. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 173\/9 or -3?\nAnswer: 173\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20055 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = -0*d - 4*k, 0 = -3*d - 3*k + 39. Let f(n) = n**3 - 12*n**2 + 2*n - 12. Let x be f(d). Calculate the highest common divisor of 48 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 134, 154, 194, 260, 358, 494?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188391618 a multiple of 1257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 911343163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 3\/9*21. Let h be (s\/3)\/(3 + (-186)\/54). Let u(z) = 6*z - 7. Let m(j) = -6*j + 7. Let q(v) = h*m(v) + 2*u(v). Give q(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*(4 + 2). Let b be (-184)\/44 - (-4)\/22. Put v, -2\/7, b in increasing order.\nAnswer: b, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t + t - 3*s - 9, 2*t - 9 = 3*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((136\/(-80))\/17)\/(2\/25).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -i + 100, -2*l + l = -i + 110. Let q = i + -105. Solve q*a + 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-15)*0*-1. Suppose 5*d + 6 = 3*w - 5*w, x = 2*d - w - 3. Suppose -g + 361 - 1361 = d. What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 7826.75\nAnswer: -39133.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 51. Let o(u) = -34*u**2 - 4*u - 4. Let c(z) = -47*z**2 - 3*z - 3. Let a(j) = 4*c(j) - 3*o(j). Determine i(a(d)).\nAnswer: -172*d**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 306\/35 + 69712\/105. Let v = 674 - m. Factor 4\/3*t**5 - 8\/3*t**2 + 4\/3*t + 4\/3 + v*t**4 - 8\/3*t**3.\nAnswer: 4*(t - 1)**2*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1675 and 3982078?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 4. Let o(t) = -t. Let y(s) = -n(s) - 3*o(s). Let z be (-6)\/21 - (-86)\/7. Let a = -8 + z. Calculate y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480111 - -39?\nAnswer: -3480072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1748*s - 1047*s - 1007*s - 1926*s to the form u + f*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 + 8*c + 7. Let p be q(-3). Sort -4, p, 4, -3 in descending order.\nAnswer: 4, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1190 - 1724 - n**2 + 0*n**2)*(-n + 5*n - 2*n).\nAnswer: -2*n**3 - 1068*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 42. Let i be w(9). Calculate the highest common factor of i and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 24 = 0. Suppose -5*u = l - j*l, -u = l - 4. Solve 2*t + u = -2*n - 2*n, n = -3*t - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, l: 2, a: 1, q: 2, e: 2, p: 1}. What is prob of sequence qiei?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 - 2*q**2 - 4*q**2 + 10*q**2 to the form a + i*q + s*q**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1418 + -1418. Factor 0*w - 1\/2*w**3 + 3\/2*w**2 + y.\nAnswer: -w**2*(w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 4*g**3\/3 + 14*g**2 + 48*g - 37. Solve t(r) = 0 for r.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -386705 or -386710?\nAnswer: -386705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**5\/20 + j**4\/2 + 2*j**3\/3 - 12*j**2 + 2*j - 4. Suppose z(g) = 0. Calculate g.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17848 times 0.02788\nAnswer: -497.60224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 18*a - 2. Let l be d(0). Let i(h) = -2*h**2 - h. Let s(f) = -2*f**2. Suppose -40 = -5*n - 0*n + 5*y, 5*y = 3*n - 34. Give l*i(u) + n*s(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.3 - -64. Which is the closest to 23\/4? (a) 4 (b) h (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87, 284, 483, 684, 887?\n\"Answer: g**2 + 194*g - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 6*u. Let i(d) be the second derivative of 0 + 2*d + 7\/6*d**3 + 2\/3*d**4 + 0*d**2. Calculate 5*i(r) - 6*q(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 14185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 1, h: 3, g: 1, w: 3, n: 3}. What is prob of picking 1 w, 1 l, and 1 h?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011010001011110000 (base 2) in base 4?\nAnswer: -10122023300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-24)\/(16224\/(-260))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3936 = -2*l - 13936. Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96280 divided by -830.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -2, 32, 102, 220, 398, 648?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 86 = -y + 92, 12 = -2*t + 2*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1353?\nAnswer: 4\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - y**5 + 2)*(1 + 4 - 6) + 2*y**2 - 2*y**2 + 2*y**5 - y**5 - 2*y**5 - 2*y**5.\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 110*v**2 + 2*v. Let t(m) = -3372*m - 2. Give t(g(u)).\nAnswer: -370920*u**2 - 6744*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -100?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21782550 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from enggcennnnenc.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/15 + 356*c**4\/3 + 53696*c**3\/5 - 80479872*c**2\/5 - 23590144512*c\/5 - 297082266624 = 0. Calculate c.\nAnswer: -396, -92, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004643259978 rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 50. Calculate l(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-1 + 4)*(-3 - 182694\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2707.\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*t + 20, -3*t + 4*t = 3*y - 5. Let b be ((-2)\/4)\/(2\/(-12)). Solve 2*h = -4*c - 10, h - b*c + 5 - 10 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 + 154\/99)*(-240)\/(-500)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -45. Let o be 14 + 0 + (3 - (-21)\/(-3)). Let b = d - o. Solve 0 = -v - b + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 13*g - 39. Calculate the remainder when q(15) is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5929 + 7595. Calculate the least common multiple of 196 and u.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 2*j**2 - 2*j + 4. Let a(i) = i**3 + 6*i**2 + 3*i + 15. Let m be a(-6). Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + -1*sqrt(500))\/sqrt(4) + 4)*-5 - (-5 + (-3*(sqrt(500) - -1*sqrt(500)) - (sqrt(500) - ((sqrt(500) + -1 - sqrt(500))*3 + sqrt(500))))))**2.\nAnswer: -1920*sqrt(5) + 32144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -5, -2, 112, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18963 and 1008.\nAnswer: 303408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2, -k + 61*t - 4 = 57*t. Solve -k*a = 12, h - 8 = 5*h - 4*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1, 2, 12, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 29*a - 2291. Let c be t(79). Solve 2*r + 4*u + 6 = c, -8 = -7*u + 11*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -21, -3, -52, 13, 0, -298 in descending order.\nAnswer: 13, 1, 0, -3, -21, -52, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 959534*v - 36 - 959522*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 13*y - 14. What is d(-15)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -93. What is the smallest common multiple of f and (-3 - -8) + 1 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1482\/7 + 212. Let k be 94\/6 - 8\/12. Let p be (2\/5)\/((-3)\/k). What is the closest to 2 in p, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -1\/25*t**6 + 0*t**3 + 1\/105*t**7 + 0 - 25*t + 0*t**2 + 0*t**4 + 0*t**5. Factor g(n).\nAnswer: 2*n**4*(n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 5*s + 5. Let w(j) = -3 + 2 + 6*j - 9*j**2 + 13*j**2 - 5. Let f(c) = 5*w(c) + 6*z(c). Let h(y) = 0*y + 0*y + 13*y**2. Determine f(h(q)).\nAnswer: 338*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/12 - 5*i**3\/6 + 3*i**2\/2 + 4*i. Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x. Let v(n) = n**2 - 2*n. Suppose i - 4 = 3*i. Let j be -2 - (-16 + -1 + i + 4). Suppose -j*g + 24 = -15. Give g*q(z) - 4*v(z).\nAnswer: -4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:57 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298536963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 29 + 10*x)*(4 - 2 - 3) - 2*x - 5*x + 2*x to d*x + h and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -41*u**4\/18 + 124*u**3\/9 - u**2 - 793*u. Factor p(z).\nAnswer: -2*(z - 3)*(41*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {f: 4, r: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -4 + sqrt(48)\/sqrt(4).\nAnswer: -4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:07 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*g + 5, 5*p + 5*g = 12 + 3. Find the second derivative of 4*t**5 + 5*t - 2*t - t + p*t wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -8, 0.09?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3896)\/(-36) + (-2)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -858 - -863. Which is the nearest to -0.1? (a) l (b) -1\/17 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 616?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.004 (b) 1\/4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84009380 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111.61 + -26.\nAnswer: 85.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + f + 36577 = 0, 3*f - 4165 = p - 11472. What are the prime factors of p?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8509, 23, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1367.359894 and 2?\nAnswer: -2734.719788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/44 and 1\/6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (1 - -24 - 16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104\/5*t - 94\/5*t**3 + 14\/5*t**4 + 196\/5*t**2 - 48\/5 = 0. What is t?\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71.15424 - 0.67.\nAnswer: -71.82424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 7, u: 1, l: 2, m: 1}. Give prob of sequence cc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7\/5)\/c**(8\/5)*(c*c**(-2\/3))**(-33\/4) assuming c is positive.\nAnswer: c**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2198726*r + 1270. Let i be a(-5). What is i rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3114\/7? (a) -0.5 (b) 3\/361 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34507269 is divided by 275?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000072556 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.0645 (c) -8 (d) 7 (e) -0.14 (f) 0 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezboveooezbl. What is prob of sequence zev?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20\/3 + 26\/9*d + 62\/9*d**2 - 2\/9*d**4 - 26\/9*d**3 = 0 for d.\nAnswer: -15, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:10 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 1\/3, 2, 2\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-28) + (-4 - 1242\/63) + -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:07 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83008903?\nAnswer: 1031, 80513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 + 5146504512.\nAnswer: 5146504514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9312 and 1932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i*p**2*q**4 - i*p**2 - 76*i*q**2 - 61*i*q - 2*i + 2*p**2*q wrt q.\nAnswer: -60*i*p**2*q**2 - 152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -113, -96, -59, 4, 99, 232?\n\"Answer: l**3 + l**2 - 7*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 553867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11\/7)*((d**3*d)\/d)\/d assuming d is positive.\nAnswer: d**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20685274 is divided by 67?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0822 from 1.\nAnswer: 0.9178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-13)\/((-832)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let j = 10 + -10.2. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 92 = -8. Suppose -p + 5*k + b = 0, -3*p - 3*k + 55 = 2*k. Calculate the greatest common divisor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-5*w**3 - 7*w + 7*w + (-2*w - 3*w + 3*w)*(0*w**2 - 2*w**2 + 0*w**2)).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 612, 945, -10 in descending order.\nAnswer: 945, 612, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 129 = -v + 8*d, 27 = v + 5*d - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b**(-22))\/(b**(2\/7)*b**0) assuming b is positive.\nAnswer: b**(-1702\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056 to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*t - 2913 - 607 = 25*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763399639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 15 = 0. Let l(j) = -3 - 10*j - h + 14*j. List the prime factors of l(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*z + 98*z = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18066.\nAnswer: 2, 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 78.62109 * -1\nAnswer: -78.62109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1256\/49 in 12, -0.7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 6:18 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14434 divided by -2062\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -289*o + 3204. Let p be i(11). Solve 0 = p*v - 188 + 63 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 598*d**2 + 322*d - 560*d + 1096*d wrt d?\nAnswer: 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+0.177084\nAnswer: -0.922916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:16 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3 - 193757*g**2 + 9384765576*g + 65702853468 = 0. Calculate g.\nAnswer: -7, 96882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*f + 51*f + 43*f**2 - 1 + 3)*(3*f + 1 - 1).\nAnswer: 129*f**3 + 6*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 61. Suppose 3*y + g - 51 = 0, y + a*y = 2*g + 96. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20222323817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -168, 2209, 1 in decreasing order.\nAnswer: 2209, 1, -6, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8342106.84 rounded to the nearest one hundred thousand?\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8*h - 4424 = 0. List the prime factors of h.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 32.3. Let y = 22.3 - x. Let q = -21.7 + y. What is the smallest value in q, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15345.05608 rounded to the nearest 10?\nAnswer: -15350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 2. Let c be 4\/(-6) + x\/3. Is 9 a factor of c\/(3\/(-51)) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*q + 1939, 3*q - 2334 - 607 = -2*t. Let h = q - 29. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 61, 102?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 31, 19, -11, -59?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 9305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(567) - (sqrt(567) + sqrt(567)*2 - sqrt(567))) + 3 - 4*1*sqrt(567))**2 + (-2*sqrt(567) + -2 - (-3*sqrt(567))**2*-3).\nAnswer: -55613 + 1332*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787036281.\nAnswer: 3, 2081, 126067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -28*v - 637. List the prime factors of j(-88).\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 57 = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3105, -2\/17, 1, 1\/4, -1\/4, -141?\nAnswer: 3105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 145 - 65 = -285. Which is smaller: 62 or b?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 0.5 (c) 65 (d) 1\/5 (e) -3\/4 (f) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51295, 50431, 49569, 48709, 47851?\n\"Answer: l**2 - 867*l + 52161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17639288 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02903 times -170.5?\nAnswer: 4.949615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + 6*i - 4. Suppose 8*t - 6*t = 50. Suppose -30 = t*m - 28*m. What is the remainder when w(3) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566227 is divided by 137.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4607*d - 52051 + 2869 = -4628*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 2*w**2 + 2*w**2)*((-3 + 1 + 4)*(w - w - 2*w**2) + 13*w**2 - 8 + 8 + (-3 + 1 + 0)*(-6*w**2 - 3*w + 3*w)).\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40450.1ng in milligrams?\nAnswer: 0.0404501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(144\/(-393)) - (-310)\/372\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3969 divided by -3.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7661 - 53635\/7. Let x = -4128 + 74263\/18. Calculate the common denominator of b and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 24. Calculate the smallest common multiple of a and (-12)\/9 + (-248)\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 147*r + 2. Is w(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0949 times -5.5?\nAnswer: -0.52195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -2*k, -3*i - 3*k = -30. Calculate the remainder when i\/2 - -2*166\/4 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786 = 2*a - 774 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/4 + -9\/4. Let g be 329\/(-282)*(-30)\/21. Which is the fourth smallest value? (a) 2\/7 (b) g (c) k (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2409, 4816, 7223, 9630, 12037, 14444?\nAnswer: 16851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*o - 68, 5*w - 4*o - 96 = -5*o. Solve 18 = f + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817738 is divided by 2310?\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 + -179. Let j = 0.2 + 0. Let q = j + -1.2. What is the third biggest value in q, g, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*t**3 + 22*t**2 + 316*t**3 - 22*t**2.\nAnswer: 77*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37608 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) + (-25)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*y + 51. Let g be (y\/(-9))\/((-8)\/60). Solve g = -p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1304*n**2 + 2609*n**2 - 1305*n**2 - 37*n**3 + 2*n to the form p*n + m + l*n**2 + v*n**3 and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**7\/1260 - 7*y**6\/120 + y**5\/3 - 55*y**4\/4 - y - 79. Let h(t) be the third derivative of z(t). Factor h(k).\nAnswer: 2*(k - 20)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-44)\/f**3)\/((f**(-26)\/f)\/((f\/(((f**(-28)\/f*f)\/f)\/f))\/f)) assuming f is positive.\nAnswer: f**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*p = 2*i - 18, 5*p = 4*i + 12. Let s(x) = -2*x. Let f(a) = -9*a - 8. Let u(o) = -f(o) + 2*s(o). What is the least common multiple of u(i) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 253\/2536 + 8\/317. Which is the nearest to -5? (a) 2\/5 (b) w (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7320 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 227063.2 millimeters in kilometers?\nAnswer: 0.2270632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a microgram in nanograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -76 - (-176 - -51) - 27\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -1, 37, 99, 191, 319?\n\"Answer: t**3 + 3*t**2 + 4*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -49*g**3 + 68*g**2 + 48*g - 111. Give h(2).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n. Let d be s(13). Calculate the greatest common divisor of 624 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (54 - 157) - 103.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (1265\/4 - (-4)\/(-16))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b**2. Let r(u) = -3*u - 7. Let n(j) = j + 2. Let q(w) = 7*n(w) + 2*r(w). Give q(g(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((49686\/8918)\/((2\/(-7))\/(-1)))\/(9\/(-12))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19858664 minus 10699?\nAnswer: 19847965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.7, -0.05, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.44 from -0.0479.\nAnswer: -0.4879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roodrorrookhodheodro. What is prob of picking 1 r, 1 h, and 1 d?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 810*u + 583. Is f(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from dooffofofodofo.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*4 - sqrt(784))\/(sqrt(56)\/sqrt(7)*2).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 414 + -402.2. Let w = -11.79744 + u. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(3*p - 2*p + 0*p) - 2*p - 14 + 4*p + 1)*(359 - 994 - 528).\nAnswer: -4652*p + 15119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 8*o - 66 - 22. Let b(t) = t**2 - 5*t + 3. Let q be b(5). Calculate the greatest common factor of q and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-64 + -14 - (11 + -7 - 10))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -47. Suppose l - 84 - 120 = k*u, -4*u - 4 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 102988 = -0*p. Let m = -13747 + p. What is m rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l\/(l\/l**(1\/2))))\/l))\/l**3*l*l**(-3\/5)\/l*l*l*l*l**(-3\/5)\/l assuming l is positive.\nAnswer: l**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:37 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411936 and 12520.\nAnswer: 644679840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*i - 24. Solve 2*l + i*k + 2*k = -4, 5*l - 5*k = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697860644 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 829, 864, 913, 976, 1053?\nAnswer: 1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.5001 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 611197999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1159524 >= -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 7?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -0*i. Let b be ((-4)\/i - -4) + -2. What is the units digit of b + (-1 - -1 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2169?\nAnswer: 2\/2169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 10*s + 7. Let l(v) = -3*v**3 - 5 - 2*v + 8*v + v + 4*v**3. Let w(g) = 7*l(g) + 5*o(g). Find the second derivative of w(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjrjjxxjr. What is prob of sequence xjjx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72922053 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1758*c**3 - 1867 - 8*c**2 + 1963 - 5182*c**3 wrt c.\nAnswer: -20544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32094 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000077011 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 531, 552, 591, 654?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12446 - -12453. Solve 5*q - d - 19 = 0, m*q - 10*q + 17 = 5*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2380606 + 3528606. What is y rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -55388865005*n**2 + 45257930*n - 9245 = 0.\nAnswer: 43\/105251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-3) + 18\/27. Let f = 9 - k. What is the lowest common multiple of 5 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.055 - 0.055. Let p = b - -12.2. Round p to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.9, 3, 11197?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1849 times 0.051?\nAnswer: -0.0094299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3769.\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/(-288)*48\/4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -421530\/17 - -24796. Factor -6\/17 + m*j**2 - 4\/17*j.\nAnswer: 2*(j - 3)*(j + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131554*v + 263109*v - 131553*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3)\/((-2)\/(-91)). Let l = -51 - r. Let h = l + -13. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/5 - 48*y**4\/5 + 628*y**3\/5 - 3366*y**2\/5 + 1487*y - 930 = 0.\nAnswer: 1, 5, 6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/14*(-2)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 798.6 - 794.6. Which is the nearest to -1? (a) x (b) -0.131 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -26*o. Suppose 5*q - 16 = 4*q. Suppose 5*x - 4*x - q = 0. Let k(f) = 5*f. Calculate x*k(i) + 3*j(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydadddyyyujuyyy. Give prob of picking 1 d and 1 u.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggkg when four letters picked without replacement from gkgggggggkg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 5 + 7*w - w - 6 + 8 - w as y + p*w**2 + a*w and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1850009288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 1\/720*l**6 + 1\/144*l**4 + 0 + 0*l**3 - 1\/180*l**5 - 2*l**2 + 0*l. Find z such that p(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, -1\/3, 5, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 + 9*i - 2. Let v(q) = -5*q**2 + 8*q - 3. Let n(l) = -6*f(l) + 7*v(l). Let t be n(-6). Solve -c + t = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 70 = y. What is the highest common factor of y and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 39 + 182 = 0. Solve -y*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + y - 7, 2*h - 3*y - 26 = y. Solve h*f + 5*c = -0*f - 19, -9 = 5*f - 3*c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25280 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 2*m**3 + m**3 + (-1 + 2 + 1)*(-m + m + 9*m**3) in the form j*m**3 + t + f*m**2 + k*m and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*v, -5*z + 8 = -0*v + v. Suppose z*s + 4 - 8 = 0. Let t(p) = 7*p**2 + 4*p - 3. Is t(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2\/2 + 12297625*z\/2 - 6148815 = 0.\nAnswer: -2459526, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/13*(-1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 = 14. Let s(a) = 2*a + 1. Let h(q) = -7 - 2 + 665*q - 669*q + 2. Let g(i) = 8*i + 15. Let o(j) = 4*g(j) + 9*h(j). What is d*o(w) + 7*s(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*x**2\/7 - 2978*x\/7 - 152.\nAnswer: -(x + 76)*(39*x + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 852.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.477077 millilitres to litres.\nAnswer: 0.001477077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7.3. Let c be 248\/88 + (0 - 3). What is the smallest value in c, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.025 smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + (3 - -1) - -440 and 6.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 3, -51464, 1\/7, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22132451 (base 6) to base 10.\nAnswer: -665455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)*((u**(-2\/11)\/u)\/u*u)\/u*u**(-1\/8)*u**(-1))**(-2\/11) assuming u is positive.\nAnswer: u**(697\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -0.2, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7536 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 145. Suppose -22*n = y - 67. Solve 12 = 3*s + n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.772 and 0.1?\nAnswer: 9.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*b + 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23523596611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/3037 + -3081\/66814. Let x be (-1)\/((-1)\/2*1). Let u = x - 1. Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -21*p - 147. Is k(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let v(r) = -2*r + 2. Let y(b) = b**2 - b + 1. Let a(g) = v(g) - 2*y(g). Let l(c) = -2*c**2. Let q(j) = -2*a(j) + 3*l(j). Give t(q(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 591322\/237384 - (-2 + (-45)\/(-21)). Let f = j + 7\/1884. What is the common denominator of f and 7\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 7490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5208*y + 8585 = 5309*y. Calculate the highest common factor of y and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10140829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*y - 6, 4*y + 5*a + 14 = 4. Let n = y + 7. Let r = 12 - n. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54470 - 49197.6. Round z to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 48 - 19*z**3 + 9*z**3 - 19*z**3 with respect to z.\nAnswer: -87*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) -71\/5 (c) -5 (d) -44 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605697955.\nAnswer: 5, 29, 11073779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 140*q**2 - 78875*q - 74398893 wrt q?\nAnswer: 280*q - 78875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88738 is divided by 22175?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -49825.6826 to the nearest ten.\nAnswer: -49830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*j - 3*j. Let l(a) = a**2 - 7*a + 4. Let w be l(j). Suppose -w*f - f - z = -14, 2 = -f + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1644 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22452 - 4?\nAnswer: -22456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -10. Let m be (-16)\/(-2)*h\/(-4). Suppose v + 16 = 6*v - l, -l = -v + m. Solve 2*i + v*z + 16 = 0, 4*i - 5*z = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616148 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 69. Solve 4*r + 4 = f*r, 0 = -d + 3*r + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1003 - 1017)*-4*(-10)\/8?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/3 + y - 222. Let t(c) = 68*c - 3. Calculate t(i(r)).\nAnswer: -136*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 49941524 to the nearest one hundred thousand.\nAnswer: 49900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 + 720\/(-16))\/(4 + 553\/(-133)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146300 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, m: 5, h: 4}. What is prob of picking 1 m and 3 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52119*f**3 - 2*f**2 + 15*f - 5725078 wrt f.\nAnswer: 156357*f**2 - 4*f + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*p - x - 2, -5*p - 3*x - 30 = 0. Let v = -4.7234 + -0.2766. Which is the closest to 0.1? (a) p (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6689*u - 10778*u + 3159*u + 1866*u.\nAnswer: -12442*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*s + s - 4*q, 12 = -2*s + 2*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66387660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1681 + -1033. Is d a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -28*q**3 - 29*q**3 - 34*q**3 + 3 + 7*q + 6*q**2 + 92*q**3. Calculate r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*a - 40, -6*a = -2*v - 64 - 31 + 47 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -152457*f. Let b(m) = -4*m**2 - 21*m. Determine b(l(p)).\nAnswer: -92972547396*p**2 + 3201597*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*m + 3*s - 15, -m = -5*s + 7. Let v(l) = 2*l - 2. Let a be v(m). Solve a*p - 3*p + 1 = 2*t, p + 2*t - 7 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u. Let g = u + 20. Calculate the highest common factor of 60 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*b*c**2 - 166*b wrt c?\nAnswer: -202*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 143. Which is the closest to -2\/5? (a) s (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2005 - 5?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/6 - 5*z**2\/2 - 27*z. Let p be (-6)\/36 + (-67)\/(-6). What is d(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let l = 33885 - 33885.031. Is y smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2971 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.6 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 28 = 4*i, 0 = -x + 10 - 5. Let z = 8 + i. Let s = 21 - 11. Calculate the remainder when s is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axuxucuoauaxx. What is prob of sequence ao?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/148376 and -137\/612?\nAnswer: 1335384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.27 - 0.43. Let o = m - -2. Let w = 0.0959 - -0.0041. What is the closest to 2\/5 in 4, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l + l + l. List the prime factors of s(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1313, -1323, -1349, -1397, -1473, -1583, -1733, -1929?\n\"Answer: -p**3 - 2*p**2 + 3*p - 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-51)*(-3)\/20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -14. Put 1, -5, b in decreasing order.\nAnswer: b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 12*l - 12*l + 2*l**2 + 4*l**3 - 27 to q*l + b*l**3 + p + v*l**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + h + 11, -n - 5*h = -6*n + 35. Let w(d) = 69*d**2 - 3 + 5*d - 141*d**2 + 71*d**n. Calculate w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - 0.14. Which is the smallest value? (a) -4 (b) 5 (c) l (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 16*z - 28. Let x(m) = -4. Let t(j) = -i(j) + 5*x(j). Let w(o) = -2*o**2 + 33*o - 17. Give 13*t(u) + 6*w(u).\nAnswer: u**2 - 10*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/82472599?\nAnswer: -2\/82472599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19419594 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23737760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(24\/21)*(-150)\/(-105)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2813 and 20880?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + 41 + 6 + -90?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78948 and 120.\nAnswer: 789480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031.689 millilitres in litres?\nAnswer: 6.031689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 0, 0 = 4*d + 2*m - 148 - 258. Let x = 155 - d. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.1. Which is the nearest to 1? (a) -3 (b) -2\/19 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = s + 3, -10*h + 24 = 2*s - 6*h. What is the remainder when (165\/2)\/(11\/s) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75355.684 rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 10:31 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 3*r**2 - r**2 + 3*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from wuzrzcc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8825 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 15 = -4*o + 15, 9 = 2*o + c. Suppose -40 = -5*z + 3*m, 5*z - m + o*m = 40. What is the least common multiple of z and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, 5, 14, 27, 44, 65?\n\"Answer: 2*i**2 - i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 5*r + 16*m, -r + 3*m - 93 = -82 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 76*x**2 - 2*x - 2. Let k be o(2). What is the units digit of k\/6 - (-3)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 10167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 2)*(2*p - p - 3*p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 5*v + s - 16, 0 = -3*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -18 - (-3 + 0 + -87 + 141)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 585\/100)\/((-4)\/(-10))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-8 + 3)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2\/3 - 136*f\/3 + 1156\/3 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 46, -12 in ascending order.\nAnswer: -12, -3, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g = -25*g - 3*h - 13, -g + 6*h = -16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00793839 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 3*l - 31 = 0, -3*l = -5*a + 38. Let o = 7 - a. Suppose -12*d = -6*d. Solve 5*k + o*y - 5*y - 10 = d, 5*k - y - 22 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -7 + 32. Suppose 4*i - 12 = 0, 5*k + o*i - 59 = k. Suppose l = 2*l - k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 5 (c) -130 (d) -18.5 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 297\/12 - 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-8) + (-25)\/8. Let n be 9\/((-3)\/5700*d). Let j be n\/42 + (-2)\/(-7). What is the highest common factor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 0)*(-1)\/(-2). What are the prime factors of (-3)\/1 - 15*x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 3 (c) -5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55647, -111358, -167127, -222948, -278815?\nAnswer: -334722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-4\/3))\/s*s*s)\/s*s\/(s\/s**(13\/3)))\/(s**(1\/2))**(-25))**(2\/19) assuming s is positive.\nAnswer: s**(115\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -31*a**7\/42 + a**6\/15 - 1139*a**5\/15 + 70*a**2 - 2*a + 1. What is the third derivative of x(y) wrt y?\nAnswer: -3720*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000000 (base 2) to base 5.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -440*l + 11. Let i(y) = 88*y - 2. What is 2*d(z) + 11*i(z)?\nAnswer: 88*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1781 <= 2\/5485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 + -2.4. What is the biggest value in -1, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1 - (2 + 0 - -54). What is the hundreds digit of 2960\/3 + (-19)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2370, 4303, 6236?\nAnswer: 8169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 0 + sqrt(468) + 4 + sqrt(468) + (0 + sqrt(468) + sqrt(468) + sqrt(468) + sqrt(468) + -3 - sqrt(468)))*-6 + -5*sqrt(468)*-1*-4 + 3)**2.\nAnswer: 2016*sqrt(13) + 1467657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-10 + -6 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27247*f**2*t**6 + 2226*f**2*t**2 - 6*f**2*t wrt t.\nAnswer: 3269640*f**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 4834909?\nAnswer: 9669818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 1 i when three letters picked without replacement from {c: 5, y: 2, i: 5, a: 2, j: 5}?\nAnswer: 125\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/305 and -33\/17.\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 69000768 divided by -1314\nAnswer: -52512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 2*x - 3*x + (0*x - 2*x + 3*x)*(-1 + 6 - 2) - 2*x + 4*x - 3*x + (2 + 1 - 4)*(x + 0*x + 0*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 838, 1105, 1372?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**4*x))**(9\/2)*x**(-5)*x*x**(-2\/9) assuming x is positive.\nAnswer: x**(-481\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 81\/(-3) - (-38251 + -61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + 176312*y**3 + 1942693748*y**2 - 3886621760*y - 5829139200 = 0. What is y?\nAnswer: -22040, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(112)*5)**2 + ((sqrt(7)*-2 + -4)*3 + -1)**2.\nAnswer: 196*sqrt(7) + 3222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1 - -3) + 14 + -2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*m + 2, -5*o = -7 + 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-21 - 47 - (-40 + 7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -10033322110?\nAnswer: -10033322200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:56 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 - 176*w**2 - 1712*w + 4160 = 0. Calculate w.\nAnswer: -26, -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 132?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4707 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0083 and 0.5.\nAnswer: 0.00415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j = 111*j + 5*b - 20, 0 = -j + 3*b - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483 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: Let u = 12358 + -19211. Let c = 123439\/18 + u. What is the common denominator of -62\/33 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*h**2 - 57*h**2 + 230*h**2.\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7592 > -0.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6762 and 218040.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -3*p**2 + 0 + 5\/8*p**4 - 8*p - 2*p**3. Find b such that y(b) = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7650 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 - 4*c**5 - 50*c**2 + c**5 - 8 + 38*c**3 + 0*c**5 - 14*c**4 + 32*c = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.4 (c) 95 (d) 3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 232*v + 13 = -233*v, -y = 3*v + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -24*f - 135. Let l be s(-7). Suppose -b - l = -273. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -4, -45, 27, 4 in decreasing order.\nAnswer: 27, 7, 4, 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-9 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + -3. Let a = 2.816 - -0.614. Let h = a + -1.43. What is the smallest value in 0.3, p, 4, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.289 - 0.011. Let f = v + 5.3. Sort 13\/3, 5, f in ascending order.\nAnswer: f, 13\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 2. Let v = f + -4. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (18 + 1 + -12 + 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 16, -3.41, -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*o - 21813 - 70169. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l**2 + 17*l + 35. Suppose -2*o - 20 = 5*n, 2*n + 3*o + 25 = -3*n. What is the tens digit of d(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-10 - (-3 - 0))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dzddhdzzhhz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9.2. Let p = q - 2.5. Which is the smallest value? (a) -3 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-91) + 119\/13. Suppose 0 = 3*q - j - 0. Solve 9 = 6*b + q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o. Let s(z) be the third derivative of 0 + 0*z**3 - 1\/6*z**4 - z**2 + 0*z. Give -5*f(m) - 12*s(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/((m*m*m*m**14\/m*m)\/m))\/m)\/m)**1\/(m**(-1\/9))**45 assuming m is positive.\nAnswer: m**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 62 + 64. Solve -4 - 3*y**w + 4*y**2 - 6*y**2 + 5*y + 14 = 0 for y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2730*c**2 + 2750*c**2 - 8036*c**2 + 3 + 2740*c**2 - 2*c as w*c**2 + m*c + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 481, 735, 1005, 1297, 1617, 1971, 2365?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 - -190. Let r(i) = -28*i + 78. Suppose -3*g = -4*g + 16. Calculate the remainder when r(n) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {e: 10, w: 4, y: 6}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22925 + (19\/(-114))\/(5\/60). Calculate the highest common divisor of t and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 28906, -3\/4, -8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0744, -37\/18, -0.19?\nAnswer: -0.0744","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 5\/12*x**4 + 0*x**2 + 0 + 0*x**3 - 16*x. Let v(y) = -4*y. Calculate q(v(j)).\nAnswer: 80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1479, -5998, -13531, -24078, -37639?\n\"Answer: -1507*t**2 + 2*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -67?\nAnswer: -21\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-11 + 5 + 4)) + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 23*h**2 + 41*h - 73. Let m(l) = -93*l - 81. Let c(o) = -5*m(o) - 9*v(o). Differentiate c(y) with respect to y.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in -4, -43, -57?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000741 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1113*a - 1121*a + 92728. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose 0 = -b*g - 4*s - 16, g + 3*g + 20 = 4*s. Is (g\/4)\/((-3)\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286900, -286906, -286912, -286918?\nAnswer: -286924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 2, c: 4}. Give prob of sequence cuuc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9819783\/26 or -377684?\nAnswer: -377684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**2 + 1. Let z(w) = -10*w**2. Let o(v) = v**2. Let r(n) = 10*o(n) + 2*z(n). Calculate b(r(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o**2 + 1. Let s be n(-1). Suppose -3*w + s = -2*z, -1 = 10*w - 5*w + 4*z. Solve -w*d + 4 + 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1 - 0) + 38)\/(-210). Let j = k + 1\/30. What is the smallest value in -6, 0.1, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127135 and 42065.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/4)\/x**(-1\/11))\/(x*x**5*x**(-11)))**(2\/33))**5 assuming x is positive.\nAnswer: x**(1175\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 286882 = -47482. Is 8 a factor of ((-2)\/5)\/(5*(-7)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (583*k**2 - 3553*k**2 - 2989*k**2)*(4 - 2*k - 4) + (k**2 - 2*k**2 + 3*k**2)*(-k + 4*k - 2*k) + 1 - 1 + k**3.\nAnswer: 11921*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.02, 0.3, -12, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 3709, 2, 1 in ascending order.\nAnswer: -7, -2, 1, 2, 3709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3*f - 17. Give r(10).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 121202 (base 3) to base 16\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 232.35164 * 0.4\nAnswer: 92.940656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14944796.\nAnswer: 2, 3736199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404393 is divided by 503.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 102. What is the greatest common factor of 243 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3355886557?\nAnswer: 3355886557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26343 and 3304583.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*7\/147*1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + s**2 - 2*s + 4. Let w(f) = 4*f**3 + 3*f**2 - 3*f + 7. Determine 5*g(c) - 3*w(c).\nAnswer: -2*c**3 - 4*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5, 4*h + 9 = -5*l + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzmxe. What is prob of sequence zemx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 2*r**2 + r**2. Let w(q) = -4*q + 6. Let t(k) = -18*k + 33. Let y(x) = 2*t(x) - 11*w(x). Calculate y(p(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 9*n - 42 = 0. Let k be (-51)\/(-6)*(-4)\/(-1). Let a be k + 3\/(-9)*-3. What is the highest common divisor of a and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 3*c**2\/2 - 6*c + 26. Suppose -3*o + 4 = -8. Calculate m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -29*h**2 + 26*h + 45. Let l(b) = -4*b. Calculate z(l(n)).\nAnswer: -464*n**2 - 104*n + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 152, 285, 470, 707?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from acrocppo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 485596261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -206, -409, -602, -779, -934?\n\"Answer: x**3 - x**2 - 207*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o, 0*b - 5*o - 4 = 3*b. Solve 12 = 2*t - 3*v, -v - b*v = 5*t + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - -134. Suppose -203 = 4*p - i. Sort -0.3, -2\/5, 5, p in increasing order.\nAnswer: p, -2\/5, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 + -2?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 1. Let c be 1 + 2 + j + 1. Let d be (-6)\/15 - (-3)\/(-5). Are d and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 bigger than 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33606 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 6297 - 6744 = -90*h - 70*h for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 - -188. Suppose -2*h = 4*z - 64, -34*z = -33*z - 2*h - 31. Calculate the remainder when f is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179610 is divided by 1833?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8673.15 - -8673. What is the closest to 0.1 in -1\/12, -3, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2571300 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 694 - 166 = 0. What is the smallest common multiple of t and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Let v(i) = 2*i**u + 0*i**2 + 0*i**2 + 0*i**2. Let g(a) = -2*a**2 - 5*a + 5*a. What is v(g(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 30 = 0, -113*y - 3*v + 3 = -108*y - 6*v - v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 - -3. Let h = -1.82 - 0.18. Sort b, -0.3, h in increasing order.\nAnswer: h, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/597*(-4722)\/15740.\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 - -771. Suppose 434 = 2*x - w. Let c(o) = x + 2*o - 458. Let h(y) = y. Give h(c(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d + 2)*(4*d - 4*d + d) + d**2 - 2*d**2 - 3*d**2 + 2*d - 5*d + 4*d + 4*d**2.\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 13 = -7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j + 75. Let x(k) = 3*k + 75. Let n(c) = -2*s(c) + 3*x(c). What is the derivative of n(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {n: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -1.13\nAnswer: -0.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - c + 6*c = -158, -2*c + 172 = 4*d. Let v be d\/8 + (3 - 7). Let k = 7 - 5. What is the smallest value in 3, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.42639 decades in months?\nAnswer: 11091.1668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrunxrxhyuyrhy. Give prob of picking 1 y and 2 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 47 = 5*r. Suppose -m = -r + 23. Let o = 20 + m. Solve -f + 6 = j, o = -2*j - 3*j + 2*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 27*s + 2995. Determine y(46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21384 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165935 and 44?\nAnswer: 663740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 106*s + 104 + 7*s - 212 - 280 - 111.\nAnswer: s**2 - 99*s - 499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(1216) - (sqrt(1216)*-3 + sqrt(1216)) - sqrt(1216)) + -2)*-4*1)**2.\nAnswer: -1408*sqrt(19) + 77945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -24, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 + 2.51. Let v = -0.75 - n. What is v rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*x + 33. Let i = x + -9. Let s be 2*(-1)\/i*450. What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -212.054?\nAnswer: -213.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/21, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 19. Let d = b - -26. Let j = -7 + d. Which is smaller: j or 4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 31763.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u. Let l be 4\/(-16) + (-18)\/24. Which is bigger: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121534, 2, 4 in descending order.\nAnswer: 4, 2, -121534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/1*15546\/(-741026)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lld when three letters picked without replacement from dbdddydllzl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*h**3 - 520*h**3 + 333*h**3 + (-2 + 1 + 3)*(5 - 5 + 1 + 2*h**3) in the form p*h + f + z*h**2 + w*h**3 and give w.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k*t**4 + 14499*k*t**2 - 168*k*t - 8*k - 3*t wrt t?\nAnswer: -72*k*t**2 + 28998*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 123. Let c be t(0). Let i = 36 - c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:25 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -1 - (-112 + 105 - (2 + -11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122003 - 340?\nAnswer: -122343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 10*j + 0 - 8\/3*j**2 - 2\/45*j**6 - 13\/9*j**4 - 8\/3*j**3 - 2\/5*j**5. Factor f(z).\nAnswer: -4*(z + 1)**2*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (4 + -7 - -17). Is (-254)\/(-10) + 4\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h. Let z(o) = -o**2 + 4*o - 3. Let j be z(3). Suppose 21 = -4*f - b + 114, -5*f - 4*b + 119 = j. Let a = 23 - f. Give k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 740330.81 - 736986. Let r = f + -3322. Let a = -23 + r. What is a rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (338\/(-845) + 11\/5)\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 5, 350339 in descending order.\nAnswer: 350339, 5, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.3, -5, 3 in descending order.\nAnswer: 8, 3, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69325*n - 1481*n**3 + 69325*n)*(-1 - 1 - 1 + (1 - 1 + 1)*(2 - 3 + 3)) to v*n**3 + w*n + l + o*n**2 and give v.\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -10, -4, 2, 8, 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-644))\/((300\/(-3150))\/(4\/((-12)\/(-1))))?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -93*w - 2. Let o be i(-2). What is the remainder when o\/8*(1 + 1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1128 + 0.064. Let c = n + 23.1488. Let i = c - 23. Sort 4\/9, i, -4 in decreasing order.\nAnswer: 4\/9, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from ssffsfrff.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547940 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24925.91 days in nanoseconds?\nAnswer: 2153598624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -702?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 906, -1 in descending order.\nAnswer: 906, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8583 - 0.786. Round l to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27953*k**3 - 13981*k**3 - 8*k + 2*k**2 - 82*k**4 - 13974*k**3 to the form p*k**3 + f + n*k + x*k**4 + a*k**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -63872 divided by 4\nAnswer: -15968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 124*g**3 + 617*g**2 + 79. Let t be z(-5). Factor -2\/5*c**2 - 2\/5*c**t - 2\/5*c + 14\/15*c**3 + 4\/15.\nAnswer: -2*(c - 1)**3*(3*c + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnmnhhhhnhhnhhhnhh. Give prob of sequence mmhm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3911892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*a + 873 = -203*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-13)\/182*(-9)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*5\/(-15)*1\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 - -208. Suppose 4*l = 2*t - 6, 0 = -y*l - 7*t + 6*t + 8. Let c(z) = 3*z**3 - 3*z**2 + 2*z**2 + 0*z**3. Calculate c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.367769 millimeters to meters.\nAnswer: 0.001367769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2934990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 12 - 11 - 2050*w.\nAnswer: -2050*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25299 plus -0.1?\nAnswer: 25298.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 2*p**3 + p**3)*(3*p + p - 2*p) + 2*p**4 - 3*p**4 + 0*p**4 - 5659*p**3 + 5659*p**3 + 16548*p**4.\nAnswer: 16545*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 64*l**2 + 56*l - 56. Let d(r) = r**2 + r - 1. What is 112*d(j) - 2*f(j)?\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 11)\/(-1 + -1). Suppose -x*c + 13 = -15. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**3 + 161*q**2 - 31*q + 735. Give z(23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -377. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000057024937 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**4 + 5*x**3 + 2*x**2 - 1. Let f(t) = -t**3. Let o(j) = 20*f(j) + 4*i(j). Factor o(m).\nAnswer: -4*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31)\/7 + -1 + (4 - -1). Let c = 6 - 6.2. What is the closest to c in 0.1, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + y + 0*y + (2*y - y + 0*y)*(3 - 2 - 3) + (1 - y - 1)*(-230 + 15 - 3) + 0 + 0 + 2*y as f + s*y and give s.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -4*(-14 + 1). Suppose n - 6*n = -m. What is the remainder when 29 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 125373 = -55*a - 1329695. Round a to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -68, -4, 3\/8, -0.3 in ascending order.\nAnswer: -68, -4, -0.3, 0.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/13 - 2\/13*z - 2\/13*z**2.\nAnswer: -2*(z - 2)*(z + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1755 + -0.81337.\nAnswer: 1754.18663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.21\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**5 - 7389*y**4 - 14699*y**3 + 35269*y**2 + 42600*y + 9828 = 0. Calculate y.\nAnswer: -819, -3, -2\/3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -278 or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1137353\/412182 - 2\/22899. Calculate the common denominator of -73\/72 and p.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6756?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526593 is divided by 792.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228417187 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3 - 157*b**2 - b - 84.\nAnswer: 6*b - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**5 - 3*i**3*k**2 + 13*i**3*k + 2*i**2*k**2 - i*k**2 - 108 wrt i?\nAnswer: 360*i**2 - 18*k**2 + 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4145 (base 7) to base 5\nAnswer: -21304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5571, -10254, -13845, -15798, -15567, -12606, -6369, 3690?\n\"Answer: 91*z**3 - 5320*z - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0) + (-2)\/16. Let h be (-20)\/15*(-2 - (-2)\/4). Suppose 5 = h*z - 3*z. Which is the nearest to l? (a) -0.3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 467652 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1885\/(-4))\/1 - (-69)\/(-92). Let s = -460 - k. Suppose 5*a = 3*n - 6, 6*a - 8 = 3*a - 4*n. Solve 4*g + a*g = -s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + t = 1024 - 1034, 0 = -4*s + 5*t + 38 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 5*h + 2. Let i be (-1 + 2)*24\/6. Determine f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*h**2 - 61 - 68*h**2 - 211*h**2 + 3*h + 58 wrt h?\nAnswer: -772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 19*x**2 + 3*x + 4. Let y(j) = 22*j**2 + 3*j + 4. Determine 6*o(d) - 5*y(d).\nAnswer: 4*d**2 + 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 45 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3960, 7935, 11910, 15885?\n\"Answer: 3975*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4. Suppose -g = -2*p + 38, -3*p + 30 = -p - 5*g. Suppose -p = -2*q - 3*q. What is s(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 - 3*r + 11. Let y(v) = -v**2 + 16. Let f be y(5). Calculate the lowest common multiple of 3 and g(f).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 151092480 and 33792.\nAnswer: 604369920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/80 + (-45)\/(-120). Which is the nearest to 2\/3? (a) 0.1 (b) -2\/15 (c) 1\/4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 419283 = -2*f + 90457, f = -h + 82220. List the prime factors of h.\nAnswer: 229, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18769*s**2 - 37526*s**2 + 58*s**3 + 18757*s**2 + 175*s**3.\nAnswer: 233*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -146. Suppose -4*p + 5*j = -21, -4*p + j + 0*j = -17. Suppose -2 - 4 = t - 3*s, 0 = -s + p. Solve y - q*o - 10 = -t*o, 4*o + 5 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l + 160. What is the smallest common multiple of (-7)\/(-3) + (4 - l\/(-12)) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/9)*h*h**(5\/3))**(-21))**41 assuming h is positive.\nAnswer: h**(-10045\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:16 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 579669 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*i**2*v**2 + d*i**2*v + d*i - 34*i**3*v**2 + 6*i**3*v - 2*i**3 - 2*i*v**3 wrt v?\nAnswer: -4*d*i**2 - 68*i**3 - 12*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 219160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let a be (2 + -4)*(-3)\/2. Let j(q) = -a*q + 0 + 2 + 3. Let v(z) = 2*z - 4. Let c(y) = 4*j(y) + 5*v(y). Give f(c(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 231 = 3*m - 159, 4*j + m - 40 = 0. Let u = -190 + 367. What is the remainder when u is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-75))\/((-6)\/20). Let m = 3833\/92 - 167\/4. Which is the nearest to j? (a) m (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030 = -3*b + 994. Let s(t) = -t**2 - 17*t - 5. What is the units digit of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2123, 5, 68.\nAnswer: 5, 68, 2123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -514347 + 752?\nAnswer: -513485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33280 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 50760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233*l**3 - 514.\nAnswer: -699*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 746181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 9*d**2 + 5*d + 13. Let b be q(-4). What is the greatest common factor of 12 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 16. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/269 + -556\/2421. Let d(z) = 4*z - 10. Let m be d(3). Suppose -m = -5*g - 7. What is the third smallest value in s, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -1267 + 1295. Let h(s) = 7*s. Let g(c) = 7*c. Calculate b*g(z) - 5*h(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*f + 4, 0*u - 2*u - 7 = -f. Let w be u\/(-1)*(-10)\/8. Put 4, w, -2 in descending order.\nAnswer: 4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.4, 6, 25, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t - 241*t - 1227 = 1181 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35097 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: In base 4, what is 2310 + 2023200?\nAnswer: 2032110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2265.001 + 2266. Let b = 0.039 - c. Round b to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 78. Put 0, i, -19 in decreasing order.\nAnswer: 0, i, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from earbvebvvaqvaaaravr.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 37 = 3*d + d, 0 = -d - 3*v + 16. Let k = -28 - -31. Let c(n) = 2*n + d + k - 5. Calculate c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1879939866 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 137. Let u = -43 - z. Differentiate 32*o**2 - 5 - 2 - 13*o**u - 32*o**2 wrt o.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3473 divided by 23.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 - -111 - (5 + 45)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4255.5007 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -19434.87?\nAnswer: 19440.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32877909191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -260*p - 1. Let h be o(-1). Let b be ((-19)\/(-25 - -63))\/((4\/(-2))\/1944). Let r = b - h. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 27*h**2 - 50*h + 628. What is x(24)?\nAnswer: -2300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15644, 31249, 46832, 62393, 77932?\nAnswer: 93449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 32*a**3 - 876*a**2 + 1156*a - 312 = 0.\nAnswer: 3\/8, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjjjhhjhjjjjjhjhhj. Give prob of sequence hj.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -37*w + 104. What is j(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37517952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 246*o - 2710. Determine c(71).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((40\/(-4))\/(-5))\/7. Which is the second biggest value? (a) -3\/4 (b) 3\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 195 = 2*y, -v + 4*y = -199. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.046 + 5.446. Let q = w - 2.4. Let l = 2.7 - 3. What is the closest to 1\/4 in -2, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 2. Let g be i\/((-4)\/(-26)) - 1. Factor 0*x - 3*x + 9*x**2 - g*x**2.\nAnswer: -3*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1\/2, -5, 1.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4 - 593*n**3 - 8867*n**2 - 44088*n - 70812 = 0.\nAnswer: -281, -6, -7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968819.\nAnswer: 968819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45420341\/14 - 3242894. Let c be 1 - 5 - (-80)\/15*267. Let y = c - j. Find the common denominator of y and -59\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 27 = -3*m, -2*m = -r - r + 14. Let y = 3.4 - 3.8. Let n = -8 - -6. Sort n, y, r in increasing order.\nAnswer: n, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4770?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -14*y**3 - y - 1. Suppose 5*s + 4 + 1 = 0. Let z be l(s). Suppose 1869 = 11*c + 329. What is the greatest common factor of c and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.456134 from 0.010423216.\nAnswer: 0.466557216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o - 21. What is the remainder when w(-6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -13. Let h = -56 - -56. Put h, j, -0.3, 4 in ascending order.\nAnswer: -0.3, h, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 35*b + 2001. Let u be q(-55). Calculate the highest common factor of u and 31844.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*i - 5*j, 3*i + 2*j = -2*j - 44. Let a be (-14)\/i - 5\/(-20). What is the third derivative of -4*r**3 + 2*r**2 + 2*r**a + r**3 - 3*r**2 wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-80))\/1)\/((-5)\/((-2160)\/(-54)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 13*z**2 - 45*z - 278. What is b(-6)?\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (-3 + sqrt(700) - sqrt(700))**2)*-5*6*4.\nAnswer: -120*sqrt(7) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 12532*r - 12531.\nAnswer: -(r - 12531)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 4 + 4*(-637)\/(-14). What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 + 7)*(2 - 6 + 3)*((-2 - 3 + 7)*(w - 2*w + 3*w) - 3*w + 4*w + w) to the form u*w + o and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2681 and 3766805.\nAnswer: 3766805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 462051976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 93. Suppose -49 - 5 = -3*d. What is the least common multiple of d and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42626 * -1812.\nAnswer: -772.38312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104*(-3)\/(-6)*12\/4.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 19*n + 13*n + 1 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*h + 23 - 10*h - 18 as f + z*h and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3385*s**2 + 60*s + 61. Is a(-1) a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3758 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.43198 litres to millilitres.\nAnswer: 14431.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1022 + 210. List the prime factors of t.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = 2*a. Suppose 5*l = -a*i + 30, 6*l = -2*i + l + 15. What is the tens digit of (i - 3)*(21 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2471.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24535 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 5*s**2 + s + 5. Let l be n(-5). Let h = 3 + l. Solve -4*p - 8 = 2*f + 2, 4*f - 24 = h*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(147)*4).\nAnswer: sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1516606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 80 - (8991 - 8809)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16170, -32544, -49374, -66888, -85314, -104880, -125814?\n\"Answer: -38*f**3 - 16108*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 279575885 a multiple of 5142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4670 - 230791766\nAnswer: -230796436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7797, 7778, 7745, 7692, 7613, 7502, 7353, 7160?\nAnswer: 6917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -69192, -138381, -207570, -276759, -345948, -415137?\n\"Answer: -69189*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1111.94 to the nearest ten.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4.6, -3, 2\/11, -25, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 23064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*j, 31*k - 16 = 33*k - 2*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -74193557?\nAnswer: 74193557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8 + 75.8. Let p = -61.999704 + y. Round p to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3342970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -64.\nAnswer: -13\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -2, 27, 1\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-142877)\/10416*10 + (-2)\/2. Let l = 1107\/8 + y. What is the common denominator of -23\/9 and l?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354128?\nAnswer: 2, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27576 divided by -12.\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3149*u**2 - 7646*u**2 - 8929*u**2 - 21047*u**2.\nAnswer: -34473*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1491 + -801. Let g = 686 - c. Put -14, 2, 5, g in decreasing order.\nAnswer: 5, 2, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/210 + p**4\/42 + 13*p**2. Factor c(f).\nAnswer: 2*f*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2902825 or 2902839?\nAnswer: 2902839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 282781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*q = -443*q + 110. Find the third derivative of -q*v**3 + 12*v**4 - 18*v**4 - 144*v**2 + 7*v**4 wrt v.\nAnswer: 24*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -69. Suppose 0 = m*s - 6*s + 93. What is the remainder when s is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 16777*u - 84360. Calculate l(5).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2364228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -209824.331 to the nearest one hundred.\nAnswer: -209800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-2 - 4 - (-18 - 14). What is the greatest common factor of o and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(-3*a - 1 + 1) - 2*a + 2*a + 2*a - a + 2*a - 3*a - 2*a - a + 2*a + (1 + 5 - 5)*(2*a + 0 + 0) - 62*a + 112 - 112 as d*a + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12113.53382 to the nearest integer.\nAnswer: -12114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 32 = -392. Let q = o - 34. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15372*a + 199823 wrt a?\nAnswer: -15372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5256 (base 8) in base 15?\nAnswer: c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-7)*q*q\/q**(-2\/9)*q)\/(q**(-5)*q*q**4))\/(((q*q**8)\/q*(q*q*q\/q**(-4)*q)\/q)\/(((q**5\/q)\/q)\/(q*q**2))) assuming q is positive.\nAnswer: q**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1593.6 + 0.2.\nAnswer: -1593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 4, m: 4}. What is prob of picking 1 h and 1 m?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5*s**3 - 24*q**4*s**3 - 95*q**2*s**3 + 2*q**2 wrt q.\nAnswer: -60*q**2*s**3 - 576*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55001917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = t. Suppose 0 = -p - 2 + t. Suppose p*o + 14 = -2*v, -11 = -2*v - 3*v + 4*o. What is the nearest to -0.1 in v, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 118*n - 790. Calculate the smallest common multiple of n and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1062790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9943.\nAnswer: 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-31\/3)*r**(-43) assuming r is positive.\nAnswer: r**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12666 is divided by 4172.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 46. Give q(10).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/30 - 22\/66. Which is the nearest to -3? (a) x (b) 14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1\/4, 8, -1, 83, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1278002326493122 and -0.5.\nAnswer: -1278002326493122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 90 = -3*d. Let u = d - -15. What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*q + 43, 4*q + 51 = 2*a + 3*q. Let r = -6 + a. Let n = r + -6. What is the greatest common divisor of n and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -207. Let s = v - 61. Let d be (-1 + 6)*130\/25. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 200*h**2 - 102*h**2 + 17 - 64*h**2 - 17. Let j(p) = -29*p**2. What is j(u(i))?\nAnswer: -33524*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 78. Let v = 261 - 244. What is the remainder when w is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 3 = -29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6627236248?\nAnswer: 2, 828404531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9407 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 487.3831 millennia?\nAnswer: 4873.831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215751546*b**5 - 218107799*b.\nAnswer: -4315030920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -599 divided by 69312\nAnswer: -599\/69312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208644415?\nAnswer: 5, 7, 19, 29, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, -1.4, -1, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, w: 2, x: 2, n: 4, k: 4, h: 1}. What is prob of picking 1 m and 2 x?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112975986 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 + 14259*v + 14227*v - 28484*v + 116 + (-5*v + 2*v + v)*(v - 3*v + v) in the form x + q*v**2 + t*v and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 + 6 = -2*f, 4*f = -5*c - 25. Let m(s) = 19*s - 5. Let w be m(c). What is the units digit of (-1475)\/w + 3\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6399772*h + 3. Let n(v) = -2*v**2. Calculate f(n(m)).\nAnswer: -12799544*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70498*n**3*y**4 + 3455*n**3*y**2 - n**2*y**6 - 20*y**2 wrt y?\nAnswer: 1691952*n**3*y - 120*n**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 + 714*r + 8775 = 0.\nAnswer: -225, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and -61\/8940876?\nAnswer: 8940876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 3\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/2, 429982, 2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + -2 + 0 + (11 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/1530*-9)\/((-2 + 5)\/(-8 + -1))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*a - 38, -a + 3 = -3*r + 4. Suppose 0 = 12*u - a*u - 120. Let x be 70\/u + 4\/6. Solve 3*w = -d + 4*w - 1, 0 = 2*d - x*w + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4))**(-37))**(-45) assuming c is positive.\nAnswer: c**(-6660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4197408, -8394766, -12592124?\n\"Answer: -4197358*v - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3187882126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45721 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55690572?\nAnswer: 2, 3, 7, 17, 59, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5704473 is divided by 496?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 15)*2\/4. Suppose 0 = -5*r + n*y + 25, 3*y = 4*y. Let o = 48 + -32. Solve -r*i + o = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)\/d)\/(d*d\/(d\/d**(1\/9)*d)*d))**(1\/7)\/((d*d**1)**(-18\/11)*((d**(-2\/17)\/d*d)\/d)\/(d**(-1\/3)*d*d)) assuming d is positive.\nAnswer: d**(478001\/82467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4989 - 4988.8. Let g = 8 + -13. Which is the closest to -0.1? (a) j (b) g (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7750, 7752, 7754?\nAnswer: 7756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-77) - 215\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45092245 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271436628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeu when three letters picked without replacement from zuuaezaze.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 364427 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.0401 (c) -1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3 - 3. Let b(c) = -c**2 + 5*c - 4. Let s be b(x). What are the prime factors of 13 + s + (-2)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3 + 0 + 2). Let u be (w*-3)\/((-45)\/(-10)). Suppose -7*i + 2*i = 10. What is the biggest value in -5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 143*d - 1674. Let z be k(13). Put 0, -5, z, -3, 5 in ascending order.\nAnswer: -5, -3, 0, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 40. Let t = l + 116. Let r = 1371 + t. What is r rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5 = -2*s, 0*y + 2*y + 4750 = -473*s + 4*y - 6*y for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 491392158 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/68 and 29\/1700?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 301 + 58. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * -4.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -80. Let i = d + -1. What is the smallest common multiple of 4\/32*18*4 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -11.\nAnswer: -10.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 1. Let i be (-27)\/21 - 6\/(-21). Let k be w(i). Solve 0 = -3*a + r - 3*r - 3, -2*a = k*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)\/(g\/(g**(-2\/9)\/g)*g)*(g**(-2\/3))**(2\/63))\/(g*g*((g*g**(-2\/9)*g)\/g)\/g*g*g*g*g*g**2*g\/g**4*g**5) assuming g is positive.\nAnswer: g**(-3595\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987128 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - -53) + -18 + (66 - 2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/32 + 286326*(-27)\/(-288)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 80 = -20 + 270 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**3 + 513*n**2 - 513*n**2 - 41992 + 41992.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**1\/(c**(-4\/9)*c*(c*c\/c**7)\/c) assuming c is positive.\nAnswer: c**(205\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 0 - 4 - h**2 + 4. Let o(q) = -6*q - 5. Let a(n) = n + 1. Let r(c) = 5*a(c) + o(c). What is r(f(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.3 (b) 0.08 (c) 5 (d) 4 (e) 3\/46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80057 * 0.8.\nAnswer: -64045.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 329*r**6\/120 + 24*r**5\/5 + 73*r**2. What is the third derivative of t(w) wrt w?\nAnswer: 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 68 = -2*m, -4*m + 2 = -6. Let p = -86 + 90. What is the remainder when w is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 4:45 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 2, l: 8, x: 9}. What is prob of sequence lox?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m + 10. What is the least common multiple of w(-5) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.246 - -0.213. Let h = 0.0329785 + o. What is h rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + 68 - (7 + 15). Solve -17*t + a*t = 108 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932043227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*(-2 + -2 + 0). Let x(b) = -2*b - 1. Let f(v) = v**2 + 2*v + 1. Let r(a) = -2*f(a) - 3*x(a). What is r(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**6\/s)\/s)\/s**(-2))**35 assuming s is positive.\nAnswer: s**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/27059 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -4\/1591?\nAnswer: -4\/1591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100100111000 (base 2) to base 10.\nAnswer: -22840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/21692*(-4)\/12*11.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:22 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9026 + -9017. Let k(j) = 9*j - 85. Calculate k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 25*w = 112 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -126*n + 127*n - 3*a, -15 = 3*n + 3*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 + 6*b - 3. Let j be i(5). Let y(m) = 2*m**2 + 2*m**j - 2*m**2. Let h(u) = -50*u. Calculate h(y(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67851687 a multiple of 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.12, -1, -0.83, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 16. Suppose 3*y = 5*l + j, -y - 2*y + 3*l = -21. Let k(c) = 9*c**2 + 3*c + 4. Let x(r) = 14*r**2 + 5*r + 6. Determine y*k(z) - 5*x(z).\nAnswer: 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 - 62*u - 27. What is the units digit of g(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nva when three letters picked without replacement from {a: 1, g: 2, v: 4, t: 1, n: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 614449117 to the power of 1\/3, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18326782 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(304) - (-4*sqrt(304) + sqrt(304) + -2 + sqrt(304))) + 3.\nAnswer: 8 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122212000212 (base 3) to base 14.\nAnswer: 486a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000151005 to 7 decimal places.\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:06 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31122329.\nAnswer: 7, 4446047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:59 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 254698a34 + -4?\nAnswer: 254698a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) 9 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4) - 264\/(-48). What is the first derivative of 39*u**i - 14 + 6 - 6 - 16*u**4 wrt u?\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/15)\/(38\/10). Which is the biggest value? (a) 9 (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -917da1 (base 15) to base 6.\nAnswer: -404050341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 22. Let p = -41 + -13.4. Let u = -57 - p. Sort u, g, -1.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 72*t + 72*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3 + 3. Suppose 0*f = -g*f + 12. What is the smallest common multiple of f and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -65001*m**2 + m + 2. Suppose 0 = 4*z + z + 35. Let f = -5 - z. Let v be t(f). Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26501 divided by -434\nAnswer: 26501\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 + -83. What is the remainder when u is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(4 + -6) - 7. Let w be 1\/13*(2 + 0). Is w greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 592555355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -138\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -7472358\nAnswer: -747235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47774.25304 - -0.08.\nAnswer: -47774.17304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2083*v + 2289*v + 4136*v - 3 - 185*v.\nAnswer: 8323*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:45 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -183, -242, -301, -360?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.889 - -472.889. Let k = u + -486. Put k, 0.1, 3 in increasing order.\nAnswer: k, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10018465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2979741470?\nAnswer: 2, 5, 17, 233, 75227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - -0.05. Let j = -0.0844 - 4.2156. Let u = j + v. Round u to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 1*(-1 + sqrt(468))))**2 + (-6*(sqrt(468) + sqrt(468) + sqrt(468) + -2*(1 + sqrt(468)) + sqrt(468) - (-1 + 1*sqrt(468))))**2 + -4.\nAnswer: -480*sqrt(13) + 18756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11 + 6*u - 4 - 24 - 15*u. Let t be o(-13). Let s = 112 - t. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8593514 divided by 2\nAnswer: -4296757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2160, -4320, -6478, -8634, -10788, -12940, -15090?\nAnswer: -17238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from kkakaaaavkvkkvaaka?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0502702178 rounded to 3 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12908 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 254?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 9) + 1 + (-2 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 3*r + 2*r)*(r - 2 + 2)*(r - r + 2*r**2) in the form q*r**4 + i*r**3 + s + k*r + y*r**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.03, -70 in descending order.\nAnswer: 1, -0.03, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 207?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l - 16. Let p be t(5). Which is the closest to p? (a) 1 (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120395.9 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -1 - (-21 - -31). Let b be (-33)\/a + 8\/10. Solve -2*s + 8*o - 35 = b*o, -s + o - 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 6, -6, -5022, -3 in ascending order.\nAnswer: -5022, -6, -4, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 v when four letters picked without replacement from ccvvccvvvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:43 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 5:43 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 9, -2 in increasing order.\nAnswer: -14, -5, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46951737 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - -108. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j - 23\/6*j**3 - 1\/12*j**4 + 0 - 68*j**2. Let z(o) = o**2. Determine x(z(l)).\nAnswer: -2*l**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13967b (base 12) to base 9.\nAnswer: 548275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 2357718?\nAnswer: -2357717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/2496*117\/(-30)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let m be ((-42)\/y)\/((-2)\/2). Suppose -1 = p - m. Solve 3 = -5*i + p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 16*l**2 - 27*l - 9. Let u be z(14). Suppose -u*m + 2*m + 12 = 0. Put 7, m, -4, -1 in increasing order.\nAnswer: -4, -1, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -6. Solve u*y = 4*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 213, 4, -4 in increasing order.\nAnswer: -4, 4, 156, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2404 * 0.5\nAnswer: -0.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.065 (b) -0.027 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20765213 is divided by 138.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y**2 - 95*y**2 - 2*y**2.\nAnswer: -122*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k**3 + 1230*k - 1230*k.\nAnswer: 87*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 52. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**49*((i**(-1)*i)\/i)\/(i\/(i**(-1\/6)*i)))**7 assuming i is positive.\nAnswer: i**(2009\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -21*l + 225 + 459 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42888.9083 minus 0.5?\nAnswer: -42889.4083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39050*r**2 - 33135 wrt r.\nAnswer: -78100*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885730 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**31*s**(-6\/7)*(((((s*s\/(s*s**(-1\/8)*s))\/s)\/s)\/s)\/s)\/((s\/s**(-14))\/s) assuming s is positive.\nAnswer: s**(-2729\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/6*n**3 + 0 + n + 0*n**2. Let m(z) = z. Determine c(m(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53 - (-10 - -8)\/(2\/(-2)). Let n = -49 + x. Suppose w - 4 = -2*g, 2*g - 3*w - 4 = -2*w. Solve -n*z - 8 - g = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3538769*f**3 - 47904979*f wrt f?\nAnswer: 21232614*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -1\/40*y**5 + 1\/720*y**6 + 0*y + 8*y**2 + 0 + 0*y**3 + 0*y**4. Factor h(f).\nAnswer: f**2*(f - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 - 8907*m - 80082 = 0 for m.\nAnswer: -8898, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 1410*y**2 + 130032*y.\nAnswer: 3*y*(y - 344)*(y - 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167\/45 - 28\/9. Let x = -0.2 - -1.2. Let z = 1 - x. Sort z, 5, m in descending order.\nAnswer: 5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 13*n - 2*t = -4, 0 = -4*n - 2*t + 34. Solve 0 = -n*d - 19*d + 174 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 277704947?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdbbrbrbrbbbbbrbrdb. Give prob of sequence bb.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11570?\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*k + 448 = 291*k. Let c be 10*(-1 - 0) - 2. Let y = c - -19. What is the highest common factor of k and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/((-22 - (-20 + 9)) + 10)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddexdxoxxxnoo. Give prob of picking 1 x and 1 d.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200534261.\nAnswer: 17, 11796133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*d**2 + 36*d**2 + 2 - 17*d**2)*(122*d**2 - 379*d**2 + 155*d**2) in the form l*d + q + y*d**3 + o*d**4 + x*d**2 and give x.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1298 + -1298.1. Put -3\/7, -33, t in increasing order.\nAnswer: -33, -3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let j be s(-4). Suppose -3*h = -2*h - j. Solve 0 = 3*z - 3, h*q - 3*z = -0*z + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52b05b (base 12) in base 16?\nAnswer: -13e887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2785 = 3*l - h - 2794, 0 = -4*l - 3*h + 7417. Is l a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or 10409?\nAnswer: 10409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 31 - (2 + -2 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 7*z**2 - 4*z + 1. Let q be v(6). Let m(u) = -195*u - 2. Let t be m(-5). Let s = q + t. Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*g - 18*g + 21*g)*(6 - g - 6)*(-4 - 1 + 3) to the form q + t*g**2 + y*g and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -199*b - 118*b + 424*b - 188*b + 21. Let d(o) = 16*o - 4. Determine -21*d(h) - 4*m(h).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/6 - 1555*h**2\/6 + 87667*h\/6 - 419659\/2.\nAnswer: (h - 1497)*(h - 29)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2597*a + 189570. Give l(73).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34322 + 34322 + 366*r)*(3*r + r + 4*r) in the form u*r**2 + s*r + d and give u.\nAnswer: 2928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7469 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwmmwwcwmmc. Give prob of sequence mww.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (41 + -44)*((-1 - 0) + 0). Suppose v*w - 3*h = 1018 - 397, 0 = -3*w + 5*h + 617. What are the prime factors of w?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13087846?\nAnswer: 2, 19, 344417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 639093943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-60)*778*(-6)\/(-16). Let d = -96 - a. Suppose -3*p**2 - d*p**3 - 1\/2 - 9\/4*p = 0. Calculate p.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**2 + 73*r**2 + 84*r**2.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/3))\/(h**(-5\/2)*h))**21\/(h**(-1\/4)\/(h**(1\/3)\/h))**(-1\/24) assuming h is positive.\nAnswer: h**(13109\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168659?\nAnswer: 23, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**2*p**3*z**2 + g**2*p*z**2 - 144*g**2*z**2 - g**2*z - 236*p**3*z**2 + p**2*z**2 wrt p.\nAnswer: -6*g**2*z**2 - 1416*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -0.8, 0.1 in decreasing order.\nAnswer: 0.1, -0.5, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Differentiate 1 - 6 + 8 + 8*v**s wrt v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*q**2 + 3 - 20*q**2 - 557*q**2 - 3.\nAnswer: -1140*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 19*j**2 + 16*j - 80. Let l be o(-20). Let m = -2522 + 25263\/10. Find the common denominator of m and (-5)\/(-70)*-97 - l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3990, -3994, -3998?\n\"Answer: -4*n - 3986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95564759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-2 + (sqrt(1900) - (-4 + -2 + sqrt(1900) + sqrt(1900))))*-6 + -4)**2 + 5)*2.\nAnswer: -5520*sqrt(19) + 137868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:56 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*d = -103*d. Let o be (-1)\/(0 + (-2)\/12). Suppose d = -v - o + 17. What is the remainder when 30 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 733*a**2*h**3*u**3 + 997*a**2*h**3*u**2 + 2*a**2*u**2 + 13*a*h**3*u**2 + 4*h**3*u**3 wrt u?\nAnswer: 4398*a**2*h**3 + 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-38 - (2 - 19))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 310 - 195. Calculate the highest common factor of k and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 59. Let d(t) = t - 60. Let x(b) = 3*d(b) + 2*o(b). Let c be x(20). Suppose -s + 5*s + 28 = -3*q, s + 4 = 0. Put 2, q, -7, c in descending order.\nAnswer: 2, c, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/17000 and -117\/17438600.\nAnswer: 87193000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:34 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 5*z + 0*z)*(-1 - 3 + 1) + 1017*z - 498*z - 227*z + (-4 + 3 + 0)*(-z - z + 0*z).\nAnswer: 297*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/((-40)\/18 - 6\/(-27)). Let d be (54\/9)\/((t\/8)\/1). Let y(c) = -1 + 4*c + 0*c - 3*c. Determine y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -580*q - 1872 - 1884 + 3756 - 1684*q + 4067*q**2 wrt q?\nAnswer: 8134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7436 - -4236. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496, -738, -896, -928, -792, -446, 152, 1044?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/2 + 195957*a\/2 + 49482435 = 0. Calculate a.\nAnswer: -64810, -509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -89, -201, -367, -593, -885?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z + 6. Let j(k) = 6*k - 1. Let d(u) be the third derivative of u**4\/4 - u**3\/6 - 170302*u**2. Calculate z*j(f) - 3*d(f).\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 466.264 - 469. Let f = v + 2.29. Round f to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474760774 plus -5?\nAnswer: 4474760769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*b - c, 3*c = 68*b - 65*b - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/8 + (-1540)\/(-80). Suppose q*k - 2*k = -3*k. Solve 4*g + 20 = -k*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 53 + 123)*(-c - 3*c + 6*c) in the form k + n*c and give n.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-1)\/(2\/6). Let s(h) = 2*h - 8. Let a be s(5). Suppose -y - 10 = 4*r, -3*r + 3*y + a = -r. Put r, q, 1 in decreasing order.\nAnswer: 1, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1 + (-4 - -5). Let z(g) = -1 - 19*g - 4 + 12*g. Let i(a) = a + 1. Calculate o*z(y) - 6*i(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuubbbbbbuuibxunbxu. What is prob of sequence xxub?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62184948 is divided by 1413294.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 1 o when three letters picked without replacement from {o: 3, i: 2, k: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/8 - 39*g**2\/4 + 507*g\/2 - 2197.\nAnswer: (g - 26)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10102466 or 1?\nAnswer: 10102466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rca when three letters picked without replacement from {c: 3, r: 5, a: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 208009.02 hours?\nAnswer: 8667.0425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5\/6*p**3 + 5\/2*p**2 + 0 + p. Let v(w) = -4*w - 4. Let j be (144\/15)\/3 - (-28)\/35. Give j*v(c) + 3*f(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 - m**4 + 0*m**3 + (5*m**2 - m**2 + 28*m**2)*(-4*m**2 - m**2 + 8*m**2) as l + f*m + i*m**2 + s*m**3 + h*m**4 and give h.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from lqldlllllqdlldldqql?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(39)\/(sqrt(108) + 1*sqrt(108)) + 4)**2 - (4*(sqrt(78) + 1*sqrt(78) + sqrt(78)))\/(sqrt(216)\/sqrt(4))).\nAnswer: -10*sqrt(13) + 2317\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-1\/5))\/c)**(-46)\/(c**(-5)\/c)**(-13\/3) assuming c is positive.\nAnswer: c**(-406\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 720, 691, 662, 633, 604?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2. Let z(g) = -7*g + 8*g + 17*g. Let v(k) = -11*k - 4*k + 6*k. Let o(u) = 9*v(u) + 4*z(u). Give i(o(x)).\nAnswer: -405*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 24. Let u(q) = 21*q + 10. Let h be u(i). Is 4 a factor of (h\/12)\/((-2)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -70, -74, -80, -88, -98, -110?\n\"Answer: -z**2 + z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229471807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:44 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = y, -21 = -t - 3*y - 3. Find the first derivative of -t - 13 + 20 - 5*u wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(180\/80)*(-30)\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, 171720\/13.\nAnswer: -4, -1\/2, 171720\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*m**3*t**2 + 2*m**2*t**2 + 34*m*t + 2*t**2 wrt m?\nAnswer: 1608*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/8)*r*r)\/(r\/r**(-6\/5))*(r**(2\/7))**(-48))\/(r\/(r\/((r\/(r*r**(1\/17)\/r))\/r))*r*r*r*r**(-2\/3)*r*(r*r**(-1\/5)\/r)\/r*r**(-5\/2)) assuming r is positive.\nAnswer: r**(-38881\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/(-8) - 4)*1. Let t = -11 + 6. What is the closest to 0.1 in t, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-7)\/w)*w))\/(w**9\/w)*w\/w**(-5)*w\/(w\/(w\/(w\/(w\/((w**(-19)*w)\/w)))*w)))**(-1\/17) assuming w is positive.\nAnswer: w**(-10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*q - 16. Suppose -q*r + 2110 = -3*r + b, 3*r - b - 3160 = 0. Suppose -2*j + j + 1051 = 2*i, -2*j - r = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 + 196. Let h = -34 + z. Let d = 81 - h. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 2*g - g - 4*g. Let c(y) = -8*y. Determine h(c(f)).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from gggggaegage.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -424 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 14, k: 5}. Give prob of sequence gkf.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a, -7*j - 9*a - 8*a + 24*a = -2*j + 8*a - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -474.7 + 475. Sort 10, c, 1\/2, -0.4.\nAnswer: -0.4, c, 1\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131651700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 21. Let w(j) = -3*j + 14. Calculate -5*v(c) + 8*w(c).\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, -q - 27 = -2*q - 5*x. Suppose -30*r + q*r + 312 = 0. Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 16) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -60116.31719 rounded to the nearest one thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3 times 258982?\nAnswer: 1890568.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7812451 by 2.\nAnswer: 7812451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**4\/4 + 7*a**3\/3 - 7*a**2\/2 + 3*a + 1. Let k = 19 - 13. Let c be v(k). Let o(l) = l**3 + 5*l**2 + 4*l. Give o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -163018*o - 72. Let i be f(-4). What is i rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 (base 15) in base 9?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2970549*-30.\nAnswer: 89116470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aau when three letters picked without replacement from {u: 13, a: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6014 and 61\/3880.\nAnswer: 120280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 28. Let k be p(7). Round k to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032233003 + -103?\nAnswer: 2032232300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 5*p**2 + 3*p - 4. Suppose -3*r - 2 = 5*b - 10, -2*b + 14 = 3*r. Let i = 11 - r. Calculate the remainder when y(-6) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 6*g. Suppose 0*o - u = -3*o + 11, g = -3*o - u + 19. Solve 0 = -r - o*f + 20, -5*r - 2*f = -0*f - 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -68, -163, -316, -539, -844, -1243, -1748?\n\"Answer: -2*i**3 - 11*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-24)*(0 + -16). Let b be i\/(-4) + 4\/(-2). Suppose -z = b*z. What is the third smallest value in -2, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 1122, 2511, 4456, 6957, 10014, 13627?\nAnswer: 17796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*d - 87 + 76 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32934641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12160 (base 14) in base 4?\nAnswer: -22302120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - ((-2 - 73) + 45).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 8\/19 in increasing order.\nAnswer: -4, 8\/19, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8 + 0 + 4*b - 3*b**2 + 1 - 4 + 3*b**3. Let o(n) = 13*n - 9. Let m be o(1). Let v(d) = 7*d**3 - 7*d**2 + 9*d - 23. Calculate m*v(k) - 9*u(k).\nAnswer: k**3 - k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -7, 1, -491 in descending order.\nAnswer: 24, 1, -7, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-5))\/i*i*i*i**(6\/5))\/(i*i**7)**21 assuming i is positive.\nAnswer: i**(-799\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 4) to base 10.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 8*h**2 + 6*h - 14. Let o(f) = -f**2 - f + 1. Let p(d) = 104*d - 1138. Let j be p(11). What is j*o(t) + m(t)?\nAnswer: 2*t**3 + 2*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o - 1. Suppose -5*z - n = 7, 2*n - 5 = -5*z - o*n. Which is bigger: -13\/8 or z?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 - 90*k**2 + 3864*k + 16928 = 0 for k.\nAnswer: -4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/3, -3, 1, -990 in descending order.\nAnswer: 1, -2\/3, -3, -6, -990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:29 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*l + 3218 - 3662 + 2124 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-8)\/p*p)\/p*p**(1\/3))\/(p*((p*((p\/(p\/p**0))\/p)\/p)\/p)\/p*p**(-3\/8)))\/((p*p**1)**(-2\/7))**(-32) assuming p is positive.\nAnswer: p**(-3961\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -39.575?\nAnswer: -39.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1890215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3272100 is divided by 90890.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54442 and 39.\nAnswer: -2123238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136398 or 136399?\nAnswer: 136398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:28 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 - 3*i**2 + 0*i**2 - 49*i**3.\nAnswer: -49*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 4 - 2*t**2 + 9 + (7*t - 7*t + 7*t**2)*(-2 - 2 + 5).\nAnswer: 5*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0785 to two dps.\nAnswer: 11.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260396 is divided by 775?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-1)\/12)\/((-2)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1257873 and 1272.\nAnswer: 533338152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95065086.\nAnswer: 2, 3, 103, 199, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*(19 - 11). Suppose 4*l - 10 = -3*a, 2*l - 4*l - 4*a = 0. Find the first derivative of -l*x + n*x - 2 + 5 - x**3 wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**31)\/g*g**(-6) assuming g is positive.\nAnswer: g**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*k - 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:50 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 1, m: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130209901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -164307 (base 8) to base 5\nAnswer: -3401331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 - 7*m - 4. Give h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10591820017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-1))\/(14 - 13). Which is the third biggest value? (a) 0 (b) -44 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 934c + -d06?\nAnswer: 8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148561614 or 148561625?\nAnswer: 148561614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t - 2*b + 2038, -656 = -t + 4*b. What is the highest common divisor of 52 and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, r: 5, f: 1}. What is prob of sequence rrrf?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 721 and 66250733?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -248*5\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose -r*p + 24020 = -2*o, p - o = 5*p - 48050. Suppose -3*l - 4*b = p, -2*l - 3*b + b - 8006 = 0. Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 664616 - 1591090631\/2394. Calculate the common denominator of 29\/171 and s.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005205369 to 6 dps.\nAnswer: -0.005205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*g + 10 = 0, 10*g = -h + 13*g + 11. What is the second smallest value in h, -36, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -2*(sqrt(104) + sqrt(104)*2) + -6*(sqrt(104) + sqrt(104) + 1*sqrt(104) + sqrt(104)))\/(sqrt(24)\/(sqrt(15)\/(sqrt(30)\/sqrt(6)))).\nAnswer: -29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - 3*k**5 - 3*k**5 - 5 + 5 - k**5 + 0 + 0 + k**5 + (-3 + 2 + 3)*(-k**5 + 1 - 1) - 2*k**5 - 4*k**5 + 5*k**5 - 21*k**3 + 21*k**3 - 3*k**5.\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/328 and 55\/14?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 15*d = -24. What is the least common multiple of d and (-2)\/6 + 56\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**6 - 3*d**4 + 5*d**2 - 13*d wrt d.\nAnswer: -1200*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/(11\/2 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3, 0.2, -2, -4, -248?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332363 is divided by 3462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(-21*58\/6090).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2275*i**2 - 12*i + 16 wrt i?\nAnswer: 4550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f**2 - 30*f + 78. What is the remainder when 92 is divided by h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 4 = 3*w - 11*b, b - 4 = -0*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6*j + 13. Let p be s(7). Solve i = 6*i + p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16514141 (base 7) in base 3?\nAnswer: 10001011112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*z + 30085 + 56327 + 81580 = 0. Calculate the remainder when z is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*x - 0*a + 20, 0 = -4*x - 4*a + 16. Suppose 2*k + x - 10 = 0. Let h be (-1)\/k + (-26)\/(-6). Solve -2 = 3*b - h*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 3 = 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x - 9. Let i be r(7). Let b = 39 + -22. Calculate the highest common factor of i and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 49319351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*y - 17. Suppose -2*j - j + 37 = 5*u, 0 = 2*j + 3*u - y. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 43 = x, 465*z - 462*z - 5*x - 39 = 0. Solve 5*u - u - 4*p + z = 0, 0 = -3*u - 4*p - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyz when four letters picked without replacement from yzzzyzyyzzzzzzzyzyz?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93267206.\nAnswer: 2, 619, 75337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47414.0289446 + 47414. Let b = o - -0.0292. What is b rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iafsasttsssssstaaass. Give prob of picking 1 t, 1 f, and 2 s.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113 + 606*g - 113 + 27425*g + 624*g + (1 - 2 + 2)*(-3*g + 4*g - 2*g).\nAnswer: 28654*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 156 = -153, -11650 = -5*h - 5*y. What are the prime factors of h?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 39 - 9 - 3*x**2 + 11 as m + u*x + k*x**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 21161.\nAnswer: -21161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*h + 5 + 12, -i + 14 = 2*h. Let n = 8 - h. Let a(k) = -k**3 - k**2 - k. Let o(d) = 4*d**2 + 4. Let c(l) = -a(l) - o(l). What is c(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -23, 1 in ascending order.\nAnswer: -23, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15533)\/6657)\/(14\/162)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 263.\nAnswer: -78.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times 88\nAnswer: 246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (667*g - 113*g - 158*g)*(-2 + 3 - 2) + (-2 + 2 - 1)*((2 - 2 + 2*g)*(2 - 3 + 3) - 3 - g + 3).\nAnswer: -399*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -27*t**2 + 3*t - 5. Let b = -10 + 17. Let c be s(b). Let r = 1967 + c. Round r to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2. Let b be 15\/(-6)*(-36)\/5. Let g(y) = -18 + 15*y + 0*y + b. Calculate o(g(l)).\nAnswer: -225*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3622 - -3618. What is the third biggest value in -1, -11, l, -2\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/29 in -0.1, 7, -511?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4410, 4411, 4412?\n\"Answer: y + 4409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.157946? (a) 1\/3 (b) -1 (c) -29\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 133217 (base 8) to base 15\nAnswer: dcaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 + 7?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15931?\nAnswer: 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66300190493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**4\/2 - c**3\/3 + 2*c - 2. Let n be b(-2). Is 3*(-2)\/(-12)*n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 60827470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(-3*m**4 - m**4 + 0*m**4) + 110*m**2 - 110*m**2 + 13*m**5.\nAnswer: 21*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 128\/5 - 4\/(-10). Let f be (-108)\/p - 22\/(-143). Let j = 120 + -124. Is j at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14018 is divided by 96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**2 - 270110*v - 90035.\nAnswer: -5*(v + 18007)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105052 + 1?\nAnswer: -105051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215.688 + -214. Round r to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.136 + 106.864. Let b = -107 + s. Which is bigger: b or -30?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 132*g**2 - 125*g + 2371. Calculate d(-133).\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -2*(-3)\/(-2). Solve -5*d - f - 12 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cecr when four letters picked without replacement from errkrkceerrck?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e753 - -1c?\nAnswer: -e736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 35 = -13*a. Solve 0 = -a*m + 3*d + 29, -3*d - d - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s + 129. Determine x(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/12)\/((-1)\/(-12)). Let v be (-28)\/(-5) - p\/(-10). What is the third derivative of -v*d - 2*d**2 + 5*d + 3*d**5 wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 3838.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 183 = 3*s. Calculate the common denominator of -77\/10 and 3\/(-2) + 738\/s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2 + -3) + (-75)\/((-450)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496797 and 5691?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i - 5*g + 38, -4*i - g - 194 = 0. Calculate the common denominator of 1 + 82\/i*(-2 - -4) and -127\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 235 = 730. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 37. Determine n(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 - l**2 - 2 - 2*l**3 + 0 in the form z*l**3 + q*l + a + j*l**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35011)\/2676 - 13*-1. What is the nearest to -272 in -1\/2, j, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23634 - 23601. Calculate the remainder when 10097 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -2. What is the least common multiple of 15*b*2\/(-10) and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.77693836 from -37.\nAnswer: -58.77693836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 4*g**2 + 8*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -642775*y**6 + 9121*y**2 - 25*y wrt y.\nAnswer: -77133000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5}. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 453\/27 - 6\/(-27). Let k(a) = 5*a + 4. Let l be k(-3). Let w = m + l. Solve w = 2*x + j, x - 3*j = -0*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 - 595 - (1 - (-1 + 1) - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 167?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**5 - 13*l**3 + 3*l**2 + 2*l + 3. Let c(k) = -5*k**5 + 12*k**3 - 2*k**2 - 3*k - 2. Let q(d) = -3*c(d) - 2*o(d). Determine b, given that q(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-7)\/(-42)) + 2\/(-1). Solve 5*z - 2 = t*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let r(z) be the third derivative of 23*z**4\/24 + 224*z**2. Calculate r(c(h)).\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1561 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 352674911 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/12 - -3)*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/57 and -58\/33?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 22.9, -5, 0.001, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27388 rounded to the nearest 100?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (8*2909988\/24 - -10) + -7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 707\/2, 4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let h be (-2)\/(-15)*26*30\/48. Let i = h + -89\/30. Put -4, n, i in descending order.\nAnswer: n, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - i + 73, -28 = -2*j - 2*i - 2. Suppose 4*u - 3*d - 11 = 0, -u = -5*d - 9 - j. Let t be u*(-63)\/24 - 2. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 19. Let r(k) = -36*k - 31*k + 57*k - 2. Let z be r(a). Solve -4*b + 2*u = z + 6, 5*b + 16 = 4*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(3\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 10*i**2 - 37*i**2 + 4*i**2 + 8*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/8 + 2*q**3\/3 + q**2 + 2125. Let d(a) = -a**2 + 13*a + 15. Let l be d(14). Give j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s\/(s**(-33)*s*s))*s**(-2\/29) assuming s is positive.\nAnswer: s**(-901\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 183, -14, 1.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 18 = -4*q - w, -3*q = 5*w - 18. Solve q = -l + 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4 - 0. What is the smallest common multiple of 9 and w\/(-8)*(-9 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54097 (base 13) to base 10.\nAnswer: -151717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3290 - -4949. Suppose k - 5*l - d = 0, 3*l - 4*l - 6560 = -4*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -596?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -9*p**4\/8 - p**3\/6 - 19*p**2. Let h(c) = -9*c. Let s(l) = -8*h(l) + 3*o(l). Let y be s(-1). Solve 5*t = y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*g - 15, 3*g + 10 = -3*h + 5*g. Let b be 1\/(h\/3 - -1). Suppose 3*w - 13 = -b. Solve w = -q - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*p - 19, -91*p + 35 = -5*z - 96*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4*m + 6. Suppose 2*g + 16 = 5*d - 3*d, -2*d + 5*g + 28 = 0. Suppose 7*h - d*h - 30 = 4*n, h - n - 9 = 0. Calculate j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from fffnnffnffffnfnmf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let n be (-1)\/4 - 21\/m. Solve -4*j + 3*l = j + 30, 0 = j + n*l - 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttchc. Give prob of picking 1 c and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1382*r - 154. Let t be v(-1). Calculate the greatest common factor of 8 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 3*b**2 + b. Suppose -5*d - s = 4*s - 15, d - 3*s - 3 = 0. Let v be h(d). Is ((-3678)\/(-8))\/(v\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 5*t + 6. Let i be y(-2). Suppose i = -h + 6*h + k + 551004, 0 = -2*h - 2*k - 220408. What is h rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 692 or -4796\/5?\nAnswer: -4796\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -187, -178, -167, -154, -139?\n\"Answer: m**2 + 6*m - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 9*l + 5. Let k be m(-9). Suppose -48 + 8 = -k*h. Solve 4*z + h = -12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*f + 15 = 566*f, 2*y + 4*f = -60 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*((-12)\/15)\/1. Let h be ((-1)\/(-3))\/(4\/108). Let d = v + h. Is 6 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3709297042?\nAnswer: 2, 11, 168604411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01908 to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -36. Let v = 7 + h. What is the greatest common divisor of v and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 10796 = 3*u. Let l be ((-24)\/(-28))\/(1\/u). Is 2\/4 - l\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-7) - 64\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/2256*24)\/(1*3\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3094.3*0.0036.\nAnswer: -11.13948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-41)\/6 + 2\/(-12). Let q(j) = 2*j**2 + 10*j - 3. What is the remainder when 72 is divided by q(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/7 + 5 + (-550)\/70. What is the nearest to 10 in h, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 341376.\nAnswer: -341376.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217.4 + -207. Let a = -5 + 3. Let t = k + a. What is t rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1793 + -3581\/2. Suppose -7*q = -2*q. What is the closest to -0.1 in -18, s, -3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + v - 6 = 0, 4*k - 3*v = 5 - 2. Suppose -2*u + 454 = 4*z, 121 = z + u - k*u. What are the prime factors of z?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101020021011 (base 3) to base 13.\nAnswer: -70891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/5 + 34449*r**2\/5 - 3110016*r\/5 = 0. Calculate r.\nAnswer: 0, 91, 11392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**3 - 2*w**2 + 4*w - 2. Let m(d) = -13*d**3 - 3*d**2 + 6*d - 3. Let t(a) = 5*m(a) - 8*z(a). Give t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 830 = -1375 - 2767. What is the remainder when t is divided by 83?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-25)*r**(-5)\/(r*r*r**(-1\/6)*r) assuming r is positive.\nAnswer: r**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -118126? (a) 0.1 (b) -0.037 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/5? (a) 208 (b) -0.05 (c) -2\/13 (d) -0.1 (e) -0.2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -802 - 793 + 2389 + 2482*l**2 - 794 in the form y*l + m*l**2 + t and give m.\nAnswer: 2482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m**2 + 66*m - 45. Let y(k) = 5*k**2 + 22*k - 16. What is 4*f(w) - 11*y(w)?\nAnswer: w**2 + 22*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/3 + 818*h\/3 + 1640\/3 = 0.\nAnswer: -2, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 221\/1870*-11*4\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 24. Give z(13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(((-350)\/(-105))\/(30\/(-12)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**5 - 3*h**5 - h**5)*(-4 + 4 - 1) + (-1 + 1 + 3*h)*(3*h**4 + 68*h - 68*h).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - -3) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940\/282*16\/(128\/36).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25540323911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -961460 and -0.07?\nAnswer: 67302.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6574823\/24107644 - 1\/2191604. Let w be (-2)\/(-4) - (-23)\/(-22). What is the third smallest value in 5, g, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4229 - 0.419. Let x = -0.1961 - s. What is the closest to -1\/3 in -1\/4, 0.5, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 4*h + 7, h + 11 = 5*p. Suppose -63 = -0*a - p*a. Calculate the remainder when 83 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 2)*(1 - 1 + 2)*(-2*n + 5*n - 4*n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 + 40 = -75*v - x, -19*v - 2*x - 14 = -17*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507853357?\nAnswer: 11, 46168487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169729 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2515*d**2 + 7561*d**2 - 2523*d**2 - 2210*d - 2518*d**2.\nAnswer: 5*d*(d - 442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*20 - 1 - -2. Let r = -11 + s. Let q = -77 + r. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58107, -62999, -67891?\nAnswer: -72783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363 + 1363 - 49365*b + 49365*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((5 + -6 + 3 - 7) + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*l + 63, -4*j + 3*j = 4*l - 24. Let x(q) = 12*q**2 + j*q**2 - 25*q**2. Let d(m) be the third derivative of m**5\/10 - m**2. Determine x(d(z)).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.725 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkklkkkkk. What is prob of picking 3 k and 1 l?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*a + 84 = 0, -4*v - 3*a = a - 208. Suppose -5*s - 17 = -v. Suppose 0 = -0*d - s*d + 540. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429.3851 rounded to 1 decimal place?\nAnswer: -429.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*r - 53*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1272399 and -37\/34221.\nAnswer: 13996389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*p**3 - 151*p**3 + 596*p**3 - 234*p**3.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*o = -28, -13*a = -17*a - o - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 240, -2, -154, 3 in decreasing order.\nAnswer: 240, 3, -2, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12905846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383214288 to the power of 1\/2, to the nearest integer?\nAnswer: 58165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*o - 182*o - 3*l + 94 = 0, 4*o - 76 = -2*l. Which is the third biggest value? (a) -0.27 (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 7*n - 9. Suppose -8*m = -n*m - 25. Solve -m*h = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/15 - 4564*i\/15 + 21168\/5.\nAnswer: 2*(i - 2268)*(i - 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1691*r + 582*r + 2646 = -573*r - 585*r for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a - 6*a + 132. Solve -12 = -a*t - 0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -213183 and -224.\nAnswer: -213407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51287000 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/165 and -95\/7128.\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 95*s**2 + 75*s - 2054. Determine i(-96).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/6)\/(3\/(-30)). Let i(y) = y**3 - 6*y**2 - y - 15. Let g be i(7). Suppose -4*u + 0*u + t*o + g = 0, -75 = -5*u - 2*o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/29)\/(l**35\/l) assuming l is positive.\nAnswer: l**(-988\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 47*k**2 - k**3 + 6 + 51*k**2 - 20. What is the remainder when 217 is divided by z(-3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-3 + 8 + 1). Let i = -2\/3 + w. Suppose 1\/2*y - 1\/2*y**3 + 0 + i*y**4 - 1\/2*y**2 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-24)*-6 + (-19)\/12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/16 and -127\/308.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {l: 1, k: 3, w: 1, u: 3, m: 3, j: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -3 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*u - 4*b, -u - 4*u + 61 = -b. Suppose -60 = -u*y + 7*y. Calculate the least common multiple of y and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbzccbcbcpq. Give prob of sequence zc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2\/9 + 8362*g\/3 = 0?\nAnswer: -12543, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4097, 3832, 3575, 3332, 3109, 2912, 2747, 2620?\n\"Answer: f**3 - 2*f**2 - 266*f + 4364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1683 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:11 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132133 + 1002?\nAnswer: 133201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 409\/12749?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.114 - -1.114. What is the second smallest value in y, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8864)\/(-3878) - (-6)\/7.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24914155621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/3 + 156*t**3 - 945*t**2 + 1422*t = 0. What is t?\nAnswer: -474, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22a5b43 (base 12) to base 10\nAnswer: 6687267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 1, -1 in increasing order.\nAnswer: -5, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*m + 771 - 771 as i + a*m and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180455.4 minus 2?\nAnswer: -1180457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 - 53*d - 330. Give p(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + u - 2. Let f be g(2). Let q be (-4 + 2)\/((-10)\/4). Let v = 1 - 4. Which is the closest to -0.2? (a) f (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -258 + 344. Let a be 0 - (-5 - -4)\/((-2)\/g). Let n(r) = -5*r**2 + r - 2. Let s be n(3). Which is greater: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2970, 2988, 3018, 3060, 3114?\nAnswer: 3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 300, 711, 1318, 2139, 3192?\n\"Answer: 3*k**3 + 71*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1148199, -2296398, -3444597, -4592796, -5740995?\n\"Answer: -1148199*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 16, y: 4}. What is prob of sequence yycy?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 1744.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98f (base 16) to base 10.\nAnswer: -2447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) 5740 (c) 433\/5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040011 (base 6) to base 15.\nAnswer: 10567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*r**4 + 17*r - 9.\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2. Let t be 114\/27 - 4\/18. Let r = t + -4. Let o(l) = -2*l + r*l + 0*l + 4*l. Determine o(w(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1987b (base 13) to base 3.\nAnswer: 2112022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -20*w - 2. Let a = 7 - 8. Let n be h(a). What is the highest common divisor of 45 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*j**2 + 1 - 10*j**2 - 6*j**2 as d*j**2 + k + f*j and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - f = -12*u - 4484, 0 = -5*f + 25. Suppose -5*i + 2*d = -1491, u = -4*i + 9*i - d. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {u: 1, t: 2, s: 1, r: 1, o: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8022, 8149, 8274, 8397, 8518, 8637?\nAnswer: 8754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 3 + -4 + -52 - -10.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 4*p + 0*p)*(-54 - 76 + 51 - 46) to j + s*p and give s.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -89*p + 724. Let f(w) = 22*w - 165. Calculate 4*a(u) + 18*f(u).\nAnswer: 40*u - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.64 - 2.2. Let f = j - -0.06. Which is the closest to 1? (a) f (b) -0.4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 8. Let d be 130\/14 + (-2)\/c. Let m(n) = n**2 - 5*n + 11. Is m(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/4 - 1079*x**2\/4 + 67120*x - 4857600 = 0. What is x?\nAnswer: 160, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z**3 - 3*z**2 - z + 4. Suppose -3 - 3 = 2*n. Let y(r) = -21*r + 432. Calculate the remainder when j(n) is divided by y(19).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2356\/3 - 785. What is the closest to c in 4\/9, -1\/9, -5, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 2*p**2 + 2*p - 1. Let a be x(2). Let y = 87481 + -86941. What is the highest common divisor of y and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*x + 3. Let p(r) = r**2 + 3 - x*r - r - 2*r. Suppose 4*y - 12 + 0 = 0. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 347*h**2 - 2*h - 3*h - 477*h**2 + 3*h.\nAnswer: -130*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*(-45)\/10. Let g(u) = -14*u - d*u + 9*u. Let o(h) be the third derivative of h**5\/60 + 5*h**2. Give g(o(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 d when four letters picked without replacement from dooddoddyoddododd?\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 u, and 1 o when four letters picked without replacement from {o: 3, v: 8, u: 5}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*u + 1 + (-3 + 3 + 1)*(u + 3 - 3) + 4 - 4 + u + 5 - 5 - 5*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3219844617 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1757, 3516, 5275, 7034, 8793, 10552?\nAnswer: 12311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 550*z**4 - 9*z**2 + 31.\nAnswer: 13200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13860 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a79828 - 2?\nAnswer: -a7982a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(24)\/(sqrt(108)*-5))**2.\nAnswer: -2*sqrt(2)\/3 + 5627\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 - c - 1. Let j(i) = -6*i**3 - i**2 - i + 14. Let x(b) = j(b) - u(b). What is the derivative of x(f) wrt f?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85211\/6 + -14167. What is the nearest to h in -0.1, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28251132711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 7) + -11 + 6 + -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16033668 divided by -3?\nAnswer: 5344556","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 6. Let v be w(3). Solve 0 = v*b + 6 - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3387*n - 320 + 20550 = -7496 - 9531 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -2437, -6487, -13909, -25813, -43309, -67507?\nAnswer: -99517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 2. Let n = -37 + 31. Let d be c(n). Let p be d\/(-3) + 2*(-3)\/2. Which is greater: -0.039 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3627 is divided by 723?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 26*q**2 + 26*q - 37. Let x be c(25). Let d be 21\/2*(-1 - -3). Let g = x + d. Are g and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*b = -3 - 19, 0 = 4*o + 3*b - 25. Let a be o\/18 - (-2)\/(-9). Suppose 2*n + 0*n - 46 = a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2653 * -2.\nAnswer: -5306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13649\/8 + 1704. Calculate the common denominator of 29\/10 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-764 + 764 + 67*h**3)*(2 - 4 + 0) + 4*h**3 + 23 - 24 - 2*h**3 - 2*h**2.\nAnswer: -132*h**3 - 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c - 2. Let x be 3*(-3)\/3 - 1. Let q be p(x). What is the units digit of (-2 + q\/10)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 8. What is the greatest common divisor of 152 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/6)\/(3*1). Let h(x) = x**2 - 3*x - 4. Let t = 8 + -4. Let q be h(t). Solve o + q - 5 = b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26829\/542)\/(18\/3)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) -2\/9 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56094682 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k. Let w(o) = 2*o - 4*o + 4*o + 5*o. Determine c(w(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*a + 69*a = -170. Let f(t) = t**3 - 4*t**2 - 6*t + 10. Give f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -46*r - 2939. Let w be z(-69). Solve 7*t - 221 = -w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4\/15 (b) 5 (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 68*p**5 + 332*p**4 - 40*p**3 = 0. Calculate p.\nAnswer: -5, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 456 and -0.08.\nAnswer: -36.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:01 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3228*c + 113097. What is n(-35)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1029 * -0.02\nAnswer: 20.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -98. Suppose 2*a + 9 - t = 0. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/6)\/(-5)*12. Let h be (3\/2 + -1)*s. Solve -4*g = 2*i, -i - h*i + 26 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -15, 2*d - 138 = -5*q + 3*d. Let y = 38 + q. Let i be ((-4)\/10)\/((-39)\/y). What is the third biggest value in -0.4, i, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Let o(l) be the first derivative of 6*l**3 + 5. What is o(x(n))?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2936 + 8*h - 1403 - 1525.\nAnswer: 8*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away -637?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(95)*4*2 + sqrt(95))*-6)\/((sqrt(500) + sqrt(500)*3*-3)*-2).\nAnswer: 27*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3679)\/(-849))\/(39\/126)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 31887137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(((-80)\/26 - -3)\/(-1)). Suppose -83*o - 3528 = -x*o. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022112020201 + 2?\nAnswer: -12022112020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271 (base 8) to base 11.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79452, 77842, 76222, 74586, 72928, 71242, 69522, 67762?\nAnswer: 65956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:43 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + 78*k**2 + 36*k - 93. What is w(-25)?\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3943063, 7886122, 11829177, 15772228, 19715275, 23658318, 27601357?\nAnswer: 31544392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 8*o + 24 = 0. Let y = o - 9. Suppose y*z + 12 = 21. Solve -z*a = 3 + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 9*h - 9. Let f(b) = 2*b - 5. Let o be f(7). Let r be y(o). Let x = 42 - 37. Put 1, x, r in ascending order.\nAnswer: r, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3.5, -6 in decreasing order.\nAnswer: -3.5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28940 by -5.\nAnswer: 5788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (68\/(-16) - -4) + 101\/4. What is the third derivative of -j**5 - j**5 - h*j**6 - 3*j**2 + 2*j**5 wrt j?\nAnswer: -3000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015247819511 rounded to seven decimal places?\nAnswer: 0.0015248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10464 and 370080?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**3 + 4*u**2 - 4*u + 4. Let i(k) = 6*k**3 + 5*k**2 - 5*k + 5. Suppose 23*c = 14*c + 36. Determine c*i(m) - 5*y(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122 - -10003202331?\nAnswer: 10003133203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1995\/(-46550)*-4*(-1)\/3.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((m*(m**(-6)\/m*m*m)\/m)\/m))\/m)\/m**(-3))\/((m**6*m)\/(m\/(m*m*m**(-4\/7)))))\/((m**(-1\/2))**(-22\/7)*(m*m**(-1\/7))\/m**5) assuming m is positive.\nAnswer: m**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24299\/112 - 1520\/7. Find the common denominator of h and 41\/274.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, q: 7}. Give prob of sequence lqq.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -519462 divided by -6?\nAnswer: 86577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223738.69828 - 223745. Let c = x + 6.3. Round c to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6568603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 24 + (16 - -15) + 89.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12700 + 12700.1. Put -56, t, -10\/3 in decreasing order.\nAnswer: t, -10\/3, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1615040 and -43\/3920.\nAnswer: 1615040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 236971*k - 10189724. What is w(43)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**(2\/15)\/i)\/i)\/i))\/i*i*i**1*((i\/(i\/(((((i*i**6)\/i*i)\/i)\/i)\/i*i)*i))\/i)\/(i**(1\/8)*i) assuming i is positive.\nAnswer: i**(809\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + k = 5, 2*h - 4*h + 4*k + 2 = 0. Let y = -0.1 + 0.4. Sort y, 2, h in increasing order.\nAnswer: y, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f - 1 + 1)*(-3 - 4 + 5) - 11 - 13*f + 5 + 4)*(3*f**2 + f**2 - 7*f**2).\nAnswer: 33*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7169.862 milliseconds to seconds.\nAnswer: 7.169862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19747)\/(-14) - 3\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1)*(-21)\/(-105)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 26. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 179124\nAnswer: 3\/59708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 5, 2, -2\/9, 4\/5, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, -4, 4\/9, -2\/11 in decreasing order.\nAnswer: 175, 4\/9, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/(3\/(-150)*10*-1)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 180 = -5*h, h - 4*j + 180 = 5*h. Suppose 0 = -h*n + 56*n - 21712. What are the prime factors of n?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380117085562 take away 0.4?\nAnswer: -380117085562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22010001220 (base 3) to base 13.\nAnswer: 578ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 - 3 = 0. Factor -2*x**j + 4*x**3 + 4*x**4 + 98*x - 3 + 1 - 102*x.\nAnswer: 2*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56751.36 centimeters to micrometers.\nAnswer: 567513600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/9070 and -197\/290640.\nAnswer: 263610480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 - 19 + 0*y + 7 - 2*y**3 - 2*y as w*y**3 + z*y**2 + f + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -3, -5.1?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3412, 6903, 10394?\n\"Answer: 3491*l - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*c - 52, -d - 2*d - 3*c + 69 = 0. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -416, -1092, -2066, -3332, -4884?\n\"Answer: l**3 - 158*l**2 + 95*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 6443 - 1396. Let q = x - 527. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*t - 194*t - 80*t**2 + (t - 4*t + t)*(2*t - 4*t + 0*t) + 0 + 13*t**2 + 0 - 3*t**2 + 0*t**2 + t**2 to k*t + z*t**2 + s and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5436930 and 142130.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 4780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.17, 0.5, 3, -1466?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18204360709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 450384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 5, 5.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1932139770, 1932139772, 1932139776, 1932139782, 1932139790?\n\"Answer: a**2 - a + 1932139770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179800 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:47 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -27384900 to the nearest 100000.\nAnswer: -27400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(-3 + sqrt(425))*1)**2.\nAnswer: -6750*sqrt(17) + 97650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 2 - -9)*(-15 + 16). Solve 9*t - 5 = -o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17072 + -16477. Solve 0 = -3*n - 610 + d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axx. Give prob of sequence xxa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 10 = 82. Let g = 0 - -2. List the prime factors of ((-8)\/q)\/(g\/30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 14*m + 546 = -11*m + 1826 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-3) + 1\/3. Let l = 37 + -31. Let m be (-40)\/(-15) + 2\/l. Solve m*i = 5*q + 6, f*q - 5*i + 3 = -2*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429418 and 97595.\nAnswer: 2147090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 26. Let n be 0\/(-3*1\/(-3)). Suppose 2*c + j = 2*j, n = -j. Sort b, c, -2 in ascending order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 41 - 8)*((1 + 3 - 3)*(3 - 2 - 3) + 0 - 1 + 3 - 5 + 1 + 2 + 4 - 5 + 6).\nAnswer: -6*n + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmfmvqvvvem. Give prob of sequence mq.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 243 = 6*l. Suppose -11*p + 223 = -239. Suppose -3*t + l = -p. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12244124 - 202?\nAnswer: -12244331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 222 (b) -0.08 (c) 3 (d) -3 (e) -0.1488\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/28 - ((-47584)\/14)\/8.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*q**5 - 8142*q**4 - 3*q - 16222 wrt q?\nAnswer: -680*q**3 - 97704*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*f - 16, 18*k - 23*k - 16 = 4*f. Solve k*j**3 + 0 - 2\/15*j**4 + 0*j**2 - 2\/15*j**5 + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 + 7*f - 8. Let i be v(8). Let p be (-2)\/10 + i\/15. Let h(q) = q - 28 + 56 - 24. Let y(m) = m**2 - m - 7. Give p*y(z) + 5*h(z).\nAnswer: 3*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 + 6.8.\nAnswer: -953.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 102.120318s?\nAnswer: 0.001181948125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 34 - 21 = 89 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 2*t - 3 - t**3 + 0*t**2 + 0*t**3. Let k be (-6)\/21 - 23\/(-7). Let f be a(k). Solve 10 = -2*z - f*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99460033 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skt. What is prob of sequence ts?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62.1? (a) 3\/2 (b) 16 (c) -3\/4 (d) 99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 2}. Give prob of sequence rx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = -6. Let f(r) = r**2 - 2*r + 3. Let a be f(b). What is the highest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (7\/3 + (-28)\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/12)\/((-18)\/(-16))*-6.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 2, -24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5))**(-5\/8) assuming c is positive.\nAnswer: c**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 1542, -26.79?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7956)\/(-2496))\/((-6)\/8)*(-2)\/4.\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46200 and 605?\nAnswer: 508200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/17)\/l*l)\/((l*l**(-4)*l*l)\/l)*(l*(l**(-2)\/l)\/l*l)\/(l\/l**(-5)) assuming l is positive.\nAnswer: l**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 673.444ug?\nAnswer: 0.000000673444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + d - 5. What is q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 227*b + 0 - 7\/2*b**3 + 0*b**2. Let j(v) = 7*v**2. Calculate j(k(d)).\nAnswer: 3087*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 5, 2, -1 in descending order.\nAnswer: 5, 2, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 149999141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.87104 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/90 - (-425)\/(-9). Let r = -29 - m. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449624500 rounded to the nearest one hundred thousand?\nAnswer: 449600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -568*h + 565*h - 27, 0 = -9*h + c - 41 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 a when four letters picked without replacement from {v: 2, a: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -79*v - 943. Let b be h(-12). Solve -4*o = -b*y - 10, -o + 4*y + 7 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 9*t - 5 = -n, -5*t - 5*n = 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 9*i**2 - 209*i - 338. What is the tens digit of d(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690 = -272*j + 134*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148060 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 22. Suppose x = 8*z - 6 - 10. Suppose -6*t + 2008 = -z*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxkk when four letters picked without replacement from {x: 1, o: 7, g: 2, k: 2, m: 4}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -35. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2781*t + 8892 = -2769*t. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536529 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = -1. Suppose -4*q + 5*d - 52 = -169, 0 = -3*q + 3*d + 84. Let n be (g - q)\/(2\/(-2050)). Round n to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1521*q**2 - 58 - 8*q + 158*q**2 + 4 - 272*q**2 - 285*q**2 wrt q?\nAnswer: -3840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03290288 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 36\/(-5))*(-16 + 11 + 40). What is the highest common factor of f and 3444?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 9. Let m = -305 - -332. Let o(d) = 11*d - 304. Let a be o(m). Determine j(a).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220212011 - 10?\nAnswer: 1220212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2645144564202 - -0.108.\nAnswer: -2645144564201.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.38 and -54.\nAnswer: -59.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*b + 141164 = 0, -4*r - 2*b + 5*b = -112922. Suppose -r = 9*h - 5372. What is h rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/11)\/g**(1\/25))**(-2\/73) assuming g is positive.\nAnswer: g**(222\/20075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2\/7*d**3 + 6\/7 - 2\/7*d - 6\/7*d**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w**2 + 1. Let t(z) = 2*z + 30. Determine v(t(h)).\nAnswer: -60*h**2 - 1800*h - 13499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -25\/2*a**4 - 1\/120*a**6 + 0 + 1\/2*a**5 + 11*a**2 + 0*a + 500\/3*a**3. Factor o(w).\nAnswer: -(w - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - m**3 + 12*m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/3 (c) -4 (d) -1.20183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - -244. What is the smallest common multiple of s and 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umlmmmmunuppm. Give prob of picking 1 p, 2 u, and 1 m.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Let u(a) = a. Let v(w) = 27*w. Let y(p) = p**2 - 4*p - 4. Let r be y(5). Let l(o) = r*v(o) - 18*u(o). Give l(h(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 74 - 161 + 32)*(-2 - 2*m**2 + 2).\nAnswer: 338*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*h + 313*h = 1047*h + 28980 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -24 + 6 + 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/90 and 74\/3975?\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 844, 842, 850, 874, 920, 994?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 + 0*y**4 - 5*y**4 - 3*y**3 - y**4 + 3*y**3 + (-2*y**3 + 4*y**3 - 3*y**3)*(4*y + 3*y - 5*y) + (y**2 - 3*y**2 + 0*y**2)*(-19 + 19 + y**2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1918\/17 in 0.2, 2\/7, -4, 24\/19, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 978976 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183520 divided by -740.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/2560)\/(2\/8 + (-747)\/(-36) + -20)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12598 + 940.055\nAnswer: 940.18098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 - 53*z**2 - 12*z - 75. Let n(c) = c**3 + 10*c**2 + 2*c + 15. Let a(x) = -11*n(x) - 2*r(x). Calculate a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:38 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2459566 divided by 1\nAnswer: -2459566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 20229 + 40496 - 20202 + 18*o**2 to y*o**2 + x*o + s and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24957 * -2.\nAnswer: 49914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/(-2*sqrt(5))*-1*5)\/((1*sqrt(80)*-2)\/(sqrt(50)\/sqrt(125))))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/44 + (-5)\/(-5)*3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(10\/6))\/1. Suppose u*b = 56 + 16. Calculate the remainder when 46 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1982833782 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - 1) - (-3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 divided by -1?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22012 - 5?\nAnswer: 22004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 2*s**4 + 0*s**3)*(4*s + 9*s + 2*s) + 341 - 341 + 21*s**5.\nAnswer: 51*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8425 divided by -337.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4282613645 - -0.2.\nAnswer: -4282613644.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9607*g**4*i - 6*g**3*i**3 - 2*g*i**3 + 38*g*i + 46*i**3 wrt g.\nAnswer: -115284*g**2*i - 36*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/20 - d**4\/6 + d**3\/6 - 2*d. Let p be z(2). Factor -1\/2*u**p + 0 + 0*u.\nAnswer: -u**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(7)*1).\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293 - -848\/3. What is the common denominator of 10\/199 and v?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170\/14203 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303419137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0825 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13478, -26842, -40206?\nAnswer: -53570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.099 + -1.09900459. Round d to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 48 = 3*z - 10*y, 2*y - 32 = -2*z. Is 15 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llicclcliil. Give prob of sequence ii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = 103051*v - 103056*v - 511, 2*v = 5*y - 213 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -114. Suppose -n*o + 4 = -46*o. Solve 0 = 3*u - 5*m + 6*m + 16, -2*u = -o*m - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 685249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441155?\nAnswer: 5, 11, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*f - 31312 = -620*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4854*x - 40 = 4844*x. Let c(y) be the third derivative of 3\/2*y**3 + 0*y - 12*y**2 + 0 + 1\/24*y**x. What is the first derivative of c(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4 + 6490422*y**3 - 3510484282719*y**2 + 21062730455244*y - 31594008062412 = 0.\nAnswer: 3, 1081734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5 = j, -4*j = c + 2*c - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1 - 4*t + t + 2*t. Let l be (-6 - -9) + (-4 - 1). Give m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156099 - 156273.198. Let g = y + 174. What is g rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.447 - -0.087. Let n = r + -0.14. Let w be (2\/12*(3 + 6))\/(-6). Is w <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 6*v**2 + 7*v + 6. Suppose -h = -3*k + 8, 2*k = 2*h + 5*k + 7. What is r(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-3\/4)*(t**(-7)*t)\/t*t*(t**6\/t)\/t*t**(2\/11))\/((t**(-1\/3)\/t)**41)**(-5\/4) assuming t is positive.\nAnswer: t**(-8963\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*k**3 + 15815*k**2 + 38430*k + 13960.\nAnswer: 5*(k + 2)*(k + 349)*(9*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-2)*330\/(-33).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(46\/12). Is -2\/5 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-45)*(-15)\/312*4\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263428095.\nAnswer: 3, 5, 7, 1097, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3872*w - 111746 - 70237 = -39255 + 108952 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*i - 6, -i + 6 = -2*s - 3. Suppose -i*q = -0*q - 50. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -3. Let x be 12\/(-15) - (-57)\/15. Solve 0 = -r - x*r + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112105052 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (16\/140)\/(4\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -13. Calculate the remainder when 111 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 149465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:36 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4*g - 4. Let u be l(-4). Let v = -5 + 11. Suppose s + v = -s. Put s, u, 5 in increasing order.\nAnswer: u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907690.\nAnswer: 2, 5, 190769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + -0.2. Let v be 2 - -2 - (32\/5 - 3). Sort n, v, -0.5.\nAnswer: -0.5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - sqrt(200)\/sqrt(4)) + 4 + sqrt(98) + 1 + 2)**2 + 4.\nAnswer: 140*sqrt(2) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 190*s + 223*s + 5317 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 90, 21, -3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let s be 9\/t*(-2)\/(-1). Find the third derivative of -i**2 + i**5 + s*i - 9*i wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlqttqvlbqvqvvtlltq. What is prob of picking 1 q, 1 l, and 1 b?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Suppose 2*l - 4*y + 20 = 3*l, 3*l - y = 8. Let u be l\/(84\/40 + -2). Let v(q) = -40*q + u*q - 2*q**2. What is v(a(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 35 = -38*m. What is the second derivative of -22*d**2 + m*d**2 - 7*d**2 - 71 - 4*d + 3*d wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:42 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 532 = 8. Suppose -3*b + 0*b + n = 0. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.861 nanograms in tonnes?\nAnswer: 0.000000000000029861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33000342 (base 5) in base 16?\nAnswer: 44b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 331716 and 2179848.\nAnswer: 15258936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.6 + -7.8. Let d = 13.17 - w. What is d rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1\/(3\/(-12)). Let z = -1187 + 1005. Sort z, 2\/9, -0.5, r.\nAnswer: z, -0.5, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10 = -8*y + 10*y, -5*u = -2*y - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 - 219. Let v(s) = 2*s**3 + 3*s**2 + s. Let y(w) = -w**3 - w**2. Let r(q) = -v(q) - 4*y(q). Calculate the remainder when l is divided by r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose 30 = 2*g + 24. Suppose 0 = g*o + q - 14. Solve 4*f + 0*i - 5*i = 2, -o*i = 2*f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 7. What is the hundreds digit of l(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 4*h + 2*h)*(2*h - 2*h - 2*h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.064, -0.2, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55135946, -110271902, -165407862, -220543826, -275679794?\n\"Answer: -2*w**2 - 55135950*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -332360 (base 8) to base 5\nAnswer: -12034411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 607014 divided by -6\nAnswer: -101169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240a0 (base 11) to base 3.\nAnswer: 1202121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 6*z + 1. Let i(g) = -3*g + 11. Let b be i(2). Determine h(b).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270217 or 1?\nAnswer: 270217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26840 - -26858. Suppose 4*k - 690 = 2*g, 0*g = -3*k + g + 519. Calculate the least common multiple of b and k.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4190970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2092*s**2*z**2 - 5731002*s**2*z + s**2 + s*z**2 - 1050*z**2 wrt z.\nAnswer: 4184*s**2 + 2*s - 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8536 is divided by 609?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12626 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*g - g**2 + 0*g - g - 3*g to the form o + y*g + t*g**2 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -538*l**6\/3 - 2811*l**2\/2 - 1507. What is the second derivative of d(z) wrt z?\nAnswer: -21520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from ugrduxs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -46, -28, -8, 14, 38?\n\"Answer: b**2 + 13*b - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 2*n**2)*(n**3 + 0*n**3 - 3*n**3) + (-5*n**2 + 3*n**2 + 5*n**2)*(7 - 3*n**3 - 7) - 3*n**5 + 10*n**5 - 2*n**5.\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - (4 + sqrt(50))) + 4*sqrt(162) + 1*(3*sqrt(6)\/sqrt(3) - (sqrt(2) + -1)*3))**2 + 4.\nAnswer: -72*sqrt(2) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:19 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 114 and -0.5591.\nAnswer: 113.4409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-4560))\/((-69)\/(-18) + -4).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -851 - -2870. Which is the second smallest value? (a) j (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one halves of a centimeter?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.013383 decades to centuries.\nAnswer: 0.0013383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 - 2*b + 5. Let o = -2 + 4. Let p be u(o). Calculate the highest common divisor of p and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -12\/239, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 6. Let f(b) = b + 1. Let r(n) = -68*n - 51. Let t(q) = 255*f(q) + 5*r(q). Is t(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 2*u + 8 + 3\/2*u**2 + 2*u**3 - 1\/4*u**4. Let g be l(6). Solve 4*a - 8 = 5*r + 17, -5*r + 3*a - g = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -60.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17*q. Let y(m) = 3606*m + 2. Give h(y(n)).\nAnswer: -61302*n - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.7961566 and -94.\nAnswer: -95.7961566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-18)\/4 + 39\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -434027 or -434020?\nAnswer: -434020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8173*z - 2863*z + 4016*z + 2192*z. Let m(x) = 2*x**2. Give y(m(n)).\nAnswer: 23036*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**6\/30 + 11*g**3\/6 - 2*g**2 - 15*g. Let x(b) be the first derivative of v(b). Differentiate x(s) with respect to s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -31. Suppose -2*d - 3*l + 3 = 0, u*l + 0*l = 2*d - 10. Suppose 4*a = t - a - 360005, d = -3*a. Round t to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + 2 - (-2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 88*i**4 + 177*i**3 + 105*i**2 + 10*i - 3. Let b(n) = 175*n**4 + 355*n**3 + 210*n**2 + 20*n - 5. Let q(y) = -3*b(y) + 5*v(y). Factor q(r).\nAnswer: -5*r*(r + 1)**2*(17*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*f - 0*k - 80, -f - 3 = 5*k. Solve 4 = 4*m, 3*r + m - f = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139726 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-1 - 0)*1. Let p = 594 + -589. Suppose 759 = c*q + 5*s, -p*q - s = s - 953. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, e: 3, a: 3}. Give prob of picking 2 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478412528, 478412524, 478412518, 478412510, 478412500?\nAnswer: 478412488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9492, -37981, -85466, -151947, -237424, -341897?\nAnswer: -465366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (-1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 363040 rounded to the nearest one thousand?\nAnswer: 363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97287236 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eob when three letters picked without replacement from {o: 1, e: 5, b: 7, q: 1}.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-274556)\/(-32) + ((-22)\/16)\/(-11) a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2670*x + 2050. Let y(m) = -2669*m - 2087. Let v(o) = -10*l(o) - 11*y(o). What is the first derivative of v(p) wrt p?\nAnswer: 2659","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 2608217?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3052, -3127, -3206, -3289?\n\"Answer: -2*o**2 - 69*o - 2981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10236004 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4583.6511720659 + -972.3488234431. Let t = -5556 - f. Round t to 7 decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - -8) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/15 + 40*m**2\/3 - 136*m\/5 = 0.\nAnswer: -102, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((sqrt(700) + (sqrt(700)*-1 - sqrt(700)))*6 - sqrt(700))*4.\nAnswer: -840*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 338659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 262*k**3 - 7 + 11*k**2 + 2 + 8 wrt k.\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3. Let j be d(1). Suppose 3*v + 2*r + 17 = 0, -5*r + 4*r - 11 = j*v. Suppose 0 = 6*c - 22 - 8. Put c, -24, v in decreasing order.\nAnswer: c, v, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*w + 50, 5*w + 2*g - 41 = -2*g. Find the second derivative of 17*p + 9*p**3 - w*p - 13*p**3 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 4*u + 18 = 10*s, -4*s + 24 = -4*u. Suppose 4*p = -p + s*x + 2895, -2*p + 1132 = 4*x. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45.006 + 41.006. What is the smallest value in x, 0, -48.66?\nAnswer: -48.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3126.969 times 0.2\nAnswer: -625.3938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(2 - 1)*(-6)\/(-9). Let d be 16\/8*(12 - j). Solve -196\/9*t**d + 868\/9*t**3 - 368\/9*t - 64\/9 - 80\/3*t**2 = 0.\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1216)*3)**2 + 4.\nAnswer: 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 2}. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 588 = 22*n. Let j(z) = -z - 2. Let i be j(-2). Solve i = -5*v - n - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*m, 11 = 4*o - 5*m - 25. Suppose -3*t + 6 = -3*i - 0*i, -i + 2*t = 0. Which is the smallest value? (a) i (b) o (c) -0.1 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 12 = 17*g. What is the derivative of a - 11*a**g - 240*a**2 - 37 + 240*a**2 wrt a?\nAnswer: -44*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 0. Let q(d) = d**2 - 5*d - 6. Suppose -2*z - z = -18. Let y be q(z). Do m and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -35, -26, -1, 46, 121, 230?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2 + 0 + 2 + 0 + (-7 + 2 + 3)*(3 - 3 - 2) - 2 - 2 + 5)*((-14*g + 11 - 11)*(-4 + 1 + 4) - 2*g + 2*g - g) as f*g + t and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4791998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h - 47. Let l be x(0). Let b = l - -132. Suppose -4*m - 5 = -b. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**6\/150 - 3*x**5\/50 - x**4\/60 + 4*x**3\/5 - 8*x**2\/5 + 5740*x. Factor f(y).\nAnswer: -(y - 1)**2*(y + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - l**2 - 8*l - 132. Let u(c) = -4*c**3 + 2*c**2 + 10*c + 133. Let o(g) = 5*a(g) + 4*u(g). Differentiate o(q) with respect to q.\nAnswer: -3*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 35*z + 0*z**2 + 34*z. Let w(t) = 5*t**2 + 2*t + 1. Let g(l) = 4*s(l) + w(l). Determine x, given that g(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/5 - 10\/(-25). Let j(q) = -36*q + 5. Let r(i) = -18*i + 3. Let w(z) = v*j(z) + 7*r(z). What is the units digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*((-35)\/(-42))\/((-126)\/(-567))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 143?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {z: 1, k: 1, q: 1, p: 3, e: 6}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275 a factor of 627778200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 38 (c) -610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**3 + 15*i**2 + 12*i + 3 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 595, 2, 4, 1, 9 in increasing order.\nAnswer: -5, 1, 2, 4, 9, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 - 3*c - 35. Let r be o(-5). Solve u - 2*u - 2 = 0, -r*u + 2 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*f + 111303, f + 6 = 2. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*f - 2*r, 3 = -9*f + 4*f + r. Suppose -2*a - 28 = -5*a - 4*b, -4*a + b = -12. Suppose -7*u = -a*u - 15. Solve f = u*o - 17 + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3463 + 3468. Let r = -384 - -3452\/9. Put o, -1.7, -4\/3, r in decreasing order.\nAnswer: o, r, -4\/3, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (65 - 53)\/(4\/18*6) + -6. Let v(n) be the second derivative of -17\/39*n**m + 0 + 4*n + 8\/13*n**2 - 1\/130*n**5 + 5\/39*n**4. Solve v(w) = 0 for w.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 + 542. Solve -3*c + 4 = -0*z - 4*z, 0 = i*z + 3*c - 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 2*k = -114. Calculate the smallest common multiple of k and 663.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 13 - 117. Let l be ((16\/178)\/(-2))\/(-387 + w). Let x = l + 57492\/16643. Is x <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88707554 or -0.1?\nAnswer: -88707554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 3*f + (2 - 1 + 0)*(-1 + 1 + f))*(-f**3 - 2*f**3 - 2*f**3).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 - 9*o**2 + 48*o - 22*o - 26*o.\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2376 and 71544.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p - 6. Suppose -3*g + 10 = -2*o, -5*o = -p - 3. Suppose i + d = -d + 28, g*d = i + 2. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -95\/2?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2 - -2) + (-3 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*a = 293*a - 486. What is the greatest common divisor of 900 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3983954275?\nAnswer: 5, 7, 22765453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x + 26. Let r be v(2). What is the greatest common divisor of r and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + 130. Suppose -42 = -5*y + s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 - -1246046?\nAnswer: 1245b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 8 = -20 - 4. Is 18\/23 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d + 2*d - 153. Suppose -d*y - 14 = -10*y. What is the lowest common multiple of 24 and y?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 times 0.3?\nAnswer: 255.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = x - 0, f = -4*x - 8. Let h = 2\/283 - -841\/1132. Are h and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from dltlllllllldltdglgld?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5*1\/(3\/1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 2*m - 300. What is the second derivative of -37*c**2 + 3*c + m*c + 14*c - 18*c**2 wrt c?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101203203010 (base 4) in base 15?\nAnswer: 60d887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -129, -0.7, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -542 (c) -0.5 (d) 8 (e) -7 (f) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 + 12*f**2 - 18*f**2 + 6*f**2 + 30*f**2 + 2*f.\nAnswer: 53*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4091*n**4 + 2*n**3 - 9816*n**2.\nAnswer: -98184*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (0 + -6)) + 3. Let u(i) = -i**3 - 5*i**2 + 8*i + 3. Let x be u(-6). Let h be x*(4\/6 - 1). Solve q*t - h*t = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5851, 23182, 52067, 92506, 144499, 208046, 283147?\nAnswer: 369802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*r - 129*r - 784 + 7776. Solve 270 = r*h - 262 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2fd6 (base 16) to base 12.\nAnswer: -7106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) + -2*sqrt(152)))\/(sqrt(48)\/(2*sqrt(6))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699 a factor of 173151886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2978 = -178*i + 226. What is the remainder when 14145 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89887750?\nAnswer: 2, 5, 167, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3751*c**2 + 4*c + 787 wrt c?\nAnswer: 7502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -31 + 3 + (-12)\/4. Let r = -26 - u. Solve -5*k = r, -k - 1 = -m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49444, -98926, -148408, -197890?\n\"Answer: -49482*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2139.035 - 5012.\nAnswer: -7151.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**24*c*c**(2\/39)*c)\/(c**(1\/11)*c*c**(-1\/11)*c))**(15\/8) assuming c is positive.\nAnswer: c**(2345\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1206 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48285099, -96570199, -144855299, -193140399?\nAnswer: -241425499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y**(-4) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -214725168.\nAnswer: -214725168.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69023 rounded to two decimal places?\nAnswer: -2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + ((-319)\/6)\/(-11) + (-33)\/(-198).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/405860 and -41\/127556.\nAnswer: 4464460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -9*p + 4*p. Calculate the least common multiple of p and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {t: 1, k: 2, v: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -13*a**6\/5 - 73*a**4\/12 + 19*a. What is the third derivative of g(j) wrt j?\nAnswer: -1872*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 35. Let t be d(0). Suppose 0 = 5*r + h - 95, h - 4*h = -r + t. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**3\/3 - 8*b + 2. Let v(d) be the first derivative of k(d). Let l(y) = 2*y. What is l(v(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*k**2 - 14 + 14)*(k - k - k + (-2*k + 4 - 4)*(1 - 2 - 2) + 2*k + 2*k - 3*k) in the form n*k + z + x*k**2 + y*k**3 and give y.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -401402002 (base 5) to base 11\nAnswer: -997282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/(-9) - (8 + -5))\/(12\/9). Let a = 3.9 + -4. Let k = -3.04 - -0.04. What is the third biggest value in w, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2380 times 329?\nAnswer: -783020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -8*k**3 + 12*k**2 + 4*k - 6. Let b(i) = -7*i**3 + 11*i**2 + 3*i - 5. Let y(o) = -7*b(o) + 6*j(o). Let w be (-2)\/8 + 102\/120*5. Determine y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194136 - 95617. Let f = i + -216519. What is f rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 9*t**2\/2 + t. Let s(i) = i**2 + 2*i. Let w be s(-4). Let u = w + -2. What is f(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 2 + 3*x + 3 - 2*x. Let v(y) = 12*y - 4. Determine 9*i(j) + 2*v(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000007827 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34.50863m?\nAnswer: 34508630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 668, -15983, -43734, -82585?\n\"Answer: -5550*d**2 - d + 6219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 32. What is the remainder when x is divided by -1 + 3 + (17 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 41. Let t(i) = i**3 - 18*i**2 - 15*i - 6. What is the units digit of t(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 53. Suppose 2*d + 2 - v = 0. Suppose d = -3*p + 127 + 86. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -3*p + 5*i, 4*p + 2*i + 138 + 280 = 0. Let s = 103 + p. Which is greater: s or -2\/187?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 930*x - 13*x**3 - 348*x + 17*x**3.\nAnswer: 4*x**3 + 582*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 9 + 2*u**4 - 12 + 4 + u**3 to the form l + m*u**2 + t*u**4 + w*u**3 + g*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 13*r**2 + 13*r - 4. Let l be 24\/(-100)*-5*10. Let s be u(l). Solve 0*i - s = 2*i + 5*q, 2*q = -3*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - b + 1. Let w be x(-2). Suppose h + k = 3, 2*h + 5*k - w = -h. Factor h + 2\/11*u - 2\/11*u**2.\nAnswer: -2*u*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/3245 and -46\/79355.\nAnswer: 872905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9076342 is divided by 5995?\nAnswer: 5907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 17 = f - 2*t, -5*f - 4*t = -21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -48*h + 389. What is the least common multiple of g(8) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -1456?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbuuwgbdud. What is prob of sequence duw?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*j + 3471 = -715 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 + 88. Let o be (-9)\/((t\/(-4))\/7). Let s be (7 + -4)\/((-9)\/o). Solve s*h - 7 + 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 1302.\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 2340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o + 1\/10*o**5 + 1\/8*o**4 + 1\/3*o**3 + 0 - 6*o**2. List the prime factors of w(3).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 36 - 52 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -124*x + 1891 + 2307 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 3. Let y be u(4). Suppose 9 = 5*j - 3*j - y*c, 0 = 3*j - c - 7. Sort 0, -3, j in descending order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2429, -9667, -21729, -38615?\n\"Answer: -2412*o**2 - 2*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-32)\/(-20))\/(381\/635))\/(2\/15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 68*d**3 + 20*d**2 - 76*d - 72. Let v(b) = -b**4 + b**3 - 2*b**2 - b - 2. Let c(m) = t(m) - 12*v(m). What is f in c(f) = 0?\nAnswer: -3, -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/(-23) - 960\/54?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k = -q + 65*k + 1, -4*k = -5*q - 13. Let l(f) = 4*f**2 + 10*f - 49. Determine l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.7 + -23.3. Put -0.4, s, -1, -2\/3 in ascending order.\nAnswer: s, -1, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1. Let f = -33 - -33.91. Let p = -0.41 + f. What is the closest to o in p, -0.05, 0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:07 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 t, and 1 p when four letters picked without replacement from pzrttztztppttttppt.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2331*o + 2327*o = -5*t + 61, -o - 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010010?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 2*h)*(-5*h - 30 + 5*h + h**4).\nAnswer: h**5 - 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 18 + 3. Let t be (g - 13)*6\/(-10). Let z = t - 7. Does 1\/4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.48 and -3.\nAnswer: 31.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000033504776 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (1 - (36 + -4)). Let a = -7 + -3. Let k = a - r. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5)\/((-4)\/(-20)) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = 20. What is the third derivative of 1 + 618*l + 49*l**6 - 618*l + s*l**2 wrt l?\nAnswer: 5880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103*0.1\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 - 183. Let a = 7.5 - 7. Put a, -5, h in descending order.\nAnswer: a, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18235 by 470.\nAnswer: 3647\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8198008us in nanoseconds?\nAnswer: 819.8008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13888523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1359\/115 + -3726932\/315445. Is n > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 3*g + 13 - g**3 + 4*g - 10*g**2 - 1. Is v(-11) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7, 2\/13, -2, -409?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 1544*j**3 - 107685*j**2 + 2517102*j - 19474560 = 0.\nAnswer: 21, 30, 1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - 13?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26339 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 1, -2, 5\/969?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1741439)\/(-772) - 6\/8.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350171 is divided by 87537.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121715679 at least 121715679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -215\/2 (b) -1\/3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1104\/10 - 4\/10. What is the greatest common divisor of 44 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 207\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 316 + -1185. Let m = 7410 - 10541. Let i = l + m. Round i to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305749801 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: Let l(n) = n**2 + 6*n - 9. Let t be l(-7). Let m be (-1 - t)\/(2\/4). Let s be (0 + 0)*(2 + -1). Solve -x - f - m = s, -3*x + 0*x + f - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1958734*s - 3. Let n be q(4). Let r = n - 15479965. Let i = 13245032 + r. What is i rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 190 - 332 = 0. Let f = 6118 - 6060. What is the highest common divisor of g and f?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147850767 divided by 6?\nAnswer: 49283589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224204179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 233043 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140228319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:14 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 163 = o, -o + 3*u + 2*u = 166. Let k = o + 175. What is the remainder when 89 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/14 - 6\/(-21). Let j be 3\/2*(-144)\/(-54). Differentiate -t**4 + 0*t**j - q - 8 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*b**4\/4 + 19121*b**3\/4 - 19787*b**2\/2 + 79*b + 154 = 0. What is b?\nAnswer: -77, -2\/17, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395202 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 751231716 and -1329?\nAnswer: 751233045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.36 + 0.4. Let q = g - -0.36. Which is the closest to -0.1? (a) q (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11557*k + 69325. What is t(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427.197028 rounded to the nearest 10?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6474107\/615 + 10527. Let x = 956\/205 - o. Factor 0 + x*i**4 + 4\/3*i**2 - 6*i**3 + 0*i.\nAnswer: 2*i**2*(i - 1)*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10136 = 1130*s - 68675 - 20629 for s.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 3}. What is prob of sequence xx?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and 60.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -230. Let w = t + 200. Let m = w + -54. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 - 3*l**2 - 3*l. Let o(b) = -3*b**3 - 3*b**2 - 2*b. Calculate -2*a(s) + 3*o(s).\nAnswer: -s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*n**3 + 21*n**3 + 14*n**3 + 20*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(117) - ((sqrt(117) - sqrt(117)*-1 - sqrt(117)) + sqrt(117))*-4)\/(sqrt(81)*-6 + -1*sqrt(81)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574*m**2 - 2573*m**2 - 3566*m**2 + 2163*m**2.\nAnswer: -5550*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - v + 14. Calculate the remainder when i(5) is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/24*21*4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1694 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-1 + 8)) + 2. Let h(d) be the third derivative of 0 + 1\/24*d**4 + 0*d**3 + d**2 + 0*d. Let o(n) = -2*n. What is l*h(p) - 2*o(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uktkkkgttkr. What is prob of sequence ktk?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71, 404, 961, 1742, 2747, 3976?\n\"Answer: 112*a**2 - 3*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**7\/14 + h**6\/5 - 8*h + 10. Let b(k) be the first derivative of p(k). Factor b(q).\nAnswer: 3*q**4*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-6)\/39 - 0). Suppose 4*j + p - n = 0, 27 = 4*j + 3*p - 3. Suppose 5*w - d = -j*d - 5, -10 = 2*d. Solve -w*r + 7 = 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = c - 14965, 3*c + 130*v - 44911 = 131*v. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + (0 - -1) + (66 - 43)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7164159, -14328342, -21492525?\n\"Answer: -7164183*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 390. Let o(b) = -b + 399. Give o(y(p)).\nAnswer: -2*p**2 + 789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150535 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 10*r + 7. Let w be x(11). Let n be 2 + (w - 3) + -1. Suppose 4*q = -12*q - 32. Is q != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(20\/65)\/((-12)\/(-6)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 282.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/940 and 61\/8300670.\nAnswer: 16601340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/7, -3, 0.3, 22\/7, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1535*g**2 + 17*g**3 + 3*g**3 + 12*g + 1535*g**2.\nAnswer: 20*g**3 + 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -79148.\nAnswer: 11\/79148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268368487 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 2*u**2 - 1. Let g be k(-1). Let f = 0 - 1. Which is the closest to f? (a) g (b) -5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 159*g**5 - 61*g**5 + 228*g**5 + (-3*g - 2*g + 2*g)*(2*g**3 - 2*g**3 - g**4).\nAnswer: 329*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 566 - 566. Suppose m - 11*o + 8*o = 10891, u = -m - 3*o + 10915. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3086 + -3081 + (-14 - (-1 - (0 + -3)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4184 + -4159. Let f(s) = s**3 - 4*s**2 + 4*s - 1. Let v be f(4). Calculate the highest common factor of v and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (7 - 4) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1598 + 1065. Which is smaller: -531 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.6501 to the nearest integer.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 68, 0, -96, -220?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, -548 in decreasing order.\nAnswer: -2, -16, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568727411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*a = 3*y - 3765, -a - 1255 = -y. Let z be (32\/12 + -3)*0 + 3. Suppose -3*x = -v - y, v = -z*x - 2*v + 1263. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 20295*n**3 - 615*n**3)*(2*n**2 - 1 - 3 + 5).\nAnswer: 39360*n**5 + 19680*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 14*s - 16. Let k be d(-5). Solve 160*x**2 - 28*x**5 + 121 - 113 - 200*x**3 + 120*x**k - 42*x - 18*x = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 47, 81, 123, 173, 231, 297?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 82*k + 1109. Calculate y(-65).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 9. Let j be u(0). Suppose d - j = -0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q**3 + 0*q - 17\/80*q**5 - 1\/8*q**4 + 28*q**2 - 1\/40*q**6 + 3. Suppose o(u) = 0. What is u?\nAnswer: -4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d**3 + 8*d**2 + 9*d - 18. Let w(y) = 6*y**3 - 3*y**2 - 3*y + 6. Determine 3*v(b) + 8*w(b).\nAnswer: -3*b**3 + 3*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -277*k**5 - k**3 + 844*k**2 wrt k?\nAnswer: -16620*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 3*d**5 - 3*d**5 + (-d**2 - d**2 + 4*d**2)*(-2*d**3 + d**3 + 0*d**3) + 2*d**5 - 2*d**4 + 2*d**4 - 35*d**5 + d**4 - 3*d**4 + 21*d**5.\nAnswer: -13*d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 301\/147)*49\/21.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2971, -11388, -25289, -44674, -69543, -99896, -135733?\n\"Answer: -2742*v**2 - 191*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from cfciwcipcfpcfci?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h + 3. Let s be o(0). Suppose s*k - 1 = 2*k. Is 9 a factor of (1 - k) + 1 + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-327*k + 3558767 - 3558771 - 423*k)*(-2*k**2 - k + k).\nAnswer: 1500*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804 at least 11411\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*l - 226*l + 6*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1*(2 - 0)). Is w at least as big as -7\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422984, -422985, -422986, -422987, -422988?\nAnswer: -422989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 = -2*u - 2*w, 462*u - 461*u + 5*w = 498. Calculate the remainder when u is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9148613?\nAnswer: 9148613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54523, -218071, -490647, -872251?\nAnswer: -1362883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 34?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4918, -16182, -4 in ascending order.\nAnswer: -16182, -4, -2, 4918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*o = -11*o - 200 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90 + -f0?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 40\/(-15). Let r(b) be the first derivative of 1\/5*b**5 + 0*b + 0*b**4 + 0*b**q + 2 + 2\/3*b**3. Find the third derivative of r(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000381036 to six decimal places.\nAnswer: 0.000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10738 divided by -5369\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(8\/(-6))*2. Let d be (-1)\/p - (-154)\/(-21). Let l(q) = q**2 + 7*q - 5. Let f be l(d). Put f, 2, -4 in increasing order.\nAnswer: f, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -0.9 (c) -1014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 175924440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 - 342*j**3 - 27*j + 27*j + 127*j**3 - 14*j**2.\nAnswer: -215*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2031 + 5624. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 131*y + 1039. Give f(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109.77 - -110. Which is the second smallest value? (a) 1 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65073250?\nAnswer: 2, 5, 11, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3171.3 - -2956. Let a = t + 215. Sort a, 2\/7, 4, 1.1.\nAnswer: a, 2\/7, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (32\/2)\/(-4) - -36 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 17876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*x - 270 + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*j - j - 3, -4*j = 2*l - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 80, 8\/7, -1?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85508627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 448883?\nAnswer: 3142181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1535*i - 9197. What is the remainder when 283 is divided by j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.95 + -54.05. Let p = 57 + -117. Let w = f - p. What is the closest to 0.1 in 3\/5, -0.1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 2*a)*(-a**3 + 2*a**3 + a**3)*(-72 - 43 + 30)*(-3 + 1 + 4).\nAnswer: -340*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26536758 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.55 * 0.3.\nAnswer: 0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -496, 1358 in descending order.\nAnswer: 1358, 1.5, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28324*v**5 - 8584*v**2 wrt v.\nAnswer: -1699440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -64456 >= -64395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/21)\/((20\/6)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 11534 + 41787 = -21101. Calculate the greatest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*m - 16 = 0, 2*g = 4*g + 2*m - 16. Let d(s) = -5*s**2 + 3*s - 3. Let w(y) = -10*y**2 + 5*y + 6 - 3 - 4 - 4. Calculate g*w(a) - 5*d(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3035 - 2873 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - (-30 + -34 + 106)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**2 + 4*t**2 + 3 + 10*t**2 + 0 + 0 + t**2 + (4*t - t - 2*t)*(-3*t + 2*t + 3*t).\nAnswer: 10*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 8:49 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - s - 32 = 0, 2*y + y + 18*s = 87 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211497 divided by 6409?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 3*d + 4. Let z be m(7). Suppose -g + z = 3*x, -3*g - 25 - 9 = -4*x. Calculate the remainder when 68 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 not equal to -76934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 + 375536*w - 8814205456 = 0. Calculate w.\nAnswer: 46942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 229 = 2*v + 49, 4*c = -2*v + 180. Let z be (-15 + 5)*1\/(-2). Suppose -2*j - 4*i + v = 0, -4*i + 20 - 175 = -z*j. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11499 * 7905.\nAnswer: 90899595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2\/47 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18*i - 35. Give c(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 44\/10 + (-4)\/1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89486.03 millilitres in litres?\nAnswer: 89.48603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.0918\nAnswer: 0.03672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 2. Let g be p(2). Suppose g = 3*i - i. Suppose i = 2*v + 3*v - 375. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0 - 6 - g**2 + 5. Let s be 1*-1 - 0 - 2. Give u(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 82 = 2*w + 20, 3*w - 3 = 0. Let d = 12 - n. Let g = 0 + d. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6*a + 21 = -5, -259 = -4*o - 0*o - 4*a - 215 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -308 - -318. What is the lowest common multiple of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from cfccffgifcccccif?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0.12 (c) 481\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21771 is divided by 10818.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -5?\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40353*p**4*z - 7*p**2*z - 562*p*z + 4*p wrt p.\nAnswer: 968472*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**2 - 65 + 35 - 168*t**3 + 30 - 29*t.\nAnswer: -168*t**3 + 28*t**2 - 29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(((-80)\/(-16))\/(-70))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 + 3*q**2 - 14709*q - 88238. Calculate l(-6).\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1125848647*y + 2 + 1125848508*y.\nAnswer: -139*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 + 297. Which is the nearest to -2\/9? (a) 5\/4 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -2. Let y = 6 - z. Let d = 68\/3 - 22. What is the smallest value in y, 0, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/12 + 66\/(-88). Find a, given that r - 1\/6*a + 1\/6*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117804 and 2.\nAnswer: -235608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {u: 2, x: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 + 3 + 0*l**3 + 0*l**3 + 8*l - 2*l**3 + 9*l**2. Let x be d(-8). Suppose -p = -4*n - 115, -x*n = -2 - 1. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*n + 12, -7*a = -2*n - 2*n - 1 - 20 - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76170, 76169, 76168, 76167, 76166?\n\"Answer: -m + 76171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 5 - -8 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z. Let r be p(-1). Suppose -r*i = -5*i. Let l = 391 - 2742\/7. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75281.\nAnswer: 83, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 78.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3187 - 3345) + (-2 - -23) + -2.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1138 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 10) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 191*n - 2395. Let p = 90 - 52. What is the remainder when m(204) is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from ayayaya?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o - 215 = 87 + 139 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.48 - 14.48. Sort l, 0.078, -2\/11, 5 in descending order.\nAnswer: 5, 0.078, l, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j. Let b = j + 3. Suppose 5*y - 106 = b*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 30 = 3*h. Let q be (-4)\/h + 7\/((-35)\/228). Let v = -46 - q. Solve v*c - 4*c = -12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 402*i**5 - 40994*i**2 - 53511025*i.\nAnswer: 8040*i**3 - 81988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s**5 - 98*s**3 + 98*s**3)*(-34 + 16 - 34) + (s**2 + 0*s**2 + s**2)*(0*s**3 - 3*s**3 + 2*s**3) + s**5 + 0*s**3 + 6 - 4 + 2*s**3.\nAnswer: -885*s**5 + 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 537661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*a - 280*a**2 - 33*a + 8*a - 457*a**2 in the form o*a**2 + k*a + u and give o.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 + 25*m - 7. Let h(v) = -v**3 - 5*v**2 + 20*v - 7. Let f(p) = -3*d(p) + 4*h(p). Give f(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + (3 - (-6 + 15))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 168725817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3300429938?\nAnswer: 2, 13, 293, 433241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 836637301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 - 6.001113\nAnswer: -3.801113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2414 - 2?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-64)\/312*12 + -6.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}