diff --git "a/data/dm_maths/full_data_2/10637_11255.jsonl" "b/data/dm_maths/full_data_2/10637_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10637_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -9*o + 2743 = -8*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(363))*1 + sqrt(363) - 3*sqrt(363)*2)**2.\nAnswer: 88*sqrt(3) + 5809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11745 - -11750. Let t(f) = 4*f - 50. What is t(i)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(187) - sqrt(187)*-1*-4)\/sqrt(11))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ac + 10?\nAnswer: -79c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97\/74 or 1?\nAnswer: 97\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3345 * 0.17\nAnswer: 568.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12113782?\nAnswer: 2, 6056891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524 bigger than 4\/14823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6308, 24383, 54508, 96683, 150908, 217183?\nAnswer: 295508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x - 52 + 13*x**4 + 0*x**2 + 133\/3*x**3. Find the second derivative of w(d) wrt d.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/5 + (-383)\/1915?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/306 and 67\/72?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*x + 2, -2*l - 5 = 2*x - 3. Solve 4*u - 2*u - 8 = l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (3 + -6)*-5. Let a be -10*20\/32*-4. Calculate the highest common divisor of u and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5583*r**2 + 5443*r**2 - 11014*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.38 + -36.8. Let j = 3.3633 + s. Round j to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5719763.\nAnswer: 7, 89, 9181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1827379.\nAnswer: 1827379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -906*-1*(-9)\/27*-38?\nAnswer: 2, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 at most as big as -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -21*k**3 + 111*k**2 - 15*k - 75 = 0.\nAnswer: -5\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(204)*-3 + sqrt(204))*-3*-3)\/(-3*(sqrt(108)*-4 + 1*sqrt(108))))**2*2.\nAnswer: 544\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-1)*t*t))\/(t*t\/t**(-1))*(t**(-2\/7)\/t)**0 assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34869279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005167383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 2 + 1 + 1. Let s(x) = -3*x**2. What is d(s(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let f(g) = 10*g + 83. Let l(a) = -a. Let r(x) = f(x) + 4*l(x). Give r(m(b)).\nAnswer: 6*b + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 + -8?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*q - 24, 0 = 4*u + 30*q - 48*q + 19*q - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249906 to the power of 1\/2, to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrcccmmccmm. What is prob of sequence rr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30469 - -76534. Round j to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21679 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: Suppose t + 6 = 0, -t = -54*u + 59*u - 46544. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 944.66 - 944.86. Let q = 0.3 + -0.4. Let l = 0.23 + 0.07. Which is the closest to q? (a) -8 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 6. Let u(o) = -o + 1. Let i(s) = 5*h(s) - 30*u(s). Let x(w) be the third derivative of -7*w**4\/24 + 31*w**2 + 67*w. Determine x(i(r)).\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -e419 (base 16) in base 4?\nAnswer: -32100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 63 - 55. Suppose n*l = 110 + 168. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1739, 1715, 1675, 1619?\n\"Answer: -8*b**2 + 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04861 and 3.\nAnswer: 2.95139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let f(x) = 4*x**u + 19 - 19. Let p(k) = -k**2 - 5*k - 5. Let t(y) = y**2 + 4*y + 4. Let n(w) = 4*p(w) + 5*t(w). Determine f(n(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 2, 8\/43, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -279, -277, -275, -273, -271?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 320 - 846. Let u = x + 563.3. Let w = u - 32. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = -n. Let d(y) be the second derivative of 3*y**5\/20 + y**3\/3 - 3*y**2\/2 - 71*y. Let a(o) = 6*o**3 + 4*o - 5. What is n*d(t) - 3*a(t)?\nAnswer: -3*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 40. Let r be l(0). Let g be (98 - (-21660)\/(-200))*(3 - -1). Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.730672 centuries?\nAnswer: 173.0672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*r + 14, 0 = 4*c + 2*r + 3*r - 30. Let t(v) = 2*v**2 - v + 1. Let i(d) = 4*d**2 - 3*d + 2. Determine c*t(a) - 2*i(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -2101, 3, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjyjjjjjy. Give prob of sequence jj.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x + 276. Let f be a(0). Suppose -1722 = 273*n - f*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l**3*l)*l)\/l*l*l**(4\/7)*l*l*l*l)\/(l**(-6)*l*l**(-3\/2)\/l) assuming l is positive.\nAnswer: l**(141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -3*i - 4961. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -15. Suppose 0 = -2*r + 4*r - h. Suppose -3*x = -r*b + 2*x, 2*b - 5*x = 0. Solve -o - 3 - 9 = -3*w, b = 3*o + w - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40135122 is divided by 8141?\nAnswer: 8133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-308*t - 21994 + 21994)*(0 + 1 + 1)*(-11 + 5 - 3)*(1 - 3 + 3) in the form a*t + p and give a.\nAnswer: 5544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -860745*s**3*x**3 - 2*s**3*x**2 + 335014*s**2*x**2 - 3*s*x**2 wrt x?\nAnswer: -5164470*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*y**2 + 38 - 7 to j*y + i*y**2 + g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - x + 2. Let o be r(3). Sort 0, -3, o in decreasing order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*f**4 - 103*f**3 + 2*f**2 - 2*f - 30 wrt f.\nAnswer: -1056*f - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.28, -1\/2, 1\/5, 121, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/29))\/(r*(r\/(r**(-7)\/r))\/r))**(6\/19) assuming r is positive.\nAnswer: r**(-1404\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(8*j - 8*j - 6*j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/8 - 61563*z**2\/8 - 1848915*z\/8 - 13871925\/8.\nAnswer: 3*(z - 20551)*(z + 15)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.3 (b) -119 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i + g - 1218, 2*g + 1212 = 2*i. What is the least common multiple of 304 and i?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68 + (6 - (-1 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44, -3, -0.064, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 23*a**2 - 24*a. Let l be s(24). Factor -4\/3*v**2 + 2\/3*v**4 + 0*v + l*v**3 + 2\/3.\nAnswer: 2*(v - 1)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1660*p + 78220. What is s(47)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w**2 + 4821*w - 9949?\nAnswer: -4*w + 4821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + ((sqrt(68) - -2*sqrt(68))*5 + sqrt(68)*2*2)\/(-4*sqrt(12)\/sqrt(3) - (sqrt(28) - sqrt(84)\/sqrt(3))\/sqrt(7)))**2 + -5.\nAnswer: -38*sqrt(17) + 6233\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 277.3 + -50.3. Let z = 227.0187 - p. Round z to 3 decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 26*s**2 - 62*s - 34. What is the units digit of r(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520215112.\nAnswer: 2, 3, 105008963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 3}. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 0.2188803.\nAnswer: 0.6188803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22696164 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 67 (b) -4\/9 (c) 3\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120319.\nAnswer: 120319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/120*1*18*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-288)\/(-56) - (-2)\/(-14). Suppose -3*r + r + 8 = -4*x, -3*r + 56 = p*x. Let i = -13 - -25. Calculate the greatest common divisor of i and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88804107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**3 - 190*j**2 - 17*j + 35. Is f(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 16 = -11. Let n = l - -13. Suppose -5*m + 139 = 3*o - 10*m, n*o + 5*m = 232. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1385433 divided by -197919.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -21. Let d be h\/(-6)*(-90)\/40. Let w be (54\/(-24))\/(d\/16). Calculate the highest common factor of 54 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 + 78669*y - 39334*y - 39332*y as w*y + m and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/105 - ((-1600)\/(-245))\/(822\/(-4795)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2924451 + 3591874 = 23*o + 1480176. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2821 is divided by 927.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 206\/315?\nAnswer: 206\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/27)*c*c)**(-11\/4) assuming c is positive.\nAnswer: c**(-583\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3124 = -4*b, -9*b + 781 = -10*b - 4*p. Let o = 1432 + b. List the prime factors of o.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, v: 1, b: 7, n: 1, j: 7}. Give prob of sequence vbjb.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from uuuuuuuuubuuuuuuuuu?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -8581, -2\/9 in decreasing order.\nAnswer: -2\/9, -3, -6, -8581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -47681, -47677, -47671, -47663, -47653, -47641, -47627?\n\"Answer: o**2 + o - 47683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/3, 4\/11, -2\/29, -0.0735?\nAnswer: -0.0735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3. Let n(v) = -2*v + 11. Let t be n(5). What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814097459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*v**2*z**4 + 5*v**2*z + 311*v*z**5 + 3400*z**2 wrt z?\nAnswer: 720*v**2*z + 18660*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 18*l**3 - 416*l**2 + 10. Calculate a(23).\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 2*t + 2*t)*(-2 + 5 - 5) + 2*t - 3*t - t + 4 + 2*t - 4 + (-5 + 1 + 2)*(-t + 2*t + t) as h*t + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**3\/3 + 5*a**2\/2 - 15*a. Let h(t) = 2*t - 4. Let j be (-23)\/7 + 2\/7. Determine j*c(v) - 4*h(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r**3 - 9*r**2 - 4. Let q(y) = 6*y**3 - 4*y**2 - 2. Let l(g) = -31*g - 376. Let s be l(-12). Determine s*f(k) + 9*q(k).\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.247014\nAnswer: -0.247014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + q - 1. Let i be b(1). Suppose -5 = 5*y, i*y - 9 = -2*u - 2*u. Suppose 26*p - 81 = 127. Solve 18 = -3*m - u*g, 3*m + 2*g - 2 = p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 93, 91, 89, 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36711, 73630, 110549, 147468, 184387?\n\"Answer: 36919*a - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, u: 9}. Give prob of picking 1 e and 3 u.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -13.6.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*w + 2*m + 58, -5*w - 2*m = 125. Let n(g) = -2*g + 3. Let f be n(5). What is the units digit of f\/(3\/w*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*w + 127*w + 118*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 13*g - 468. Calculate the greatest common factor of g and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 5*s + 0*s**2 - 5 - 1\/6*s**3. Let b(i) be the first derivative of t(i). Determine b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*i + 14 = -32, -c = -5*i - 14. Suppose p = 4*o + 98, -3*o = -2*p + 232 - 51. What is the remainder when p is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1382784084 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (45 - 13) - 4) + 14\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b = -5. Suppose -3*h + 3 = -3*y - 6, 5*h - 20 = 0. What is the closest to b in y, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/21 and -7 + (-191)\/(-42) + 1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 + 2*x - 2. Let q be u(-3). Let f be 9\/6*(1 + q). Solve 3*j - 5*z = -25, 5*j + f*z = -0*z - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 56 = 3*y. Solve 4*c - 3*c = -5*w + y, 0 = 4*c + 3*w - 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*q - 174 = 0, 685*q = -6*k + 681*q - 204 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 61*w - 33. Determine k(29).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 30 (b) 1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 - 58 = -r, 3*r = -2*f + 15. Let b be (-65)\/25 + 3 + 39\/f. Suppose 2*l - 2*p - 15 = 3*p, b*l - 4*p = 12. Solve -2*n = -l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -g - 1, 6 = -3*g + 3*s + 15. Suppose 0 = 5*o - g, 5*o + 2 = 2*f - 3. Solve f*m - 7 = 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6206 (base 8) to base 9\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (4 - 4)) + 1. Suppose 5*d - p = -0*j + j, -j + 4*d = 4. Suppose j = 2*i + 5*i - 63. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 88, -2, 182\/5?\nAnswer: 182\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t*t**(2\/15)*t**2*t**0)\/((t\/(t\/(t*t**(-2\/7))))\/(t\/(t**(-1\/5)\/t)*t*t)*t*t*t**5*t**(3\/4)) assuming t is positive.\nAnswer: t**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132.713 - -2.813. Let u = y - -129.89996045. What is u rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 - 9*f - 12. Calculate j(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -1. Put n, -1, -2\/11, 0.4 in descending order.\nAnswer: 0.4, -2\/11, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*-5*(0 + sqrt(171) - sqrt(171)) + -2)*-5)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Suppose -2*z + 77 = 4*l - 3*l, -5*l - 5*z = -405. Let q = l + -86. Sort q, 3, b in ascending order.\nAnswer: q, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(140)\/sqrt(5))**2 + (sqrt(7) - sqrt(343)*1) + sqrt(7).\nAnswer: -5*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325322 by -162661.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 465, -700, -6?\nAnswer: 465","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-10) - (-2)\/5. What is the second derivative of -5*j + j**2 - 3*j**2 - 3*j**q + 4*j wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07547 - 0.42453. What is the third biggest value in 161, 0.1, a, -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -7. Let w = -23 + d. What is the tens digit of (-4)\/(w*(-4)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2720\/(-15))\/2*-27. What is the units digit of c\/33 - (-1 - (-26)\/22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6869\/526425 - 2\/7019. What is the common denominator of 103\/100 and i?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/2, -1898?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94991, 94999, 95021, 95063, 95131?\n\"Answer: y**3 + y**2 - 2*y + 94991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13803 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 12:42 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4076562?\nAnswer: 2, 3, 7, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114002797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 565051942 to the power of 1\/2, to the nearest integer?\nAnswer: 23771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2 - 2. Let y(p) = 3 + 1 - 1 + p - 11*p**2 - 7. Let m(x) = -4*y(x) + 7*z(x). Factor m(u).\nAnswer: 2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22614 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 8. Suppose -4 = s*o - o. List the prime factors of 0 + -2 + (-32)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89901803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2252 times 382?\nAnswer: -860264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 7, 0.1, -5, 1\/2, 2\/159, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -51 + (4 - -12) + -14.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -204, -207, -212, -219, -228, -239?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/3 - 4217*r**2\/3 = 0.\nAnswer: 0, 4217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9763 + -175733\/18. Are x and 0.0675 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*l - 4*l + l**3 + 7 - 3*l**2 - 3*l in the form n*l**3 + c*l**2 + r*l + b and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 41*j**3 + 2720 - 8173 + 2741 + 2712.\nAnswer: -42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716 + -456. Calculate the lowest common multiple of w and 28.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (sqrt(3) - sqrt(363)*-1 - (sqrt(6)\/sqrt(2) - sqrt(3))*-5) + (sqrt(48) - 1*sqrt(48))*-2 + -4)**2*1.\nAnswer: -336*sqrt(3) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/88 and 29\/671.\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(19\/304).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*x + 13*x = -48*x - 66*x - 15136 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.3302 to the nearest integer.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r + 1. Let v be n(22). Find the common denominator of (-362)\/(-45) + v\/(-41) and 41\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57127860 = -9*f + 236137860. What is f rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -14.94818.\nAnswer: 7.94818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6059 - 5153. Suppose 5*b + 467 = -248. Let j = l - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -199, -190, -177?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*l + 2613 + 924 + 3744 = 607 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 5, 1\/5, 0, -348.\nAnswer: -348, 0, 0.05, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2400 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) 15 (c) 160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4107, 4140, 4173?\nAnswer: 4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 9*r + 10. Solve 2*m - r = 4*h, -23 = 4*m + 4*h + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 + 140.093. Let r = 3.807 + n. What is r rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201696 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6282795m?\nAnswer: 628.2795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -8. Let f(k) = -k + 18. Let q be f(16). Suppose -m + q*m = 2. Solve 2*u - 3*u = -3*t + 8, -m*u - d = t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(3\/8)\/u)))\/u**(-8\/3))\/(u**40*u\/(u\/u**7)*u) assuming u is positive.\nAnswer: u**(-1103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 13 - 11. Suppose -k - 2*k + 9 = 0. Suppose -k*g - 2*q + 2 = -0*g, 3 = w*g + 3*q. Which is bigger: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*t**6 - 80*t**2 + t wrt t.\nAnswer: 16200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1576, 3167, 4784, 6439, 8144?\nAnswer: 9911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/3*i + 2*i**2 - 2\/3*i**3.\nAnswer: -2*i*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169764903 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -0.281, 77?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 3*g**2 + g - 1. Let n = -12 - -16. Suppose -q - q = n. Let m be s(q). What is the highest common divisor of 132 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 4, -3, 0, 10, -5 in descending order.\nAnswer: 66, 10, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/16 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(1666) - sqrt(1666) - sqrt(1666)) + sqrt(1666) + 3*2*sqrt(1666))\/((sqrt(36)\/(-2*sqrt(2) + sqrt(2)))\/(sqrt(54)\/(1*sqrt(6)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 573.6 - 306.3. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132212 + 210?\nAnswer: 133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4.9. Let r = 23 + -25. Put 1, f, r in descending order.\nAnswer: 1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145 and -356.\nAnswer: 51620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -263648790 divided by 87882930?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2 and 85\/2076.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, -5, -0.3, -3 in increasing order.\nAnswer: -5, -9\/2, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607375.45 rounded to the nearest one hundred?\nAnswer: -1607400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369496 and 2144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose -2*s = -9 + k. Find the first derivative of -6 + 0*y**4 + s + 2*y**4 wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 136, 146, 154, 160, 164?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-18)\/(-4))\/((28\/(-8))\/(-7)) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 30. Give k(16).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.936233 rounded to zero dps?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - (-1 + -1 + sqrt(847)) - (-2 + sqrt(847)*1).\nAnswer: -11*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92031, 368152, 828325, 1472550, 2300827?\nAnswer: 3313156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24755 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: Calculate the remainder when 330960 is divided by 325.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*n - 3*j - 8, 0 = -3*n + 4*j + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -18, 29.\nAnswer: -131, -18, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t\/t**(3\/2)*t*t))\/t)*t)\/(t\/(t\/(t*t**(-3)))*t))\/((t\/(t\/t**3*t*t))\/(t\/(t*t\/(t\/(t\/t**(-6\/5)))))) assuming t is positive.\nAnswer: t**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264386721.\nAnswer: 3, 1621, 54367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(384)*-2 + sqrt(384))\/(sqrt(8) - 5*sqrt(16)\/sqrt(2) - sqrt(8)) + -4.\nAnswer: -44*sqrt(3)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 2059?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/3 - i**2\/2 - 6*i + 6. Calculate the remainder when j(-8) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 - -114043?\nAnswer: 112411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -34 (c) 0 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -6, -2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*d - 24*d - 154*d.\nAnswer: -251*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 - 3)*(17*a + 18*a - 4*a).\nAnswer: -403*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/221 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845079 is divided by 211105.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2 = 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 852318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - ((sqrt(153) - (sqrt(153) - -3*sqrt(153))) + sqrt(153)) - sqrt(153))*1*-4)\/(6*2*sqrt(900) + sqrt(900)).\nAnswer: -4*sqrt(17)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1352*u + 4228 = 1503*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 6*q - 34 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.215018 minutes in seconds?\nAnswer: 312.90108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:48 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 31*d**2 - 102*d + 2234. Calculate q(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10483663.41 - -20.8.\nAnswer: -10483642.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 8*p - 22. Determine g(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9 + -9)*516\/(-1505).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7607 is divided by 602?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 12*f + 9*f = -3, -d - 4*f - 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 - 0) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 - 852 = -4*a. Suppose 7*o + 844 = -1123. Let k = o + a. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22781, -45557, -68325, -91085, -113837?\n\"Answer: 4*b**2 - 22788*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c6c (base 15) in base 10?\nAnswer: -70302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19566*q - 2375 = 19441*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - y + 8 = 0, 0 = -2513*x + 2543*x - 3*y + 240 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 - 346*w**3 - 29581*w**2 + 60204*w - 30276 = 0. Calculate w.\nAnswer: -174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -13. Suppose v - g = 4. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*a + 8 = 0, 8*h + 4*a = 3*h + 56. Suppose -5*t + 76 = -2*n, 3*t - 54 = h*n - 4*n. Is (-5 - 1)\/((-4)\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/8)\/(2\/(-12)). Let g = -13 - -14. Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5974.\nAnswer: -1\/5974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*z + 241*z - 2 + 3 + 69*z - 58*z in the form s*z + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2471 * 0.1.\nAnswer: -247.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/20 (b) 48 (c) 0.3 (d) 1\/8 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 6*l**2 + 4*l + 42. Calculate t(7).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u + 26*u + 274*u - 11*u**2 + 31*u - 365*u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 23*d**2 + 23*d - 28. Let z be a(22). Sort 3, z, 1 in decreasing order.\nAnswer: 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**2 + d**2 + (3*d - d**2 - 3*d)*(-2*d + 0*d + 4*d))*(-8*d**2 - 7*d**2 + d**2).\nAnswer: 42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:47 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*y = -230*y + 16304. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7709952, 7709970, 7709988, 7710006, 7710024?\nAnswer: 7710042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 9 - 11 = 5*l, 12 = 5*f - 21*l + 8*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -13*j**6\/2 + j**3\/3 - 7*j**2 + 118. Find the second derivative of n(v) wrt v.\nAnswer: -780*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*a + 350*a = -2*v + 14, -4*v + 10 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/3 + 152830*c\/9 - 50944\/9 = 0.\nAnswer: -25472, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(150) - sqrt(150))\/sqrt(6))\/sqrt(5).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 6. Let b be (t\/(-6))\/(28\/6). Let d be (-2 + 2)\/(4 + -1). Is d >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 10:23 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1584) + 1) - (sqrt(22)\/sqrt(2) + -5 + sqrt(11) + sqrt(44)*5)) + 1 + (5 + sqrt(396) + 1)*3.\nAnswer: 26 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*t + 3, j - 23 = -2*t - 5 - 2 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 235210919 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkwk when four letters picked without replacement from {k: 2, w: 2, d: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33433 + -33433.000026524. What is s rounded to 7 dps?\nAnswer: -0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 224 + -2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123313 is divided by 123311.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307 + -343. Calculate the common denominator of 85\/28 and (2\/b)\/((-7)\/148).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 263. Suppose d = 5*d - q*l, l = 2*d. Sort -2, -1\/3, d, 1\/5 in descending order.\nAnswer: 1\/5, d, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*40\/(-64))\/(-5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 + 3*b + 2. Let v(x) = -76*x - 232. Let l be v(-3). What is z(l)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -32\/11. Suppose -18*u = 2527 + 209. Let c be (-8)\/u*((-9)\/3 + 5). Sort -2, -6\/11, c, w in decreasing order.\nAnswer: c, w, -6\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551517?\nAnswer: 3, 23, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x*x*x**(1\/3))\/x))**(9\/5)*(((x\/x**(-1\/4)*x)\/x)\/x)**(17\/2))**(-43) assuming x is positive.\nAnswer: x**(-5719\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 4, r: 1, j: 4, m: 6}. What is prob of picking 2 j and 1 r?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.3 * -88218.\nAnswer: 1085081.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -536 and -0.1.\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 44.26443 microseconds?\nAnswer: 0.000000012295675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1065996473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 62*b**2 + 2*b + 7. Let j(w) = -w - 3. Determine -j(g) - u(g).\nAnswer: -62*g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + 4*t + 188, 173 = -y - t. Let d be (1 - 3)\/(48\/y). Solve -5*j = -d*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -543*k**2 - 5517*k - 865. Determine j(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 1 + ((sqrt(2420) - sqrt(2420)*-4) + sqrt(2420) - (sqrt(5) + -2 + sqrt(5) + -2 - (sqrt(180)\/sqrt(3) - sqrt(60))\/sqrt(12))))**2.\nAnswer: 2080*sqrt(5) + 84564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 173. Let k = 48 + d. What are the prime factors of 2 - ((-6)\/(-15) + 2135\/k)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012 take away 115293550?\nAnswer: -115289538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**3 - 890*l + 2680*l - 898*l - 892*l.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 0 + 0 + (4*a**2 - 2*a**2 - 3*a**2)*(2*a + 0*a - 3*a) - a**3 + 4*a**3 - a**3 + 31 - 31 - a**3 - 2*a**2 - a**3 + 2*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -215252.4 times 504?\nAnswer: -108487209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 1. Let k be q(-1). Suppose -z + k*z = 0. Suppose 3*v + 0*v - 72 = z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(44) + sqrt(11) + 1 + -5 - (-1 + 4*(sqrt(1100) + 2)))**2.\nAnswer: 592*sqrt(11) + 15123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 462*a**2 - 15*a + 48. Let x be p(4). Round x to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 11:55 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2225 and 17139175.\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvggxhxxgvzg. What is prob of sequence hgxz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4710 and -91\/178980.\nAnswer: 178980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from thhtthh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67516, 67503, 67468, 67411, 67332?\nAnswer: 67231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:06 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1859*l - 1672. Give k(-1).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29822.091 months to centuries.\nAnswer: 24.8517425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-32)\/6)*(-62)\/155\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 2. Let y(g) = -g**2 - g + 1. Calculate t(c) + 4*y(c).\nAnswer: -4*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222749 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 - 125*z - 196. Let b be l(-40). Suppose 3*u - h = 0, 2*u - u = -3*h. Solve -2*x - b*t + 1 + 1 = u, 6 = -3*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1225 + 860*g**2 - 860*g**2 + 88*g - 90*g - 3*g**3 as c + o*g**2 + z*g + b*g**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -639955337 - 0.4\nAnswer: -639955337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t = 39*t + 47*t + 80*f + 6, 5*t - 10 = -4*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyyyyl. What is prob of picking 1 l and 2 y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 8*k + 9. What are the prime factors of q(6)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Let s(g) be the third derivative of -g**6\/120 - g**5\/15 + 7*g**4\/24 + 5*g**3\/6 + 3*g**2. Let j be s(-5). Sort 1, j, b in decreasing order.\nAnswer: b, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -119*z**5\/20 + 97*z**4\/16 - 3*z**3\/2 + 1367. Factor u(t).\nAnswer: -t**2*(7*t - 2)*(17*t - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 477*k**2 - 1832*k - 28380.\nAnswer: -(k - 473)*(k - 10)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 249 = 56*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. Let z be n*(0 + -3 + 3). What are the prime factors of (z + -1)*(-24 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-20))\/(22\/5*-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184896495 divided by 15.\nAnswer: 12326433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -18*m + 51. Give t(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0*j**4 + 0*j**2 - 13\/20*j**5 + 0 + 2*j - 11\/6*j**3. What is the second derivative of x(n) wrt n?\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 43*a - 46 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198106695 to the nearest integer?\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8841.36 meters in kilometers?\nAnswer: 8.84136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49485 divided by -5.\nAnswer: -9897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 26899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/1069 - -2111\/9621. Factor 4\/9*z - 2\/9*z**2 - m.\nAnswer: -2*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -32411007?\nAnswer: -32411005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -118*u + 24. What is the remainder when f(-1) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668 divided by -711.\nAnswer: -668\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*o - 141 - 806 = 0, 3*i - 2869 = -5*o. Suppose g + 3*m - 177 = 0, -g + 2*m + i = 4*g. Suppose n + g = 4*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568 and 142.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0307 and -55?\nAnswer: -1.6885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8992 = -0*s + 4*g, -4490 = -2*s - 4*g. Round s to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 6. Let a = -8 + 17. Let v be w(a). Let y = v - -11. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 - -7.2. Which is the nearest to -1\/2? (a) r (b) -2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 348404.\nAnswer: 1\/87101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*h + 119, -93 = -2*x - 91. Solve 30*p = -p - h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35598 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**3\/3 - a**2 - a + 277. Let v(g) = -5*g**2 + 5*g + 3. Determine -4*v(r) - 11*y(r).\nAnswer: -2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-4)*(-138)\/(-115). Let u be 2\/r - 11\/(-12). What is the third biggest value in -0.5, 0.3, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)\/(a\/a**(20\/9))*a\/(((a\/(a*a**(7\/4)))\/a*a)\/a)*a**(-16))**(12\/11) assuming a is positive.\nAnswer: a**(-389\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 10*j**2 + 8*j - 4. Let g be i(-11). What is the highest common divisor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 10459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-128)*(262\/110 + 326\/(-1793)). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**5\/20 + f**4\/4 + f**3\/6 - 3*f**2\/2 - 209*f - 166. Let w(v) be the first derivative of p(v). Suppose w(n) = 0. What is n?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:37 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 730882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 5016.\nAnswer: 265848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56367 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1086, 4290, 9636, 17130, 26778, 38586, 52560, 68706?\n\"Answer: w**3 + 1065*w**2 + 2*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31988863601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 1\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47505, -46793, -45607, -43947, -41813, -39205, -36123?\n\"Answer: 237*s**2 + s - 47743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101.9 + -102. Let k = 1 - -4. What is the closest to j in -4, 4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - -0.02?\nAnswer: -120.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2526 - 6344. What is the units digit of (-90)\/(-108) - l\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 21 = 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14502*g**2 + 28511*g**2 + 1762*g**2 + 61877*g**2.\nAnswer: 77648*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -644451 - 2?\nAnswer: -644453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000110010010001010011 (base 2) to base 9.\nAnswer: -22105180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39, 75741, 0.3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d. Let f be m(-5). Suppose f = 2*g + r + 1, 10*g - 5*g - r - 15 = 0. Solve g*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*w - 7*w - 70 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 18*n + j - 208, n = 4*j + 218. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, j: 2, h: 1, d: 1, b: 3}. What is prob of sequence hx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9809 - -9804.053. Let z = 0.053 - o. Let q = 5 + -8. What is the third smallest value in 1\/6, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 6. Let p(g) = 9*g**2 + 11. Calculate 5*i(a) - 3*p(a).\nAnswer: -2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-18) + (-4)\/(-6). What are the prime factors of (-180)\/(-16) + y\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 972*f**3 - 111*f**2 + 1.\nAnswer: 5832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 242420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 1\/4 (b) 13.52 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 21330220000?\nAnswer: -21330220013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12154, -12186, -12264, -12412, -12654, -13014, -13516, -14184?\n\"Answer: -4*m**3 + m**2 - 7*m - 12144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -21*r + 11. Let x be l(-5). Suppose 4*h - 8 = 2*h - 3*y, -4*h + 16 = -5*y. Suppose -328 = -h*s - x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 320404*k + 25664680804.\nAnswer: (k + 160202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*d + 2 + 4, -4*t = -2*d - 14. Let v(l) = 1. Let n(f) = -18*f - 29. Let z(u) = d*n(u) - 4*v(u). What is the first derivative of z(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661 divided by -289?\nAnswer: 1661\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 4. Let c = 3 - 1. Let r(t) = -c*t + 6 + 0 - 3 + 3*t. What is r(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14097700?\nAnswer: 2, 5, 140977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -46*a. Let u(c) = -c + 1. Let r(d) = -3*d**2 - 9*d + 9. Let h(f) = -r(f) + 9*u(f). Give h(w(k)).\nAnswer: 6348*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*q**2 - 60*q - 83*q**2 + 21*q)*(2*q**2 - q**2 - 2*q**2) + (q + 4*q - 3*q)*(2 + q**3 - 2).\nAnswer: 4*q**4 + 39*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(18) - sqrt(72)\/sqrt(4)) - (sqrt(8)*-6 + (1 + sqrt(2) - sqrt(2)) + -4))**2.\nAnswer: -48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 2*c + 4*c**2 + 2*c**2 - 3*c**2 + 1 + c**4 - 201*c**3 - 2*c**2 to b + u*c + l*c**4 + a*c**2 + o*c**3 and give o.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-465)*(-6)\/(-4). Is m at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4761 - -4749. Sort -6, -2, u, 5, 4 in increasing order.\nAnswer: u, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4946239374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/120 - h**5\/20 - h**4\/12 - h**3\/3 + 32*h**2. Let l be 13\/(52\/24) + -2. Calculate k(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/282)\/(17930\/9780)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29370.34cm to meters.\nAnswer: 293.7034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1340253 - 11.5203.\nAnswer: -11.6543253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78895 is divided by 13149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28714 - -0.3892\nAnswer: -28713.6108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 3 + -5)*33. Let l = k + -28. Suppose l*c - 3*q = -7*q + 244, -4*c - 3*q = -195. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 241, 540, 947, 1456, 2061, 2756, 3535?\nAnswer: 4392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -0.069, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 - -1070c?\nAnswer: 1073c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 80 = -4*r, 2*r = -4*n + 36 - 86 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 0 + 0 + (0*s + s + 0*s)*(-2 + 5 - 2) + s - s + s)*(0 + 1 + 0).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 90*o**3 + o**2 - 2*o + 1. Let l be f(1). Let k = -431 + 467. What is the greatest common divisor of l and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 4*x**2 - 4*x - 3. Let o be q(5). Suppose -5*s + 2*m + 26 + 30 = 0, 3*s = 5*m + 26. Solve 2*k - 9 = -2*d + d, o*d + k - s = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 22*(-19)\/240 - 56\/(-420).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6975724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.327 (b) -1.01 (c) -4\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buca when four letters picked without replacement from {a: 2, c: 2, u: 1, b: 4, v: 1, z: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*m - 5*j, -3 - 1 = -2*j. Let o be -3 + 4 + 2 + -2. Suppose -2*f + 2*z - 5*z = -o, 5 = -2*f + 3*z. Put f, -5, m in increasing order.\nAnswer: -5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 7*p = 2*p. Which is smaller: p or 9\/59?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1525*s - 583225 = 1500*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + 3*z**2 + z**2)*(-z + 0*z - z) + 0*z**3 - 3*z**3 + 4*z**3 + 0*z**3 - 4*z**3 + z**3 in the form o + x*z**2 + f*z**3 + s*z and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 1:16 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 23 = -22. Solve 5*g = -25, 2*m + 9 = -2*m - z*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*u - 280*u - 50 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 11:41 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*n - 5*j, 2*n + 11*j - 16*j - 6 = 0. Let d(s) = s**3 + 11*s**2 + 19*s - 11. Does 7 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5442974*n**2*o**6 + 2*n**2*o**2 + n**2*o - n*o + 114803*n + o wrt o.\nAnswer: 653156880*n**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.6 + -55.4. What is the biggest value in y, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62474417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 927.5 + -154.5. Let h = q - 773. Do h and 472 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 3. Let v be f(-3). Is 0 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(468))\/sqrt(12))\/((sqrt(75) - sqrt(75)*2 - sqrt(75))*2 + sqrt(75)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1087 and -4448.\nAnswer: -4834976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2. Suppose 25*i - 21*i = -2*a + 4, -4*a + 14 = 2*i. Suppose 33*u = 6*u + 135. Solve a*n - s = -b + 16, u*b - 5 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5400086341317 and -9.\nAnswer: 5400086341308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.1 + -39. Let h = v + -3.7. What is h rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -18. What is the units digit of 1 + -4 + 7 + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 9*n - 53 = 0. Let y = -58 - n. Let k be 5*11\/(165\/18). Sort -1, k, -3, y in increasing order.\nAnswer: y, -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 1.07. Let d = 5 + -3. Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-3)\/(-18) + 5\/(-10). Put -20, -4, q in decreasing order.\nAnswer: q, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 13 + -1 + -4 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, -4, -5, 5, 9 in ascending order.\nAnswer: -207, -5, -4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*s = -138*s + 63307. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 43, 101, 197, 343, 551, 833?\n\"Answer: 2*t**3 + t**2 + 15*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 1. Let y be l(4). Let n = -3 + y. Let i = 2 + n. Solve 0*b - 4*b + i = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 18*b**2 - 597*b + 612.\nAnswer: 3*(b - 17)*(b - 1)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*x - 19. Solve -a + 3*g = -g + 11, 0 = a + x*g - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 22*h**6\/3 - h**5\/5 + 242*h**3\/3 - 162. Find the third derivative of b(c) wrt c.\nAnswer: 2640*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 190 = 6*g. Suppose -47*r = -g*r - 8. Solve 0 = 5*i + j, r*i + 2*j = -0 - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 6. Let r(a) = 1 + 3*a - 5*a - 2. Let w be r(5). Let f = w - -15. What is k(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2000406*b*r - 16*r - 14831 wrt b?\nAnswer: -2000406*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4615\/24 + 42949\/24. Let p = -1585 + l. Calculate the common denominator of ((-1)\/18)\/(2\/(-110)) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 273 (b) -98 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 3*w - 2. Let y(m) = -m - 17. Let x be y(-15). Give f(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 + 0*g**4 + 3*g**3 - 3*g**4 + 3 as h*g**3 + y*g**2 + s*g + n + f*g**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2211211212 (base 3) to base 8\nAnswer: -155325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {x: 2, z: 1, e: 3, o: 1, c: 1, v: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110424, -883395, -2981512, -7067367, -13803552, -23852659?\nAnswer: -37877280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 1\/2 (c) 0 (d) -1\/6 (e) 23 (f) -3\/119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, v: 2, w: 1}. Give prob of sequence wq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose -2*u - t + 55 = 0, k*t - 7*t = 5. What is the smallest common multiple of u and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 - 1\/24*g**4 - 1\/24*g**5 + 0*g + 17*g**2 - 5\/6*g**3. Let m(f) be the first derivative of y(f). Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3174.3 and -0.24.\nAnswer: -761.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2. Suppose -m + 4*m - 90 = 0. Suppose 0 = 2*z + m - 10. Let i(d) = -4*d**2. Let q(u) = z*r(u) + 3*i(u). Let p(k) = -4*k. Give q(p(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 22*x**5\/5 - 2*x + 6. Find the first derivative of j(k) wrt k.\nAnswer: 88*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 16*v - 18*v - 50800*v**2 + 50800*v**2 - 11*v**3.\nAnswer: -11*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -41584.8*-3\nAnswer: 124754.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 878382.5834629 plus 15?\nAnswer: 878397.5834629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*y**2 - h**3*y + 1044*h**3 + 30*h**2 - 1868*h*y**2 wrt h?\nAnswer: 6*y**2 - 6*y + 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 193, 615, 1431, 2773?\nAnswer: 4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*i + 5100*i**2 + 84*i - 5828*i**2.\nAnswer: -728*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4102 + -3?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**4 + 2*b**3 - b**4 + 4*b**4 - b**2 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + s = -0*s + 8, -s = -5*h - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 395317693091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-12 - (-5 - 1) - -13 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 13 = -4*a. Solve 5*x - 25 = 5*b, -a*x + 19 = -b - 4*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060853 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 4*g + 6. Let b be j(6). Let s = b - -11. Suppose 1\/2*a**2 + 1\/4*a**s - 1\/4*a**4 - 1\/2*a**3 - 1\/4 + 1\/4*a = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 14*q + 13. Let w be i(3). Let u = 20 + w. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 276. Let x = -45 - k. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/65641 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*h - 25 = -5*b, -17 = -4*b + h. Suppose 3*u = -0*u + 6. Let k = -1 + 1. What is the closest to k in -3, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -768*s**3 + 2*s - 816*s**3 + 1551*s**3 + 7403 + 7*s**2 - 926 wrt s.\nAnswer: -99*s**2 + 14*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:04 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0. Let d be (-36)\/(-6)*4\/6. Sort o, d, 5\/3.\nAnswer: o, 5\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/27 and -419.6987 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/60 - u**4\/24 + 8*u**3\/3 + u**2 + 2. Determine a(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 0.577?\nAnswer: 0.02308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:41 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p + 24. Let k be m(-9). What is the greatest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 14*d - 192 + 352. Which is the third smallest value? (a) 3 (b) -22 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -364, -4, -53, 3, 2 in descending order.\nAnswer: 3, 2, -4, -53, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3121 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53831 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 6 + 6 + (-3 - 4 + 3)*(3*g + g - 2*g))*(-g**4 - g**4 + 0*g**4).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611530238 to the power of 1\/2, to the nearest integer?\nAnswer: 24729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*p**2 + 2*p + 240*p**2 + p**3 + 3*p**4 - 118*p**2 + 2 to the form k*p**3 + f*p**2 + z*p + y*p**4 + h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/182336 and -11\/204.\nAnswer: 9299136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 2*m**2 - m + 2. Let w be t(2). Suppose 0 = d - 6*d + 2*l + 2225, w = -4*d - 3*l + 1757. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794*k + 40 = -784*k. Calculate the common denominator of 61\/6 and (k + 182\/39)*(-10)\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 377592743*n + 402924834 wrt n.\nAnswer: 377592743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1853 (base 13) to base 3\nAnswer: 11221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Calculate the common denominator of 73\/12 and p + 0 - 295\/100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(156)*-4)\/sqrt(12).\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.0778582 months?\nAnswer: 0.017315485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1372*s - 2. Let z be d(1). Suppose 16*c - z = 6*c. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let f(s) = 2039*s**2. What is n(f(h))?\nAnswer: -4157521*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (3 - (3 + -4 + 1))) + (-44 - -4).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1333\/3 - -430. Calculate the common denominator of v and (-3)\/2*8\/(-3 + 27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1623 + 1626. Let v = 0.22 + 0.035. Put v, t, -0.1 in ascending order.\nAnswer: -0.1, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*-4*(-4)\/96?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17232\/23694 - ((-1995)\/55 + 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -491383307 or -491383305?\nAnswer: -491383307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(20) + sqrt(200)\/sqrt(10))\/sqrt(4)) + (sqrt(720) + 2*sqrt(720))**2 + -5 + (-1 + (sqrt(5) - (4 + sqrt(180))))**2.\nAnswer: 49*sqrt(5) + 6625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 7 + 12)*(2*o - 2*o + o)*(-2*o + o - 4*o) in the form j*o**2 + x*o + t and give j.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/12*(-3 + 0). Suppose 2*p = -x*p + 8. Solve -2*c - p*c = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.05 + -0.05. Let n = 1.5 - o. Suppose 54*q = 49*q. Put n, 0.1, q in decreasing order.\nAnswer: 0.1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*v + 4942 = -332*v - 624*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 4*m**3 + 131622 - 131622.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 17. List the prime factors of a\/44 + 171\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 532 + -529. Solve 0*f + z*c = f - 9, 16 = 2*f - 5*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -33*k - 2575. Give d(-77).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 15, 25?\n\"Answer: 10*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {s: 5, j: 1, w: 1, f: 3, d: 1, e: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278 = 97*v + 341 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265296838*w**2 - 113790115?\nAnswer: -530593676*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (0 - (-6 + -9)) + (2 - 2 - 20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 4. Suppose 3*k + 8 = 7*k. Suppose 0 = -k*z + s - 3*s + 18, 3*z - 3*s + 3 = 0. What is the units digit of a(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2310 and 1674834?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 15*k + 2 = 0. Let w = -27 + 37. Calculate the smallest common multiple of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 921, -22.\nAnswer: -22, -14, -4, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -38571*u. Let n(c) = 2*c**2. What is n(r(k))?\nAnswer: 2975444082*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110545*q**5 - 3420*q + 22?\nAnswer: -2210900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3607 and 328226179?\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 31. Let z(r) = r**2 - 10*r - 11. List the prime factors of z(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 15 = -3*j. Let n be 0*1\/2 - 7. Let b = n - j. What is the third smallest value in -1, -3, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 18. Let n = 24 + k. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.79 - 38.8. Let t = -0.01 - b. Let n = -2.008 + t. What is n rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/101913 and -31\/1553328?\nAnswer: 327752208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y, 0 = -s + 15*y - 14*y + 131. Let c = 766 - s. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r, 5*h + 858 = -4*r + 156. Which is smaller: -135 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/22 and 3\/1048798.\nAnswer: 11536778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6)*(-41*v + 2*v + 8*v) + (4 - 2 + 0)*(0*v + v + v) - 4*v - v - 6*v + v - v + 2*v as o + y*v and give y.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28290\/54 - 10\/(-90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3447 - -111137?\nAnswer: 106580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 9. Let a be h(-11). Suppose 6*u = a*u. Solve 3*l + 4*q + 13 = u, 0*q = 5*l + 5*q + 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7*x + 2*x - 21240 = 0, b - 3*x = 5317. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a - 3*a)*(-2 + 3 - 4)*(1 + 1 - 4)*(-1 - 1 - 2)*(1 - 3 + 0).\nAnswer: -336*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 5*b. Let g be d(-6). Suppose -g*q + 3*q + 24 = 0. Suppose -q*k + 24 = -4*k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a9 (base 12) in base 4?\nAnswer: 320001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.282 + -1.38. What is g rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 5, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1026 - 1026.561. Let j = -0.037 + y. Let o = -0.66 - j. Round o to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -73. Suppose 4*l - 5*h + 22 = -33, -l - h - 7 = o. What is the units digit of (-102)\/3*l\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6484.633 millennia to years.\nAnswer: 6484633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 2) - (-23 - 1696\/(-68)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Suppose -5*n + 81 = -l + 5*l, f*n + 30 = l. Let o be 11\/4 + 6\/l. Does o = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 1397*h - 1397*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*w - 154*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/9 + 29\/(-9). Let m be 3 + (-42)\/c + 1. Solve -2*f = -0*f + 5*s + 11, -3*f + 4*s = -m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*g - 7 - 41, 5*g + 5*j = 90. Let i = -15 + g. Solve 2*v = n - 3*v - 24, -2*n = -i*v - 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1303239 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21652564 - -143?\nAnswer: -21652421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219.7 + -233. Let c = a - -13.4. What is the nearest to c in 3, 0.1, 0.81?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13036269\/127 equal to 102647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1466 - 4513 = 3*t. What is the units digit of 9\/((-36)\/t) + 1\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873920 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 4. Let n be k(-2). Let u be 14\/3 - n\/6. Suppose -4*b + v + 21 = 0, -3*b - 4*v = -7*b + 36. Solve p = b*m + 14, 4*m + u + 17 = -3*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 6. Let j be r(6). Suppose -4*i = -j*i. Suppose -4*s + 91 - 19 = i. What is the smallest common multiple of s and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 53, 118, 211, 332, 481?\n\"Answer: 14*m**2 - 5*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -109 * -0.069\nAnswer: 7.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 528, 529, 530, 531, 532?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 109?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9175946 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 110 = u, -5*v - u = -6*v + 22. Suppose 5*t - 44 = 4*t. Suppose 2*g - t = -4*q + g, -q - g = -8. Calculate the lowest common multiple of q and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let s(a) = 2 - a**2 + 1 + 5*a - r. Let v be s(4). Solve 5*w - v*l + 15 = -15, -w - 14 = -5*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + -10)*2\/2. Let o(v) = v**3 - 11*v**2 - v - 12. Let a be o(w). What is a rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53233451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 54928404 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/27 + 2\/9. Suppose -5*v = 3*m + p, 2*m - 6*m = 2*v + 12. Put 4, -5, v in ascending order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/16 + 7*h**3\/3 + 30*h**2 + 144*h - 4738. Factor m(i).\nAnswer: (i + 4)*(i + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225317889 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49319 - 27253. List the prime factors of m.\nAnswer: 2, 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssbssbssbbbss. What is prob of sequence bsss?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3500*t + 3 + 652*t.\nAnswer: -2848*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*o - 35 = 0, -2*d = -2*o - 1 + 5. Suppose -4*h = 5*n - 16, 0 = -d*n - h - h + 8. Let u = -1 + 6. Put 1, u, n in ascending order.\nAnswer: n, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 444 (b) -0.1 (c) 0.5 (d) -0.3 (e) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2228339869 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -793 + 945. What is the first derivative of -m*i**2 + 135 - 160*i**2 + 135*i + 313*i**2 wrt i?\nAnswer: 2*i + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -34, -4593?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*k + 126*k - 61*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 99463, 0.3, 4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087*b + 475520 = -1071*b. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + 2 - c**3 - 14*c**2 + 0*c**3 + 15*c**2 to g*c + z*c**2 + s*c**3 + t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301 - y - 301.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8 (b) 2 (c) 2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4 + (-9)\/84\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917915 to the power of 1\/2, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -3 + 2*z**3 + 0*z - 3\/2*z**2. Let k be i(2). Calculate the highest common divisor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 5*r. Let j be a(-4). Suppose -4*d - 440 = -11*f + 7*f, -j*d = f - 115. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/8)\/5*(3 - 5). Which is bigger: n or 1\/330?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317328 is divided by 2938?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1. Let d(u) = -3*u + 20. Determine d(k) + 4*p(k).\nAnswer: -3*k + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9880945162 - -97.\nAnswer: -9880945065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -193, -381, -569?\n\"Answer: -188*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = -5*k - 2*v, 29 = -2*v + 11. Let o(x) = x**3 + 65*x**2 - 64*x + 126. What is o(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.212 and 37.\nAnswer: 36.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 divided by 1292?\nAnswer: 201\/1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4858 (base 11) to base 10\nAnswer: 6355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6572*c - 35292*c - 5427*c**2 + 5426*c**2.\nAnswer: -c**2 - 28720*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12003 (base 5) to base 15\nAnswer: 3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000311614737 to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222365*l**2*u**2 - l**2*u - 133773*l*u wrt u.\nAnswer: -444730*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k + 2. Let d = k + 0. Solve -1 = d*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31250 and 1460?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mblb when four letters picked without replacement from smisbmmmlbmmmm?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -155, 9 in descending order.\nAnswer: 9, 0.5, -1, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + sqrt(1216) + 1 + sqrt(1216))**2) + 5 + (sqrt(1216) + (sqrt(1216) - (-1 + sqrt(1216))**2))*-1.\nAnswer: -9723 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 29*y**2 + 14*y + 42. What is w(-3)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 76768.97 micrometers?\nAnswer: 0.07676897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*b - 173 = -b, 0 = 3*r + 4*b + 144. Let h = r - -177\/4. Which is smaller: h or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 + d**2 - 280*d - 1900 = 0.\nAnswer: -10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 305, 1 in descending order.\nAnswer: 305, 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -766\/3 + 257. Let i be (-4)\/6*(-5 - -2). Suppose 5*x + i*a - 15 = -0*a, x - 3 = 4*a. Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 2:30 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.4 + 48. Which is the second biggest value? (a) 4 (b) -4 (c) -5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -8. Let i(v) = -v + 6. Let c be i(a). Suppose 0 = -2*r + 5 - c. What is the highest common divisor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 7 - 2. Let z(g) = -v*g + 3*g + 5*g. What are the prime factors of z(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*a = 59 - 58, -1 = u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) -5 (c) -235 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 782, -16, 4 in increasing order.\nAnswer: -22, -16, 4, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 462 (base 7) to base 11\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5 + 288*y**2 - y**3 - 3 - 272*y**2 + 55 - 31*y. Let o be n(14). Solve -3*x - x = 3*b - 5, -5*x + o*b = 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185448*s + 8*s**2 + 0*s**2 - 2370890*s + 1185442*s.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2. Let v(y) = 942 + 0*y - 4*y + y - 899 + y. Determine w(v(b)).\nAnswer: 24*b**2 - 1032*b + 11094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6404287*s**3 + 3687710*s wrt s.\nAnswer: 38425722*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1843438 (b) 3\/2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82839 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 312526501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 6. Let u be q(9). Let f be (0 - 3)\/(u\/(-10)). Solve a**3 + 0 + 0*a + 1\/3*a**f = 0 for a.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 124. Let d = x + -96. Let j = -18 + d. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 13. Suppose 5*q - 4 = a. Solve 0*x = -x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + (-2829)\/(-21). Let l be (36\/z)\/((-2)\/5). What is the nearest to l in 3, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 29 = 101. Factor 141*j**2 + l + 140*j**2 + 34*j - 259*j**2 + 4*j**3.\nAnswer: 2*(j + 2)*(j + 3)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-13002.5.\nAnswer: -26005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 39*m - 119. Calculate k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3390*z + 1232*z**2 + 3390*z - 1219*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-30) + (-124)\/(-60) - (-18)\/30. Solve z - 3*p = 6*z + 5, -5*z - v*p = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 102*l - 41*l - 19)*(2*l**3 - l**2 + l**2).\nAnswer: -286*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -3 (c) -4 (d) 5\/11 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52011, 104021, 156033, 208047?\n\"Answer: k**2 + 52007*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2. Let i = 2424 + -2424. Let g(f) be the second derivative of -1\/12*f**4 - 15*f + 0 + 0*f**3 + i*f**2. Determine g(m(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*f**2 + 26*f**2 + 18*f**2 + 20*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 687, -1\/151, -2\/15?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -g + 1, l + 5*g = -0 - 11. Is l*(-1 - 86) - 2 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + -1. Let w = n - 0.8. Let s = -0.0000002 + w. What is s rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*h + 4, -4*r + 0*h + 3*h + 28 = 0. Suppose -4*f + 27 = -5. Let o = f - r. Solve -o*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:00 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5 - 5. Let m = 1.7 + -1.2. What is the nearest to -0.1 in m, y, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*3*(-25)\/(-45). Let g(m) = 12*m - 80. Let s(x) = 7*x - 40. Let t(b) = p*s(b) + 3*g(b). Differentiate t(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4859180 divided by -1609.\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*s**4 - 147*s**3 + 144*s**3 + 20*s**2 - 23*s**2 - 11*s**4 in the form x*s**2 + r*s**4 + h*s + d*s**3 + z and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4936 + 4932.753. Let v = h + 3.2. Let t = -0.0517 - v. What is t rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 + 67 + 15*v - 11*v - 50 in the form z + h*v and give z.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5 - 3683630*b**4 - 2*b**2 - 2743024*b - 5 wrt b.\nAnswer: 40*b**3 - 44203560*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3222 - 599 = 3*h, 664 = a - 2*h. Calculate the greatest common factor of a and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.2537 to 1 dp.\nAnswer: -54.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2626568 divided by -29512.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in 0, -0.03, -1\/3, 1\/10856?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 1018366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + -55 - (-708 - -728)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -818 + 405. Let s = k + 425. Calculate the greatest common factor of s and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 204*d**2 - 5*d + 5. Let q(u) = -u**2 + u - 1. Give k(a) + 5*q(a).\nAnswer: 199*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -449.\nAnswer: 76\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000041651 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379 - -758. Suppose 0 = -2*y - q + 391. Solve -14*k = -y*k - 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (278\/(-1668))\/((-1)\/865668) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 + 9*c**3 + 8*c**3 - 5*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*o - 34*o - 2300 - 39*o in the form h*o + g and give g.\nAnswer: -2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:51 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/27)\/((-1)\/3 + 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/60*8*(-4 + -1). Suppose t*w - 25 = -w, m = 3*w + 1466. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1092 + 1096. Solve 4*f = 3*f + 3*x + 12, a*f - 9 = -x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:22 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/36)\/(-4*(-1)\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 7*f**2 + 7*f - 6. Let j be p(6). Suppose -3*d + 4*d - 3 = j. Suppose d*s - 1298 + 395 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 5*p**4 + 4*p**4 + (543*p**2 - 63*p**3 - 543*p**2)*(-2 + 2*p + 2 - 3*p - 2*p + 3*p + (p - 3 + 3)*(-1 + 1 + 1) + p + 0*p + p - 2 + 3 - p + 4*p).\nAnswer: -379*p**4 - 63*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -4 + 0*i + i**2 + 4\/3*i**3. Find the second derivative of m(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707?\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 358.082.\nAnswer: -341.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 3, -102, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1750*i - 1702. Give o(3).\nAnswer: 3548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, 5.1141, 2\/11, -2\/9, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2154856 * -0.084\nAnswer: -181007.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/((-22)\/(-99)). Solve 3*m - 5 = -5*j - 2*m, 2*m = -j + z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3903\/2 - -1953. Factor b*w**3 - 3\/2*w + 1\/2 - 1\/2*w**2.\nAnswer: (w - 1)*(w + 1)*(3*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180761116 to the nearest integer?\nAnswer: 13445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3170 + -1813. Let r = w + -772. Find the first derivative of -568*s - 2 - 7 + r*s wrt s.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.6438 - 1.3468. Round s to one decimal place.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11*z**2 - 6*z + 24. What is u(3)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 = -c, 2*i + 4 = i + c. Suppose t - 41 = 39. Calculate the remainder when t is divided by i + (27 - (5 + -3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/23)*p)\/(p**(-5\/4)\/p)*p**(-3\/4)*p*p**(2\/27) assuming p is positive.\nAnswer: p**(5573\/1242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2136365 and 9400006.\nAnswer: 47000030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-3 - 8 + 4)*(c**2 + 5*c**3 - 43697*c + 43697*c - 4) + 2*c**3 + c**3 - 2*c**3.\nAnswer: 71*c**3 + 14*c**2 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 36*x = 2*x + 89900. Calculate the greatest common factor of x and 744.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + d - 17, -5*d = -2*k - 20. Suppose -2*z - 4*l - 6 = 4, -5*l = -5*z + 50. Put z, 0, k, 2 in ascending order.\nAnswer: k, 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113516 divided by 26\nAnswer: -4366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 4 + 3*z - 12*z.\nAnswer: -9*z + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4290 and 121836?\nAnswer: 609180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**3 + 15*b - 35. Let k be i(2). Let v(z) = -5 - 2*z**2 - 7*z + k*z**2 - 50*z**2. Determine v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089.82 rounded to the nearest ten?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -21354a (base 13) to base 5\nAnswer: -144404040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -1)*(-125)\/10. Is 8\/10*g\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6350 and 50?\nAnswer: 6350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-5 + -4 + 22) - -8. Sort -125, -2, f in descending order.\nAnswer: f, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*d = -23*d - 279 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 - 182. Let l = 622 - i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*2*sqrt(2) + -4 + sqrt(10)\/sqrt(5) - (-1 + -1*(sqrt(128) + -1)**2)).\nAnswer: -15*sqrt(2) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*111\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 54434551 (base 6) to base 12\nAnswer: 662a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8660041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 21505?\nAnswer: -559130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 11*y + 11. What is the tens digit of v(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 220 = -0*a. Suppose -2*d - 302 = 6*f - 2*f, 4*d - 332 = 4*f. Let m = f - a. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6*f)\/f**(-2\/5))\/((f\/(f\/(f\/(f*f*f\/f**(-1\/3))*f)*f*f))\/((f*f**4\/f)\/f))*f**(1\/2)\/f**(-5)*f*f\/(f\/f**(2\/11))*f*f*f\/(f\/f**0) assuming f is positive.\nAnswer: f**(7397\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15387, -15357, -15327, -15297, -15267?\nAnswer: -15237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134035604 to the power of 1\/2, to the nearest integer?\nAnswer: 11577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.1. Let m = -2.3 - -1.9. Let g = s - m. What is the nearest to -0.2 in g, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524079 - 1478241 = -533*b for b.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 24*b**2 - 63*b - 1. Let g be n(-21). Is g <= 10\/579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875820379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -24*d - 2. Let f(c) = 2*c - 34925. Calculate f(a(m)).\nAnswer: -48*m - 34929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 14*d**2 + 12*d - 10. Let o be h(-15). Let q(v) = -v - 17. Let c be q(-9). Let z = o + c. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204588565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 639870 rounded to the nearest 10000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 72 = -3. Suppose -765 = -m*p - 2*p. Is 153 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1553815 and 0.13327?\nAnswer: 1553815.13327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 106 + 92. Solve -5*l + 5 = -b, 7*b + 25 = v*b + 4*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/51926 and 95\/42.\nAnswer: 155778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 433, 646, 857, 1066, 1273, 1478?\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 10.56\nAnswer: 2.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002924873991 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -12a08a7?\nAnswer: -12a08a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54095 - 54089 + 16*z**2 + 108184.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -679159 (base 11) in base 14?\nAnswer: -201d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + 6. Suppose -392 = -12*q - 116. Suppose 0 = -z + q*z - 330. Calculate the greatest common divisor of u and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45\/2 - -22. Which is the second smallest value? (a) 4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719.2778 minutes in seconds?\nAnswer: 43156.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*i - 303*i = 50*i + 8651 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-192)*(-116)\/609.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*1*49*(-90)\/308700\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 28878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 189?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 56. Let a(y) = 3*y + 57. Determine -5*a(u) + 6*s(u).\nAnswer: -3*u + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36505.99955383 - 36506. What is q rounded to 5 decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.2*-2.\nAnswer: 110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -51, -76, -101, -126?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (14\/60 - (-28)\/(-70)). Factor -2\/3*t**3 - 5\/6*t**2 - r*t**4 + 0 - 1\/3*t.\nAnswer: -t*(t + 1)**2*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 10*q = -21. Let h(s) = s**3 - 5*s**2 - 13*s - 7. Let r be h(q). Suppose r = -8*d - 16 + 496. Calculate the highest common factor of d and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 + -406879832377\nAnswer: -406879832377.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**3\/21 + 249*n**2\/7 - 71*n - 330. Solve x(o) = 0 for o.\nAnswer: 1, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 take away -945472072?\nAnswer: 945471831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 21 = 4*u, -4*u = -4*r - 2*u + 28. Let m = r - 5. Sort m, 1, 4 in decreasing order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26734, -27084, -28032, -29878, -32922, -37464?\n\"Answer: -50*p**3 + p**2 - 3*p - 26682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 d, and 1 a when four letters picked without replacement from adadaadndanadaa?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/213 and 41\/27.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3876 and 483049407?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 18. Let z be v(0). Suppose 3*u = -n + 3*n - 22, 0 = 5*u + 2*n + 26. Let f be u*(1\/2 - 2). What is the highest common divisor of f and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*2\/(-30) + 2881\/5. Suppose -q = -5*s + 3*s. What is the greatest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172.6 + 1122.6. Let x = -1476 + o. Let c = 525.99999342 + x. What is c rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h + 39. What are the prime factors of a(-18)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9725 - 6292. What are the prime factors of g?\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 34 = -7*v + 3*v, 0 = 2*q - v - 16. Let r be -1*2\/q*1. What is the second smallest value in r, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, -55.91, -0.3221?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l - 2 - 3 + 5.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 0*d)*(d**2 + 0*d**2 - 3*d**2) - 2504*d**3 - 2106*d**3 + 69*d**3.\nAnswer: -4537*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((10\/2 - 2) + 247). Let s = -67 + k. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -22*w**2 + 4*w - 1. Let m(k) = -22*k**2 + 4*k - 2. Let r(s) = -3*m(s) + 2*u(s). Let a be r(3). Round a to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7712 is divided by 149.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38124 is divided by 1230.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s + 8 = 0. Let g be s\/4*0\/1. Solve g = -5*f - 0*j - 3*j, 4*j = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 10*t**3\/3 + 495*t**2\/2 - 12500*t + 8. Let y(b) = 7*b**2 + 496*b - 12500. Let j(q) = -4*f(q) + 5*y(q). Factor j(l).\nAnswer: -5*(l - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*((-3*sqrt(448)*-2 + -2)**2 + 3)*-1.\nAnswer: -80676 + 960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/13 and 59\/274?\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290533\/6 + -48540. Let f = 108 - -35. Let o = f + y. What is the common denominator of 19\/8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 - (-8 + 4 + 5). Let t be (15\/6 - 3)*y. Let x(s) = -166*s + 13. Is x(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y - 8 = 0. What is the remainder when 2\/((-432)\/(-213) - y) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210077011?\nAnswer: 11, 13, 199, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061000780 a multiple of 1321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -47*c**2 - 336*c - 39. Determine y(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1798140*k**4 + 1135802*k**2 + k - 2 wrt k.\nAnswer: 43155360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 12 = 3*i, -2*i = 316*g - 321*g - 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 0.1 (c) 0 (d) 224 (e) 1 (f) -1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 41 = -x, -141 = -111*x + 108*x - c - 2*c for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12168.05mg?\nAnswer: 0.01216805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -11 (c) -5 (d) 2\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 344750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805866?\nAnswer: 2, 3, 19, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 13, -2294, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 3, -17.\nAnswer: -17, -16, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, s: 2}. Give prob of picking 4 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5 - 31*o**4 + 297*o**3\/2 - 605*o**2\/4 - 1331*o\/4 = 0.\nAnswer: -1, 0, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394143 is divided by 966.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15423 or -1449831\/94?\nAnswer: -15423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -0.3, -1992.3, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:48 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m = 97*m - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = -3*p - 90 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6*(752\/(-768) - -1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 79 - 173 - (30 - 43 - (0 + 3 + -5))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113921\/22 - -5180. What is the common denominator of h and 95\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 20 = -o, 108 = 4*h - 4*o. What is the least common multiple of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1839.3255879 rounded to two dps?\nAnswer: -1839.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352045.7 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -540970 and -540970 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 13*n. What is m(-11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96096222 and 2195.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001242 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**1*f)\/f)**(-36\/5)*(f\/(f**(2\/5)*f))**(2\/115))\/(f*f**(1\/2)*(f**0\/f)\/f)**(-2\/61) assuming f is positive.\nAnswer: f**(-505899\/35075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 53*d**2 + 42*d**2 + 2*d**3 - 6*d**3 - d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 2*t**3 - 32 + 21*t + 21*t - 4*t**2.\nAnswer: -2*t**3 - 3*t**2 + 42*t - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + sqrt(1573) + ((-2*sqrt(1573)*-2)**2 - sqrt(1573) - sqrt(1573)) + (1*sqrt(1573) + -3 - sqrt(1573) - sqrt(1573)).\nAnswer: -11*sqrt(13) + 25165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1600 + 4084. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7360 = 15*c - 10*c. Suppose 1268 = 3*k - 7159. Let j = k + c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*3)\/sqrt(5) + sqrt(17) + 3 + 1.\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 12*a + 52. Is 2 a factor of w(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2227400 and 49950?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*p + 5*q, -p - 4*q = 3*p. Suppose -p = 4*l - 125*m + 126*m, -8 = l + 2*m. Solve -5 + l = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 13 = -5*z, -3*k + 5*z - 25 = 2*k. Let g(s) be the second derivative of 0 + 1\/2*s**3 + 3*s**2 + s. Determine g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -652, -1468, -2610, -4078, -5872, -7992?\nAnswer: -10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i - i**2 + 7 + 27*i)*(2 - 2 - 6*i**3).\nAnswer: 6*i**5 - 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122\/13 + -2048\/221. Which is smaller: q or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17280*c**3 + 13833*c**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -90*k - 4. Let d be i(-1). Let n = -121 + d. Let l = n + 31. Let j(c) = -c**2 - 2*c + 4. What is j(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ca (base 15) in base 5?\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 5. Let j be k(-2). What is the third derivative of -8*z**2 - 2*z**2 + 9*z**j + z**5 - 3*z**2 wrt z?\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -459, -474, -503, -552, -627, -734, -879?\n\"Answer: -t**3 - t**2 - 5*t - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 6778894.9411374 and 0.\nAnswer: 6778894.9411374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-46) + 2)\/(-46 - (44 - 91))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83658 is divided by 445?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (119\/(-1309))\/((1344\/15092)\/16)\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 9*n**2 + 11*n + 10. Let x be y(-10). Solve w + 0 - 3 = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153\/395 - 1\/79. Which is the nearest to m? (a) 2\/5 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2*4\/(-8). Sort 6, 5, v in increasing order.\nAnswer: v, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = -3*i. Let d(p) = -2*p**3 - 1 + 2*p**3 - 2*p**i + p**3. Calculate d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2498207634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 924442636 rounded to the nearest 100000?\nAnswer: 924400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 4. Let u(x) = 13*x + 15. Let i(k) = 18*s(k) + 4*u(k). What is the units digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380 divided by 95\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1653344 divided by 154?\nAnswer: 10736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.8. Let h = 0.06 - 1.06. Which is the nearest to h? (a) 0 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 2636178?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 17.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:38 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.13 - -62. Let k = 0.13 + u. What is the second smallest value in 1\/5, -1\/2, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 - 10 = -4*y, -4*y = 4*w. Solve 23 = 5*k - 3*q + 2*q, -y*k = q - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126.93 + -825.83. What is t rounded to zero decimal places?\nAnswer: -699","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1742*k = -2266*k + 1572. Factor -6 - 63*r**2 - 27\/2*r**k - 75\/2*r.\nAnswer: -3*(r + 4)*(3*r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3083 + -1.0476. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 a factor of 5247268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64830 + 527.\nAnswer: -64303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - 1. Let o(i) = -14*i + 12. Let h be o(6). Let j be (26\/(-2))\/(18\/h). Let p = j + -53. Let l(c) = -c. What is p*k(u) + 4*l(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-10) - 3\/(-6). Suppose 0 = -2*n + t*n - 10. Let w = n + -8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0) + 0 + 1. Let d(u) = 4*u - 3. Is 9 a factor of d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150453?\nAnswer: 3, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 82 - 43 + 16*i as n + u*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283903407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (27\/24)\/((-6)\/(-4)). Let a = 17\/22 - 3\/11. Suppose 1\/4*r**2 + a + j*r = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 42*c + 4 + 6*c - 8.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4898402 take away 23?\nAnswer: -5.5101598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3\/2)*g)\/g**(-7))\/(g*g**(2\/13)*g**(-2\/9)*g))**(-3) assuming g is positive.\nAnswer: g**(-1069\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944*c + 101 = 5*y + 940*c, -2*y - 3*c + 22 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4034 by 3.\nAnswer: 4034\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**18*q)**(-13) assuming q is positive.\nAnswer: q**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 640387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 421.9748577 and 4.\nAnswer: 425.9748577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(2\/33) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 66*m**2 - 218. Let o(s) = -s - 65. Give o(d(q)).\nAnswer: -66*q**2 + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/18*3*-1. Let p = 16 + c. Suppose 0 = 3*i + 161 - 476. Calculate the greatest common divisor of i and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43520 (base 8) to base 5\nAnswer: 1041011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - y = -3, s = -3*s - 5*y - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12656*o - 63370. Calculate u(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16576\/14022111 - -2\/5919. Let v = z - -4748\/11845. Determine g so that -2\/5*g**2 + 0 + v*g**4 + 2\/5*g**5 - 2\/5*g**3 + 0*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2014*c - 742*c = 39432 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7023900 or -7023904?\nAnswer: -7023904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 19*s**2 + 323*s - 191. Let l be c(-30). Calculate the greatest common factor of 25460 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 53, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - 4 - (-43)\/(-9) and (-3)\/((-990)\/(-552)) - (-3)\/(-5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsstbstsotbstss. What is prob of sequence to?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-34)\/(-14)*1. Let c = -1043 - -1043. What is the nearest to c in w, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*f - 4686 - 335 = 439 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*x + x. Let h be (-4)\/(-24) - x\/6. Suppose 3*a + h*a = 27. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 p when three letters picked without replacement from wpmmf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2497 divided by 11?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 5*k + 6. Suppose -2*u - 5*u + 35 = 0. Let v be a(u). Solve 2*p - v*p - 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-2*r**3 + 2*r**3 + 2*r**4) - 14*r**4 + 3*r**4 + 6*r**4.\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)\/r)**25\/((r**(-2)\/r)\/r)**(-15)*((r**0*r*r)\/r)**(-1)\/(r*(r\/(r\/((r**(-2)\/r)\/r)))\/r*r)**(16\/5) assuming r is positive.\nAnswer: r**(-2424\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (398 - 179 - 57 - 53)*(z**2 - 2*z + 2*z + (4*z - 3*z + z)*(2*z - 3*z + 3*z)).\nAnswer: 545*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33855 by -37.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 760420 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163 + 3?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -4, -4, -12, -34, -76, -144?\n\"Answer: -i**3 + 5*i**2 - 6*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 0.1, 109135 in decreasing order.\nAnswer: 109135, 0.1, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13195171?\nAnswer: 11, 167, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -400, 1\/2, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let y(g) = -12*g**2. Determine -24*l(o) - 3*y(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*r + 262694, 3*t = -r + 15610 + 36916. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07466 + 64.21466. Let q = l + -35.56. Let b = q + -28. Round b to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krqq when four letters picked without replacement from {q: 6, k: 4, r: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89)\/(-1246) - (-3)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -71 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (1 - 2)) + (11 - -1). Suppose -f*j = -6*j - 988. Suppose s = -5*c + 441, -3*c - 4*s + j = s. What are the prime factors of c?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*d + 36 = v, 4*v - 63 = d. Let j = v + -9. What is the remainder when 11 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1 (c) 21 (d) -54\/7 (e) 0.2 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -145, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkks when four letters picked without replacement from {s: 3, l: 3, x: 3, k: 4}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/285 + 71*o**5\/190 + 23*o**4\/38 - 71*o**3\/57 - 70*o**2\/19 - 2959*o. Find m, given that p(m) = 0.\nAnswer: -70, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2775460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 7, g: 1, e: 1, q: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 33*v**2 - 1. What is i(33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((-12)\/(-36))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113213*j - 10914 = 112892*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6*m - 196482 = 11*m, -3*m + 98263 = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 3*y, -3*n + 4*y + 2 + 2 = 0. Suppose -4*q = -n*f - 24, q + f = 6*q - 18. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -47, -68, -89, -110, -131?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 214. Determine w(99).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1531*n - 7. Let g(w) = 252*w + 1. Determine 13*g(k) + 2*u(k).\nAnswer: 214*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*b - 16*b - 915 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 10*o = 2812. Let z(u) = -2*u**2 + 703*u - o*u. Let t(g) = 2*g + g - g. Give t(z(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8737, 30342, 66345, 116746, 181545, 260742, 354337?\n\"Answer: 7199*q**2 + 8*q + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -865.023 + 861. Let t = 97 + -101. Let x = g - t. What is x rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 615*s + 616. Let h be r(-1). Suppose 2*g + 840 = 4*g. What is the tens digit of 0 + h - g\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14046 = -49*p + 466*p + 3204 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*f = 351*f + 80 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500614 (base 8) to base 3.\nAnswer: 22100021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*a + 12515 = -618*a + 232*a + 4804 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.34919 milligrams to grams.\nAnswer: 0.00734919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {c: 1, i: 1, g: 4, s: 3, u: 3, e: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, l: 1, u: 1, m: 1, s: 1, t: 2}. Give prob of sequence mmss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v - g + 5, 0 = 3*v - 2*g - 28. Suppose 366 = v*y - 3*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008144 is divided by 408?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(847) + (sqrt(847) - 1*(1 + sqrt(847))) + 2*sqrt(847) + 3)**2.\nAnswer: 132*sqrt(7) + 7629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5*l - 144\/5 - 1\/5*l**3 + 8\/5*l**2 = 0 for l.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 5 + 3*s - 13*s + 10*s. What is f(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvsvvvv. What is prob of sequence vsv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2635 (base 16) to base 7.\nAnswer: -40342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10112*u - 30322*u + 10104*u + 10109*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1480 = 4*u. Suppose -2 = 3*y - 5, 2*y = -r + 400. Suppose 2*g = r + u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-4) + (-29564)\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/13 + 6\/91. Put 16, -4, p, 1\/2 in ascending order.\nAnswer: -4, p, 1\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, -9, 2, 3 in descending order.\nAnswer: 120, 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 11.71, -0.17, -114 in decreasing order.\nAnswer: 11.71, -0.17, -0.3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.1 (c) -2 (d) -1848 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from amnmqncmamaqmncmxmnn?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689 - 770 = -9*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p + 2*p - 2*p**2)*(-3*p**3 + 5*p**3 - p**3) + 2*p - p**5 - 2*p + (-1 + 3 + 0)*(-3*p**5 + 1 - 1))*(-1 - 1 - 6)*(-2 - 1 + 0).\nAnswer: -216*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 118*g - 6.\nAnswer: -118*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1746 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*f + 0)*(-5 + 4 - f - 2).\nAnswer: -4*f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 13 - 7 - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1647, -1635, -1599, -1527, -1407, -1227, -975, -639?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 173 = -3*b, 2*b + 0*l + l - 112 = 0. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 206358.\nAnswer: -206357.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 79. Calculate the remainder when u is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 3*f + (-4*f + 3*f + 2*f)*(-10 + 19 - 12))*(3*f + 3*f - 5*f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57225448*m**2 - 2*m.\nAnswer: -2*m*(28612724*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/19)\/(m*((m**(-3\/13)*m)\/m*m)\/m))\/((((m\/(m*m**(-25)))\/m*m)\/m)\/m*m**(-2\/5)) assuming m is positive.\nAnswer: m**(-28991\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*g + 24, 4 = 25*g - 27*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 2*t + 1. Let f(u) = -u + 5. Let z be f(9). Let i be z\/10*(-15)\/6. Let r be n(i). Put -2, -4, r in increasing order.\nAnswer: r, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 3*b + 4*b)*(b**2 - 3*b + 4*b - 7*b) to r*b**2 + m*b**3 + s*b + i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -0.012 (b) -95.3 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (399\/105 + 4)*(-1)\/(-36)*14 and (-3123)\/(-2700) + 1\/(-4).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4012283 or -4012281?\nAnswer: -4012283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1275)\/(-10) + 2*(-2)\/8. Calculate the common denominator of (2\/(-4))\/((-6)\/(-159)) and b\/(-3)*(-6)\/(10 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 800 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s = 540. Suppose s = -2*x + i, i = 5*x - 4 + 280. Let r be 209\/14 + 24\/x. Is 15 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204241*f - 204225*f - 160 = 0. Solve f*o = -14 - 76 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 25*b - 12*b. Suppose b*n = -9 + 30. Calculate the least common multiple of n and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4 + -2)*6*(-131226)\/(-21871)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*f + 5*f + f)*(-3*f + 2*f + 0*f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1183\/5070 - (-14)\/(-10)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35685 and 33489.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f - 3*y - 73, -2*y = -4. Calculate the highest common factor of f and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvaavvaaaa. Give prob of picking 3 a and 1 v.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137.09 - -136. Let v = -0.79 - l. Sort 11, v, -1 in descending order.\nAnswer: 11, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 26*y)*(-1 - 5 + 5) - 3 - 2*y + 3 in the form n*y + d and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - -22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3264 + 1752 = -26*k - 1876 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-90) - (-4 + 152\/15)) + 7. Let a(t) = -t**2 - t - 1. Let z(l) = l**3 + 3*l**2 + l + 4. What is f*z(y) + 4*a(y)?\nAnswer: y**3 - y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 2101.\nAnswer: -48\/2101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - 616*p**3 + 1 + 1 + 618*p**3 - p to the form a*p**3 + q + z*p**2 + w*p and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(5*y - 2*y - 2*y) - 84*y - 31*y + y.\nAnswer: -115*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -10*y + 24 - 27 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {e: 1, l: 1, f: 1, q: 4, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccd when four letters picked without replacement from {c: 7, u: 2, d: 4}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/6 + 304\/(-57) + -102. Let d be (-1 + a\/4)*2. Let s = d - -76. Solve -3*l - 3*x - s = 0, 3*x = -2*l + 5*x - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/16453 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 1. Let z(l) = 4*l**2 - 5*l + 2. Let p be (-6)\/(-24)*(-2 - -6). Let a(u) = p*z(u) - 5*b(u). Find the first derivative of a(k) wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-7) + (1 - 1). Suppose -j - 28 = 3*j + x, h = j + 4*x + 7. Is -7 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1334121421 (base 5) to base 13\nAnswer: 92c80b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcvw when four letters picked without replacement from {w: 2, v: 6, c: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -38*k - 3. Let h be (9\/(-18))\/(2\/(-8)). Let b(v) = 13*v + 1. Let i(p) = h*u(p) + 7*b(p). Give i(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29749, 61027, 92305, 123583?\nAnswer: 154861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 + 3925847*m**2 + m + 2512875 wrt m?\nAnswer: 12*m + 7851694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64509 is divided by 2088?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 81987964992*d**2 + 81987964992*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -337 + 619. Let r be (6 + s\/(-48))*56. Solve 6 = 2*p - 4*v, -p = r*v - 3*v - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let r(f) = f**2 + f - 5. Let h(g) = r(g) + 3*s(g). What is the remainder when 18 is divided by h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(8\/9))\/(r*r**21) assuming r is positive.\nAnswer: r**(-181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + 2*sqrt(1872) + -3 + sqrt(1872)*-1)*1 + sqrt(1872) + -2*((sqrt(1872) - (-3*sqrt(1872) - sqrt(1872))) + sqrt(1872)) + -5 + -3*sqrt(1872))**2.\nAnswer: -1581920 - 6240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100010010110111 (base 2) in base 5?\nAnswer: -30400332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 23. Let z(s) = -2*s + 0*s - 180 + 165. Determine -5*x(f) - 8*z(f).\nAnswer: f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 8*s + 0*s - 8*s.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 4*p - 3*p)*(1 + 2*p - 1)*(3*p - 2*p - 2*p) - 2 - 2*p**3 + 2 - p + 2*p**3 + p to the form f*p + n*p**2 + b*p**3 + a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:53 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128937 - -128940. Factor 2\/5*w + 0 - 2\/5*w**i - 1\/10*w**2 + 1\/10*w**4.\nAnswer: w*(w - 4)*(w - 1)*(w + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64923 times -0.04\nAnswer: -2596.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/72)\/(((160\/75)\/16)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -15. What is the second derivative of 2*x**5 - 13*x**5 + 6*x**t - 5*x wrt x?\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 1454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qll. Give prob of sequence lq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22 and 109\/1699522.\nAnswer: 1699522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15*s + 310. Let c be j(16). Suppose -t - 3*m = -9, -m + 13 = -69*t + c*t. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096206583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -2 (c) 7295\/3 (d) -1\/8 (e) -343.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68932960 by -40.\nAnswer: 1723324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(72) + (sqrt(72) - -2*sqrt(72)*3))\/((sqrt(1620) + sqrt(45))\/sqrt(5))*-2)**2*4.\nAnswer: 32768\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(2\/23)\/(n**1*n)**(-33) assuming n is positive.\nAnswer: n**(1522\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 77969, 77968, 77965, 77960, 77953, 77944, 77933?\n\"Answer: -l**2 + 2*l + 77968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**7*z**(-4)*z**(-2\/5)\/(z*z\/z**0) assuming z is positive.\nAnswer: z**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2458918, -4917835, -7376752, -9835669, -12294586?\n\"Answer: -2458917*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 + 4*o**2 + (-3 + 3 + 2*o)*(0*o - o - o) + 1 + o**2 - 1 + (4 + o - 4)*(-4*o + o + o))*(5*o**3 - 4*o**3 + o**3).\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-36) + 2\/(-8). Let i = -0.38 - 190.62. Let m = i - -189. What is the nearest to n in 0.1, -2\/9, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/11 + 32*g\/11 + 96\/11 = 0. What is g?\nAnswer: -12, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 32*p + 15 = 0. Suppose -3*g = 0, -1 = -v - 0*v + 4*g. What is the lowest common multiple of v and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 + 3*p + 3. What is the remainder when j(-3) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 16*p + 28 = -2*n, -3*n - 5*p - 23 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1649*m - 16404. Let l be n(10). Solve -2*o + 9 = -5*q, -83*o = -l*o - q - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k + 35. Let d be (0 + 2)*(0\/2 - k). Let w(g) = 2*g**2 - 28*g. Let v be w(d). Which is bigger: 2\/27 or v?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/21 - ((-60420)\/(-28))\/(-5). Let v = u + -83. What are the prime factors of v?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 36 - 3 + 13*b - 9 - 2 + b**2 + 51. Give z(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 2*l + 3. Let t(b) = b - 3*b + 0*b - 4*b - 20. Let a be t(-4). List the prime factors of c(a).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26794 and 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 42292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -26*v. Let w(r) = -23*r - 2*r**2 + 23*r. Determine b(w(m)).\nAnswer: 52*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2. Let l = 68 - 66. Let r(m) = -13*m - l*m - 12*m - 7*m. Calculate n(r(a)).\nAnswer: 8092*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 37*z - 138. Let x be o(-43). Suppose 3 = 3*p + 12. Is ((-20)\/12)\/((-4)\/x*p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = u - 6*u, -4*u = -4*c - 8. Let t(n) = 88*n**2 - 16*n - 28. What is the tens digit of t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244 a factor of 66076304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 + 33 + 24 + 66.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*g - 0*g + 120009, 3*g - 4*i + 89988 = 0. Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8785452 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-18 - 24 - 44)*(0*n - n - n) - 4*n + 0*n + 3*n)*(0 + 4 - 1)*((-4 + 4 + 1)*(1 - 1 - 1) - 6 - 5 + 5) in the form t + j*n and give j.\nAnswer: -3591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 <= 575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - 3.79. Let q = c + 1.6. Let l = -34 + 34. Are l and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(7\/9))**33\/((m**1*m)**(-12)*m**2\/(m**(-6)*m)) assuming m is positive.\nAnswer: m**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 5:41 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 606508.9 centuries?\nAnswer: 60650.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.9 and -3.5.\nAnswer: -31.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**2 - 5*o. Let v(p) be the first derivative of 16*p**3\/3 + 3*p**2 + 224. Give -6*d(y) - 5*v(y).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101112*k + 1974 = -1100830*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2166400 and -87\/2560.\nAnswer: 8665600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/14)\/((-781)\/88 - -10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*n = -6*y - 199*n + 428*n + 136, 4*y - 3*n - 95 = 0 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 360\/(-135)*(-1 + 850). List the prime factors of (-24)\/16*w\/3.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*t + 5*m - 170, -117539*t - m = -117537*t - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 274, 673, 1418, 2623?\nAnswer: 4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (145\/(-3))\/((-10)\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrijjiiri. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2639*274\/19865*(-5)\/7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000001011100110 + 110111000?\nAnswer: 11000010010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 41874?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from ffkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -4*u, 12 = i + i + 2*u. Solve -a - i = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 3)*(-a - 6*a + a)*(4 - 4 + 2 + (3 - 2 + 1)*(1 + 2 - 1)) to the form r*a + m and give r.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-1)\/75*-5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 1, -2, -3, 2 in increasing order.\nAnswer: -3, -2, -2\/17, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and (-8 - -15)*(16 + -4 + -4)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 1134?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 512321 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + (-24)\/(-15). Let w(h) = 5*h - h - o*h. Let f(d) be the second derivative of -d**4\/4 - 4*d. Calculate f(w(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709304?\nAnswer: 2, 88663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/8*(-24)\/9. Which is the closest to x? (a) -0.5 (b) -0.1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*b - 14, -4 = -5*h + b + 2*b. Let k = -2.7 - -3.7. Is h at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*(g**(7\/3)*g)\/g)\/g)\/((g\/g**16)\/g))\/(g\/g**12)**(38\/5) assuming g is positive.\nAnswer: g**(1544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -54*5.46193\nAnswer: -294.94422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 38469348 divided by -223659\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*f + 4*h - 3, f = 5*h - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2516 = 61*p + 1285*c - 1282*c, -4*c = 3*p + 143 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t + 25*t + 36*t - 112*t + 29*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:31 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 33861 = l, 5*l - 2*c - 64271 = 104970. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 95.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1492770 and 816.\nAnswer: 11942160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-5))\/(6 - (-585)\/(-100)). Let n(p) = -p**3 - 6*p**2 + 15*p - 6. What is n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(1\/(-2))*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -17 + 5. Let z = 5 + u. Let l = 7 + z. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(2*sqrt(18)\/(-1*sqrt(6)))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - 10) + ((-3 - -13) + -3 - 8)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + -0.37. Let m = -2.6 + h. Let l = -2 + 4. What is the second smallest value in 5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 8*c = 47*c + 910. Suppose -3 = -3*s + 117. Let b = s + c. Solve 0 = 5*x - 4*n - 13 + 44, -b = 5*x - 3*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*y = -5560, -z + 2*z = -y + 1852. Let v = -1103 + z. Suppose -v = -4*g + q, 5*q + 58 = 2*g - 311. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/80 + n**4\/8 - 9*n**2. Determine u, given that g(u) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/26)\/(-42*167\/121576)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1016*n**4 + 4314*n**3 + 13201734*n**2.\nAnswer: -24384*n + 25884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z + 465 = -8*z. Let b(w) = w - 19. Calculate b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 2655720.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 19*n. Let t be y(2). Suppose 0 = -3*v - t + 116. Calculate the highest common divisor of 39 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-3 - (3 - -6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*d - 39172 = 8840 - 4338 for d.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(637) - (1 + sqrt(637) - sqrt(637))) + -4)*-3 - ((-2*sqrt(104) + sqrt(104))*-1 - sqrt(104))\/(1*sqrt(128))) + 2)**2.\nAnswer: -714*sqrt(13) + 6022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {q: 2, c: 5, g: 5, v: 4, l: 3, s: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*u)*(-48 - 28 - 65) - 2*u + u + 3*u + (-5*u + 2*u + 4*u)*(-2 - 1 + 2) + 3*u + 0*u - 2*u as b + t*u and give t.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 116*v**3 + 1032*v**2 + 1840*v - 8800.\nAnswer: 4*(v - 2)*(v + 10)**2*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5004 and -29\/4976061.\nAnswer: 59712732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:44 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 1. Suppose -48*k + 181*k = -133. Let w(j) = -140*j - 120. Determine k*w(l) - 120*p(l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2\/51603 (c) -80 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.005 rounded to the nearest integer?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r + 59*r = 9. What is the third derivative of 26 + 26 + 18*x**2 - 52 - 57*x**r wrt x?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.8167856 rounded to one decimal place?\nAnswer: -146.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 4*t**3 - 3*t**2 + t**3 + t**2 + 7. Let y(s) = 122*s + 977. Let n be y(-8). Let m(c) = -c**3 + 1. Let f(i) = n*u(i) - 4*m(i). Calculate f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - ((16 - 24) + 17 - -19)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - (-1 + -1))\/(-2). Let l(b) = 0*b**2 + b**d + b**2 + 1 - 3*b**2. Determine l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/45 and -37\/105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.87 and -25.8445.\nAnswer: -100.018215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -325889062557 - -0.27\nAnswer: -325889062556.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212020 - 111110011?\nAnswer: -112022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 7*x**2 + 7*x - 2. Let l be t(6). Suppose -2*u + 7 = 11. Which is the closest to 2? (a) l (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**5\/12 + 5*d**4\/12 + 5*d**2\/2 - 1. Let r(n) be the second derivative of i(n). Solve r(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = 0. Suppose 5*o - r + 7 = -0*o, m = -3*o + 2*r. Is o at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - (-5 - -7) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by -639.\nAnswer: -83\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4 - a**2 + a**3 + 2 + 1 - 9*a - 3*a**2. Let k be f(7). Suppose 2*m + 13 = k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472366 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.193 + -3.807. Sort 0, 0.2, 2, w in decreasing order.\nAnswer: 2, 0.2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 r when three letters picked without replacement from {m: 1, f: 1, w: 1, r: 2, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 minus -1.7334114?\nAnswer: -25.2665886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -3.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + h - 16, -2*y - 5*h = 11 + 1. Suppose -q - 2*b = -148, -y*b - 712 = q - 6*q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/62 and 4\/23.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.174 - -0.126. Let v = u + -6. Let q = -5 - -5. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 393?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 267 (base 8) to base 4\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.025.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:28 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**5 - 2*p**5 + 5 - 10 + 5*p**2 + 52*p**5 wrt p.\nAnswer: 2760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let i(y) = y**2 + y + 5. Let p(a) = -a**2 - 6*a - 36. Let m(b) = -6*i(b) - p(b). Calculate m(u(z)).\nAnswer: -5*z**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*g + 24, 137 = 3*m + g + 132. Solve m*k + 8 = -n, 0 = -k + 2*n - 2 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + -1*sqrt(171))*-3 - (sqrt(171)*-1 + sqrt(171))*2)\/((sqrt(81) + sqrt(9))*6 - (2*sqrt(99))\/sqrt(11))*-4)**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/k**(-2\/43))\/k)*k\/(k\/k**(-2\/39))*k*k**(-2\/47)\/(k*k**30) assuming k is positive.\nAnswer: k**(-2296813\/78819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000619121774 rounded to six decimal places?\nAnswer: -0.000619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.1 (c) 1\/2 (d) 0.1 (e) -284077\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 72. Let s be 4*((-75)\/12 - -2). What is the remainder when 160 is divided by o(s)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66986321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521701 is divided by 150?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -251*d + 38. Let g(r) = -6. Determine 6*g(w) + u(w).\nAnswer: -251*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21101 (base 4) to base 7.\nAnswer: -1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113884771 to the power of 1\/2, to the nearest integer?\nAnswer: 10672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/5, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:57 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 22*c**2 - 121*c + 27*c**2 + 104*c.\nAnswer: 5*c**2 - 17*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5\/3 - 169*w**4\/3 - 1478*w**3\/3 + 769*w**2\/3 + 10174*w + 2520 = 0. Calculate w.\nAnswer: -30, -9, -7, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + -1. Let c = 4 + w. What is the closest to -0.01 in 1, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83981756 divided by 41990878.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 5*p. Let l be o(8). Calculate the highest common divisor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21990199.\nAnswer: 7, 11, 277, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 14. Let v be q(-23). Let b be v\/3 + 34 + -3. What is the highest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*s - 3 + 3 + 8*s.\nAnswer: 352*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571 (base 9) to base 8.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5815 times -3.4?\nAnswer: 19771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1966, 0, -192.\nAnswer: -1966, -192, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**4 + 2*c - 2*c**2 - 2*c + 7*c**3 + c**3.\nAnswer: -2*c**2*(c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 939 times -1605\nAnswer: -1507095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (66 - 59).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 106. Solve -3*r - 27 = -3*q, 9 = 2*r + s*q - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*n + 904, n + 3*p = -2*n + 528. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)*5*-1. Let s = -3 - a. Let j(l) = -l**3 - 9*l**2 - 10*l - 6. Let u be j(-8). Solve 2*t + u = 3*g, 0 = -3*g - 4*t - s - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 18. Suppose 2*t + 3*u = -45, -f*t + 0*u + u = 84. Let o = t + 35. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 15) to base 5.\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - f**3 + f**3)*(-26 - 39 + 103)*(3 + 0 + 2) - 244*f + f**2 + 244*f - f**4.\nAnswer: 189*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*h**2 + 2 + 6 + 35*h**2 to the form q + u*h**2 + i*h and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*i + 36*i + 71. Suppose r - w = 41, 0 = -4*r - 3*w + 107 + i. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 49*c = 95*c - 45*c + 10, 0 = 44*r + 2*c + 220 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1075 + 5?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -2 - -2 - -2. Let w be ((-306)\/p)\/(3\/(-50)). Suppose 227 = 3*a - 3*v - 532, -w = -4*a - 4*v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983822499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -627 less than or equal to -680714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*z**4 + 3*z**4 + 5*z**2 + z**2 wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*w**3 - 8319*w**2 + 8319*w**2.\nAnswer: 713*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:51 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from rree.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljljlj. Give prob of sequence jj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12 + (-6 - -4))*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - ((-5 - -2) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 3*g + 1. Let d(i) = 6*i**2 - 8*i - 3. Suppose -59 + 3 = -14*r. Give r*d(m) + 11*y(m).\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m + 8 = 0. What is the derivative of 2*c**2 - 3 + 0*c**2 - 3*c**m + 2 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 21 - 19 + b + (3 - 3 + 2*b)*(-1 + 0 + 2) + 0*b - 4*b + 3*b + 3*b - 3*b + b + (-5 - b + 5)*(-33 + 81 - 40).\nAnswer: -7*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1787 - 33?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 142057178\nAnswer: 284114356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -3 (c) -20 (d) 2\/3 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1872 + 1888. Let q(j) = j + 12. Let a be q(-11). Let c be -2 + (66 - (1 - a)). What is the highest common divisor of i and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/10))**(12\/11)\/(w**(1\/3)\/w)**(-3\/7) assuming w is positive.\nAnswer: w**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/78 and -8\/87?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49615466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)\/(h*h**4*h*h))\/((h*(h*h**(2\/11)*h)\/h)\/h*h**0*h))\/((h**(2\/7))**(1\/8)*h**(3\/8)\/h**5) assuming h is positive.\nAnswer: h**(-38009\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -445 - -949. Calculate the greatest common divisor of t and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - 0.1. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3.9. Let w = 46.19 - 46. Let j = w - -6.81. Sort 4, j, t.\nAnswer: t, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukkukkkukkku. What is prob of sequence kkkk?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/20*(-4 - 2). Solve 0 = -4*i - 3*t - m, -14 = -6*i + 3*i + t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - a + 163504 = 17*b, 5*a - 272490 = -5*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/9, -17, -8\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -374900 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**4 + 6*v**3 - 6*v**2 - 6*v + 2. Let m = -16 - -15. Let c(n) = -n**3 - n**2 + n + 1. Let q(g) = m*u(g) + 2*c(g). Find i, given that q(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*x - 11 - 24, -3*x = -4*p + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118a8 (base 12) in base 2?\nAnswer: -101110011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8433992 kilograms to nanograms.\nAnswer: 843399200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*a + 4687, 6*y + 6246 = 10*y - 2*a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n - 3*n**2 - 3*n**2 + 10*n**2 + 13*n**2 wrt n?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.029 + 24.329. What is the nearest to 5.1 in -0.1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:41 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - 4*r)*(-2 + 2 + 2) + (3*r + 2*r - 4*r)*(-5 - 39 + 5) + 4*r + 0*r - r.\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(76))**2 - sqrt(19)) - (sqrt(19) + (sqrt(19) + 0)**2)*-2.\nAnswer: sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 16, x: 4}. What is prob of picking 1 x and 1 w?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/12)\/(2\/(8\/(112\/42)))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*z**2 - 105*z**2 + 33*z**2 - 309*z + 36*z**2 - 1 in the form k + s*z + a*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -15, 1\/2, -0.1 in decreasing order.\nAnswer: 1\/2, 2\/23, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 5, r: 4, l: 1}. What is prob of sequence rlsr?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3953 and 682931.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3428, 6914, 10444, 14018, 17636?\nAnswer: 21298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d - 8 = 0. Let s be 1\/d + (-3)\/(-6). Solve -2*n - 3*u + 5 - 2 = s, -n = -4*u + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 3 = -5*p + k, -10 = 4*p - 2*k. Let z(g) = -g**3 - g**2 - g - 1. Let f(m) = -10*m**3 - 9*m**2 - 3*m - 10. What is p*f(w) + 18*z(w)?\nAnswer: 2*w**3 - 12*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 138843853, 138843851, 138843849, 138843847, 138843845, 138843843?\n\"Answer: -2*c + 138843855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 3062 (b) -3\/5 (c) 3\/4 (d) -81.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4394 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -1 (b) 5 (c) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 6116 in decreasing order.\nAnswer: 6116, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:48 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 8*m + 10. Let c be u(-4). Let q be (-1)\/(-6)*18\/c*-8. Solve -5*y = -4*s - 4, -4*s = -2*y - 4 - q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771210900 rounded to the nearest one million?\nAnswer: 771000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-48) - (-171)\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 16 = -2*r. Suppose 5*l - l = -3*n + 957, -r*l - 303 = -n. Suppose 4*a = -3*o + n, 0*o - 342 = -3*o + 5*a. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29248, -58491, -87734?\nAnswer: -116977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y - 228. Suppose y = 2*i + 2*i. Suppose 3*b - i = 20. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 718, 5499, 18436, 43609, 85098?\n\"Answer: 680*n**3 - 2*n**2 + 27*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5824 + 13213. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 7. Let y be o(6). Suppose 4*v - 9 - 1 = -2*t, 5*t - y = 2*v. Solve 2*p + 5 = v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 2*h**2 + 67*h - 574. Determine l(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let o = -1\/7 - 0. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -3*t + 3*a, 0 = -t - 2*a + 5. Suppose -t*b - 20 = -5*b. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3 + (-90)\/(-2). Suppose 5*y + 4 = 29. What is the greatest common divisor of y and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 360047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 + 464 = 6*k. Suppose 5*q = -4*h + 263, 2*q + 5*h - k = -2*q. Calculate the highest common factor of 170 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*f + 2738 = -f, 0 = -2*b + 4*f + 5468. Suppose -14*v + 5426 = -b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.78752 rounded to two decimal places?\nAnswer: -5.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 + -2?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r**2 + 5*r**2)*(5 - 2 + 0*r**3 - 104*r**3).\nAnswer: -208*r**5 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -559189*u**5 + 9*u**4 - u**3 + 7718625*u**2 - 51?\nAnswer: -33551340*u**2 + 216*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9))**8*p**(-3\/14)*p**(-1\/2) assuming p is positive.\nAnswer: p**(67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -1\/15 (c) -0.4 (d) -257\/1026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3 - (-4930)\/1020.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - -2*sqrt(56)*2)\/sqrt(8) + sqrt(28)\/sqrt(4)*-3 + (sqrt(7) - (sqrt(7) - ((sqrt(7) + -1)*-5 + sqrt(7)))) + -4.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 6947811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(37\/2))**(-1\/2)\/(z**(-2\/7)\/z*z*z**(-6)*z*z\/(z\/z**(-2\/3))*z**(-7)*z) assuming z is positive.\nAnswer: z**(-275\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 90*w.\nAnswer: -2*w*(w - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 28. Solve -3*b + 25 = p*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33432 - -33434.0823. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 3*r**2 + 25683 + 2*r**2 - 26228 as d*r**3 + l*r + y*r**2 + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -181302 and 5?\nAnswer: -906510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -4\/7 (c) -0.7 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {v: 2, a: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3432.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c + 41. Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 6}. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1*(-3 - -2). Let m be -1*g*(-11 + 8). Suppose -2*w - 31 = -m*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -376 (base 9) to base 3.\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.013, 1\/9, 3\/5, 0.08?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v**3 + 13*v**3 - 11*v + 5*v wrt v?\nAnswer: 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2208 = 3*y, 0*n + y - 2216 = -3*n. What is n rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 22 + 9. Let t = -29 - l. Suppose 0 = 2*k + 2*k - 8. What is the least common multiple of k and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2)*r)\/(r*r\/r**(-3)*r*r)*r**1*r*r**(3\/5)*(r\/(r\/r**(5\/3))*r\/((r\/(r**(-1\/3)*r))\/r))\/(r**(-2)\/r**(-1)) assuming r is positive.\nAnswer: r**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8897, 8916, 8935?\n\"Answer: 19*r + 8878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198587 + 60530 = -8*t - 9*t. What are the prime factors of t?\nAnswer: 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 3*g = 27*m - 34, -2*m + 6*g = 8. Let h(p) = -8*p + 10. Let t(u) = -7*u + 9. What is m*h(n) - 6*t(n)?\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122 + -20?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 3*n + 1. Let v be l(5). Suppose 2*t - v - 23 = 0. Suppose 0 = j - 2*o - 19, -2*j - 2*o - t = -4*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -116642*l. Let k(f) = 3*f. What is s(k(a))?\nAnswer: -349926*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3\/1)*-2. Let c = 7 - 6. Let v(o) = o + 3 + c - o + o. Let p(q) = 1. What is y*p(u) - v(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 33. Suppose -w*y + 32 = 2*y. Let b(v) = 2*v**2 + v - 2. Let g be b(2). Calculate the greatest common divisor of g and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3666.715 and 0.7.\nAnswer: -3666.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b2 - -1d256?\nAnswer: 1d328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*j**5 + 1\/5*j**4 + 0*j**2 + 0*j + 2\/5*j**3 + 0 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20203049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 3*h - 7*h)*(1 - 1 - 2) + 4*h + 3*h - 6*h + 6*h - 4*h + 1 + 1.\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((1120\/42)\/16) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1001110101010?\nAnswer: -1001110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-2\/9)*t*t))**33)**(-3\/2) assuming t is positive.\nAnswer: t**(275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 822*l - 5825. Give m(7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 21*n + 485. Give z(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - 4 - (-59 + 54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24236027 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 prob of picking 1 s and 1 q when two letters picked without replacement from {q: 2, i: 1, e: 6, s: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u + 26. Let g = 34 + u. Let i be 2\/g - (-13)\/(-4). Let l(p) = -p**3 - 5*p**2 - 3*p + 1. Calculate l(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1059.5 + -1059. What is the nearest to 0.2 in w, -1\/2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 515*l**6 - 516*l**2?\nAnswer: 61800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + p = -9, -2*p - 16 + 2 = 3*q. Does 3 divide 6\/q*8\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/4)\/c*c*c**6\/c*(c**(-4))**42)**(6\/13) assuming c is positive.\nAnswer: c**(-1983\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 30 - 4. Suppose h + 4 = u. Differentiate -2*y - h*y**3 + y**3 + 19 + 2*y wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 118*c + 1014. Let q be j(-8). Let p(f) = -f**2 - 11*f + 15. Let n be p(-12). Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627873 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3300, 13874, 31498, 56172, 87896?\nAnswer: 126670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7, -77, -71 in increasing order.\nAnswer: -77, -71, -7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7951\/10 at most 795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 10, -15 = 258*p - 256*p + 5*l. Let x(q) be the first derivative of -p + 1\/2*q**2 + 0*q. Let i(g) = -9*g**2. Calculate x(i(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 12. Calculate o(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 21 = 8*z - 7*z, 15*o + 96 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 854058527 and 9289.\nAnswer: 9289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -73*k**2 - 2*k + 0*k**3 + 2 - k**3 + 81*k**2 + 6. Give r(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 57225879?\nAnswer: 57225875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/4 + (-4)\/(-2). Let x be (2 + w)*3\/(-9). Suppose -x*f + 5*f - 3 = 0, 2*f + 288 = 5*p. Calculate the highest common factor of 29 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5120320844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -10. Let m be (-5 - -4) + (-4)\/(p + -3). Let l be 2\/(-3) + (-1)\/(-1). Which is the closest to m? (a) 0.1 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 + 531*16\/144 + (1 - 0)*2\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 793634 is divided by 396816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13832)\/19)\/(-8)*10\/(-40)*4.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (12 - (4 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 831251\/7 - 119290. Let q = -1132 - -593. Let s = q - m. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32956.03l?\nAnswer: 32956030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**6*c))*c)\/(c\/c**0))\/(c**(-4)*c**0)*(c**(-2\/5))**(2\/49)\/(c**(2\/3))**(2\/15) assuming c is positive.\nAnswer: c**(24023\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/8520 and 157\/168696.\nAnswer: 843480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8539 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*r - 5*l - 4 = 113*r, -2*l = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iqfiiiiiuiiiiiiif?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c + 87. Suppose -4*l - c = -5*o, 0*o = 5*l - 5*o + 115. Let k = 33 + l. Calculate the least common multiple of k and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 61 = -11. Let l(q) = -q**2 - 5*q - 2. Calculate l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6 - 2 + 11 + 258*n + 508*n to d + b*n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 1a6?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(18) + sqrt(18))*-6.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vav when three letters picked without replacement from vaayyyavvavvya?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196.2 + -196. Which is the nearest to 4? (a) -0.2 (b) i (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4882, 4881, 4880, 4879?\n\"Answer: -x + 4883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:33 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*l - 35. Let g(d) be the second derivative of 2*d - 1\/12*d**3 + 0 + 0*d**2 - 1\/6*d**l - 1\/30*d**6 - 1\/8*d**5. Let g(c) = 0. Calculate c.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = 840 - 126. Which is bigger: r or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**2*o**6 + 126*g**2*o**3 - 7*g**2*o - 1062*g*o**2 - o**3 wrt o?\nAnswer: 840*g**2*o**3 + 756*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/1771)\/(6\/21*1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -1) + 10 + 11\/((-88)\/(-504)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/(-40))\/((-1)\/(-44)). Suppose z = 5*i - 2*i. What is the smallest common multiple of 23 and i?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 3. Let g(k) = -k**2 - 3*k + 1. Let u be g(-3). Let i = -5503 + 5505. Which is the smallest value? (a) i (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 3*i**2 + 11*i + 1. Let q be p(5). Suppose -2*s = q, -2*s + 1262 + 2002 = -5*v. What is the common denominator of 143\/36 and v\/32*(-14)\/105?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5958 - -13474. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 158715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00120943 rounded to 6 dps?\nAnswer: 0.001209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(832) - (-2 + sqrt(832)*1)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27375, 54752, 82129, 109506?\nAnswer: 136883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22754, 91753, 206752, 367751, 574750, 827749?\n\"Answer: 23000*j**2 - j - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -117412 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -543*9717\nAnswer: -5276331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from taat?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 10*w + 17 + 13*w)*(3*w**2 - 2 + 2)*(0*w - w - w).\nAnswer: 18*w**4 - 102*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/(-18) - (-4)\/18. Let t be (p*(-2 - -1))\/(-1). Let b = -4 + t. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 38*g - 41. Let z be p(-37). Let y(d) = d**2 + 6*d + 2. Let q be y(-6). Sort q, z, -1.\nAnswer: z, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15841, 15879, 15979, 16171, 16485, 16951?\nAnswer: 17599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxl. What is prob of sequence le?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-24)\/(-44) - ((-186)\/(-155) - (-4436)\/(-55)) and 220?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d**2 + 257*d**2 - 78*d**2 - 72*d**2.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 2*f**2 - 5*f + 3. Calculate n(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -195 in ascending order.\nAnswer: -195, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q + 3712 = 0, 5*x - 2*q = 3025 + 1603. List the prime factors of x.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -141*a + 25 + 83*a + 60*a. Suppose -t = -4*c - 35, -3*t - 31 = -0*c + 5*c. What is the lowest common multiple of 25 and j(c)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -115504421?\nAnswer: -115504425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 5*p**2 - 2*p + 6. Let u be r(-4). Let h(x) = -2*x**3 - 3*x**2 - 3*x - 1. Calculate h(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 20 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhhvhhccrvhhhhrhrh. Give prob of picking 1 r and 1 v.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.91 + 15.1. Let k = v - 0.19. Let l = k + 14.9996. What is l rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(5\/2)))\/(b*b**35*b*b*b))\/((b*b**(3\/7)*b)\/b**(-12)) assuming b is positive.\nAnswer: b**(-713\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35473 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 less than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -170. Calculate the highest common divisor of 18 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(68)\/sqrt(64) + sqrt(17) + sqrt(17) + (sqrt(153) - 1*sqrt(153))\/sqrt(9))*-2 + 2)**2.\nAnswer: -18*sqrt(17) + 1397\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (550\/3)\/((-5)\/(-240000)). What is l rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 33) + (2 - 4) - (-3 + -24)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68981 + -29790. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + -7 - 287920\/4636?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 199846.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {b: 3, z: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16176, 64611, 145294, 258231, 403428?\nAnswer: 580891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zznn when four letters picked without replacement from zztnnztttnn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 26. Suppose -a = -c*a + 3. Let b be (-12)\/a - 2 - 2. Solve 2*t + t = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 18001?\nAnswer: -17991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115\/74 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-4)\/46 + 37989\/(-1932) + (-54)\/24.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/674, -1, -74\/18797 in ascending order.\nAnswer: -1, -74\/18797, 1\/674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4))**(-13)\/(p**9*p**16*p) assuming p is positive.\nAnswer: p**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 = -35*k + 242 - 901. Let p(i) = 60*i - 14. Let c(u) = 12*u - 3. Determine k*c(v) + 6*p(v).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*f + 413, -j - 540 = -5*j + 4*f. Let a = -1222\/9 + j. What is the nearest to 1 in 2\/13, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:00 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 6, 8, 10, 12, 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 + 652 - 306 - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + sqrt(17) + 0) - (((sqrt(17) - sqrt(68)) + sqrt(17))**2 + -5).\nAnswer: -6*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455162980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61535161*u - 123070293*u + 61535150*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-4 + sqrt(22)\/sqrt(2))) + -5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5 + 58*y + 54*y - 169*y + 58*y.\nAnswer: y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k - k)*(-2*k + 3*k - 7*k)*((0 + 0 + 1)*(3*k - 4*k + 0*k) - 16 + 16 - 10*k).\nAnswer: -198*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 plus -50?\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1305060*g - 2583510 wrt g?\nAnswer: -1305060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -s, 0 = -3*s - 2*u + u - 6. Let i be 2\/s*(-288)\/18. Put -5, 0, i in increasing order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 - 263. Let t(c) = c - c - m*c + 4*c. Let o(k) = 2*k**2. Calculate t(o(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/8*4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + -0.6. Let z = -4 - y. Let u = z - -4. Put 0.5, u, 0.1 in descending order.\nAnswer: 0.5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-4*(-1)\/2738).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(-4 + 1). Let f be -3 + 1 + 1 - 4. Put f, r, 5 in ascending order.\nAnswer: f, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/20*(-31 - (-1415)\/45). Which is the third biggest value? (a) s (b) 5 (c) -3 (d) 4 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-6))\/(363\/847))\/((-2)\/4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 429*g**2. Let w(j) = 904821 - 904821 - j + 2*j. Give a(w(z)).\nAnswer: 429*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110914*i**2*u**2*y + 152*i**2*u*y**3 + 138*i*u**2*y - 2*i*u*y**2 + 5*u**2*y**3 - 4*u + 570 wrt i?\nAnswer: -221828*u**2*y + 304*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -20*l**3 + 3210365*l**2 - 125976210*l + 31293405 = 0.\nAnswer: 1\/4, 39, 160479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o + c - 229, 20 = -4*c. Let y = o + -80. Suppose -3*l + 5*l + 14 = -3*j, -4*j + l = y. Which is greater: j or -10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15347, -30696, -46045, -61394, -76743?\n\"Answer: -15349*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-90))\/((-322)\/(-207))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 9*z + 2*z - 3 + 3.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(133) - 2*sqrt(133))*6)\/(sqrt(49)\/sqrt(112)*4).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 4, 0 in descending order.\nAnswer: 4, 0, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -t + 6, -4*y = 2*t - 17 - 1. Let a(w) = 2*w**2 - 2*w - 3 + t - 6. Let v be a(0). Solve -v = i + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*w - 8*w - 3036. Suppose -170 = 4*i - 9*i - 5*q, -4*q = 0. What is the remainder when w is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/31*1\/(-18)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**8*k)**(-49)*k**(-4\/11)*k**(5\/3)\/k)**41 assuming k is positive.\nAnswer: k**(-596263\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {z: 3, u: 4, x: 1, o: 1, s: 6}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 18 + i**2 + 8 - 2 - 24 - 6*i. Let d(h) = -h**2 + 5*h. Determine 5*c(v) + 6*d(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(6)*-5)\/((sqrt(2) + sqrt(2)*5)*-4))**2.\nAnswer: 175\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42152892 is divided by 8430572.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 705492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/7 - 22*x**2 - 2734*x\/7 - 10070\/7 = 0 for x.\nAnswer: -53, -19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 204\/13, 0.5, 1, 0.4, 0, -36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.2 (c) 42.39 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - 69\/(-21). Let m be 1034668\/20 + q\/5. Let y = m + -581734. What is y rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11100001?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6715055929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 127433243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494 + 1152 + d + 5*d - 1779.\nAnswer: 6*d - 2121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8911 and 39\/234232.\nAnswer: 1639624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = -0*b. Let v = 10 - 5. Find the third derivative of 5*s**2 - s**4 + s**4 - b*s**v + 0*s**4 wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 p when four letters picked without replacement from kkkkkpkkpkrkrkr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*v + 772*c**3*z**2 - c**2*v**2 + 293*c + v**2*z - 3*z**2 - 2 wrt z.\nAnswer: 1544*c**3*z + v**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -663 divided by 285741?\nAnswer: -221\/95247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8918628 and 7178.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*n + 0*n = -40, 3*h + 5*n - 62 = 0. Calculate the smallest common multiple of 1 + -1 + 24 + -2 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/3 - 4*b**4 + 70*b**3\/3 - 32*b**2 + 40*b\/3 = 0.\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46\/11 + 263\/55. Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r)\/r)**41\/((r**(-6)*r)\/r**(5\/2))*(r*(((r\/(r\/r**(-1\/3)))\/r)\/r)\/r*r)**(-16)*((r\/(r\/((r\/(r**1*r))\/r))*r*r)\/r)**(-3\/8) assuming r is positive.\nAnswer: r**(6875\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4931, 4937, 4945, 4955?\nAnswer: 4967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -66*a + 54. Let s be o(11). Let u = s + 1039. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562004756 divided by 140501189.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/12*((-2889)\/81 - -33).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2236, 3691, 5292, 7039, 8932, 10971?\n\"Answer: 73*s**2 + 1236*s + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4189 and -197.1.\nAnswer: -825651.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(612) + 4))**2 - (5*sqrt(68)*1*2)**2.\nAnswer: -1296*sqrt(17) + 42916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2273 - 2222.69. Let n = y + -50. Let z = n + -0.25. Which is the second smallest value? (a) 3 (b) z (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4996 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4508 (b) 0.5 (c) 4\/3 (d) -1 (e) 0.3 (f) -0.21 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 3*i**2 - 6*i)*(4 + 8*i - 4)*(0 + 0 - 4*i).\nAnswer: -96*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 - 5*p - 7. What is v(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 202*x + 4731. Calculate n(175).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 94*j + 256. Determine i(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -9*h - 102. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + sqrt(405) + 4 + sqrt(405) + (sqrt(225)*2)\/(-3*sqrt(20)\/sqrt(4)).\nAnswer: 6 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26324 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j**4 + 2\/5*j**5 + 0*j + 3 - j**3 + 0*j**2. Find the third derivative of r(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17204\/(-38709))\/((-32)\/63)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 + 39*h**2 + 7*h + 44. Let d be x(10). Calculate the greatest common factor of d and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 (base 13) in base 9?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2880 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + t**3 + 4*t**3)*(-77 + 8*t + 77).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {h: 1, q: 5, z: 5, d: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 10*p**2 + 23*p - 230. Give x(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*k + x, -140 + 126 = -k - 4*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/7*(0 + -7). Calculate the greatest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*g - 363*g - 197*g + 4184 - 7189 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8583 millennia in months?\nAnswer: 238299.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l**2 - 13*l**3 + 10*l**3 - 3 + l**2. Let n(x) = 2*x**3 - x**2 + 2. Calculate 3*a(j) + 5*n(j).\nAnswer: j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - 4*u**2 + 6*u - 6. Calculate p(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 + 44*i**3 - 192*i**2 - 576*i = 0. What is i?\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 324 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.094467 decades?\nAnswer: 0.09094467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 1 + 8*w - 93*w)*(3*w**3 + w**3 + 0*w**3).\nAnswer: -364*w**4 - 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/18)\/(2\/8))\/(-2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (145*v**2 - 241*v**2 - 2*v + 1 - 92*v**2)*(-1 - 4 - 3 - 13) to m*v**2 + u*v + w and give m.\nAnswer: 3948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 - 62*w - 316. What is the thousands digit of n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3530542868 or 1?\nAnswer: -1\/3530542868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170282755 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/30*(-1350)\/81.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 9, b: 1, r: 4}. Give prob of sequence rrul.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1164988*n**2 + 1321452*n wrt n.\nAnswer: -2329976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7*20131.1\nAnswer: -140917.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -0.6 (c) 1 (d) 3 (e) 9 (f) 1\/25 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -2*i. Which is the closest to -2? (a) -3\/4 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30953987 * 13.\nAnswer: -402401831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g - 24. Let s(m) = m**2 + m. Does 8 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18596.\nAnswer: 2, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 780841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 4 - -10)*(-13)\/(-4). Which is smaller: v or 27?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8975 + 8994. Solve j = 7*n - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*b**2*j**5 + 208*b**2*j - 3*b*j**5 + 2*j wrt j?\nAnswer: -520*b**2*j**3 - 60*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164641?\nAnswer: 31, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20\/749 + -19176\/605941. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3060080 and 1775651.\nAnswer: 4835731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - 4*q**2 + 0 + 2 - q + 7*q**3 + q**2 to m*q + t*q**3 + i*q**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8510 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-7) + (-2)\/7. Let z = 1.4 - 6.5. Let v = z - -6.1. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(15)\/(sqrt(3) + sqrt(300)) + sqrt(5) + -3 + -1)**2 - ((sqrt(20)\/(sqrt(8)\/sqrt(2)) - sqrt(5)) + 2 + 4)).\nAnswer: -96*sqrt(5)\/11 + 1930\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-7)\/3*(-6)\/5*(-555)\/(-1554))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 645.4473 years?\nAnswer: 7745.3676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38727072 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: Work out 1.439 * -0.2.\nAnswer: -0.2878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 16) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9225949 micrograms to nanograms.\nAnswer: 922.5949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -284277 (base 10) in base 11?\nAnswer: -184644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13149*d + 13140*d + 126 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0 + (2*j + 1 - 1)*(4 - 4 + 2) + 7*j - 23*j + 85*j)*(-3*j**4 - 2*j**4 + 3*j**4).\nAnswer: -148*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -90*a**7\/7 + 2506*a**3\/3 - 2064. What is the third derivative of x(i) wrt i?\nAnswer: -10800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9801418*-0.2\nAnswer: 1960283.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5639398*p + 5. Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/3 - 355*v**4\/3 + 357*v**3 - 1073*v**2\/3 + 358*v\/3 = 0.\nAnswer: -358, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 192.95, 5 in increasing order.\nAnswer: 1, 5, 192.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {j: 1, p: 1, v: 2, l: 3, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -7, -18 in increasing order.\nAnswer: -18, -7, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1005907 and 1377.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17470787 is divided by 889?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, t: 1, y: 1, c: 2}. Give prob of sequence yt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 24*h + 41. Let j be c(6). Suppose 2*r = -2*w - 0*r + 12, -5*r = -j*w. Let z be (-4)\/(2\/(-6)*-2). Put w, 5, z in descending order.\nAnswer: 5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 2*b**2 - 2 + 0*b**2 + (0*b**2 + 3*b**2 - 2*b**2)*(0 + 2 + 0).\nAnswer: 4*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -18*h - 129. What is the hundreds digit of 17226\/126 + (-6)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1072*b**5 - 140609*b**3 + 408350652*b?\nAnswer: -21440*b**3 - 843654*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 207*r - 116. Let u be q(1). Solve 4*k = 71 - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.9, -5, -137202?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021213112 (base 4) in base 3?\nAnswer: -120022121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2. Let s = 61 - 54. Let a(v) = -4 + s - v - 3. Determine u(a(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8096.6ml in litres?\nAnswer: 8.0966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -1034, -2305, -4062, -6293, -8986, -12129, -15710?\nAnswer: -19717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from ddddudttdd.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.6621 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Suppose 0*a - 5*a + 100 = u. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*k + 2*v, 40 - 49 = 3*k - 5*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20776 divided by 20776.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkhiknipikpkpip. Give prob of picking 2 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**2 + 4*w - 4. Let y be u(1). Let n be 178\/y + (-34)\/(-119). Solve -5 = -2*s - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*d - 12 = 0, -2*d - 36 = -5*y - 6. Suppose -y*g = -9*g + 1065. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 143.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4, 15 in decreasing order.\nAnswer: 15, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24564 and 599748.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38440 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322.35127 rounded to the nearest ten?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11133 + 11173. Let b(a) = -16*a. Let p be b(-1). What is the highest common divisor of p and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/7 + 1 + -23. Let a be (-6)\/21 - l\/(-28). Let i(r) = 5*r**3 - r**2 - r - 1. Determine i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - c + 1. Let z(b) = -4*b**2 + 1409 - 697 - 705 - 21*b + 16*b. Determine -6*q(n) + z(n).\nAnswer: 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3100 and 5828.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-17)*3*((-2)\/(-2))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 12. Let v = -1 - x. Let a = v + -1.9999976. What is a rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*b - 5*b + 11*b**3 - 4*b**3 + 4*b**4 + 17*b**3 = 0. What is b?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - w**2 - 12*w - 24. Let m be q(8). Suppose 3*x = 4*s - 8*s + 1495, -5*s + x = -m. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 72. Let j(l) = l + 90. Let b(r) = -4*j(r) - 5*t(r). Let s(v) = -946*v**2. Calculate s(b(u)).\nAnswer: -946*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 1)*(3*o**2 - 3*o**2 + o**2) + 2466*o**2 + 2580*o**2 - 5223*o**2)*(-2*o + 0 + 0) in the form t*o**3 + i + w*o + d*o**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153295 and 3956.\nAnswer: 613180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*o**3 - 7*b*o*x + b*o - 4*b + 2*o**3*x - 2*o**2*x - 2*o**2 wrt x.\nAnswer: -7*b*o + 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 4)*(-690 + 690 - 8*h**2)*(0*h + 4*h - 3*h + (-2 + 2 + 4*h)*(-3 + 0 + 2) - 3*h - 2*h + 4*h) to the form c*h**2 + n*h + k + r*h**3 and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**2 - 3*v + 0*v + 3 + v + 3. Let u(h) = -2*h + 2. Calculate 3*j(m) + 4*u(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*y + 266*y + 244*y + y**2.\nAnswer: y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114) - sqrt(114))\/sqrt(6))**2 - sqrt(76)\/(sqrt(4)*3).\nAnswer: -sqrt(19)\/3 + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.3505l in millilitres?\nAnswer: 290350.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 11, -41.\nAnswer: -41, -3, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -36. Let i(c) = -3*c + 2. Let x = 21 - 11. What is the lowest common multiple of x and i(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581775*o**4 + 8*o**2 - 4*o - 1438 wrt o.\nAnswer: -13962600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -1*sqrt(119))*3)\/(-4*(sqrt(7) + sqrt(448))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1714 from -2.28.\nAnswer: -1716.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 130443?\nAnswer: 64\/130443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276274 and 1070.\nAnswer: 1381370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*2)\/(sqrt(80)\/sqrt(2)) - -6*(sqrt(10)\/(-2*sqrt(5)) + 3).\nAnswer: -sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/3 - l**2\/2 + 14*l - 2. Let x(u) = -2*u + 4. Calculate the smallest common multiple of x(-3) and d(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -33\/2 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1991518562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6650223 divided by 3\nAnswer: 2216741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -19*u**3 + 1293*u**2 - 66*u - 125. Determine d(68).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2*16\/(-12). Let g be ((-4)\/h)\/((-4)\/240). What is the remainder when 58 is divided by (3\/2)\/((-3)\/g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3946.2 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1854 times 0.057?\nAnswer: 0.0675678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 21 + (-5 - -7) - (-9 - 3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.028 - 0.172. Suppose 0 = 17*i + 17 + 68. Let v = -53 - -51. What is the closest to 0.03 in h, i, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t - 6*t - 440*t**5 - 66*t**3 + 26 + 66*t**3 - 96 wrt t.\nAnswer: -8800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from bbbcuub.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 8 + 2. Let g = 34 - 34.5. What is the third smallest value in u, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70864?\nAnswer: 2, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(2 + sqrt(304))*1 + (-4 + (sqrt(304) - (sqrt(304) + 1)) - (sqrt(304) - 2*1*sqrt(304) - sqrt(304)))**2.\nAnswer: -96*sqrt(19) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6370\/3 at most -2124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 + 9 + 11)*(-3 - 3 + 4) + 0 - 3 + 5)*(0*n - 4*n + 3*n).\nAnswer: 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -171. Factor -28*k**2 + 54*k**3 + 64*k**5 - 24*k**4 + 71*k**5 - i*k**5.\nAnswer: -2*k**2*(k - 1)**2*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by -78?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 614*h**3 + 2*h**4 - 620*h**3 + 0*h**4 to o*h**3 + r*h**2 + d + k*h + v*h**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f - 6 = 0. Let a be 2\/(-2) + (-6)\/f. List the prime factors of -1 + a + (1 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 122364487 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5077 + 5076.9. Which is the biggest value? (a) -317\/11 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -53 (b) 3.5 (c) -3170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12*w = 17*w + 12, -2*t = 11*w - 8. Solve t*r - 24 = 3*d, -r - 9 = 12*d - 9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 50*k - 312.\nAnswer: -2*(k - 13)*(k - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7.5982587*3\nAnswer: -22.7947761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/5 - 9553426*r**3\/5 + 22816987084369*r**2\/5.\nAnswer: r**2*(r - 4776713)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 2. Suppose -50 = 4*g - 5*u, 3*g - 3*u + 5*u + 49 = 0. Let t = 17 + g. What is the smallest common multiple of t and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-24)*(-3)\/(6\/(-8))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 15*x**2 + 17*x + 42. Is v(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223203 (base 4) in base 16?\nAnswer: -ae3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j. Let w(c) be the first derivative of -15*c**2\/2 - 11*c + 7. Let v(o) = 8*o + 6. Let n(y) = 11*v(y) + 6*w(y). Calculate l(n(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y - 48 = 3*a, -4*a - y = 64. Let o be 5 - 1 - a\/(-8). Solve 8 = -4*c - 5*s + o*s, -2*s + 2 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 1918516406.4?\nAnswer: -1918516406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 8 = b, -2*b = 2*u + 2*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/3 + 2\/6. Let z(w) = -3*w + 7*w + 2*w - x*w. Let o(i) be the first derivative of i**3\/3 + 1. Calculate z(o(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -727 + 729. Let w(h) = -23*h + 115. Let i be w(5). Factor -4\/5*p**3 + i + 8\/5*p - 4\/5*p**g.\nAnswer: -4*p*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-12)\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrprsrf. Give prob of sequence sfp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (10 - 24) + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/4949 - 8796\/2726899. Let r = x - -567\/4408. Factor 0 + 1\/4*f**2 - 1\/8*f**3 - r*f.\nAnswer: -f*(f - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 17420, -5, -0.5.\nAnswer: -5, -2, -0.5, 0, 17420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/((-434)\/(-84)) + 10 + 0 - -18.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39476 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 8*c + 4. Let p be l(-8). Suppose -p*w - 265 = -5*i + w, -177 = -4*i - 3*w. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 3. Let u be n(-2). Let b be (-2)\/4 + (-28)\/(-8). Let d be 5*b\/u + -1. Put 2\/3, 5, d in ascending order.\nAnswer: 2\/3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 20*s**2. Let r(y) = -168382*y. Determine r(v(n)).\nAnswer: -3367640*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.054 + -4.546. Let x = i - -4.53. Round x to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -29 + 53. Let h(y) = 3*y + 2. Calculate the lowest common multiple of h(4) and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3919*v**4 - 4*v**3 + 5*v**2 + 2336978*v?\nAnswer: 47028*v**2 - 24*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -395*f**3*i**2 + 3*f**3 + 6*f*i**2 - f wrt i?\nAnswer: -790*f**3*i + 12*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32001 (base 4) to base 9.\nAnswer: -1206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752465413?\nAnswer: 1752465413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*z**2 - 741*z - 2398763 wrt z?\nAnswer: -272*z - 741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/110 and -94\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -87892 bigger than -87893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 162*m + 79 - 28 - 3*m + 24.\nAnswer: -165*m + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 57, 123, 215, 333?\n\"Answer: 13*a**2 + a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g**3 - 2*g**2 + 6*g + 8. Let l be n(-1). Solve 0 = -l*q + 7*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 263 - 1355?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (56 - 163 - 65)*(45*r**4 - r**2 + 33 + 12 - 43) as v*r**4 + o*r + s + d*r**2 + a*r**3 and give v.\nAnswer: -7740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*d + 1299 - 1323 = 0, 3*q = d + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = -5*a - 2, -p - 5*a - 17 = 0. Let o(m) = -12 - 3*m**2 + m**3 + m + 12. Let f be o(p). Does 3 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/170567 and -51\/281?\nAnswer: 170567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175372957?\nAnswer: 59, 1019, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 100.8, -0.1, -2\/3, -23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5493173458 to the power of 1\/2, to the nearest integer?\nAnswer: 74116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29623*d**2 + 29625*d**2 - 3*d - 2*d - 3*d**4 to the form g*d**3 + p*d + x*d**4 + j + f*d**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i + 4430 = 61*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -804189.27 to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.18 + 5.82. Round i to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (111\/(-4))\/((-21)\/84). Suppose k*o = 114*o - 3. Solve -2*w = -5*f - 9, f + o - 4 = 2*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.443, 21, 3\/4, -1\/2.\nAnswer: -1\/2, -0.443, 3\/4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.5 + 17.5. Let u = 111 - w. Which is the third smallest value? (a) u (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -138, -4, -0.023, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 252512?\nAnswer: 252504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -877*q + 7. Let d be z(-5). Let y = d + -52751\/12. Find the common denominator of -2*2\/((-96)\/250) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86d (base 16) to base 6.\nAnswer: 13553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1343 and -98128 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**4 + n**3 - n**2 + n - 1. Let q(h) = 2*h**5 - 10*h**4 + 8*h**3 - 2*h**2 - 2*h + 2. Let v(z) = 4*f(z) + 2*q(z). Suppose v(i) = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 - 2*k + 8. What is the thousands digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 - -29. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + -41 + 40. Let w be (6\/(-21))\/z - (-6)\/(-21). Solve -3*v - 12 = -3*f, -4 = -2*v - w*v - 4*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1132 - -1140. Solve -26 = -w*f - 34 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:57 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1216667, -15 in descending order.\nAnswer: 0, -15, -1216667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 2*j - 1. Suppose 4*w = -6 - 2. Determine s(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(6*j + 3*j + 5*j) + (-1 + 1 - j)*(-1 - 1 - 1) to s*j + i and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.65 + -0.05. Let v = z - 2.3. Let b = v - 1.3. What is the third smallest value in -3\/2, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -2069?\nAnswer: 6207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1342 and 0.1.\nAnswer: -134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -1\/5 (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 - 25792*i\/5 + 41576704\/5.\nAnswer: 4*(i - 3224)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183 by -5.\nAnswer: -183\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + 2. Let h(m) = 30*m - 13. What is 6*h(j) + 34*i(j)?\nAnswer: 10*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 e, and 1 j when three letters picked without replacement from kkjcterr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1977.\nAnswer: -8\/1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*h**2 - 14*h + 7*h + 7*h.\nAnswer: 401*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121596355 by -5.\nAnswer: 24319271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9309, 9324, 9369, 9462, 9621?\nAnswer: 9864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1 - 3*(-1 + 0). Suppose 171 = x*f + 21. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 2*c**3 + 3*c**3 + (0*c + c**2 + 0*c)*(-2*c - c + 2*c) + (2*c**2 + 50*c - 50*c)*(c + 5 - 5).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/9785 + -22312\/21527. Calculate the common denominator of g and 94\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:23 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 0*a - 210*a**2 - 44*a**2.\nAnswer: -254*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0*(b*b**13\/b)\/b)\/((b*b**(-4\/7))\/(b\/(b\/b**(2\/3)))) assuming b is positive.\nAnswer: b**(278\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -36, -1\/2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.28 - -0.28. What is the biggest value in v, 1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, y: 1, k: 1, c: 2, n: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6629*u**4 + 2*u**2 + 23310*u.\nAnswer: -79548*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (849\/(-3679))\/((-2)\/(-39))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.17 + 6.52. Round f to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - v + 6 = 0, 0 = j - 5*v + 18. Let m be j\/1*(-3)\/(-2). Suppose m*q + 2*q - 180 = 0. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:23 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 2:21 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.7308 times 3?\nAnswer: 176.1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 23 + (10 - 25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a + 1\/6*a**3 - 1\/2*a**2 + 1\/16*a**4 - 5. Factor n(l).\nAnswer: (l - 2)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 6, -3\/4, 2\/5 in decreasing order.\nAnswer: 82, 6, 2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - -1) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15361 + 15361.0000093463. What is g rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*((g**(-1\/6)*g)\/g)\/g)*g)\/g*g\/((g\/(g\/(g\/g**(14\/3)))*g)\/g))**32 assuming g is positive.\nAnswer: g**(560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303065.3nm to millimeters.\nAnswer: 0.3030653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/11 (c) -0.985 (d) -0.2 (e) -862\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56466767, -56466770, -56466773, -56466776, -56466779, -56466782?\n\"Answer: -3*w - 56466764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928619?\nAnswer: 928619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119803?\nAnswer: 19, 58937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32\/511195 or -1?\nAnswer: 32\/511195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*h = 10 + 3, 4*h = 5*i - 7. Suppose i*r - r - 2 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 9}. What is prob of picking 1 h and 1 k?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = 3*p. Let d = 9 + p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -242 + 32. What is the remainder when -4*u\/4 - 2 is divided by 12\/(-6) - (-15 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3\/(-2))\/((-26)\/156))*756\/180.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83119830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2*m - 4. Let n be (38\/8 - (-12)\/48) + 0. Let d be v(n). Calculate the greatest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 22284?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 632 - 2654 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 416*r + 5632.\nAnswer: 4*(r - 88)*(r - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -361122472?\nAnswer: -361122472.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 343, 86.432, 3 in increasing order.\nAnswer: 3, 86.432, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -814362, -1628997, -2443632?\nAnswer: -3258267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - u**3 - 5*u**3 - u**2 + 4*u**2 + 2 in the form o*u + c + x*u**3 + f*u**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffee when four letters picked without replacement from eeeeeeeefefeefefeeee.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-21)*(-28)\/4. Suppose 30 = -s*a + 12*a. What is the remainder when 58 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/61347*(-330)\/10.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgevbbog. What is prob of sequence geg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 158 = 4*a. Suppose 2*b - 3*b - a = -x, b + 85 = -5*x. Let m = -54 - b. Calculate the remainder when m is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 185*a**3 - 2*a**2 + 4*a + 3. What are the prime factors of q(2)?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 - 88. Which is greater: 76\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -10. Suppose -4 = -3*x + t. What is the greatest common divisor of x and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*a**3 + 84*a**3 - 177*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14374674 divided by -3?\nAnswer: 4791558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1324*g + 662*g + 660*g. Let p(y) = -327*y. Determine u(p(h)).\nAnswer: 654*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 133303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163416157 - 3?\nAnswer: 163416154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1511, -11, 43 in descending order.\nAnswer: 1511, 43, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-11)\/(847\/(-14)) - 42\/(-11) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 2:17 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2 in descending order.\nAnswer: 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 7*g**2 - g + 9. Let o be (-2)\/7 + (-375)\/35. Let r = o + 18. Let m be y(r). Solve -l = l - 3*p - 19, -m*l - 2*p = -4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:37 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6414 - -6416. Let k(m) = -m**3 + m + 1. Let c(h) = 4*h**3 - 3*h - 2. What is p*c(w) + 6*k(w)?\nAnswer: 2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2\/2 + 9*v\/2 - 60 = 0.\nAnswer: -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*d + 28 = 0, -8 = 2*a - 0*a + 4*d. Suppose 3*m + 3*g - 93 = 0, 4*g - 3 - 17 = 0. Let t be m\/a - 8\/(-16). Solve -5*r - t = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 - -142. Let j(g) = 3 + 9*g - 27 - p*g + 23*g. Calculate the least common multiple of 12 and j(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -2709034.7?\nAnswer: 2709034.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13021 (base 6) to base 7.\nAnswer: -5464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/7)\/(20\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29172292.\nAnswer: 2, 7293073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 11:27 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 - 10 - -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 61 - 66 - 2*t**3 - t**2 + 0*t**3. What is the units digit of k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*s - 556 = 0, 3*c - 187 = 4*s + 225. Let y = c + -138. Let l = 3 + -5. Which is greater: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/24 and 1\/8520?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 135*q**2 - 5463*q + 47834. Give c(-169).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-3)\/(3\/2). Let j = -1 + a. What is the remainder when 5 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 10131011143?\nAnswer: 10131011140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 14 + -9 + 4 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 2}. What is prob of picking 2 f and 1 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 683470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4185945.76 to the nearest 1000.\nAnswer: 4186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 695, -40, 0, -16, -14 in ascending order.\nAnswer: -40, -16, -14, 0, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 30. Determine d(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**2 + 0 - 8125\/4*g**5 + 0*g + 1\/24*g**4 + 4\/3*g**3. Let o be b(-8). Round o to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:16 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010011101011001101 (base 2) to base 10.\nAnswer: 2439885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -23*y**2 + 4*y + 23. Let p(f) = 26*f**2 - 5*f - 27. Calculate 5*m(r) + 4*p(r).\nAnswer: -11*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 527.3 - 556. Let v = -25 - f. Let c = 3.7000023 - v. What is c rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*z + 162. Is z - 0\/(1\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11456 + -7756. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378.8 < 5759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -35 - (-1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:09 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10.25 (b) -7 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*l**2 - 167*l + 311*l**2 - 162*l**2.\nAnswer: -4*l**2 - 167*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 22*z - 8. Let c be (-374)\/(-102)*1*-6. Give i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 + 2*h**4 + 2*h**2 - h + 8 - h**4 to r + c*h + x*h**2 + u*h**3 + d*h**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x**3 - 4*x**2 - 35*x + 4. Let a(p) = -20*p**3 + 5*p**2 + 36*p - 5. What is 4*a(z) + 5*y(z)?\nAnswer: 15*z**3 - 31*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451186873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 3. Let l(g) = 4*g**2 - 9*g - 3. Let b(d) = 5*i(d) - l(d). What is the units digit of b(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 47, 68, 97, 134, 179, 232?\n\"Answer: 4*r**2 + r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.68, 0.5, 2\/5, -6.6, 0.1, 0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 57?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 2. Determine t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 0)*3\/(-3). Let j(b) = 4*b**2 - 3*b - 3. Let t(m) = -12*m**2 - m + 6*m + 3*m + 8 + m**2. What is u*j(q) + 3*t(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + 22. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73243 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52706948 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -203330*a - 10. Let t be p(3). What is t rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143860275*d*n**2*t**2 - 40*n**2*t**2 + 7*n**2*t + n**2 - 596*n*t**2 - 3 with respect to d.\nAnswer: 143860275*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -176, 2\/9, 3, 3\/167, 19, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 20*v**2 + 0*v - 310\/3*v**3 - 255\/4*v**4 + 133. Determine p, given that t(p) = 0.\nAnswer: -4\/3, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c, -8*d + 5*d + 799 = 4*c. Differentiate 75*v**4 + 265*v**3 + 47 - d*v**3 with respect to v.\nAnswer: 300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g - 3477 = -7125. Let s(h) = -h**3 + 14*h**2 - 22*h + 3. What is the remainder when s(9) is divided by g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 12. Let a be t(-7). Let g be -4 + (1 + a\/1)\/(-1). What is the closest to 1 in -1\/3, 3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 27*a - a**3 + 12*a + 16*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 3*x**5\/10 - x**4\/12 + x**3\/3 - x**2 - 7*x. What is the lowest common multiple of 25 and p(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h**2 - h + 2. Let w(x) = x + 5. Let o be w(-3). Let p be v(o). Suppose p = 4*s - 339 - 157. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - (sqrt(288) + ((0 + sqrt(288))*2)**2).\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 2*q**4\/3 - 2*q**3\/3 - q**2\/2 - 24*q. Is n(7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalzzzaeezaaqaezq. Give prob of picking 1 l, 1 a, and 1 e.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222904*p**2 + 1222893*p**2 + 2*p**3 - p**3.\nAnswer: p**3 - 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -590 + 534. Let z = u + 56. Sort 0.5, z, -3, 2.1 in decreasing order.\nAnswer: 2.1, 0.5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*c - 97 + 46 + 51.\nAnswer: -803*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.22582 less than 145?\nAnswer: 119.77418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 5. Let p be n(3). Let w = -19 + p. Is 6 a factor of -2 + (0 - w) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 14 = k, 20 - 10 = d + 3*k. Put -49, -2, d, 1 in descending order.\nAnswer: d, 1, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 284\/48 - 1 - 8\/32. What is o in 2*o + 4\/3*o**2 - f*o**3 + 4\/3*o**4 + 0 = 0?\nAnswer: -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 709, 707, 707, 709, 713?\n\"Answer: g**2 - 5*g + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by 1050?\nAnswer: -47\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3516)\/(-1188) + -3 + (-4)\/(-18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4672*d**3*m**2 - 194*d**3 + 3*d**2*m + 1451622*m**2 wrt d.\nAnswer: -28032*m**2 - 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -91423 - -37?\nAnswer: -91386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4116\/1751 - 24\/103. Let r = 60319\/4 + -11277933\/748. Let j = w - r. What is the nearest to -4 in 0.3, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-3) + 2 + 1. Let j = 0.3 + -0.7. What is the nearest to 0 in i, 5\/6, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - -16 - (-1)\/(-1) - 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45254 * 0.16.\nAnswer: 7240.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7094625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j\/j**(3\/2)*j)))\/j)\/(j\/j**3))**(-4\/19))**(-2) assuming j is positive.\nAnswer: j**(12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*p**4 + 46340*p**3 + 233440*p**2 - 5769200*p - 1056384 = 0. Calculate p.\nAnswer: -1048, -14, -2\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40437118*d**4*m + 53253*d**2 - 43*d*m wrt d.\nAnswer: -970490832*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5226+-10\nAnswer: 5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 886 divide 3595388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 - 5 = 0. Suppose 0 = 17*o - n*o - 105. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/2 + 4665*m**3\/2 + 77652*m**2 - 634430*m + 939600 = 0?\nAnswer: -40, 2, 5, 4698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2.41, -2, -0.0157, -35 in ascending order.\nAnswer: -35, -2, -0.0157, 0, 2.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 39.7442 meters?\nAnswer: 0.0397442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*12\/(-15))\/((-2)\/25). Suppose s - p = -0*s. List the prime factors of (-355 + 0)*1\/(s\/(-4)).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*u + 32*u**2 + 51*u - 3*u)*(2*u - 4*u + u).\nAnswer: -32*u**3 + 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = w - 109, -33*z - 5*w = -38*z + 195. Calculate the remainder when 368 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 50 = r, -5*q + 0 = -r - 56. Let l be 46\/(-6) - 34\/r. Put l, 3, 1, 7 in increasing order.\nAnswer: l, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872037?\nAnswer: 3, 96893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 32*t - 117*t + 2142. What is the remainder when 1425 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32\/5, 1\/9, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19925?\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {a: 3, t: 5, n: 4, m: 7}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 r when three letters picked without replacement from {s: 3, e: 3, v: 1, r: 2, y: 2, t: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54434579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Suppose 0 = 2*o + 8, 4*o + 17 = f*v + 1. Let d(u) = v + 0 - 5*u. Let q(i) = -i. Determine d(q(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 89785\/181, -1\/8, 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -611*x**3 + 2*x**2 - 1 + 20*x + 1243*x**3 - 616*x**3 to t + g*x + b*x**2 + v*x**3 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*l - 2091 + 403 = 0. Suppose o + 1 = 3. Calculate the smallest common multiple of l and ((-20)\/(-25))\/(o\/15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(-2*b - 2*b + 3*b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*110\/11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 k when three letters picked without replacement from mjksjmjjjjjmmmfjms.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 34*n**2 + 13*n + 77. Let i be g(-15). Suppose 12632*j**3 - 768*j + i*j**3 + 19596*j**2 - 16459*j**2 + 36055*j**2 + 32 - 1488*j = 0. What is j?\nAnswer: -2, 2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11794 - 12994 = 50*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 11508355.\nAnswer: 11508355.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 12. Calculate the common denominator of 1 + -2 + (-84)\/27 + d and -79\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.73, -9\/11, 0.1, 608 in increasing order.\nAnswer: -4, -9\/11, 0.1, 1.73, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5214 - -5212. What is the closest to -35 in -0.2, 11, -4\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-18 - 1) + -1 - (-10 + 5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.32*836\nAnswer: 267.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u**2\/u))\/u)**(-12\/17)*(u**4)**(-2\/197))**(-1\/20) assuming u is positive.\nAnswer: u**(-557\/16745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 19*f**3 - 11*f**2 - 57*f - 15. Let y(b) = -10*b**3 + 6*b**2 + 29*b + 8. Determine 6*c(p) + 11*y(p).\nAnswer: 4*p**3 - 23*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.7 (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2125196*y**2 + 3330742*y wrt y?\nAnswer: 4250392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 216, 202, 192, 192, 208?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*f*s + 45*c**2*f + 78*c**2*s**3 - 2*c*f*s**3 - 3*f*s**2 - 2*f wrt s.\nAnswer: 468*c**2 - 12*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9738650 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 3 (c) 1\/25 (d) -3\/134650\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (2 - -3) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*m - 34 = 909*m - 2*j, m = 2*j + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222 + -2?\nAnswer: 10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8160 and 833617440.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 80979066.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/5, -0.4, -2\/19 in ascending order.\nAnswer: -4\/5, -0.4, -2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 61, 2840 in decreasing order.\nAnswer: 2840, 61, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12029, 26792, 41555, 56318, 71081?\nAnswer: 85844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4 + (3 + 3 - 5)*(3 - 4 + 3))*((-5*p + 2*p + p)*(-4 + 0 + 6) + 0*p - 6*p + 3*p)*(6 - 3 - 1 + (-3 + 2 + 3)*(0 - 2 + 0)).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*m - 159, -v - 4*v = -m - 16. Let u = m - -44. Is 4\/(-6)*3 + u + 2718 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188 - -86) + 114 - 76?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 11*v - 27. Let h be z(-5). Which is the closest to 9? (a) -2\/15 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c - 1. Suppose 4*g - 6 = -2. Let q(f) = 6*f**2 + f + 4. Let p(d) = g*q(d) - 5*k(d). Calculate p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*v - 3*q, 0 = -4*v - 2*q + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 2 + 14. Find the common denominator of (-664)\/112 + (k - -2) and -13\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -21. Let w(o) = -2*o + 1. What is the remainder when 27 is divided by w(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/48015 and 16\/45.\nAnswer: 48015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 602 - 604. Sort m, 11\/3, -0.1 in decreasing order.\nAnswer: 11\/3, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 4, h: 3}. What is prob of sequence ees?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2226420 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 553 (b) -0.068 (c) -5 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 243*h - 728. What are the prime factors of j(-75)?\nAnswer: 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - i - 1. Let l be ((-11)\/(-22))\/(1\/(-2)). Let n be d(l). Determine t so that -2\/5*t + t**2 + 0 + 3\/5*t**n = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109.3 + -104. Let r = 13 + -18. Let d = a + r. Put d, 1\/2, -4 in descending order.\nAnswer: 1\/2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 3136 - 3154 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334585 is divided by 19681.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -0.02. Let l = -3 + x. What is the closest to -2\/5 in -4, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*v = 1202*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/12 + 6*m**2 - 9*m + 7. Let j(k) = 11*k. Calculate j(x(t)).\nAnswer: -11*t**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/15 + 2*u**3\/5 - 8*u\/15 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*b**2 + 201*b**2 - 471*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = p - 12, -r - 5*p - 8 = 2*r. Suppose 6 = w + r. Let j be w\/(-4) + 27\/6. Solve -j*s + s + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 26*f**4 + 11*f**2 - 11. Let q(b) = -5*b**4 - 2*b**2 + 2. Let w(h) = 2*i(h) + 11*q(h). Factor w(l).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2 - 8. Let d = y + 8. What is the common denominator of -19\/7 and d\/6*87\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - p + 1)*((2 + 4 - 5)*(0 + 2 + 1) + (13 - 1 - 6)*(-10 - 6 + 2)).\nAnswer: 81*p + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 - 6*j - 10. Let m be f(7). Let q be (-1312)\/(-12) - (-4)\/m. Suppose -9*c + q = -5*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14434437 is divided by 222.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -435.58 * 2\nAnswer: -871.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26451798 by 4408633.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 9. Let n be v(-9). Let j be n\/(-10) + 2\/10. Let y = j - -5. Which is the second smallest value? (a) 2 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 80 = 5*h. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 5*t**4\/24 + 26*t**3\/3 - 6*t**2. Suppose 81 = 2*y + 15. What is the least common multiple of y and s(-8)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (5 + -7)) + 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 353 = 5*t, -4*y + 730 = -2*y + 4*t. Suppose -3*c = -y - 26. Suppose 4*i - 4*z = 268, 2*z = -2*i + 3*z + c. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4747 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0687 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/20 and -11\/65?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-4)\/3 - 1. Suppose -2*b + f + 1 + 1 = 0, h*b = -f + 3. Let o be ((-3)\/(-12))\/(b\/12). Solve 0 + 12 = o*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 3*m)*(5 - 37 - 48).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -534057, -2136234, -4806543, -8544996, -13351605, -19226382, -26169339?\n\"Answer: -2*m**3 - 534054*m**2 - m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-1*1*sqrt(17) - 2*sqrt(153)) + 1*(sqrt(17) + -1) + 1 + -1)*2)**2*-6.\nAnswer: -14712 - 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 136 = -14. Suppose -p = 9*o + 87. Calculate the common denominator of ((-7)\/6 - 10\/30)\/o and 77\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(72)*-2 - sqrt(18)) - ((sqrt(18) - sqrt(144)\/(sqrt(8) - sqrt(128))) + -3 + 0 + sqrt(18))) + 1)**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d40 + -3c?\nAnswer: -d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -28 - -18 - (-5 + -11). Let t = -3 + 0. Which is the closest to 0.1? (a) 2\/9 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -583\/5, 0.4, -1, 0.06, -0.2 in ascending order.\nAnswer: -583\/5, -1, -0.2, 0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {f: 3, t: 3, h: 2}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -101)\/((-2)\/(-104)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -133. Suppose z = 11*w - 8*w + 6, -w - 2 = g. Is z equal to -1\/258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 103.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) -2 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -791 and -1972.\nAnswer: -2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*i*i**(-20)*i*i\/i**(-2\/37)*i*i*i\/(i\/(i\/i**(11\/7)))*i assuming i is positive.\nAnswer: i**(-6091\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x**2 + 12824. Let k(j) = -2*j. What is k(v(q))?\nAnswer: -18*q**2 - 25648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d + 3*d. Let t(h) = 2*h**2 - h - 4. Let x be t(3). Let r(l) = 2*l - 2. Let b(w) = 4*w - 4. Calculate d*b(u) + x*r(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 7. Let l be y(4). Suppose 3*g = -5*o + 24, -o = -5*g + l*o + 3. Sort -3, g, -1 in ascending order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.31 - -30.21. Round k to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s - 8*s - 864 = 0. Sort -153, 5, s in descending order.\nAnswer: 5, s, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-8)\/(-4))*-2. Suppose 3*w - v = 4. Suppose -6 - 2 = -w*d. Solve -2*o - d*t = 3*o + 21, -t - 8 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -52*s - 63. What is w(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 21 = -3*a - a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 15*w**2 + 67*w + 145. Determine c(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/5, -16, -4.77?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 4*m + 10 = 0. Let a be (-2*m\/3)\/(38*1). Let q(j) = -11*j + 67. Let z be q(6). Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -87. Let v = r + -131\/3. Let f = 31\/2 - 215\/14. Sort f, -2, v in increasing order.\nAnswer: -2, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 655469629735.\nAnswer: 655469629739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12597 is divided by 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/10 (b) -28 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -43. Suppose -2*w = -n*w + 464. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 2. Let o be t(0). Let x(h) be the third derivative of -3*h**4\/8 + h**3\/3 + 2*h**2 + 117. Is x(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + (-3*sqrt(209) + sqrt(209))\/sqrt(11)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 2\/9 (c) -0.1 (d) 1.5 (e) 5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 18*c**2 - c - 37. Let a be o(-19). Let t = -171 + a. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = i. Sort -4, i, 1 in descending order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + 79\/3. Let y be 4*4\/(-16)*-65. What is the greatest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -13 - 17. Let j be (3\/2 + -1)*6. Suppose h = j*h - 80. Calculate the greatest common factor of h and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -486\/115?\nAnswer: -486\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023941711 to the power of 1\/2, to the nearest integer?\nAnswer: 31999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 231347 and 1868.\nAnswer: 432156196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6))\/x**(-1\/22))**(-29) assuming x is positive.\nAnswer: x**(-4495\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 7)\/(7\/(-21)). Suppose -3*x + 22 + 10 = 2*i, -4 = -x. Suppose 0 = -2*u - 0*u + i. Solve 4*n = -2*j - q - 1, -u*j - 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 9. Let a be (-4)\/((n\/(-9))\/((-4)\/(-12))). Let y = -5 + 15. Calculate the highest common divisor of y and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000100 + 100010?\nAnswer: -1100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122936 and 30734?\nAnswer: 122936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3*t + 7. Let k be v(-5). Suppose 5*z + 2*d - k = 0, -3*z + 4*d - d + 27 = 0. What is the tens digit of 2 + 30\/z*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -3166, 0.32 in descending order.\nAnswer: 0.32, 1\/5, -3166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**3 - 2*v**2 + 20*v - 2. Determine a(3).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035602041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 - 3?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6 + 25390\/(-2539).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 9 = w, 0 = 5*w + 91*u - 94*u - 23. Let n = -7 + 4. Put w, 12, n in descending order.\nAnswer: 12, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25045014 + -5?\nAnswer: 25045007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 48 = 4*d - 16, 0 = 2*d - 3*x - 32. Solve -d*u = 15*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 11 - 1, -4*g + 5 = 3*q. Find the third derivative of -75*z + 75*z + 6*z**4 + 3*z**g - 47*z**2 - 40*z**2 wrt z.\nAnswer: 180*z**2 + 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 123 = 0. Let h = 44 - l. Suppose -10*d + 245 = -h*d. What is the greatest common factor of 70 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, e: 8, d: 1, j: 2, b: 2}. What is prob of sequence ju?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 13*i + 14. Let m be t(-7). Let s be (7\/(-2)*3\/m)\/3. Sort s, 0.1, 0, 3 in descending order.\nAnswer: 3, 0.1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12192904 a multiple of 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 2*n - n - n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 423751608 a multiple of 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 t when four letters picked without replacement from {o: 7, s: 2, t: 3}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395*s = 1369*s + 4*o + 210, -4*o = -2*s + 134 + 100 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3 + 326296*v**2 + 6654970020*v + 26614659600 = 0. What is v?\nAnswer: -40785, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -227, -360, -511, -686, -891, -1132, -1415?\nAnswer: -1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(2 - 1). Let a(m) be the second derivative of m**5\/20 + 7*m**4\/12 - m**3\/6 - 2*m**2 + 4*m. Let o be a(-7). Sort o, -5, v in descending order.\nAnswer: o, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173757 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in 4, -13, 2\/7, -730\/13, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120253 - 60141 - 3*j - 60129.\nAnswer: -3*j - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(140\/(-272))*-2*2\/16\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18)*(-8680)\/868.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 u when four letters picked without replacement from {s: 1, u: 4, b: 2, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.68 times 2?\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(36\/(-8)) - 2. Let w(k) = -k - 8. Let p(j) = -1. Let x(h) = -14*p(h) + 2*w(h). Calculate x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) -2\/5 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 0*n)*(0*n**2 + 4*n**2 - 3*n**2) - 60*n**3 - 140*n**3 + 257*n**3.\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 9*b - 5. Let u(n) = -n**3 - 3*n**2 - n + 1. Let w be u(-3). Calculate the remainder when 4\/(-12) - 133\/(-3) is divided by l(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 - 6*x**2 + 2*x**2 - 5*x**2. Let p(v) = 7*v**2. Give r(p(h)).\nAnswer: -196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 45 = -9. Suppose 0*c = 3*c - f. Let m = 4 - c. Solve m = l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*o - 309*o + 147*o + 135 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/240 and -97\/18?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10979, 11062, 11197, 11378, 11599, 11854?\n\"Answer: -u**3 + 32*u**2 - 6*u + 10954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5 - 48\/(-10)). Let f be q\/8*(-2)\/(-20)*-4. Sort 0, 5, f in increasing order.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-10) + 6*(-3)\/(-90)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.9 - 41. Which is the nearest to q? (a) 2\/15 (b) -0.3 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**2\/3 + 51331*p\/3 = 0.\nAnswer: 0, 51331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -377367 - -375634.57. Let c = 1793 + y. Let n = 61 - c. What is n rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2584)\/(-2394)*21*(-4)\/(40\/15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*d**3 + 0*d**2 + 4\/3 + 2*d.\nAnswer: -2*(d - 2)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589207.\nAnswer: 589207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 15) to base 4\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9804, -9818, -9864, -9960, -10124, -10374, -10728, -11204?\nAnswer: -11820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**0*o))\/o)**(2\/23)*(((o\/o**11)\/o*o*o*o)\/o)\/(o\/((o**(-8)\/o)\/o)) assuming o is positive.\nAnswer: o**(-462\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8657 + -804?\nAnswer: -925b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g**2 + 9*g + 47. Calculate the remainder when n(-5) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - j = 0, -3*x - 5*j = 9 + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.47 + 4.47. What is the nearest to h in -2\/5, 0.3, -3\/2, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*o + 15, 4*t - 20 = o - 8. Let n be (-3)\/t - (3 + -22). Calculate the common denominator of -19 and 157\/(-24) - n\/(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5620947 at least -5620949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 40*j**4 + 280*j**3 - 3200*j**2 - 14960*j - 15488.\nAnswer: (j - 8)*(j + 2)**2*(j + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.725135 rounded to 3 decimal places?\nAnswer: -3.725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.9765mg in tonnes?\nAnswer: 0.0000001879765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 45. Let x = 0.3 - -0.7. What is the nearest to 0 in o, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 16\/11, -2\/11, 2\/3, 0.05, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 15) to base 7.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -105945*t. Let j(w) = -6622*w. Give 63*j(o) - 4*y(o).\nAnswer: 6594*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-9)\/(-6) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - (-5 + 8\/(-12)). Let h be ((-6)\/4)\/3*(b + -9). Suppose 19*t + 8*t**h - 19 + 4 - 3*t**2 - 29*t = 0. Calculate t.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 96*w**2 + 46*w - 1. Let p(j) = -480*j**2 - 244*j + 6. Determine -16*g(v) - 3*p(v).\nAnswer: -96*v**2 - 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389994192?\nAnswer: 2, 3, 7, 421, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.89868 to the nearest integer.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/1791 and 83\/4797.\nAnswer: 954603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1041, -2081, -3121, -4161, -5201?\n\"Answer: -1040*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v - 2*s = -36*v + 103 - 437, 2*v + 7*s - 185 = 0 for v.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/(-35))\/(495\/(-33))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/50 + 25670\/(-2125)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2193\/4 - -555. Calculate the common denominator of f and ((-2)\/(-8))\/((-1)\/110).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 369? (a) -11 (b) 0 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -4\/3 (c) -5\/4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -41. Let a = y - -99. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -35 + -24 - -28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.4 (c) -2\/23 (d) -38\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - x**2 - 2*x**2 + (x - 6*x + 3*x)*(-32 + 32 - 10*x).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6479736.4 - -0.4?\nAnswer: 6479736.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -4) + 1 + 0. Let l(g) = g. Let y be l(5). Let s = y + 0. What is the highest common factor of s and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m = -5*s + 361, s + 4*m - 86 = 0. Let n = 1207 - 1196. What is the remainder when s is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8580924?\nAnswer: 2, 3, 11, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -51296 divided by -400?\nAnswer: 3206\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Suppose -2*w + 0*m = n*m + 6, 6 = -2*m. Let s(y) = -y + 4. What is s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -25, -32, -23, 8, 67, 160, 293?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 17*t**2 + t + 2 - 15*t**2 + (-3 + 5 - 3)*(-28*t + 117*t**2 + 28*t) in the form g*t**2 + x + i*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -8, -2 in ascending order.\nAnswer: -8, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*5 - (sqrt(288) + 4*sqrt(288)))\/((sqrt(9072)*-1)\/sqrt(7)*2).\nAnswer: 5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 64\/5?\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17997726*y**2 + 17997726*y**2 + 7*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 110*d - 33. Is b(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104650 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -115*k - 2884. What is the remainder when d(-34) is divided by 1015?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 7*t + 9. Calculate the common denominator of t and -1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-3))\/13*12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20535 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 164.\nAnswer: 27880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhhhhzhzhhhzhhhhhhz. Give prob of sequence zhh.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117) + -2*(0 + sqrt(13)) + (sqrt(91) - (1*sqrt(91) - sqrt(91))*-3 - sqrt(91))\/(2*sqrt(63)))*4)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 58*r**2 - 19*r + 6046. Give s(-60).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l + 2*l - 18*l)*(l - l - l**2) - 2*l**2 + l**3 + 2*l**2.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -141*p + 7. Let n be k(13). Let z = n - -49312\/27. Let s = z + -113\/378. Which is smaller: s or 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 36*a**3 + 388*a**2 - 924*a + 576.\nAnswer: -4*(a - 3)**2*(a - 1)*(a + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 r when four letters picked without replacement from {h: 1, v: 1, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-1260)*-7)\/((-4)\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 692075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15528 or -15530?\nAnswer: -15528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1430 + 104\nAnswer: -1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/105 + 3\/15)*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -29 + 20)*1725\/(-30)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 2*r, -14 = r - 5*z. Differentiate -r + 8 - 2*b**4 + 1 wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 5*f - 20. Let z = -767\/4 - -2141\/12. Find the common denominator of (-56)\/(-9)*f\/(-8) and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 80 = 2*s. Let d be 1\/(-260)*-8*s. What is the smallest value in -2\/3, d, 32?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799318660.\nAnswer: 2, 5, 43, 353, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 180*l**2 - 1785*l - 2890.\nAnswer: -5*(l + 2)*(l + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195 + -97. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.313*-8.\nAnswer: -2.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**4 - 9 + 22 - 13 - 8*h**4 - h**2 + 267*h**3 in the form u*h**2 + c*h**4 + z*h**3 + r + m*h and give z.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -3)*(-52)\/(-4). Suppose 12*m - 11*m = r. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*t = -15, -2*t + 15 = u - 5*t. Let i(c) be the third derivative of -c**5\/20 + c**3 - 2286*c**2. Let b(y) = -2*y**2 + 5. Give u*b(m) - 5*i(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -2\/13, 85?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74869\/21288 - 52\/887. Find the common denominator of -87\/20 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 6*a + 7. Let d(n) = 6 - 10 - 2*n - 9 - a*n - n**2. What is d(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -2*c, -28 = 5*c + 4*s - 2*s. Let l be (-22)\/c - (-14)\/(-21). Suppose a - 4*t = 13, 0*t - l*t = a + 8. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 + 16*g - 33. Give i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) - (sqrt(85) - (sqrt(85) - sqrt(85)*-2))*-6 - sqrt(85)))\/(sqrt(5) - (-2*sqrt(720) - sqrt(720))).\nAnswer: 13*sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108653 - 281689. Let v = -726964 + y. What is v rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t**2 - 49*t. Let c be l(-3). What is the hundreds digit of 1079*(0 + c)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6884 is divided by 265.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 14386 - 14440 = -18*y, 0 = 3*a + 5*y + 96 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(136) + sqrt(136)*-2)\/sqrt(8) + sqrt(153)\/(sqrt(9)*2))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 56476976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15065958619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 1 + 1)*(-79 - 51 - 28)*(-2*j**2 + 5*j**2 + 0*j**2).\nAnswer: 948*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-663)\/((-1209)\/(-31)) + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let w = a + -2. Let b = 58\/45 + -8\/9. What is the second smallest value in -4\/5, w, b?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3544.1km in millimeters?\nAnswer: 3544100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 544 = 10*v. Let s be (2 - (-222)\/v) + 8\/(-68). What is the closest to -1 in 2\/11, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:49 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87103\/4004 + -4\/1001. What is the common denominator of p and -77\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -2*a**3\/3 + 15*a**2\/2 + 2*a + 13. What is k(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 2*u + 0*u. Let r(f) = 27*f**2 + 5. Let x(p) = 40*p**2 + 7. Let j(t) = -7*r(t) + 5*x(t). Give j(i(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 0.15.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39231 and 24?\nAnswer: 313848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 - 6*y + 6*y + 1)*(12*y + 3*y - 7*y) as r + w*y + b*y**3 + k*y**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117350302*q**5*r**2 - 149602956*q*r**2 wrt q.\nAnswer: -2347006040*q**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7588641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3090 + -3092. Let g(u) be the first derivative of -95*u**4\/4 - 2*u**3\/3 - u**2\/2 + 4*u + 1. Is g(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42332991373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 14*j - 3. Let k be x(-13). Suppose 0 = -b - 2*t + 21, -7*t + 74 = 4*b - 4*t. Let r = b - k. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2776299*-12.\nAnswer: -33315588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 630 and 378.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 15660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 314, 305, 292, 275, 254?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973828.2 nanograms to grams.\nAnswer: 0.0009738282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.2 (c) -2 (d) 1 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, -78, -458, -1066, -1902, -2966?\nAnswer: -4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -538188, -538191, -538196, -538203, -538212?\n\"Answer: -m**2 - 538187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 9*y - 5 - y**2 - 9*y + 0*y. Let b(l) = 11*l. Calculate u(b(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 144, 12\/7, 3\/34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1602443106 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let y(g) = -g. Suppose -33 = 4*p + 2*z - 3, 3*z = 4*p + 25. Calculate p*y(q) + 4*a(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61344 (base 9) to base 8.\nAnswer: -116672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86051587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29682747 divided by -19749?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**2 - 182*o**3 - 186*o**3 + 369*o**3 + 3*o**2 + 582 wrt o?\nAnswer: 3*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43970665147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69.5 - 69. What is the second smallest value in 1\/4, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/120 + z**4\/48 - 5*z**3\/2 - 115*z**2. Factor x(r).\nAnswer: (r - 5)*(r + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535 plus 0.1?\nAnswer: 2535.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, b: 3}. What is prob of sequence bbb?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 525 = -5*b + 11*l, 135 = 5*b + 15*l - 20*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 - (-3 + 15\/3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0629+-3\nAnswer: -2.9371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {p: 3, j: 1, v: 6, x: 1, n: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 43 = 5*f - 0*v - 13, 0 = -0*f + 34*f + v - 337 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {u: 1, t: 4, b: 8, l: 1, w: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147*(-84)\/3888 + ((-20)\/(-135))\/2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from zvuuzuvvaznvvuvvau?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Is 3 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y + 1. Let u be b(2). Let t be (6 - (-6)\/(-2)) + u. Put -5, t, 5 in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d + d - d + 14*d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 78 + 87. Calculate the remainder when h is divided by ((-5 - 0) + 25)\/2 - (4 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/120 - k**5\/10 - 2*k**3\/3 + 3*k**2. Let j be w(-6). List the prime factors of 2*(-34)\/j*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 2, 8, -12 in decreasing order.\nAnswer: 8, 6, 2, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)*-2)\/sqrt(7))\/sqrt(4) - sqrt(90)\/sqrt(45))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010 (base 2) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 32. Suppose -4913 = -3*s + n*y, 4*y - 3359 = -3*s + 1586. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**6\/330 - 9*w**5\/220 + 5*w**4\/44 - 7*w**3\/66 + 179*w. Determine z, given that f(z) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181*b*n**2 - 338683*b - 33880*n**4 - 6*n - 617 wrt n.\nAnswer: 362*b*n - 135520*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 13. Let v = u + -6. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1180 and 288460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let t(z) = 3*z - 312. What is t(o(l))?\nAnswer: -3*l**2 - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.485 + 0.015. Let f = s + -0.5086. Round f to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 457 + -254. Let r = 79 - 50. Calculate the highest common factor of r and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -125*j**3 + 4*j**2 + j - 7. Let s(b) = 376*b**3 - 14*b**2 - 3*b + 22. Let u(q) = 7*f(q) + 2*s(q). Find the second derivative of u(l) wrt l.\nAnswer: -738*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10222?\nAnswer: 2, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 664018344*l + 257440548.\nAnswer: 664018344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4192781 to the nearest integer?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08256415 from 2.66186.\nAnswer: 2.57929585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p**2 - 10*p - 7. What is the smallest common multiple of 393 and n(-1)?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1630, -1637, -1648, -1663, -1682, -1705?\n\"Answer: -2*d**2 - d - 1627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 50, 47, 32, -1, -58?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 3002*j**4 - 1463*j**4 - 1438*j**4 - 7*j to the form r*j + v*j**4 + l + q*j**3 + h*j**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 182 = -k - 10*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1)\/(9*(-16)\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38\/189 + -10\/27. Let x = 2 - 3. Let y be ((-24)\/8 + 7)*2\/(-16). What is the closest to x in -0.2, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 + 11*q + 27. Give k(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 76. Let t be x(0). Let o = 148 + t. Calculate the greatest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/13)*j)\/j**(-3)*(j**1)**24)**17 assuming j is positive.\nAnswer: j**(6426\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2584 + 5173 - 2582 - 4*y**3 - 22*y + 22*y.\nAnswer: -4*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/16996 and 29\/135968.\nAnswer: 135968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282852 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 5*s + 5. Calculate the least common multiple of 3 and i(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -13766*v + 4*v**5 - 4*v**4 + 13766*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425) + -3)**2 + 0.\nAnswer: -20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjkdo. Give prob of picking 1 o and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12262*s = -10790*s - 107456 for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750460 is divided by 20846.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1 - 5*z + z + 2*z - 8. Let l be x(-6). Suppose l*b - 2*b - 6 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1072 + 428 = 0. Let v = 503 + h. Put 8, -5, -3, v in decreasing order.\nAnswer: 8, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) -3 (c) -3\/4 (d) -1\/6 (e) -608\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -105*v - 4843. Give x(-46).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -448, -660, -872?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1856 - -2022. Is v a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2462 + 2464. Put -13, r, 3, -2 in ascending order.\nAnswer: -13, -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -251*o + 250*o + 3, -2*o = -5*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*z + 38*z + 46*z to i*z + x and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 13. Let v be t(8). Let l(j) = -2*j - 6. Determine l(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from cccczccccccczzcccczc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 7*z - 169 = 0. Suppose -p - 2*o = -z, -o = 3*p + 4*o - 43. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430720 divided by 5?\nAnswer: 886144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -123842 greater than or equal to -2.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.410318 hours in seconds?\nAnswer: 30277.1448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7186 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 + 15 = 0. Which is the second biggest value? (a) 0.4 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:24 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*c + 8279 + 24312 = 302*c - 3449 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1463 and 14896.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145404667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548027.\nAnswer: 239, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziisokkikksw. Give prob of picking 1 o and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.4, 22, 0.7, 56, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 84462415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8574*s - 3432. What is the tens digit of c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, -2, 1\/17 in descending order.\nAnswer: 0.5, 1\/17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 9*i = -3*x - 8636, 5*x + 5 = 0. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5332, -5331, -5330?\nAnswer: -5329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 51*q**2 - 1. Let c be k(1). Suppose 0 = -c*v - 3 + 553. Solve 4*z = -4*f - 16, v = -z + 5*z - 5*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 8 = 58. Let g be (-2)\/a - -11*5\/25. Suppose 2*b - 503 = -5*m, 0 = -m + 2*b + g*b + 83. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 12806.\nAnswer: 2048.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11011?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1735 - 3470 - 3*w**3 + w + 93*w**2 + 1732 - 2*w in the form g*w + l + z*w**3 + t*w**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/7 - (-102)\/7. Suppose -4*m - m + d = 0. Solve -2 - 1 = -m*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44077, -176061, -395957, -703765, -1099485?\nAnswer: -1583117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3*n + 3 + 1.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -376 + 384. Solve -3*w - m = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1482 - 4555 + 1592 - 7*n + 18*n + 1481.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 542*u**2 - 3*u + 6. What are the prime factors of t(5)?\nAnswer: 11, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 224*l + 4023. Calculate v(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 8. Let x be 5\/(0 - -5 - 4). Let b(r) = r + 4. Calculate x*b(f) + 3*d(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12049933 divided by 2107\nAnswer: 5719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 159723347 to the power of 1\/2, to the nearest integer?\nAnswer: 12638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5009665053 - 472.4990281547. Let s = -473 - c. Round s to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -572907*c**5\/8 + 233181015*c**4\/8 - 3201489*c**3\/8 + 10989*c**2\/8 = 0?\nAnswer: 0, 3\/437, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - -0.01. Let g = 2.1 - u. Let z = g + -1.9. Which is the smallest value? (a) 0.3 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725 and 111600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s - 60*s - 2*c + 12 = 0, 3*s - c = 34 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14 - 36 - 11 + 52*d - 27 - 10 wrt d?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 2. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.9 > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/((-21)\/140)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3531947 to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-9))\/(c*(c*c\/c**(2\/7))\/c*c))\/((c\/(c*(c\/c**8)\/c*c)*c)\/c)**(-9\/2) assuming c is positive.\nAnswer: c**(291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66812?\nAnswer: 2, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 + 28790*j**2 + 12940*j wrt j?\nAnswer: 12*j + 57580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -11002?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.882 - -0.118. Let x = 54.8 - u. Is -1\/5 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*15)\/(-1)*539*170\/24990?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i*m**5 + 3*i*m**2 - i*m - 663*m**2 + 124*m - 17 wrt m.\nAnswer: 140*i*m**3 + 6*i - 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -41\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a**2 + 110. Let o(r) = 1. Let g(b) = 2*f(b) - 220*o(b). Let j(u) = 210*u - 3154. Let k be j(15). Let m(l) = 7*l**2. Calculate k*g(y) - 11*m(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(13\/(-2) - -2). Let y = 34 + -31. What is the biggest value in b, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/11)*c**(-10) assuming c is positive.\nAnswer: c**(-109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 457010.\nAnswer: 1371030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, -3, 2, -5, 4 in ascending order.\nAnswer: -5, -3, -2, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-28))\/(187\/119) - (-24)\/22. Sort m, 5, 4, -5, -237.\nAnswer: -237, -5, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256844 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 18. What is the tens digit of (q\/3)\/((-5)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6576 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1442 and -0.4?\nAnswer: 0.5442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61649035 to the power of 1\/2, to the nearest integer?\nAnswer: 7852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from {o: 2, m: 5, e: 9, y: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32170?\nAnswer: 2, 5, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19543 (b) 0.1 (c) -2\/7 (d) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 16 = 5*a, -5*a - 29 = v. Let b = v - -13. Suppose 0 = 3*q - 3 + b. Is q < -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11939?\nAnswer: 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - ((-3 - 28) + 84).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18000 = 9*k + 25998 + 35643. Round k to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/14*-2)\/((-576)\/(-14112)*70\/48).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.27 - -0.27. Which is the second biggest value? (a) -5 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/24*(11 - (-42)\/(-6)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-44))\/t*t**(-1\/5))\/(t**47\/t*t*t\/(t**(2\/101)*t)*t) assuming t is positive.\nAnswer: t**(-46551\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 24999*o**2 + 24984*o**2 - 4*o**4 + 1763*o - 49983*o**2 + 1 as h*o**3 + t*o**4 + w*o**2 + f + r*o and give r.\nAnswer: 1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.158143 and 6909.\nAnswer: 6908.841857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i - 19*i - 626*i**3 + 37*i - 167*i**3.\nAnswer: -793*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**2 + 4*k**5 + 0*k**3 + 0*k**3 + 5*k**5 wrt k?\nAnswer: 540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 7. Suppose 0*a - c = -3*a. Let q be 91001 - a\/((-2)\/(-1)). Round q to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 194, 236, 278?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -612*g + 613*g - 39 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = 0, 0*d - b = -d + 6. What is the closest to d in 3\/13, 2\/5, 1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 8 (b) -5 (c) 2148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (5 + (-3 - (-6 + 8))) - 52.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38221\/2418 - -969\/62. Let j = g - 244\/13. Let t = -28399\/6 - -4745. What is the common denominator of t and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -q + 978. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97.6 + 98. What is the fourth smallest value in j, -5, 0.07, -5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441835997 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/504 and 99\/278.\nAnswer: 70056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 23 (c) 260 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 9*c**2 - 7 - 6*c**2 - 6.\nAnswer: -15*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 201938455*i**2 + 2038957081358575*i - 2038956879420125.\nAnswer: 5*(i - 20193845)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -15*l**4 + 51*l**3 - 3*l**2 - 51*l + 18 = 0?\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Suppose -3*y = -4*u + 48, u + 11 = -8*y + 3*y. Let z = u + -5. Suppose -3*w + z*n = -1, -w = -6*w + n - 4. Give j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 112.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3618*g - 2900*g = -91186 for g.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)*f**(1\/6))\/(((f**(-5)*f)\/f)\/((f*f*f**4*f*f)\/f)))**(-34) assuming f is positive.\nAnswer: f**(-935\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1110 and 370?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomoooomooooooooom. Give prob of picking 3 m.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 5*n + 10 = -5*t, -3*n = 3*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.4? (a) -9\/50 (b) 5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 18 + 20. Factor 4*p**2 - 21*p**2 + 6*p**o + 3*p**2 - 9*p**3 - p**4.\nAnswer: -p**2*(p + 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290 - 287. Let l(j) be the second derivative of 4*j - 1\/2*j**u + 0 + 0*j**2 - 1\/2*j**4. What is the second derivative of l(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.6 + -1.635. Let f = n + -0.065. Let q = -4 + 5. Which is the second smallest value? (a) 2\/33 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 v when three letters picked without replacement from {v: 7, d: 4, z: 4}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*3\/(0 + 6). Suppose 3*r = -f*g - 2*r + 43, 5*g - 124 = 4*r. What are the prime factors of 1016\/g - 2\/6?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2654 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:51 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 228, 223, 214, 201, 184?\n\"Answer: -2*w**2 + w + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 69, 135, 269, 495?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 322*t + 1588. What is d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15965165*d*s**2 + 12*d*s - 4*d + 5408*s wrt s.\nAnswer: 31930330*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 117*j**2 - 5. Let r(h) = -h**3 + 58*h**2 + 2. Calculate 2*p(q) + 5*r(q).\nAnswer: -q**3 + 56*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8110 (base 13) in base 12?\nAnswer: a33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:14 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 559\/18 - 229\/6. What is the common denominator of -25\/36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 6*t = 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let b(u) be the second derivative of u**4\/6 + u**3\/2 - 14*u. Let k be b(-2). Let i be (3 + 1)*1\/k. Give v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-80))\/((-2)\/15))\/(-4 + 7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 - (1 - (1 - -7)) and 79?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391 + -388. Suppose -2\/5*d**q + 1\/5*d**4 + 4\/5 + 4\/5*d - 3\/5*d**2 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36516 divided by -9129.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 2*l + 80 = 20*u, 0 = u - 127*l + 123*l + 146 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2484*y - 2480*y = 11108. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 + 7 - 20 + 9 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 799\/5 - 160. Is v less than -2.772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1 - (-3 - -2). Let k(r) = -48*r**3 - 2*r**2 + 2*r + 1. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4515*x - 13542. Determine a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:56 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -312542?\nAnswer: -312542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llv when three letters picked without replacement from {u: 1, l: 2, j: 3, v: 3, o: 1, n: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1530 and 1190?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:00 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427664449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -11\/5, 116, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose -z = 6*p - 2*p + 4, -2*p + z - 8 = 0. Put p, h, 3 in ascending order.\nAnswer: p, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 2099991 = -2*t, -4*t = i + 4200003. What is t rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-1) + -21 + 18. What is the nearest to 3 in -1\/8, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 1. Let q = -502 + 504. Let u(y) = -245*y**2 - 248*y**q + 494*y**2 - y + 0*y. Let f = 0 + -1. Calculate f*u(s) + 2*i(s).\nAnswer: -s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 2:56 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340a (base 13) in base 16?\nAnswer: 16b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.532 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 6*i = 0. Suppose -3*x - x + 8 = i. Solve 0*d = -3*d + q - 10, -2*d = -x*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {n: 2, a: 2, h: 1, x: 1, z: 1, t: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01447*5.\nAnswer: -0.07235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.5 + -51. What is the smallest value in -16, f, -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0.1, -0.7, 3, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1066749, 2133524, 3200299, 4267074, 5333849, 6400624?\n\"Answer: 1066775*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*d - 3*d + d)*(-2 - 1 + 2)*(0 - 2*d + 0).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 71735?\nAnswer: 4\/71735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97854.56ns to microseconds.\nAnswer: 97.85456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1428140.99948 - -1428110. Let x = 31 + m. What is x rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0263ml in litres?\nAnswer: 0.0030263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43466 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.13, 0.06, -2 in increasing order.\nAnswer: -2, -0.13, 0.06, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5752311*b*v**3 - 127*b + 1895 wrt v?\nAnswer: -17256933*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 332?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:02 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 367288997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 7*p + 12. Let v = 1329 + -1337. Give o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/30*-5 + 15. Solve 12 = 10*f - h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 116 = 2*q. Suppose 3*n = -3*y + 270, 3*y - 396 = 4*n - 147. What is the highest common factor of q and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6024\/51 + (-6)\/51. Does 19 divide (152\/(-10))\/(d\/(-295))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324.1 - 358.13. Let m = g - -1.13. Let i = 33 + m. Put 17, 2\/3, i in descending order.\nAnswer: 17, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2970 and 4?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1 + 3 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 726 + 5*s - 481 - 4*s + 5*s to t + f*s and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*l - 161, -599 = -2*z - 2*z + 5*l. Suppose -4*p + 148 = 2*n, -4*p = 2*n - n - z. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 311 and 237157093?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 0.131, 0, 0.1 in increasing order.\nAnswer: -0.5, 0, 0.1, 0.131, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37569 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x + 4*x + 13*x + 7*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*t**2 - 5*t**2 - 10*t**2 + (t**2 - 2*t**2 + 3*t**2)*(-1 + 1 + 2).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 71 = 3*r, -32 = 5*r - b - 113. Suppose -15*i = -r*i. Let j = -1 + 3. Put -4, i, j in descending order.\nAnswer: j, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((18 - 49) + 29)\/(1\/2). Put y, 7, -3, 4 in ascending order.\nAnswer: y, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -35. Let o = 0.02 + -2.02. Sort -7, y, o in increasing order.\nAnswer: -7, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + -945b66?\nAnswer: -945b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4992, -7965, -10944, -13929, -16920, -19917?\n\"Answer: -3*o**2 - 2964*o - 2025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0541 + 772.9459. Let l = m + -773.000481. Round l to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3 - 38*r**2 + 192*r = 0. What is r?\nAnswer: 0, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-26)\/(13000\/20))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 2352.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 43 = -2*i, -24 = 749*i - 750*i + d - 5*d + 5 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 194\/(-4) - (-279)\/558. What is the highest common divisor of c and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2086? (a) 2 (b) -0.044 (c) 0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 at most as big as 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 13 (c) -7 (d) -300 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**3 + 43*w**2 - 96*w + 29. Let v be q(-9). Solve v*s = 3*p - 5, p = -p + 4*s + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/15 - 2\/3. Solve -9 = 3*p + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.5 times -59873?\nAnswer: -808285.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 64735*i**2 - 258928*i - 258924.\nAnswer: -(i + 2)**2*(i + 64731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 1504*v**2 - 18057*v\/4.\nAnswer: v*(v - 6019)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/10418398?\nAnswer: 3\/10418398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g + 5. Determine l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (95 - (-21 + 79)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.02, -0.0046?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 946 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*c**4 - 7*c**2 + 42*c + 157581 with respect to c.\nAnswer: -48*c**3 - 14*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 200 = -5*n, 289*n - 5*s = 285*n + 160. Calculate the greatest common divisor of n and 1880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 12*m)*(-2 + 2*m**2 + 2 + (3*m + 4*m - 23*m)*(0*m - 4*m + m) - 2*m**2 + 0 + 0 + 5*m**2 - m**2 - 2*m**2).\nAnswer: 550*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 + -349.287. What is x rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41.48 + 1.52. Let l = q + -43.1. Let f = 370\/3 - 1883\/15. Which is the second biggest value? (a) l (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - 77\/(-14))\/((-7)\/4). Let m be (-8 - 1)\/((-15)\/10). Suppose 2*s - s = 3*h - m, s - 5*h = -14. Solve -p*y - s = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 + 0*v**3)*(1137*v - 2788*v + 634*v)*(-1 - 1 - 1).\nAnswer: 3051*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.107 - 0.455. Let m = l - 1.6522682. Round m to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208605296 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 134. Which is the closest to l? (a) -6 (b) -1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**6\/150 + 3*b**5\/100 + b**4\/20 + b**3\/30 + 9*b**2\/2 + 3. Let t(v) be the second derivative of z(v). Solve t(n) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (0 - -3))\/((-92)\/(-115)). Let n = -7 - -12. Suppose 4*w - k*g = 5, -14 + 9 = n*g. Which is the closest to 1? (a) 1\/4 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 24. Let s be (12\/18)\/((-2)\/(-15)). Which is the second smallest value? (a) 0.3 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b - 6. Let l be j(-6). Let c = 21 + -18. What is the third derivative of l*d**3 - d**6 + c*d**2 - d**3 + d**3 wrt d?\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1759\/9 and 0.12067 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617919771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3269656 is divided by 99073?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 4\/39 (b) -0.4 (c) -0.5 (d) -0.04 (e) 2\/11 (f) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 34 (c) 2 (d) 3\/4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*u + 9*u = -148*u - 60 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96345249 plus -0.06?\nAnswer: -96345249.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5 + d - 3*d + d + 2*d. Let p be c(8). Let b = p - 8. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 3*b - 466. Let y be a(10). Which is bigger: 5.7 or y?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, e: 6}. What is prob of sequence ec?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16514510 divided by -3302902?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -278710 (base 9) to base 11\nAnswer: -10705a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 528 + 1436 + 1257.\nAnswer: 2*s + 2165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 2*a**3 - 5*a**4 - 2*a + a**3 - 2*a**3 in the form i*a**2 + w + u*a + y*a**3 + c*a**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 22, 49, 78, 109?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 20*b**2 - 76*b - 22. Give y(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 g when four letters picked without replacement from wggggwwlwllgwqggqqc?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3134 (base 9) in base 11?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 7 + 13 - 10 - 18*l as j*l + u and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 190597 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Simplify (c**(2\/15)\/c)**(3\/4)\/((c\/(c**(-3\/20)*c)*c)\/c)**(9\/11) assuming c is positive.\nAnswer: c**(-17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31289897 and 20891.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12376 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 417, 22, 2 in decreasing order.\nAnswer: 417, 22, 2, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 + 8 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-71.\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*6 + 9\/(-5) + -1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -3*u**4\/4 + 5*u**3\/3 - u**2. Suppose -173*b - 14 = -171*b. What is the hundreds digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1703 - 22502 + 20957 - 25854 - 31039 - 18404)*(-3*q + 3*q - q).\nAnswer: 75139*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*p + 2 = 0, 2*s - 4*p - 11 = p. Let z = 7 + s. Calculate the remainder when 19 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 4*x + 1. Let j(z) = 7*z**2 - 9*z + 2. Let a(c) = 5*i(c) - 3*j(c). Let o be a(6). Suppose -9 = -o*u + 2*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613\/9678*(-3)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (31\/279 - 9858\/27). What is the highest common factor of 336 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92520, 185035, 277544, 370047, 462544?\n\"Answer: -3*v**2 + 92524*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**4*w)\/w)**48)**27\/((w**0)**(9\/8)*(w\/w**(-2\/11))\/((w\/(w\/w**(-5)))\/w*w)) assuming w is positive.\nAnswer: w**(71212\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2, -147, 13 in ascending order.\nAnswer: -147, 2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 18. Suppose -j*x = x - 496. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p)**(-37)\/(p\/(p\/p**(-3\/4)*p)*p\/((p\/(((p*p**(3\/5)*p)\/p)\/p)*p)\/p)) assuming p is positive.\nAnswer: p**(2983\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29900170 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 188 = 2*y, -8*y + 9*y - l - 88 = 0. Sort 0, y, -1, 3 in decreasing order.\nAnswer: y, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose -y - 2*y = 3*t, -h*t - 18 = -4*y. Let b be t\/(-2 - (-1)\/2). Solve -r - b = -5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442755 is divided by 2327?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 10*n - 15. Let b = -49 - -34. Let v = -21 - b. What are the prime factors of w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 177*o**2 - 112*o + 1422. List the prime factors of x(16).\nAnswer: 2, 23, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 964 + 4?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l**3 - 2*l**2 + l. Let j be k(1). Solve 0 = -b - 4*p + 3, -5*p = -4*b - b + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 - 1. Let k(u) = -424*u**4 + 2*u**3 + 3*u**2 + 383. Let r(p) = -k(p) - 3*y(p). What is the first derivative of r(n) wrt n?\nAnswer: 1696*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -201 + 0?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427011 and 11271?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 e when three letters picked without replacement from rrlllrreerrlrrer.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 8*c - 5. Let o be i(4). Suppose 5*m - o = 4. Suppose -4*u - 5*y = -111, -3*u + m*y + 119 = u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42.82261 and 0.057607?\nAnswer: 42.765003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/27 and -36\/113875?\nAnswer: 3074625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 257 = 6*m + v, 4*m - 331 = v. Calculate the greatest common factor of 63 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20990 - -20990. Let b(f) be the first derivative of g*f**2 + 37 + 0*f - 2\/3*f**3. Let d(o) = -33*o - 2. What is b(d(z))?\nAnswer: -2178*z**2 - 264*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 25, 52, 95, 160, 253?\n\"Answer: q**3 - q**2 + 13*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 6 + 2 - 14, -2*h = 5*c + 14 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 30, 47, 68, 93, 122?\n\"Answer: 2*r**2 + 7*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 563 - 2095 = 237*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(8)\/sqrt(4))**2*-3)*-2 - (3 + sqrt(72)*2 + sqrt(72) + -2).\nAnswer: -18*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from rttgggg?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.61143 * -0.3\nAnswer: -0.183429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 17*y**2 + 120*y + 2839. What are the prime factors of a(-20)?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3003\/330)\/((-126)\/1260)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -155*t. Let h(q) = 7*q. Let r be (-288)\/36*(-5)\/(-4). Let z(l) = -l**2 - 5*l + 54. Let i be z(r). Give i*s(f) + 90*h(f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.891 and -0.1891.\nAnswer: 23.7019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = 4262*s - 4277*s. What is the closest to 1\/3 in s, -1\/3, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/66 and -61\/234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 26 - 22. Suppose 0 = -m + 4*m + 2*p + 24, m + 2*p + b = 0. Let w(a) = -5*a + 25. Is w(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 less than -6352873535992?\nAnswer: -6352873535992.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*q - 0*q - 35, g + 5*q - 18 = 0. Suppose -3*s**2 - g*s**2 + 4 - 3*s + 5*s + 10*s**3 = 0. What is s?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453940000 rounded to the nearest one million?\nAnswer: 454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4 - 1\/(-4) and (495\/(-80))\/(6\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2097 = -b + 2*j, 2*b + 2338 = 2*j - 1864. Let q = -198 - b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267635 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2389*q**2 + 2389*q**2 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.11 - -0.11. Let l be (5\/(-25))\/((-8)\/5). What is the biggest value in -0.6, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 3. What is the first derivative of -3*h - 4 + 1 + 3 - m wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:34 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215 - 1515\/7. Let p = 13\/14 + r. What is the nearest to p in -2\/5, 0.05, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -976 + 7833\/8. Let j = -79\/3 + 98\/3. Let i = -103\/12 + j. Find the common denominator of p and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + (-2 - (-7 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5675 - 8832. Let s = 1237 + g. What is s rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 4. List the prime factors of u(12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*b - 22288 = 21254 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + 3 + 3 - (-6 + 13 - 12).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*q + 22, 3*j = 3*q - 2 - 4. Let u = -3 - j. Suppose -3 = -2*n + u. Solve 0 = 5*s - n*p - 15, 3*s - 9 = 2*p - 3*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4\/5 + 22*l**3\/5 - 74*l**2\/5 + 18*l - 36\/5 = 0.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4566?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 3, w: 13}. What is prob of sequence ffnw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*p - 21. Let r(c) = -c - 2. What is r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1839?\nAnswer: -1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minus 648523706.8?\nAnswer: -648523614.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t + 2*k + 13 = 85*t, 0*k + 2*k + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -198*k**3 - 344*k**4 + 4*k + 199*k**3 - 1 - 1194*k**4 - k**4 + k**4 - k**4 + (-2*k**3 + 0*k**3 + 4*k**3)*(2 - 2 + 2*k).\nAnswer: -1535*k**4 + k**3 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (162*q**2 - 89*q**2 + 2*q**3 - 80*q**2)*(32 + 72 - 56 + 98) to w*q + d*q**3 + g + u*q**2 and give d.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 45, -3, -0.111, -0.2 in descending order.\nAnswer: 45, 0, -0.111, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v. Let m(c) = 37*c**2. What is m(i(q))?\nAnswer: 333*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from {m: 2, u: 4, i: 8, p: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-210)\/(-392))*(4\/6)\/((-196)\/147)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357451 is divided by 180.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2, -316849, 3 in increasing order.\nAnswer: -316849, -2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z)\/(z\/((z\/(z\/z**6))\/z)))**30 assuming z is positive.\nAnswer: z**(430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**3 - 3*v**2 + 2*v - 1. Let x(u) = -u**3 + 8*u**2 - 11*u - 1. Let p be x(6). Let i(w) = w**2 - 1 + p - 3. What is 3*i(n) + r(n)?\nAnswer: -6*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, -2.\nAnswer: -23, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j\/(j*j**0))\/j)\/j)**(-3\/19)*(j\/(j\/(j\/j**0*j)))**(-17\/6))\/(j*j\/((j\/j**(-1\/3))\/j)*j*j*j*j*(j*j**3)\/j)**37 assuming j is positive.\nAnswer: j**(-18592\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {h: 4, p: 3, k: 3, c: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1062, 0.\nAnswer: -1062, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:10 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxcz. Give prob of picking 1 c and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6954236 is divided by 1811.\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anaaaaaa. Give prob of picking 1 n and 3 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035661687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51856 and 78710.\nAnswer: 4407760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043022 (base 8) to base 6.\nAnswer: -10000402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 1502961*g**2 - 1502961*g**2 + g - 272*g**3.\nAnswer: -272*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j - 6. Let q be l(-2). Suppose 16 = -q*p + 4*p. Suppose z + 289 = p*z - d, -4*z + 412 = 4*d. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = -k - b, 2*b = -8. Put 2, k, -5 in decreasing order.\nAnswer: k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 3*d**2 + 3*d - 1. What is the smallest common multiple of x(-3) and 58 - 38 - (1 + -1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -10, -2*y - j + 11008 = -5*j. What is y rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -497 + 485. Solve -f*k - k - 19 = z, z + 7 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 2*p**2 - 8*p + 3. Let u be a(4). Let k(v) = 2*v - u*v - 4 + 2 + 2*v. What is k(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3 + 1. Let z be ((-56)\/20)\/(s\/25). Let y(i) = -i**3 + 5*i**2 - 3*i + 6. Let q be y(4). Calculate the greatest common divisor of z and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234870786 divided by 525438?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -826? (a) -0.1 (b) -12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115297 - 3?\nAnswer: -11529a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = 3*j, -3*h + 2*j = 7*j - 37. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millennium in years?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-10 - 0) - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/8 and 43\/15428.\nAnswer: 30856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(3*j + 0*j - 7*j) + (-2080 + 2080 - 47*j)*(4 + 0 + 4).\nAnswer: -384*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*f = 1 + 3, 5*f = -5*n - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2017 - -2017. Let a(h) = -h**3 + 5*h**2 - 4*h + 2. Let y be a(4). Suppose 3*o + 2*r - 708 = l, 714 = 3*o + 2*r + y*r. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 160.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/8 - (-1)\/4. Let s(f) be the second derivative of 1\/2*f**2 - 1\/12*f**4 + 0 + 2*f + 2\/3*f**3. Calculate s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*o - 12, 2*o = o. Let j(v) be the second derivative of -v**3\/3 + 2*v**2 + v. List the prime factors of j(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13137, -13138, -13139, -13140, -13141, -13142?\n\"Answer: -m - 13136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - t - 130. Let u = 25 + t. Which is smaller: u or -1\/10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - -1*sqrt(18) - (1 + sqrt(288)))**2.\nAnswer: 12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*g + 3 + 3*g)*(0*g + 0*g - 2*g**2) as m*g**2 + a + v*g**3 + s*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 36.8. Let h = -0.8 + p. Let w be (4\/33)\/((-18)\/27). Which is the third smallest value? (a) 0 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 63 = -4*p, 4*m - 2*m = -4*p + 46. Suppose 7 = 2*n - 4*v - 7, -3*v + m = n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/72*(-138)\/(-2024)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2 - 14. Let t = -2 + a. Let i(d) = 4 - d**3 - t + 3*d**2 + 5*d + 0*d**2. Give i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g + 150. Suppose -5*v + g = 5*u, 3*u + 4*v - 31 = -8. Is u smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i + 2*i**2 - 50*i + 17*i + 15*i + 7 + 11*i. Let d(q) = q**2 + 4*q + 6. What is -4*d(t) + 3*u(t)?\nAnswer: 2*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3301948623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 7:07 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519920199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 387, 1, -1, -5 in ascending order.\nAnswer: -5, -1, 1, 4, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/10, -0.04, 2, -4, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430634282.\nAnswer: 2, 13, 29, 571133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-2))\/b)\/b**(-1\/3))\/((b*(b\/b**0)\/b*b)\/(b*b\/b**(-1\/5)*b))*(b**(-1)\/b)**(-1\/43)\/((b\/b**(-1\/3))\/b)**(-25) assuming b is positive.\nAnswer: b**(8329\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-151 - 1)\/(4\/(-14)). Let p be 0*((-1)\/(-102)*-39 - (-4)\/(-34)). Suppose -j + p*j = -4*w - 145, -4*w = -4*j + z. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 11. What is f(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*y - 513*y = 221*y + 89397 for y.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-100)*(-19)\/456*-30.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 4. Let n be b(-4). Let j be n - (-1*4 - -2). Find the first derivative of -3 + 3*i**2 - 2*i**j + 2 wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rrrrrrrvvrrrrvrr.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -19) + (-13 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 1. Let r(b) = 3*b + 2. Determine 4*g(h) + 3*r(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 6*y**2 - 11*y + 6.\nAnswer: -(y - 3)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272091072 divided by -12367776.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*115\/(-4)*10\/25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77598 - -1475538\/19. Let r = -62 + p. What is the smallest value in r, 1\/11, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/7)*y*y)**(-2\/45) assuming y is positive.\nAnswer: y**(-58\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + d - 2)*(-2 + 3 - 2) + (-108 + 117 + 79)*(5*d + 2*d - 4*d))*(-3*d + 2*d - d)*(4 - 4 + 2*d) as t*d + l + r*d**3 + z*d**2 and give r.\nAnswer: -1052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(192) + 2 + sqrt(192) + -5 + (0 + 0 + sqrt(192) - (sqrt(192) + 1 + -2)) + 5 + -1)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*7\/21*(-60)\/320*(-372)\/(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 708\/(-472) + (5 + -3)\/(2\/(-7))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = i + 218, -x - 169 = 2*x - 2*i. Let f = x - -126. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4137050 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 7, -52, -4 in descending order.\nAnswer: 7, -2, -3, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(8\/9)*j*j**(2\/29)*j*j*j assuming j is positive.\nAnswer: j**(1294\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at least as big as -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - c - 4. Let k(i) = -i**2 - i - 5. Let x(b) = -5*k(b) + 6*m(b). Suppose 5 = 3*s + 2. Suppose -2*d = -s + 5, d + 17 = 5*r. Calculate x(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 10*l - 12 = 0. Calculate l.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 2*d + 1. Let k be o(1). Suppose 2*m = k*m - 4*f - 172, 2*f - 202 = -m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 2*f**2 - 16*f**2 - 19*f**2.\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.5 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4109 + -1216. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptnctcttppcttc. What is prob of sequence tttt?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 2159178?\nAnswer: 2159177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*6\/30)\/(3 - 1). Suppose z + 9\/2*m**2 + 3\/4*m**3 - 21\/4*m = 0. What is m?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0 + -3 + 1)*0. Let u(t) = t**2 + 114. What is the hundreds digit of u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(208) - (-2*sqrt(208) + -2)) + -2 + 1 + sqrt(208))*4)**2.\nAnswer: -159792 - 1536*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915878 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + 14)\/((1*4)\/2). Solve 4*b + g = 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 68 = -n - 1, 3*n + 4*c - 57 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 591?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12)\/((-2)\/5*165\/792).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 - 47. Let j = 193 + o. Let l = 0.26 + 0.04. What is the smallest value in l, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 + 2.3. Put -0.1, 5, o in descending order.\nAnswer: 5, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 19*i + 11. Let y = -10 + -7. Let c be s(y). Suppose u - l = -2*l + 10, 5*u + 4*l = c. Solve 15 = -5*r, -k - u*r - 15 = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/((-1425)\/6)*100\/40?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + (-4 - 3)) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.354569kg?\nAnswer: 9354569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (19 + (20 - 42) - (-3 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 46190 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 8. Let o be u(9). Let j be 1 + (3 + o - 0). Let y(c) be the third derivative of -c**6\/120 + c**5\/12 - c**4\/8 - c**2. Give y(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*h**2*l**2 - 11*h**2*l + 27*l**2 + 477*l wrt l?\nAnswer: 120*h**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-1204)\/(-860)*30\/924?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 65.260492154 and -0.1.\nAnswer: 65.160492154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5382539 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3094 + 3096. Let p be ((-3)\/(-2) - 2)*-8. Solve s*v - 2 = p*l, -l + v = -v + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/600 + k**4\/10 + 17*k**3\/2 + 12*k**2 - 2. Let j(u) be the first derivative of l(u). Factor j(b).\nAnswer: -3*(b - 2)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 57 - 5*q**2)*(54*q + 62 + 82 - 146) + q**2 + q**3 - q**2 in the form b*q**3 + r*q**2 + u*q + k and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-81)\/(-2)))\/((-2)\/90)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -19*a**2 + 8*a + 4 + 9*a**2 + 13*a**2 - 4*a**3. Let u(g) = -g**2 - g + 1. Let c(z) = b(z) + 3*u(z). What are the prime factors of c(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8328697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 78*h + 324. Calculate a(4).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63950.4 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5204707557?\nAnswer: 3, 7, 247843217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.91. Let o = 0.17993 - 5.17993. Sort s, -3, o.\nAnswer: o, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*3 + sqrt(11))**2 + -2 + (sqrt(121)\/(-3*sqrt(11)))**2 + sqrt(275) + (4 + -2*sqrt(275) - sqrt(275)) + 1 + -5.\nAnswer: -10*sqrt(11) + 1577\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 1. Let b(t) = t**3 - 15*t**2 - 15*t - 26. Let z be b(16). Sort -4, z, f in increasing order.\nAnswer: z, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = z - 602, -2*z + 4*z + n = 1249. What are the prime factors of z?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4228 * 592.\nAnswer: -2502976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-108))\/((-4)\/(-6))*3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1326*k + 79548. What is v(60)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwppwkpp. What is prob of sequence pww?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/3 + 1021*x**3\/3 + 1365*x**2 + 5123*x\/3 + 2050\/3 = 0.\nAnswer: -2, -1, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 - 7*t**2 - 13*t**3 + 7*t**2.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.86 - 3.86. Let z = -49 + 48. Which is the closest to -3? (a) z (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 6. Let r be l(-4). Suppose 3 = -3*q - 3. Is q at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(11\/(-3) - (-4)\/1). Solve -v*y = 2*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*b - 105*m + 106*m, 5*b - 2*m + 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -234 + 3?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2012, 2008, 2002, 1994, 1984?\n\"Answer: -z**2 - z + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 44763*m + 1566690. What is x(-35)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4*1\/(-4))\/((-12)\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59461810.\nAnswer: 2, 5, 5946181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 41.7058 * -8\nAnswer: -333.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155639 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 8*s**2 + 9*s + 9. Calculate l(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4779*g - 4768*g + 9547*g + 3*g**2. Let m(z) be the first derivative of -5*z**3 + 1. Calculate m(r(i)).\nAnswer: -135*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q + 0*q**4 - q**2 + 4*q**4 + 8*q**4 - 11*q**4 as d + k*q**4 + w*q**3 + v*q + c*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/40 and 91\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*3*(-11)\/165. Is -2\/2061 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**6\/30 - a**5\/20 - a**4\/12 + a**3\/6 + 20*a + 30. Let b(z) be the first derivative of p(z). Suppose b(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13401714257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -0.06.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzuu. What is prob of sequence uz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -96*j + 50*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkttxtx. What is prob of sequence xtkk?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12735, -50989, -114771, -204087, -318943, -459345, -625299?\nAnswer: -816811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -j - 2 - 21, 5*j = 4*d + 128. Let v be (-6)\/d - 129\/(-27). Suppose 83 = v*n + y + 6, 4*n = -4*y + 68. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27723251 (base 8) to base 7\nAnswer: -104165521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5) + 10 - (-159 + 155)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6911 - -82859\/12. Find the common denominator of -1 - (250\/(-12) - -1) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -2\/17 (b) 1.1 (c) 3 (d) -3 (e) 0.7 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 4*g. Let d be c(4). Suppose d = -i + 2*i. Solve i = -5*p - 2*r + 3*r + 5, 5*r = p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 629917?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 11)*(2 + 2*n**2 - 2) + (3*n - 3*n + 2*n)*(n - n - n + (3*n + n + 7*n)*(-5 + 1 + 2)) as u*n**2 + w*n + p and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148066733111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.109785 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.6 - 65.22. Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*q**4 + 5794*b - 2503*q wrt q.\nAnswer: 4*b*q**3 - 2503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 82*w**2 + 0 + 0*w + 1\/105*w**7 - 25\/4*w**4 + 0*w**6 + 0*w**3 + 19\/30*w**5. What is the second derivative of n(l) wrt l?\nAnswer: 24*l**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2257*h**3*i**4 - 2*h**3*i**3 - 536*h**3*i**2 + h**3*i + h**3 + h**2*i wrt i?\nAnswer: 54168*h**3*i - 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 3, n: 3, i: 1, w: 1}. Give prob of picking 1 i and 1 t.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 19. Determine z(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 0 + 1 - 1 + 1. Let j(s) = -s - 5. Let c(z) = 5*g(z) + j(z). Let w(f) = -f**2. What is c(w(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*l + 19*i, 137 = 4*l - i + 155 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 146 = -2*c, 695*c - 338*c - 169 = 345*c - 5*f for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 6*x - 6. Determine p(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223388078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5178 + 5199. Solve -303 = 47*o - x for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4.96541 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/(3\/9). Sort r, 0, 5 in descending order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 9:35 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 66179862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.22 - -3.7. Let d = -2.4971 + k. What is d rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -822 divided by -1356\nAnswer: 137\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 102*h. Let t(g) = -262*g + 3. Calculate c(t(w)).\nAnswer: -26724*w + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52278 and 0.5?\nAnswer: 26139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a. Let y be h(-2). Let z be 2*10\/y*-2. Suppose -91 + 6 = -z*f. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 45\/20)\/(28\/40 + -1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-6) + 256\/(-8). Is -29 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 - 6*f**2 - 16*f**3 - 11*f**3.\nAnswer: -27*f**3 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13480 - 13479.9829. What is v rounded to four decimal places?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o - 1. Let c(u) = 9*u + 1. Let b(g) = -7*g - 3. Let h be b(-1). Let r(y) = h*c(y) + 7*f(y). What is the remainder when 69 is divided by r(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -59, -96, -137, -182, -231, -284?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54214*b**2 - 24*b**3 + 54214*b**2.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:31 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2730129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 4622\/20 - -2. Let r = n - -226. What is the common denominator of (-124)\/(-9)*5\/(-10) and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/10)*n)\/n**(-6\/5))\/(n**8)**18)**(-33) assuming n is positive.\nAnswer: n**(46827\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -112*d**2 + 179*d + 18. Determine o(3).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -24 - (5 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29*1672\/2204*45\/(-18)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 l when three letters picked without replacement from {u: 1, o: 5, e: 6, f: 1, h: 1, l: 6}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 10*o + 21. Let p be a(6). Let w be p\/(-6*5\/200). Let c = -8 + w. Solve 2*f - 4 = -c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 746*b - 28969. What is p(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u**(3\/4)\/u)**(-16) assuming u is positive.\nAnswer: u**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16\/(-6)*39\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 + 163.6. What is the closest to -4 in 2, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1485750.997 to the nearest one hundred.\nAnswer: -1485800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.55?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2885458.\nAnswer: 3\/2885458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, b: 4, k: 6}. Give prob of picking 1 k and 1 b.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2125461 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6887598 and -49\/58?\nAnswer: 199740342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702?\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -832.3 - -832.8. Which is the closest to 42? (a) -2 (b) -5 (c) w (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, 22, -54, 2 in ascending order.\nAnswer: -54, -5, -4, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 32?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -296901800 to the nearest 100000.\nAnswer: -296900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, x: 4, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 2*o - 3. Let y(v) = -6*v**2 - 8*v - 5. Let h(r) = -18*r**2 - 23*r - 15. Let d(l) = 4*h(l) - 11*y(l). Calculate 3*d(a) - 5*w(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/6*(-4)\/96*4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1093 - 1097.43. Let l = -4.53 - q. Let f be 2\/4 + 7\/(-18). What is the second smallest value in l, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 36. Let h = g + -16. Put h, -3, -0.4 in ascending order.\nAnswer: -3, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187.82 - 186.82. Which is the nearest to 0.02? (a) u (b) 0.5 (c) -5\/2 (d) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/3 - 2000*r\/3 + 2005\/3.\nAnswer: -5*(r - 1)*(r + 401)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273, -277, -277, -267, -241, -193, -117, -7?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176237405\/12 + -14672319. Let w = j + -14121. Let m = -68405\/12 - -5696. Find the common denominator of m and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*((-12)\/(-10))\/(-2). Let i(b) = -4*b - 15. Let j be i(-3). Put m, -1, j in descending order.\nAnswer: m, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1889006 is divided by 629599.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 44409*n + 88814 = 0. What is n?\nAnswer: 2, 44407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 139 (c) 6993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*m - 3*s, 0*s - 25 = 5*m + 2*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.101 + -0.201. What is the nearest to y in 3, 5, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10*l + 10*l - 19*l)*(10*l**2 - 10*l**2 + 4*l**3).\nAnswer: 4*l**4 - 20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.23644707 and -0.06.\nAnswer: -0.0741868242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 448*j - 29448. Let c be z(66). Determine m, given that 838*m**2 + 4 + 961\/4*m**4 - c*m + 930*m**3 = 0.\nAnswer: -2, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 61*y**2 - 61*y**2 - y + 125*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-1 + (-6 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 525\/140 + (-2)\/(-8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -84 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -429*g**5 + 411*g wrt g.\nAnswer: -8580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, z: 1, j: 3, x: 1, b: 1, d: 6}. Give prob of picking 1 p and 2 d.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10593.2 rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -625 + 625 + 4*u + 10*u**4 + (2*u - u + u)*(2*u**2 - 2*u**2 - u**3) + u**4 + 3*u - 3*u + (-u**4 + 4*u**2 - 4*u**2)*(-4 + 5 - 4).\nAnswer: 12*u**4 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201 (base 3) in base 10?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 13298*y. Let x(i) = -3*i - 11. Calculate u(x(h)).\nAnswer: -39894*h - 146278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/(-130))\/(-1 - 10\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 - 68. What is the biggest value in 0, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*m**2 + 3*m**2 - 108*m**2 - 199*m**2.\nAnswer: -609*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.84 - -2.75. Let g = l - -49.19. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Suppose g*v + 5*m + 50 = 0, -2*v + 3*m - 6 = 2. Is -10 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 9363*o**2 + 84098*o - 793. What is k(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 64, 150, 280, 460, 696, 994, 1360?\n\"Answer: j**3 + 13*j**2 + 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.2 (c) -7299\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kktoavsv. What is prob of picking 1 t, 1 v, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = 4*m, -4*m + 713 = 5*i. List the prime factors of i.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Let r be (-2095)\/10 - (-2)\/x. Let c = 320 + r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479 - 479 + 672*o**3.\nAnswer: 672*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + -2 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2160 and 3240?\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*w - 517*w - 418 = 0. Calculate the remainder when 681 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 672, 2348, 5132, 9018, 14000, 20072?\n\"Answer: -n**3 + 560*n**2 + 3*n + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4, -o - 9 = -31*r + 29*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 7*x + d - 24, x + 3*d = 16. Suppose -20 = -x*k - k. Solve z - k = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*c - 47*c - 46*c - 41*c - 42*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let i(h) = -h**3 - 3*h**2 + 31*h + 79. Let o be i(-6). Let f(y) = 6*y**2 + 8*y - 2. Determine o*f(n) - 6*d(n).\nAnswer: 6*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589?\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32927*b*c - 29695*b + 2 wrt c?\nAnswer: -32927*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 39*s + 13*s)*(3 - 1 - 4)*((3 - 3 - s)*(0*s + 2*s - 3*s) - 6*s**2 + 18 - 18) to b*s**2 + n + d*s + g*s**3 and give g.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 - h**2 + 5*h + 11. Let y be n(-7). Let w be (1 - (y + 2))\/1. Is 3 - (w\/(-9))\/5*12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 6, -21 in descending order.\nAnswer: 7, 6, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6*((-459)\/2)\/9. Let c = 34 - b. Suppose 0 = 3*u - c*u - 576. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from jqfjqqhhffjjhfqlqllq.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p*p\/(p\/(p*p**(-1)*p)))\/p)\/p*p*p**(-5)*(p\/((p**0\/p)\/p))**(38\/3) assuming p is positive.\nAnswer: p**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*m + 4077 - 4077 + 8959*m as g*m + u and give g.\nAnswer: 9059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-68)\/(4 - 0) + -3. Let a = 41 + c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, b: 6}. Give prob of sequence tbtb.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -14094112 and -0.246.\nAnswer: -14094112.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:49 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mec when three letters picked without replacement from {o: 2, e: 3, m: 5, c: 9}.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 220 = -3*m. Calculate the remainder when ((2 - 3)*-8)\/2 - (15 - 184) is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -38729?\nAnswer: -38729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 720 = -35*r. Solve 5*y + 11*f - 6*f = -r, -2 = -5*y + 3*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99146976 a multiple of 2472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -773*y**3 + 4*y**2 + 8*y + 4. Let i(f) = -149189*f**3 + 773*f**2 + 1546*f + 773. Determine -4*i(a) + 773*r(a).\nAnswer: -773*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j + 282. Let z be p(0). Let a = -118 + z. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*a**3*d**2*v*x - 2*a**3*d**2*x + a**3*v*x - 2*a**2*x - a*d**2*v - 3*a*d*x + a*v + d*v wrt d.\nAnswer: 26*a**3*v*x - 4*a**3*x - 2*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73339.63 years to months.\nAnswer: 880075.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 11) + (-3 - 10) + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - ((-6 - 10) + 10)) + -10 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10 - 2 - 10*u - 3.\nAnswer: -10*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**5 - 6*o**4 + 77*o**2 wrt o?\nAnswer: 480*o**2 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:01 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/6 + 15*x**2 - 1\/3*x**3 + 61\/4*x.\nAnswer: -(x - 46)*(2*x + 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + a**2 + a + 7. Let g be y(0). Suppose 4 = -5*m + g*m. Solve -d - m = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.261, -10, -0.1, 3, 2\/13, -0.2, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7580530 - -7584855.113. Let g = p + -4328. Let k = -2.9 - g. What is k rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*p = -p - 4, -2*v - 12 = -3*p. Put 5, v, -5 in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*r + 458 - 290 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1\/26, -2, 0.01724, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8899731103?\nAnswer: 4799, 1854497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 4*y**2 - 3*y. Suppose 30 = -4*s - 5*u, -2*s + 11*u - 18 = 15*u. Let n(g) = 3*g**3 - 7*g**2 - 5*g. What is s*j(x) + 3*n(x)?\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 206, 317, 446, 599, 782, 1001, 1262?\nAnswer: 1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 + 27*a - 32. Let m(d) = 3*d**2 + 9*d - 11. Let n(s) = 11*m(s) - 4*y(s). What is n(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, -396, 0 in decreasing order.\nAnswer: 20, 0, -4, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 + 254. Solve -6 = 4*o + l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 11*j - 2*j - 3*j**2 - j + 10*j.\nAnswer: 3*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*l + 5, 0 = 2*l - 5*l + 5*y - 2. Suppose 4*x + 2 = -3*n + 3*x, x = l. Let w = 6 - n. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + k + 6*k - 6*k = 11*k + 86 + 39, 0 = -4*k - 44 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.004 + 0.004. Let v = 0.61 - 0.41. Which is the biggest value? (a) o (b) -1\/2 (c) -1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 13976 + 199120 = -21826. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 5, 3\/4, 0.4, -4 in decreasing order.\nAnswer: 5, 3\/4, 0.4, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**7\/210 - 7*a**5\/60 - a**4\/8 + 7*a**3\/6 - 53*a**2. What is the second derivative of w(v) wrt v?\nAnswer: -12*v**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259856 - 37418945\/144. Let k = a + -31\/16. Let s = -2191\/160 + 83\/32. Calculate the common denominator of k and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.2733\nAnswer: -1.3665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91501 is divided by 914?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161408 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:56 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*a**6 - 248492*a**5 + 130823264*a**2?\nAnswer: 5520*a**3 - 14909520*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from fcfefcfefe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/9310 and 47\/78533574?\nAnswer: 392667870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 497?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/14 - (-2)\/7. Let k be -1 - (-44)\/(i - -4). Let p = k - -35. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0 - -4) + -5. Let r(t) = 18*t**2 - 2*t. Is 11 a factor of r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = -3*y + 1, 0 = -3*y + 6. Suppose -20 + 50 = l*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-2))\/95)\/(-9*17\/306).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 50. Let j be (6\/9 + 2*-1)*k. Calculate the highest common divisor of 30 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -6.9 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 13. Suppose -s + b*j + 1509 = 0, -4*j = 2*s + 741 - 3779. Let x = s + -734. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 3638376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - -17. Let r = l + -47.9979. What is r rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzjl. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1872)*-2 + 3 - (-3*sqrt(26)\/sqrt(2) + ((-1*sqrt(130) + sqrt(130) + sqrt(130))\/sqrt(10) - sqrt(13)))) + -3 + -5)**2.\nAnswer: -672*sqrt(13) + 91744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)*i\/i**0*(i**0*i)**38 assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-12)*224\/(-42). Put 5, l, -4, 0 in descending order.\nAnswer: 5, 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 6. Let r(q) = -6*q + 200. What is r(x) + 4*t(x)?\nAnswer: -2*x + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -45, -98, -183, -306, -473, -690?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4207\/6 - -21053\/30. Let n(y) be the third derivative of -3\/20*y**6 + 1\/70*y**7 + l*y**5 + 0*y + 0 + 0*y**3 - y**4 + 22*y**2. Factor n(s).\nAnswer: 3*s*(s - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111526 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000295729 rounded to 6 dps?\nAnswer: -0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1036 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 68670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3 - k**3 + 3*k - 2 + 10*k**2 - 7. Let t(d) = -16*d + 106. Let w be t(6). Is s(w) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-34 - -5)) + -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 - 123676*q**2\/5 - 247349*q\/5 - 123674\/5.\nAnswer: -(q + 1)**2*(q + 123674)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 1 + 17*d**3 - 15*d**3 as n + m*d**2 + h*d + j*d**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5*h + 33, 1028*h - 3*x - 8 = 1024*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -19*i**7\/105 + 59*i**4\/8 - 2*i**2 + 39*i. Find the second derivative of y(s) wrt s.\nAnswer: -456*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/12 + 13*z**3\/3 - 27*z**2\/2 - z - 42. Solve j(s) = 0 for s.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59659 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-35)\/(-4))\/((774\/16920)\/43). Calculate the greatest common factor of 235 and o.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 42. Suppose 5*i = -5, -2*j - 3*i = -0*j - 81. What is the greatest common factor of j and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 - 164. Calculate the remainder when 393 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36128 + 36171.961. Let a = b - -0.039. Let q = -44.0000049 + a. Round q to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.97 + 0.03. Let q = -4.6 + u. Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 4*s - 1. Let h(i) = i + 1. Let g be (12\/3 - 2) + 1. What is g*h(p) - l(p)?\nAnswer: -2*p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adudndulyyy. What is prob of sequence nuyd?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86767580 and 8220.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -25, 1, -1 in increasing order.\nAnswer: -25, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 13 = -s. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/12 - o**3 - 2*o**2 + o. Let w(n) = n**2 - 7*n - 4. Let y be w(7). Let x be z(y). Solve -4 = x*f + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9.1. Let r = -180403 - -180399.89998. Let b = s + r. What is b rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2137.3 + 2136. What is the smallest value in p, -5, 44?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + 186\/30. Suppose 0*n - 3*n + f = 0. Factor -16 + 6*t**2 - 4*t - 4*t**3 - 18*t**n - 32*t - 12*t**2.\nAnswer: -4*(t + 1)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02498 and 0.0032?\nAnswer: 0.02178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than or equal to 34\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 1472219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 6\/4)*-2. Let l = -1.94 + -0.06. Put v, l, -0.3 in ascending order.\nAnswer: l, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 29. Suppose -2*v - 6 = -5*v. Does 12 divide (12\/j)\/(v\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 less than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v**2 - 2*v - 9. Let u(k) = -7*k**2 - k - 5. Determine -6*l(z) + 11*u(z).\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:51 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, 38 in decreasing order.\nAnswer: 38, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lclf when four letters picked without replacement from {l: 1, e: 2, o: 1, c: 1, x: 2, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 287\/6 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/24)\/((15\/12)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 75785 = 0. Suppose p = -18*n + 41*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 27 + 759 = 0. Suppose -62*l + 21 = -a*l. Are l and 43\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8 + 70*i**3 - 5 + 0*i - 888*i**3 + i - 5 + 2*i**2. List the prime factors of k(-1).\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.4, -0.01, 1, 32, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvvssvvvvvvvsssvvs. What is prob of picking 4 v?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20675b - -3?\nAnswer: 206762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50478.59um to meters.\nAnswer: 0.05047859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/48*-20)\/(1\/2*-22)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 346734870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/300 - z**4\/60 - 6*z**2. Factor r(h).\nAnswer: 2*h*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2236355*b**2 - 11093*b**3 + 2236355*b**2.\nAnswer: -11093*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 722503732 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/24)\/((-16)\/32). What is the third biggest value in 3, y, -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**4 + 5*b**4 + 3*b**2 - 6*b**4 + b**3 - b**2 - 6*b in the form z*b**4 + o + r*b**3 + h*b + w*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 75109.\nAnswer: 3\/75109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = -g + 70, -4*g + 265 = -q. Let w = 24 - 7. Calculate the remainder when g is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + sqrt(19) + -3)**2 + -3*(sqrt(171))**2.\nAnswer: -421 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-2432)*(15 + (-44 - -25))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 - -124.8. Let v = 15\/11 - 56\/33. Sort 0, 0.1, s, v in decreasing order.\nAnswer: 0.1, 0, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 3437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 88 - 90*b + 0*b**4 + 0*b**2 + 82\/5*b**5 + 0*b**3. Find the first derivative of s(o) wrt o.\nAnswer: 328*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287.8 and 14.\nAnswer: -4029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9908, 15337, 24386, 37055, 53344, 73253?\n\"Answer: 1810*a**2 - a + 8099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Suppose 3*l + 11 = -2*t, 7 - k = 2*t - 2*l. What is the units digit of (-9 + t)*8\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1902 + 1895. Which is the closest to -1? (a) j (b) 0.06 (c) 3\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157032?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 86 = -2*v, -59*v + 63*v - 2*m - 156 = 0. Let i be (2 - 52\/28) + v\/(-168). What is the closest to 11 in -2, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3633 (base 7) to base 6.\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/7)*y*y*y*y**16 assuming y is positive.\nAnswer: y**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -32045 > -32047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 206*d - 195*d + 170*d - 2*d - 1 + 1 - d - d + 3*d + 2 - 2 - 2*d + d + 0*d - 2*d + (-2*d - 1 + 1)*(0 + 4 - 3).\nAnswer: 175*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -g + 9, m + 4 + 3 = 2*g. Suppose -m = -3*b + 8. Find the second derivative of -2*n**2 + n + 0*n**b + 2*n**2 + 2*n**3 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6666.298 years in months?\nAnswer: 79995.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*w - 6924 = -196*w + 146*w + 10170 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138121238*b**3*c**3*p + 12*b**3*c**2*p + 8*b**3*c*p - b**3 + 2*b**2*c**2*p - b*c**2*p - 22 wrt c.\nAnswer: -828727428*b**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 6. Suppose 8 = 2*f + 2. Suppose -126*y = -130*y - 20. Sort y, f, c in increasing order.\nAnswer: y, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, p: 1, c: 4, d: 5}. Give prob of sequence nj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -41. Solve -z - 3*z = j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 37466*j. Let y(x) = -127*x. What is 4*v(s) + 1179*y(s)?\nAnswer: 131*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4919.\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 11*c**2 - 10*c + 5. Let x be f(10). Suppose -3*r + 8 = x*a, 2*a + 2*r - 3 = r. What are the prime factors of 6 - 1 - (a - 21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -483*d*k**4 - 43*d*k**3 + 3139*d*k**2 + 2*d*k + 2*d + k**4 + k**3 + 101*k**2 wrt k.\nAnswer: -11592*d*k - 258*d + 24*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5478841\/38 - -321337843\/2204. Let b = -6477\/4 + i. What is the common denominator of b and 71\/12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*l**3 - 3*l**4 - 6*l**4 + 4 - 6*l**3 with respect to l.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 5*y - 2*y)*(4 - 1 - 2) - 6211*y - 1266*y - 4547*y + 1473*y to the form i*y + g and give i.\nAnswer: -10549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061 + 1055 = w + 2173 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83088 times -0.177?\nAnswer: -14706.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 51 = 3*d, -220*i + 215*i = -46*d + 208 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1188*g**2*x**3 + g**2*x**2 + 538*g**2*x wrt x.\nAnswer: -7128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 12*b**2 - 24*b - 8. What is the remainder when 116 is divided by f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/23))**(-17) assuming t is positive.\nAnswer: t**(-357\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-905 + 2296 + 1355)*(-h + 0*h - 2*h)*(0*h + 0*h + 2*h) as g + n*h + r*h**2 and give r.\nAnswer: -16476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 10*n**2 - 18*n + 17. Let r be u(-8). Does 11 divide (((-4 - -2) + 1)*r)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Let q = -1.5 + 1. Put q, g, -2\/11 in descending order.\nAnswer: g, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3434753 and -3434755 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 + -1100?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-378)*-21)\/(2\/12*9\/279)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 464*y - 115084. Calculate g(-179).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from nvvvvvnvvvvvvvvvvv?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q + 621. Determine f(12).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + d**4 + d**5 - d**4 + (7*d - 7*d - 4*d**3)*((-2*d + d + 0*d)*(-2 + d + 2) - 3*d + 3*d + 2*d**2 + 9*d**2 - 7 + 7 - 5*d**2 + d**2 + 3*d**2).\nAnswer: -35*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-1)\/(-3) + (-165032)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 32*p**2 - 6*p - 13. Suppose -2*n - 32 = -54. Is g(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1310 + -310123?\nAnswer: -312033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o - 9. Determine y(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j + 2. Let h be g(-1). Suppose 0*b + y = b - 6, -h = 4*y. What is the common denominator of 25 and -1 + b - 35\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -33\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -9*z, z + 9460 = 4*c. Is 65 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6509875 to the nearest integer?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let d(c) = -62 - 2 + 18344654*c**2 - 16*c - 18344652*c**2. Give a(d(p)).\nAnswer: 2*p**2 - 16*p - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1331) + -1 + sqrt(1331) + 0 - (0 + sqrt(1331) + 3 - sqrt(1331))) + -4*(sqrt(1584) + (sqrt(1584) - -6*(-1 + sqrt(1584))))*-4.\nAnswer: -84 + 1470*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -167, 16, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -61. Is 5 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5521 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3559*f - 1237*f + 4469*f + 8494*f to d + c*f and give c.\nAnswer: 15285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7 + l**2 - 1 - 2*l**2 + 11*l. Let x be j(11). Let b = x + 14. Solve 0*w + 2*w + b = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215251 (base 6) to base 7.\nAnswer: 103366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u + 1638333 = 78*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-677)\/1354)\/((3\/(-16))\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:05 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19439 + -0.14.\nAnswer: -19439.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 12837.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 115*h = 113*h - 12, -k + 4*h + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6768, 15, 4, -4, 1 in increasing order.\nAnswer: -6768, -4, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46 + 46 - 5*j**3 + 2*j**2 wrt j?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/35*(-1)\/(-3))\/((-52)\/3120)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368, 367, 366?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - q**4 + 4*q**4 - q**2 - q**4 + 4*q + q**2 + (q**3 - 2*q**2 + 2*q**2)*(-2*q + 1 - 1) + 3*q**4 - 3*q**4 - q**4.\nAnswer: -2*q**4 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-29 + (9 - -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 5*t**2 - 49 + 4*t**2 + 3*t**2.\nAnswer: -2*t**2 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -99486.06 rounded to the nearest 1000?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -893 - -1549. Let a = 4 - -18. Let z be 4\/a - h\/(-22). Solve g + 5*o - 18 = -0*o, -5*g - z = -5*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149592 - -4488229\/30. Let q = z - 43\/10. Factor -8\/3 - 10\/3*o**3 - 32\/3*o - q*o**2.\nAnswer: -2*(o + 1)*(o + 2)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5362 - 428 = 0. Let c = p - -5417. Let j be 0\/(-1) + 40*c. Round j to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2735*r - 869*r + 61578 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to -2944\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 + 7*f - 4. Let r be y(5). Suppose -r = -p - 3. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.88+-11\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 6*j + 1. Let y be q(-3). Let z(s) = s**2 + 7*s - 8. Let u be z(y). Suppose u*l + l - 10 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/12 - -5)\/(2\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 + -246. Which is the third smallest value? (a) w (b) 840\/17 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 12. Let o(m) = -m - 14. Let s(b) = 4*b + 42. Let i(j) = -7*o(j) - 2*s(j). Let f be i(9). Determine n(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -54.238 * -0.05\nAnswer: 2.7119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 180*g + 1620.\nAnswer: 5*(g - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-120)\/48 - (-2)\/4. Which is the closest to 3\/4? (a) -0.2 (b) h (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*w = -2, -4*s - 3*w - 146 = -129 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 436 and -148054?\nAnswer: 148490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002286 to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 9. Let r = 28 - w. Let n = -9 + r. Calculate the smallest common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/(i*i**(-3)*i))**(1\/6) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 4*x + 0 + 1\/4*x**2 - 1\/24*x**3 - 1\/48*x**4. Factor k(d).\nAnswer: -(d - 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7 - 4\/7*u**2 + 0*u.\nAnswer: -4*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*g**3 - 32*g + 57*g**3 + 1 + 9*g in the form p*g + s + a*g**3 + j*g**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*2235.552.\nAnswer: 1788.4416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 277190\/27 + -10268. What is the common denominator of -64\/15 and z?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8 + 16. What is the third biggest value in -0.1, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234\/10 + (-30)\/(-50)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = 1. Suppose -3 + 5 = a - v*n, 0 = a + 2*n - 2. What is c in 0 + 1\/5*c + 1\/5*c**a - 1\/5*c**3 - 1\/5*c**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718150.\nAnswer: 2, 5, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42938, -42939, -42940, -42941, -42942?\nAnswer: -42943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**3 + 0 - 1 - 5 + 1.\nAnswer: 28*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8482 and ((-38)\/80)\/(10\/25).\nAnswer: 67856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2381*v - 5. Let x be j(-5). What is x rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 - 136. Suppose -r*m + 1277 = -631. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 101111220221?\nAnswer: 101111221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntttnxz. What is prob of sequence zttx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 0)*(-27*s + s - 12*s) - 4 + 2*s + 4 - s - s + 0*s + 2*s + s - s + (-2 + 0 + 1)*(4 + s - 4) + 1 - 1 - 2*s - s - 3*s + 2*s)*(4 - 4 + 2).\nAnswer: -158*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-35)\/36) - 76\/532. Suppose x + x = -5*z - 10, 2*x = 3*z + 6. Solve x*v - 20 = u*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41\/318 + 2\/53. Let f be (-14)\/(504\/(-27))*16\/(-30). Which is the fourth smallest value? (a) f (b) -3 (c) 1\/4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270657.1 rounded to the nearest 10000?\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 - 101. Let n be -2 + 24\/r + (-8094)\/(-399). What is the highest common factor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/60 + 7*x**4\/12 - 10*x**3\/3 - 7*x**2. Let f be z(12). Suppose -f*k = -57 - 55. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7585415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 19*j. What is o(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 6*t - 15. Let o be m(8). Which is bigger: o or -3\/5734?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.04 - -276.96. Put 0.5, l, -0.5 in increasing order.\nAnswer: -0.5, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -0.162?\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 200 + 2*k**2 - 2*k**2 + 1286.\nAnswer: -6*k**3 + 1486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) -0.5 (d) 0.1 (e) -0.057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 3*h - h)*(h**2 + 2*h**4 - h**2) + 5*h**5 + 5*h**5 + h**5.\nAnswer: 21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13731 and 1393?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14709 and 95.7.\nAnswer: -1407651.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 511.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 + 6340*x - 6162*x.\nAnswer: 178*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 50 in descending order.\nAnswer: 50, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k + 337*k + 30762 - 12470 = 753*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*5\/(5\/(-4)). Suppose -u - 3*v + 5 = u, -5*u = -v - t. What is the units digit of 2\/(-1)*-1*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50855 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 53042*m + 954426. Calculate u(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4182 and 1734?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 12*v = 3*v + 3, -12 = -12*j + 4*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 221?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -175058 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g - 20*g + 12*g. Let v(t) = 4*t - 11. Let j be v(9). Solve 5*s - 4*u + j = g, 4*s + u + 15 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 4*h - 3*h)*(16481 + 132*h**2 - 16481) to m*h + x*h**2 + i + d*h**3 and give d.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1364 + -1340. What is the closest to -1 in t, 1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 + 0 + -14)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*y + 41 = 0, -49*y = -52*y - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16933015, 16933016, 16933017, 16933018, 16933019, 16933020?\nAnswer: 16933021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v - 1. Let h(j) = 16*j**2 - 3*j - 3. Let m(f) = 3*c(f) - h(f). Let a(p) = p**2 + 7*p**2 + 2*p**2 - 16*p**2 + 9*p**2. Give m(a(u)).\nAnswer: -117*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240\/11 - 22. Let z = -25.4 - 118.6. Let p = 143.97 + z. Which is the third smallest value? (a) p (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(2*a**4 - 4*a**3 + 4*a**3) + 0*a**3 + a**4 + 0*a**3 + (3*a**4 + 2*a**4 + a**4)*(3 - 1 + 0) - 3*a**4 + 0*a**3 + 0*a**3.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 563, -32, 4, -4, -2, -65 in decreasing order.\nAnswer: 563, 4, 0, -2, -4, -32, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2138592 and 271601184.\nAnswer: 271601184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26569461, 26569458, 26569455, 26569452, 26569449, 26569446?\nAnswer: 26569443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/9*4\/48\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4\/2 + 990*j**3 + 447225*j**2 + 28522190*j + 995803755\/2 = 0.\nAnswer: -213, -37, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 17*m + 4230. Let s(i) = -2*i**2 - 4*i + 1057. Determine 9*s(v) - 2*x(v).\nAnswer: -2*v**2 - 2*v + 1053","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1157, 16, 18 in decreasing order.\nAnswer: 18, 16, -5, -1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 178 = 116. Calculate the highest common divisor of n and 1582.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times -2147?\nAnswer: -111644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1341 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 6*x - 15. Let u be n(-2). Let d be u\/((-165)\/10) - 2\/3. Solve d = 4*a + 17 - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -12, 1, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + b = -3*k + 14, -4*b = -8. Sort k, 3, 2 in descending order.\nAnswer: k, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -3*t + 4*o - 336, -4*o + 424 = 5*t. Let l = t - -310. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99 - -101238?\nAnswer: 10115b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 11\/4*y**4 + 2\/3*y**3 - 7*y - y**2 + 212. Let d(c) = -6*c**3 - c**2 + c + 4. Give 7*d(i) + 4*v(i).\nAnswer: 2*i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.421 - -8.211. Put 0.01, g, 5\/6, 1 in descending order.\nAnswer: 1, 5\/6, 0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 2*w. Let a(d) = -d**2 + 3*d + 66. Let o be a(10). Let i(b) = -16*b**2 - 11*b. Give o*i(l) - 22*r(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 33, 5, 1 in descending order.\nAnswer: 33, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1249.6 (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from rbrrraraaarababaa?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2*k - 4, 391*k = 386*k - 15 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + r + 2. Suppose 23*d = 14*d. What is q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12735 - -0.06.\nAnswer: -0.06735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-28)\/21)\/(2\/(-30)). Solve 5*c + m = -s, -c + 2*c + 23 = -4*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -14)*-2*(-1)\/(-40)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h**2 - 9*h - 4. Suppose 4*z = n - 26, 1 = -2*z + n - 11. Let d be -1 + 14 - 14\/z. Suppose -2 = p + j, 5*p + 30 + d = 2*j. Give o(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -769 + 13.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128199 divided by 60.\nAnswer: -42733\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-15)\/(-5))\/45\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969170?\nAnswer: 2, 3, 5, 7, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/8610 and 38\/15.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = 0, 3*v - 5*x = 2*v + 11. Let z(j) = -j**3 + 5*j**2 + 10*j + 9. Let c be z(v). Suppose -213 = -3*p + c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83798460 minus 0.2?\nAnswer: -83798460.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i + 1828 + 857 = -635 - 541 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15043245, 30086487, 45129723, 60172953?\n\"Answer: -3*y**2 + 15043251*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 72. Calculate the common denominator of 101\/12 and (-3765)\/1200 - 1\/p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50951.\nAnswer: 50951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/72)\/(15\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(98)) + (-1*sqrt(98)*-1 - sqrt(98)).\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-2*sqrt(75)*5 - (sqrt(21)\/sqrt(63) + sqrt(3) - (sqrt(3) - (sqrt(3) + -1 + sqrt(75)))**2)).\nAnswer: -920*sqrt(3)\/3 + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265122 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Suppose -s + 17 = 3*i, -111 + 26 = -5*s - i. Let u = s - l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 785 + -791. Let w(x) = x**3 + 6*x**2 + 21*x + 127. Let p be w(b). Suppose -3 = -k + 3. Solve 2 = 4*u + k, 0 = 3*n + 5*u - p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -1044 - 1662. Let g(b) = 251 - 497 + 3*b + c. Let q(x) = x. Determine q(g(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -65*r**3\/6 - 3*r**2\/2 - 2*r - 7. Suppose 15 = -4*z - 1. Is c(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1059960 and -95\/635976?\nAnswer: 3179880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 8*x + 5. Let l be j(-6). Suppose -3*t = 9, -13*y = -11*y + 3*t - 281. Calculate the highest common factor of y and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1069450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13158*d**4 + 6583 wrt d.\nAnswer: 52632*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*l + 126, -77 + 265 = 5*b - 4*l. Solve b*i - 45*i + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 15*q + 4390 = -16*q. Calculate the remainder when q is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13035229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*a = -165, 0 = 5*y + 2*a - 6*a - 183. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010100001010101001111 - -1000110?\nAnswer: 101010100001010110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + 59. Suppose -4*q = 3*r - 86, 0 = -3*r + 5*q - 2*q + 114. Calculate the remainder when b is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -532, -2\/9.\nAnswer: -532, -8, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758648.3 days to nanoseconds.\nAnswer: 65547213120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -24*a. Let k(u) = u. Suppose t + 190 = 192. Let q(b) = t*l(b) + 66*k(b). Let g(w) = -w**2. Give g(q(c)).\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 1406206.\nAnswer: 14062.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(2\/145)*(w*w**4)**(-3\/25) assuming w is positive.\nAnswer: w**(-89\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 5960742907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r - u - 73 = 81*r, -4*r = -4*u - 64. Let j = 10 + -29. Let f = r + j. Solve f = 3*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(110) - 2*sqrt(110)) + sqrt(110))*-3)\/(sqrt(10) - (sqrt(20)\/sqrt(2)*-2 - sqrt(10))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000097 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 416167 smaller than 416169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2. Let s be r(5). Solve 5*a - 2*c = c - s, -5*a - 14 = 4*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -588261 or -588332?\nAnswer: -588261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000809 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 48130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4018786 is divided by 669719?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27683 in 1, 6\/7, 2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 1915, -1, -5 in decreasing order.\nAnswer: 1915, -1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c + 788. Give h(105).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7936 - a3?\nAnswer: -7a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n**2 + 2*n**4 - 4 - 26*n**2 + 12*n**2 + 2*n**3 to w*n + i*n**4 + b + y*n**2 + m*n**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 3*j + 86. Let v be t(-11). What is the least common multiple of (-90)\/(-54) + v\/(-6) and (-8)\/3*3\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -22 (c) -1 (d) 5 (e) 3\/4 (f) 17 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fc5 (base 16) in base 12?\nAnswer: -4859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 73996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 4*i + 3. Let p(n) = n**2 + n - 2. Let w(j) = -2*b(j) - 5*p(j). What is w(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 2*s**2 - 2*s + 1. Let b = 7 - 6. Let p be i(b). Suppose -5*r + 73 = -f - p*f, -2*r = -5*f - 43. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/183498 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5749 or 17?\nAnswer: 5749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -2502611*v + 2502600*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278 * 0.113.\nAnswer: -31.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s - 4. Suppose 18*t = 40 - 10 + 60. What is the closest to 3\/5 in -1, s, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -4, -0.09, 0, 1\/33?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u - 2. Let l(n) = 31*n + 6. Let v(x) = -5*i(x) - 2*l(x). Let g be (-1 - 1) + 1*6. Determine v(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2544, 58, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129331135 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15)*-4*-5. Let h = 14 - d. Solve 0*v - v = 2*m - h, 0 = -2*m + 5*v + 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106884300 rounded to the nearest one million?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-88)\/12)*(-7296)\/288\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/3821, -20, -1\/7, -2 in decreasing order.\nAnswer: 13\/3821, -1\/7, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -36*y - 24. Let q(d) = -252*d - 168. Let f(z) = 36*n(z) - 5*q(z). Suppose 7*o + 8 + 34 = 0. What is the units digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.2 - 13.2. Which is the fourth smallest value? (a) j (b) 1 (c) -0.2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1974786727 from -0.3351.\nAnswer: -1974786727.3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 0. Suppose t - b = 5*t - 3*y, 2*t + 10 = y. Let f = t + 8. Let u(i) = -i**3 + 3*i**2 + 2*i - 4. Determine u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*(t\/(t\/(t**(-4\/3)\/t)))\/t))\/((t*t**(1\/47)\/t)\/t))**(-4\/19) assuming t is positive.\nAnswer: t**(-2996\/2679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93.844 + -94. Let a = 1923 + -1922.8633. Let h = a + l. Round h to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 2*s, 0*s + 3*s = -4*f - 10. Let z be f\/(-2) - 100\/(-8). Suppose 10*c + 12 = z*c. Solve -4*m - 8 = 0, -k = c*m + 3 + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d**3 - 4*d**2 + 5*d**2 - d**2.\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 4*y**2 - 3*y. Let f = 4 - 6. Let l be s(f). Suppose 2*g**2 + l*g - 2*g**2 + 3*g**2 + 3 = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3917642, -7835294, -11752946?\n\"Answer: -3917652*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 15) + (2 - (11 - 11 - 36)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430*t**2 + 21 + 13*t**3 - 106*t**2 + 13*t + 869 + 522 + 529*t**2 wrt t.\nAnswer: 39*t**2 - 14*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.174 and 96?\nAnswer: -496.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*u, 5*u + 0*u = -15. Let o be ((-22)\/(-220))\/(3\/6). Which is the nearest to 0? (a) o (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2752*i - 24725. Calculate q(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4, n - i + 1 = 16. Let f = -25 - -33. Suppose -5*z + 13 = 4*t + 5, z + 4*t + f = 0. Calculate the remainder when n is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40970 or -260?\nAnswer: -40970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k)*(5 - 12 + 134).\nAnswer: 127*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d - 20. Let i be t(-7). Let s = i + 101\/5. Which is the nearest to 1? (a) 3\/2 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/23? (a) 4 (b) -4 (c) -2\/7 (d) 64\/3 (e) 0.3 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21305937 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8)*(-16)\/3. Find the second derivative of -r + 0*r - c*r**2 - 2*r wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22747 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at least as big as -196930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -223*o**3 + o + 2*o - 16 + 226*o**3 + 2*o**2 to the form y*o**2 + l + b*o + v*o**3 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.132 and 0.5?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2333 and 0.4.\nAnswer: -2332.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, w: 2, t: 1, c: 1, p: 2}. Give prob of picking 1 p and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 0.4 (b) -129\/7 (c) -0.2 (d) 3\/7 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -686, -1695, -3394, -6131, -10254?\n\"Answer: -58*r**3 + 3*r**2 - 612*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 60 = -i. Suppose -2*r + 7*q + 118 = 5*q, 3*q + 240 = 4*r. Let v = i + r. Solve v*g - 6 - 5 = 2*n, -4*g + 2*n + 16 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10673683 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 - 6. Let h be c(-6). Let l(n) = n**2 + 3*n - 6. What are the prime factors of l(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 + 0.11. Let i be 19 + (-4)\/(-1 - 3). Let c be 3 + (-2 - 15\/i). What is the closest to c in m, 3\/5, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -0.05, -29?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((3 - 5) + 1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i + 43. Let g be j(0). Find the second derivative of g*u**4 - 3*u**3 + 8*u + 1015*u**5 - 1013*u**5 + 1 + 3*u**3 wrt u.\nAnswer: 40*u**3 + 516*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1366244 and 10384?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-532)*14\/20)\/((-73)\/(-1095))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 5*g - 5. Suppose 5*n = 4*j - 12 - 12, n = 0. Let o = 1 - j. Calculate the least common multiple of z(o) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -28, -2\/3, -0.4, -0.16, 9?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 + 11\/(-12))*214 and -99\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -9.95. Let f = 10 - v. What is the nearest to f in -1\/8, -4, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 15 + 2 + -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -47. Let l(b) = 7*b**3 - 10*b**w - b**2 + 3*b**2 - 2*b + 6*b**3. Give l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 + 2 - (-3 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 27. Is 17 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 419967227*h**2 + 835623186 wrt h.\nAnswer: 839934454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4054 + -4051. Which is the third biggest value? (a) 11 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(1 - 0)*(-1 - 9). Suppose 2 = 3*g - 2*g, 4*h + 4*g = u. Suppose h*m = -9*m + 3*m. Solve m*d = -d - 5*v + 21, 0 = 5*d - 3*v + 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b. Let v be ((-1)\/(-3))\/((-2)\/(-12)). Suppose b = v*h + 3*h. Which is smaller: 3\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 32. Let x be -24*((-1)\/(-1) - 2). Let i = o + x. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 25*n - 3. Let l(b) = -2*b**2. What is v(l(u))?\nAnswer: -4*u**4 + 50*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3\/5 - 3*a**2 + 18*a\/5 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 3*n**2 + 2*n - 4. Let y(u) = u**3 + 4*u**2 + 3*u - 5. Suppose -12*j + 9 = 57. Let a = 19 - 14. What is a*g(w) + j*y(w)?\nAnswer: w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w**3 + 8725*w - 3*w**2 - 24137514 + 24137514 + 10*w**5 wrt w?\nAnswer: 200*w**3 - 78*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1281637.07 to the nearest ten thousand.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d - 86704 + 86223 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 69*r**2 + 257*r + 197. Let j be u(65). Find f such that 2\/5*f**3 + 0*f + 6*f**j + 0 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 9*y + 10. Let o be q(8). Suppose 2 = -o*s + 8. What is the second derivative of d - 2*d**s + 0*d + d**3 + 2*d**3 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 - 2385*n**3 + 9600*n**2 - 9620*n = 0. Calculate n.\nAnswer: -481, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.5, 21, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31419*h**2\/2 - 377027*h\/3 + 8\/3.\nAnswer: -(h + 8)*(94257*h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 512 + 35?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692 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: List the prime factors of 1503862.\nAnswer: 2, 283, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12812\/61 - 210. Let f = d + 234\/305. Suppose -4*w = a - 22, 129 = -w - 3*a + 140. What is the second smallest value in f, -3\/5, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h**3 - 87*h**3 + 8*h**3 - 40*h**3 - 3 - 12*h**3 to the form s*h**3 + v*h**2 + a*h + p and give s.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.0578\nAnswer: 0.0289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/(-156)*(-4)\/(-7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -21*t**2\/2 + 9*t - 6718. Let y(m) = -7*m + 3. Determine -2*f(o) + 7*y(o).\nAnswer: -7*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 52*a**2 + 36*a. Let k be 13\/(-15) + (-124)\/930. Calculate the lowest common multiple of b(k) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + (12 - (-19 + 32))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -2*q + 104. Let s = -74 + q. Calculate the lowest common multiple of s and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -29*a + 99. Is 20 a factor of s(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102294493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 16. Suppose 591*o - 606*o + 214 = 49. What is u(o)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 499302*i**3*w + 13520*i**2*w + 5*i**2 - 2*i wrt i.\nAnswer: 2995812*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -47374871280.8.\nAnswer: -47374871285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934 + 164.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3337482.92 to the nearest 1000.\nAnswer: -3337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + -7) - (3 - (-5 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = -1. Suppose -2*c + 31 = -w. Let r(q) = 2*q**2 - 10*q + 13. Calculate the remainder when r(8) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-56) + 31\/(-14). Let z be -2*1 - (-12)\/4. Sort z, a, 1\/3 in ascending order.\nAnswer: a, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42669?\nAnswer: 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701.7125 nanograms to tonnes.\nAnswer: 0.0000000000007017125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 e, and 1 z when four letters picked without replacement from nffnnenz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1221855 - 1221865.09959. Let g = d - -10.1. What is g rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b - b**2)*((120*b**2 - 169*b**2 + 556*b**2)*(-2 + 2*b + 2) - 2*b**3 - 2 + 2) - b**5 + 1 + 1 - 2*b**4 - 1.\nAnswer: -1013*b**5 - 2*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q - 46. Let m be ((-3)\/(-9))\/((-6)\/36). Let f be b(m). Solve f*n = 5*n - 2*t, 21 = 3*n + 5*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 2. Let r be o(5). Suppose -r*b + 4 = b. Calculate the greatest common divisor of b and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23822 + 36343. Does 125 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4669332310 and 0.5.\nAnswer: 4669332310.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1100000 (base 3) to base 16\nAnswer: -3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d + 59*d - 3*q + 24 = 0, d + 5*q - 12 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 3. Let y be x(10). Factor y - 3*k - 2*k**2 + 4*k - 25 + 11*k.\nAnswer: -2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 7. Let y be d(4). Let n = 46 - 40. Let x be y + n*(-6)\/(-2). Solve -4*m + 6 = -0*o - 2*o, -3*o = x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 369014 and 4.\nAnswer: 738028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-301)\/11739)\/(2\/4)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76\/483 - 1\/69. Let a(c) = 3*c**2 - 5*c + 5. Let m(b) = b**2 - 2*b + 2. Let j(y) = 2*a(y) - 5*m(y). Let r be j(0). Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55269420 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 3\/2*l**2 + 0 + 1\/6*l**3 + 1\/6*l**4 + 2*l. Is 23 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 15 = 3*g, -4*g - 5*n - 356 + 345 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 42 - 8 - 3 + 12*t + 7*t**2 - 14. Is g(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43.206 - 43.6. Let g = 0.294 + a. What is the closest to g in -1, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, -0.3, 0.5, 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15878*h**4 - 122*h**3*v - 16*h**2*v - 107*h**2 - 2*h*v + 6*v - 1 wrt h.\nAnswer: -381072*h - 732*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167068, 167065, 167060, 167053, 167044, 167033?\n\"Answer: -q**2 + 167069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 5 - 44*q**2 - 5 - 15*q**2 to o + w*q**2 + j*q and give w.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11293858 - 11293859.5400278. Let n = 1.54 + z. Round n to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(2*y**4 + y**4 - y**4) + (119 - 75 + 33)*(-7*y**4 + 4*y**4 - 3*y**4).\nAnswer: -466*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456682274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17024953 by -11.\nAnswer: 1547723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 36 = -36. Suppose h*y = 8*y. Solve g + y*g = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -152, -207, -260, -311, -360?\n\"Answer: y**2 - 60*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 2*k**2 + 5*k - 2. Let l be 675\/7 + (-15)\/35. Suppose 12 - l = -7*w. Calculate the least common multiple of w and i(3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342639826?\nAnswer: 2, 269, 636877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 12555\/11066 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 42. Calculate the remainder when 46 is divided by i(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 45555359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 265504318?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 30 (b) -1 (c) 1490\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(7\/2))*q**(-7))\/(q**(-1\/10)\/q**(-7)) assuming q is positive.\nAnswer: q**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:35 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5436 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 9*p**2 - 2. Let t(o) = 37*o + 1. Let i(u) = 5*g(u) - 3*t(u). Let a be i(-8). What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -1)\/(6\/(-24)). Suppose 0 = -5*h + k + 7. Suppose 2*z + h*z = -25. Let j(s) = -s**2 - 4*s + 4. Calculate j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-24) - (-3)\/((-60)\/106). Which is smaller: 1\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 22662 and 22664 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and -3536607.\nAnswer: 159147315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806*h**2 + 554*h**2 - 946*h**2.\nAnswer: -1198*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 48. Let s(k) = -4*k + 2*k**2 + p - k**2 - 7 + 7. Let v be s(3). Solve -3*n = 5*w - 4, 0*n - n = -v*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/9 + 66340*p**2\/9 + 15572696*p\/9 + 305715344\/3 = 0.\nAnswer: -32934, -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-35)*(-117185)\/(-4076).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -39*l**3 + 9*l**2 - 8*l - 16. Is 18 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 4*w - 2. Let l be v(4). Let z = -5 - -34. Let t = z + -25. Solve 0 = t*g + l - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l**(-24)*(l**8)**(-4))**(2\/11) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 506 - 521. What is the closest to -0.5 in m, 3, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/60 + h**4\/24 + 5*h**3\/6 - h**2. Let q(v) = 2. Give -2*k(b) + 5*q(b).\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2. Let w be (-8 + 5 + 9)*1. Let y(t) = -3*t + 2. Let p(h) = h - 1. Let c(r) = w*p(r) + 3*y(r). Give c(v(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - -1)*10\/(-15). Let k = z - -12. Solve 2*r = -3*r + 3*f - 22, k*f = 2*r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-678)\/63393*1*-22?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(6)\/sqrt(3))*2 + ((-2*sqrt(12))\/sqrt(6))**2)*-6 - (5 + 4 + sqrt(600)\/(sqrt(12)*2)).\nAnswer: -57 - 53*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000)*2)\/(sqrt(6)*1*-4))**2 + sqrt(320)*2 + (1*(sqrt(20) + sqrt(5)) - sqrt(5)).\nAnswer: 18*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 473\/6, -1\/2, 0.74, 0.5, -0.043?\nAnswer: 473\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2\/2 + 338. Let u(v) be the first derivative of -v**2\/2 + 1. Let g be (-3 + (-4)\/(-2))*-4. Calculate g*b(x) - 5*u(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucup when four letters picked without replacement from {u: 11, p: 5, c: 1}?\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 2. Let r(a) = -7*a - 42. Give -r(f) + 4*t(f).\nAnswer: -f + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -23*j**3 - 11*j**2 - 10*j - 6. Let b(v) = 50*v**3 + 23*v**2 + 21*v + 11. Let k(y) = 6*b(y) + 13*n(y). Give k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47954718*i**4 + 2*i + 13720190?\nAnswer: 191818872*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 549*q - 220698. Calculate p(402).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(3 + 36\/(-8)). Let o(h) = h. Let u be o(4). Find the first derivative of 7 - 2 + x + 7*y**u wrt y.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3253.9, -3\/4, 2, -556?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-83)\/(-3) - (-2)\/(-3). Suppose -129 - 89 = 109*q. Is 14 a factor of (d\/q)\/(3\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 1 m when three letters picked without replacement from {q: 2, m: 1, w: 1, h: 4, p: 3, t: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-3 + 3)\/1. Is (12\/8 - a)*458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 10*d**2 + 31*d - 10. What is the units digit of h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 10*c - 3*c. Let p(d) = -130*d + 305. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31481688 by -10493896.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 1. Let n be y(-2). Suppose -p + 16 + n = 0. Calculate the remainder when p is divided by ((-150)\/(-20))\/((-1)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (-13 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1575 and 91175?\nAnswer: 820575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + 22 + (95 + -72 - 13))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*z + 421*z - 248*z.\nAnswer: 589*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 976899 divided by 83.\nAnswer: 976899\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. Let l be ((-16)\/10)\/(p\/(-10)). Suppose 0 = l*o + 20 - 0. Put 3, 5, o in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2149509808404.\nAnswer: -2149509808408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -j + 4*j. Suppose -2*v = 8, w = 5*v - 3*v + j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067036629 rounded to 7 dps?\nAnswer: -0.0006704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. Let z be ((-20)\/(-3))\/2*i. Let p = 1 - z. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 749474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)*1 + (-171)\/133.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -13. Suppose -20 = 4*x - y. Let m = 17 + x. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21416721 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -13*h + 10*h. Suppose h*d - 107 = 7. Calculate the remainder when 111 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4087, -8171, -12269, -16387, -20531, -24707, -28921, -33179?\n\"Answer: -q**3 - q**2 - 4074*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89\/30 - 167\/6. Which is bigger: h or -31?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -4)\/((-2)\/12). Let l be (r - 7) + 1 + -1. Let x be l\/(-12) + (-10)\/(-15). Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 5.4. Sort -3, s, -26 in descending order.\nAnswer: -3, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*1)\/sqrt(2))\/(3*sqrt(275) + sqrt(275) - sqrt(275)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8018 or -8014?\nAnswer: -8014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/6 + 6\/(-4). Let u = j - -35. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 5*f + 4. Let d be h(-4). Suppose d = -2*s + 7 + 35. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*t + 167 + 2329, -j - 5*t - 516 = 0. Is -501 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 675, 1498, 2651?\nAnswer: 4134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 2 = -10*p, -3*t + 16 = p. Suppose -5*h = 3*a - 11, t - 28 = 2*a - 4*h. What is the units digit of 5\/(1*(-1)\/(-4)) - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1415*c + 38723 + 16462 = 0 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 391651 and 1504?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6002458.0157 - -6002170. Let r = y + 288. What is r rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 292 = 4*r + 2*t, 0 = 3*r - t - 185. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:36 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*f - 28*f - t - 13 - 1, -3*t - 51 - 9 = -9*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464377726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166\/15 - 2732\/255. Factor -2\/17*s**3 + 6\/17 - j*s**2 + 2\/17*s.\nAnswer: -2*(s - 1)*(s + 1)*(s + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*j = -14, 4*j - 2*j - 5 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 7:41 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t - 5. Let l be h(-8). Is -7 + l - 4*1 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7363488 and 8360.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -20.7, 0, -6, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.3, 0, -5, -6, -20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/2731? (a) -5 (b) -1\/3 (c) -3\/7 (d) 2 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*(121\/11 - 10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = 363 - 327 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*h, -413*y = -408*y + 3*h - 32. Solve 4 - 12 = -u - 4*w, -2*w = -4*u - y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24486 and -6.\nAnswer: 146916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263021715?\nAnswer: 5, 17, 14859079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 14*z - 268. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 7*a**4\/12 - 7*a**3\/6 - 7*a + 6. Let u(l) be the first derivative of i(l). What is the second derivative of u(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((4 - 0)\/((-6)\/63))\/((-1569)\/733246)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 22409*r - 89638. Determine o(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -200112211002 (base 3) to base 16\nAnswer: -59228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6449\/282 - -14\/47. Find the common denominator of i and -53\/1012.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:36 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 643, 846, 1049, 1252?\n\"Answer: 203*r + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 - 767 + 1906931*s**2 - 1906922*s**2 - s to the form a + x*s + d*s**2 and give a.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-20) - (-12)\/(-15). Suppose 3*a + 0*a - 39 = f. Suppose 17*b - 424 = a*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -60.50673\nAnswer: 302.53365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3417274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 12 = -5*s, 0 = s + 4*m + 12. Suppose -2*n - 4*a + 139 = -a, -2*a + 2 = s. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -235, 0.0192, 3\/8, -1?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*g - 113409, -5*y + 3*g = -11038 - 102378. List the prime factors of y.\nAnswer: 22679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 2\/3*q**3 - 16*q + 0 - 1\/3*q**4 + 1\/60*q**5 + 3*q**2. Determine j(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -0.03801?\nAnswer: 0.33801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-2*sqrt(160)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 218287 = 191177. What are the prime factors of p?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(2057) + 1) + (sqrt(2057) - (sqrt(2057) + 2 + -1 + sqrt(2057) + sqrt(2057))) + sqrt(425)*1 + -4 + -4)**2.\nAnswer: -270*sqrt(17) + 12418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -162409.\nAnswer: -48722.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d**3 + 0*d**3 - d**3)*(-50*d - 543 + 1080 - 536) in the form s*d**3 + q*d**4 + b*d + y*d**2 + a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:08 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (545*b - 1075*b + 390*b)*(5*b - b - 5*b).\nAnswer: 140*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963465 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 4901, 18231, 44197, 87011, 150885, 240031, 358661?\n\"Answer: 702*u**3 - 8*u - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -113, -90, -27, 94, 291?\n\"Answer: 3*t**3 + 2*t**2 - 4*t - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p. Suppose 2*w = -2*w + 4. Sort p, 5, w in descending order.\nAnswer: 5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvpq when four letters picked without replacement from hvtqhhpqqxhpvhhvpv.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16*5*52\/(-585)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*r - 48*r + 4. Suppose r*k - 30 = -l, 2*l + 17 + 0 = 3*k. Let i(p) = k*p**2 - 4*p**2 - 5*p**2 + 5*p**2. Let q(t) = -7*t**2. Give q(i(u)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + j + 15*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + -6 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l + 146531 = -118*l. Which is the second smallest value? (a) -0.3 (b) -1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1799, 2807, 3833, 4883, 5963?\nAnswer: 7079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -92. Let k = 85 - s. Let q = k - 4. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 12. Let l = -12 + b. What is the second derivative of 8*c + l*c - 5*c**2 - c**2 - 8*c wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 23*k. Let c be h(1). Solve 0 = -4*j + 6*n - 3*n + c, -4*j + 4*n + 24 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 13*d + 10. Let x(f) = f**3 - 12*f**2 + 21*f + 5. Let q be x(10). Let l be p(q). Calculate the greatest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2610032 and -103\/6.\nAnswer: 7830096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(1331) - sqrt(1331))*3*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20734781?\nAnswer: 17, 107, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0185 and 0.3.\nAnswer: -0.00555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.4, 0.09, 1, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 5:53 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 867, 1738, 2615, 3498?\n\"Answer: 3*t**2 + 862*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -560.448 + 940.53. Let t = 380 - o. Round t to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 4*s + 4. Suppose -2*t - 12 = -4. Let x(b) = b**2 + 7*b - 7. What is t*x(p) - 7*f(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + -4*sqrt(2) + 1)*4)**2.\nAnswer: -128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + 1 + sqrt(5) + -4 + sqrt(80) + 5.\nAnswer: 2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-22)\/(-6) - (-187)\/3. Is 6\/(-21) + (-3)\/(m\/(-741)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 16}. What is prob of picking 3 n?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.7 and 0.3?\nAnswer: 5.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 133 = -30*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 - 9 = 0, 3*z - 4*y = 16487. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k - 1. Let a(x) = -x. Suppose -4002 = 43*j - 3830. Calculate j*a(z) - n(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 - f**4 + 3*f**4 + (-2*f**3 - f + f)*(4*f + 2*f - 5*f) + f**4 - 2*f**2 + 2*f**2 + 7*f**4 + 4*f**4 + 2*f**4.\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 bigger than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*k + 135 = 199*k. Suppose 0 = 10*b - k*b - 3*x + 28733, 22988 = 4*b + 2*x. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d**2 - 445*d + 438. Let j(z) = -29*z**2 - 1779*z + 1753. Let l(g) = 11*b(g) - 3*j(g). Factor l(w).\nAnswer: -(w - 441)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163404060 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-17)\/a)))**(-1\/48))**(-36) assuming a is positive.\nAnswer: a**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70698018.\nAnswer: 2, 3, 73, 161411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 58428149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1 - u**3 + 3*u - 3*u. Let l be v(1). Let c(z) = 6*z**2 + 2*z + 1. Let d be c(l). Sort -4, -5, d.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299 + 1235 - 173)*(-l + 0*l + 0*l).\nAnswer: -763*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**6\/120 - j**4\/8 + j**3\/6 + j**2 + 2*j. Let y(v) be the first derivative of b(v). What is the units digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 22*u + 3. Let y be i(-22). Suppose -4*c + 209 = y*f, -3*f + 3*c - 6 + 243 = 0. Calculate the greatest common divisor of f and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 300*m - 4. Let b(x) = 17*x**2. What is b(n(f))?\nAnswer: 1530000*f**2 - 40800*f + 272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -636 + 4?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*w + 124*w**3 + 58*w**3 + 323*w + 197*w.\nAnswer: 182*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x - 0*x. Solve 9 = 3*o + 2*j, -8 = -x*o + o + j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 17 + (0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 - -102. Let d = i + 53. Let c = -131\/260 + 7\/20. What is the second smallest value in d, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2352 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -32.\nAnswer: 29\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a + 25, -5*k = -2*a - 16110. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*i + 11, 2*h + 4 = 4*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 1580*q**2 + 0*q - 3154*q**2 + 1571*q**2 + 922 as h*q + y + v*q**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1608, -1607, -1606, -1605, -1604, -1603?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(2\/9)*x)*x*x)**(2\/51)*x*x**(2\/5)*x**(-4\/11)*(x**(-2\/7))**(-4\/5)\/((x*x**(-4))\/(x**(-8)*x)) assuming x is positive.\nAnswer: x**(-471007\/176715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.67 - 63.57. Let j = 59 + k. Which is bigger: 23\/2 or j?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056571 and -567.\nAnswer: 32.075757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3794 and 22010891.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44b + 2?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*d + 4*d - 145, 490 = -3*k - 5*d. Let v = k - -158. Solve -o = 2*o + v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286 + -550 + 266 - ((-1)\/(-1) - (-1 + 43))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 385 - 383. Solve 23 = -5*q + c - 5*c, -o*c - 10 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 7. Let w(s) = -s + 8. Give -5*h(m) - 6*w(m).\nAnswer: m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125999\/112 - -1125. Let m = -2125\/336 - z. Sort 0, m, 4 in ascending order.\nAnswer: m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 0.172, 69, -0.3, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72*d**2*o**2 - 84835*d**2*o + d**2 - 5*d*o**2 + 875467*d*o - o wrt d?\nAnswer: -144*o**2 - 169670*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -38. Which is the nearest to -2\/7? (a) 4\/7 (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210840.\nAnswer: 2, 5, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/156)\/(-4 - 15\/(-4)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:46 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.79267ml in litres?\nAnswer: 0.04279267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24629112?\nAnswer: 2, 3, 342071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-1)\/6)\/(((-35)\/20)\/7)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*k**4 + 6*k**2 - 9638.\nAnswer: -80*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 3. Let q be z(5). Suppose u - 195 = -q*u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85271533?\nAnswer: 3911, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-35))\/(-8 + 132\/14)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -76. Let j be ((-15)\/(-90))\/((-2)\/(-57))*b. Suppose 17*m - j*m + 2 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3. Let r = 3 - 0. Let m(q) = -q - 8. Give r*m(n) - 8*o(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*-170100.9\nAnswer: 340201.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/4709700 and -17\/450.\nAnswer: 4709700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-2 - -8 - 12) + 5 + 10) - 29?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*t + 36 = 0, -2*m = m - t - 19. Let z = -1.69 + 10.69. What is the closest to z in m, 1\/5, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = 0, u + 16 = -5*w + 44. Let q = 278 + -567. Let t = q + 293. Solve -w*i + 31 = 2*r, -8*i - t*r = -3*i - 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -330162824.01 and 1.323.\nAnswer: -330162822.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let i(v) = -v**2 + 2*v - 2. Let c(a) = 69*a**2 - 184*a + 184. Let x(z) = c(z) + 92*i(z). Determine w(x(m)).\nAnswer: -529*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2)*(a*a\/a**(-2\/11)*a*a*a)\/a)\/(a*a\/a**(-2\/7))**(2\/127) assuming a is positive.\nAnswer: a**(32189\/19558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3606*j - 79. Let d(a) = 16*a + 170. Let w be d(-11). Is r(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:51 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**4 - 217*b**3 - 3*b - 828. Let t(x) = -x**4 + 435*x**3 + 5*x + 1662. Let k(w) = 5*c(w) + 3*t(w). Differentiate k(a) with respect to a.\nAnswer: 8*a**3 + 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.64 - 14. Let h = c + -5.04. What is h rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjqyqqyqjjyqqqyy. What is prob of sequence qyj?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d - 276. What is x(-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -2*m**6\/15 - 7*m**5\/5 + 4*m**4 + 56*m**3\/3 - 64*m**2 - 3*m - 24. Let v(x) = 0. What is x?\nAnswer: -8, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/7))\/(y*y\/(y**(-6)\/y)) assuming y is positive.\nAnswer: y**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 363*l**2*r*s**2 - 268*l**2*s**3 + 11518*l*r*s - 2*l*s**3 + 5*r*s**3 wrt l?\nAnswer: 726*r*s**2 - 536*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 2 - 2)*(2*k + 1 - 1) + 45*k**2 - 2*k + 4*k - 44*k**2)*(1 - 7 + 4).\nAnswer: -10*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 2. Let w be h(11). Let q be w\/(-14) - (-3)\/2. Let n(i) = -2*i. List the prime factors of n(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/4)\/(15\/210))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 33798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 3. Let j be (-2)\/(-1 + (-5)\/(-10)). Suppose -4*k + 4*r + 53 = 17, -j*r = 5*k. Give c(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 16141*z - 32280. What is n(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8888.993 years?\nAnswer: 106667.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29183376 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4213?\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 139*s**6\/30 + s**5\/4 + 49*s**4\/6 - s**3\/6 - 1163*s. Find the third derivative of h(p) wrt p.\nAnswer: 3336*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -7\/3*r**3 + 5*r**2 - 1 - 8*r - 35\/4*r**4. Let o be w(9). Round o to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvhvhvgvghmvv. What is prob of picking 1 g and 3 h?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7635375.\nAnswer: 3, 5, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1735 or -365\/6?\nAnswer: -1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4, -4*q = -5*n + 108 - 141. Let a(x) = 3*x - 10. Calculate the least common multiple of q and a(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -110.\nAnswer: 29\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 2750543?\nAnswer: 2750543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + l + 79*l**4 + l)*(9*l - 6 + 6) - 5*l**5 - 8*l**5 - 18*l**5.\nAnswer: 644*l**5 + 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.096510249?\nAnswer: -0.0096510249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3\/7 - 1104*f**2\/7 - 1098*f\/7.\nAnswer: -6*f*(f + 1)*(f + 183)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y + 21*y + 2*y - 5*y + 17 - 17 - 2*y + 0*y + y - y + 5 - 5 - 3 + 2*y + 3 + (y - 1 + 1)*(3 - 3 + 2) + 0*y - 3*y + 4*y - y - 5*y + 5*y.\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 16. Let a be h(5). Put 5, a, -2 in descending order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 25. Let v be (16\/k)\/(24\/20). What is the nearest to 0.2 in v, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z + 7. Let r be 22\/(-5) - (-3 - 72\/(-20)). Determine n(r).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1 = -9. Find the third derivative of 5*q**5 - 4*q**2 + 0*q**d + q**2 + 0*q**2 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i**2 - 661*i + 620. Calculate n(-56).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.9046*1.24\nAnswer: -2.361704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15 - -18 - 8)\/(-5))\/((-2)\/(-32)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1588, -3176, -4764, -6352?\n\"Answer: -1588*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 171*596908\nAnswer: 102071268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*t = 18 - 4, -2*t = -4*i + 12. Suppose d - i*d = -21. Solve 0*r - d = -4*r + h, 15 = 3*r - 4*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451 = -8*u - 403 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3 + sqrt(68) + sqrt(68)*-2 + sqrt(68))**2 - (sqrt(68) + 2)*5)*6 + -1.\nAnswer: 5 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 691*i - 1. Let w(s) = -163*s**2 + 84. Give x(w(f)).\nAnswer: -112633*f**2 + 58043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 9*i**2 + 10*i - 14. Calculate d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 12546 + 12546 - o + 14*o.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/2)\/(5\/(-30)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*s - 4*c - c, -c + 25 = 4*s. Suppose 3 - s = 2*z. What is the units digit of 4 - ((-3)\/(-3) + z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4028628, 8057173, 12085718, 16114263?\n\"Answer: 4028545*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 2:18 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 + 3*l + 3. Let a be n(6). Suppose -78 = -9*p + a. List the prime factors of p.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 4*y - 4*y - 5.\nAnswer: -8*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -9657*n**3\/4 - 14487*n**2 - 48321*n\/4 - 15\/2 = 0. What is n?\nAnswer: -5, -1, -2\/3219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1613*x + x**3 + 1 + x**2 - 1613*x. Let n(f) = 3*f**3 + 4*f**2 + 12. Calculate -4*g(l) + n(l).\nAnswer: -l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 297 - 297. Suppose m = 97*f - 104*f + 147. Solve n - 8*n = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -71. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00183112567 rounded to six dps?\nAnswer: -0.001831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 65 - 20. Let k(c) be the first derivative of c**3\/3 + 7*c**2\/2 - 7*c + 7023. What is k(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*p + 87, 5*p - 4*p - 25 = -o. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1128? (a) 0 (b) -0.3 (c) 1\/2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1648 (b) 2\/3 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u + 16. Let j(m) = 13*m - 19. Let v(w) = 7*g(w) + 6*j(w). Suppose 11 = -r + 17. Give v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5674609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 13*i**2 - 15*i + 18. Suppose -46 = -4*m + 10. Let y be o(m). Differentiate -13 + 5*k**2 + k**2 + 17*k**y - 6*k**2 with respect to k.\nAnswer: 68*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - -3) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19298.18 hours in milliseconds?\nAnswer: 69473448000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 2*j - 1078. Let h = 79 + j. Suppose d + 0*d + 377 = h*m, -935 = -5*m - 5*d. List the prime factors of m.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/12 + 19*z**2. Let v(p) = -46*p**2. Determine u(v(j)).\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 19. Let d be q(19). Do d and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + z + z)*(-28*z - 46*z - 75*z + 0 + 0 + 3*z + (2*z - 2 + 2)*(-1 + 0 + 0)) in the form n*z**2 + g + k*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72597721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-7 + (-3 + 28 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1949810, 3899655, 5849500?\n\"Answer: 1949845*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51192 and 334.\nAnswer: 8549064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Let j be t\/10*(16 - -4). Let i = 40 - 24. Calculate the greatest common divisor of i and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3 - 6*y**2 + 4*y**2 + 3*y**2 + 0 - 2*y. Let l be x(4). Solve 4*b - 5 = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k. Let a(t) = -t**2 + 7*t - 2. What is the smallest common multiple of a(6) and u(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b + 2. Let x be h(-1). Suppose -10 = -z + x. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/30 - 14\/15. Which is the fourth biggest value? (a) 3 (b) 0 (c) u (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + a**5 + 0*a**5 + 21*a**5 + 10*a**5 + (5 + 0 + 0)*(0*a**5 + a**5 - 3*a**5).\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23016 is divided by 549?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/128 and -113\/3348.\nAnswer: 107136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 34 = 3*i - 2*z, 3*i + z = 13. Let d be (-1 - 87\/i)*-2. Let h = 55 - d. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 + 31390*c\/7 - 2442336\/7.\nAnswer: -(c - 31312)*(c - 78)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*b = -2*w + 2, 0 = -4*w + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169123 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1)\/12)\/(24\/(-32)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43216867 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11000 - 0?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2, 97*t - b + 2 = 101*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -10a84?\nAnswer: -10a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*l + 119*l = 524*l - 72*l - 47894 for l.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3769536 and 822.975?\nAnswer: 822.5980464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 237*l**2 - 241*l + 248. What is the units digit of y(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 7 - 1)*(-2*a + 5*a + 2*a) to the form i + l*a and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + 6*l + 12*l + 3 - 8*l**2 to u + z*l**2 + c*l and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3928*n + 4248*n + 4)*(2 + 2 - 1).\nAnswer: 960*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 53 - 21 + 60.\nAnswer: -7*p + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1\/40*k**6 + 0*k**3 - 1\/56*k**7 + 7*k + 0*k**4 + 3\/40*k**5 + 0*k**2 + 0. Factor n(m).\nAnswer: -3*m**3*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1755*q + 1028. What is the units digit of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 0*k - 32*k**2 + 1\/45*k**7 + 2\/9*k**3 + 0 + 3\/10*k**5 - 13\/36*k**4 - 23\/180*k**6. Factor z(w).\nAnswer: 2*(w - 1)**3*(7*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/120*b**6 + 0 + 0*b + 3\/10*b**5 - 2\/3*b**4 - 27*b**2 - 11\/2*b**3. Let a be r(17). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1745 divide 2914064495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -36. Let l(m) = 5*m - 5. Let i be l(10). Calculate the highest common divisor of i and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:14 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1088)*-1.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 - (4 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 2*l + 30 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*i + i - 5, -4*g = 20. Let a(j) = j**2 - 2*j - 6. Let c be a(5). Solve -i*p - 1 = c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = 47*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/15, 2\/5, -4, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1328.74 - -701.46391\nAnswer: -627.27609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2.1\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(171))**2*4*-5 + -5.\nAnswer: -3745 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 13. Suppose b + j*d = 24, 6*b - 76 = b + 2*d. What is the highest common factor of 128 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1386 and 15\/16.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/(1*3\/(-9)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 3*s**2 - 18*s + 8. Determine p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/3*6*132\/1386\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -38. Let u(y) = -y + 5. Let h be u(b). Let a(i) = 2*i - 28. Let d be a(h). Calculate the highest common divisor of d and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 g when four letters picked without replacement from {r: 8, g: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 266375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5034*p**3*u + 2*p**3*y**3 - 55*p**2*u*y**3 + 4*p**2*u*y**2 - u*y**3 + 8*y wrt p.\nAnswer: 30204*u + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15718521 - 7318541. Suppose -h = -4*k + 16799996, -5*h = -k - k + z. Suppose -2*u + k = -u. What is u rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10*(0 - -6). Let a be (0 + 1)*(4 - 0). Solve -r - a = k*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 67*o - 186 - 70, -24 = -3*s + 253*o - 256*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111541508?\nAnswer: 2, 13, 107, 20047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.37 minus -10483994?\nAnswer: 10484372.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575\/2204 + -6\/551. Which is the third biggest value? (a) j (b) 58 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 89. Let u = d - -85. Let f = -1 + 1. What is the closest to u in -0.1, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -68. Suppose 16 = -2*i + 3*h, 0 = 2*i + 2*i + 2*h. Let c be (-5)\/25*i\/1. Sort c, 11, f.\nAnswer: c, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -27.\nAnswer: 51.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1196*g + 179083. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 2 + -4 - 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 13*h**3 - 16*h**3 + (-7*h**2 + 13*h**2 - 14*h**2)*(5*h - 5*h + h)*(0 - 1 - 2)*(2 + 1 + 0).\nAnswer: 65*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9584967*t**5 + 4*t**2 + 890*t - 37 wrt t?\nAnswer: -575098020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*k - 945*k - 14 = 0. Let o(m) = m**3 + m**2 + m + 2. Let p(v) be the third derivative of v**4\/24 + v**3\/6 + 2*v**2. Calculate k*o(s) - 2*p(s).\nAnswer: s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 3. Let u be h(-5). Suppose 3*v = -u*c + 4 - 0, 4*v = -3*c + 4. Suppose 0 = -j + v*j - 12. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 10*r**2 - 45*r + 90.\nAnswer: 5*(r - 3)*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let h(q) = -q. Let v(r) = -4*h(r) - 5*x(r). Let j(k) = -3*k**2 + k + 12*k**2 - k. Determine v(j(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllp when four letters picked without replacement from hphpalphalllhllaapa?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -27*n**3 + 2*n + 2. Let v(a) = 460*a**3 - 35*a - 35. Determine 35*c(o) + 2*v(o).\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 - 221. Suppose g*f - 6 = 50. Solve 13 = f*l + 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2 - 440*l = 0.\nAnswer: 0, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/995 and -6\/2587.\nAnswer: 12935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -0.5432.\nAnswer: -4.5432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in -0.2, 2, -0.19, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 910.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996434 less than -0.1?\nAnswer: -3996434.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/(384\/387 + -1). Let l = -63 + f. Calculate the highest common divisor of l and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -43*o**2 - 4164*o + 25060. Give h(6).\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39814 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/9 + 280*n**2\/9 - 1416*n + 20736 = 0.\nAnswer: 32, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -0.1, 0.5, -3 in ascending order.\nAnswer: -12, -3, -0.1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/12)\/(1\/2). Is -2\/5 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-12) - 27\/(-7). Let f be ((-396)\/32)\/(-3) - 4. Which is the third biggest value? (a) g (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/260 and 19\/325*(-60)\/20.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 6 - 39) + -13 + 66.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 + 187. Let c = -2 + h. Solve -c*y = -4*v - 30, 0 = 5*v - 2*y + 6*y + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/3 - 1096*u**3\/3 + 4396*u**2\/3 - 4400*u\/3 = 0. What is u?\nAnswer: -1100, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 11*k**2 - k**3 + 11*k**2.\nAnswer: -k**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g + 257. Calculate q(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u**2 + 17*u - 27. Let n(t) = 2*t**2 - 6*t + 9. What is -6*f(s) - 17*n(s)?\nAnswer: 2*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*h - 12 = 0, 14*n - 8*n - 3*h - 12 = 0. What is the highest common divisor of n and 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 + 531*k**3 - 30195*k**2 + 480009*k + 4085658 = 0. What is k?\nAnswer: -6, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 83. Calculate the common denominator of (3 + (-23)\/(-6))*(-6)\/k and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 - 1. Suppose -30 = -2*r + 2*d, -30 = -3*r - 2*r - 4*d. Suppose -3*c - 2*c = -r. Is t(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 0, 1, 9 in increasing order.\nAnswer: -50, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 264*q\/7 - 774\/7.\nAnswer: -2*(q + 3)*(q + 129)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 14, 21, 34, 53, 78, 109?\n\"Answer: 3*k**2 - 8*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 122198+-0.02\nAnswer: 122197.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 161790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9303 + 0.0397. Let t = x - -0.03. Let d = t - 2.6. What is d rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214502, -216054, -217606, -219158, -220710, -222262?\nAnswer: -223814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224563737 + 224567535.41149. Let y = s + -3821.4114913. Let m = -23 - y. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -93, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/3, -2, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -213 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21440)\/7035*(18\/(-8))\/3.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(3*m - 3*m + 2*m) + (-2*m - m + m)*(-1 - 3 - 6 + (0 - 1 - 1)*(0 + 4 - 5)).\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t - 428 + 32. Calculate the lowest common multiple of 62 and (55\/t)\/((-10)\/24).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.2 + 10.200578. What is q rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 5*l**2 - l + 7. Let q be y(5). Suppose 2*j = -q*s, 0*s + j - 6 = -3*s. Solve o + 20 = -s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 2\/23, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 1. Let d(i) = i**2 - 24*i + 117. Let r(n) = d(n) - 3*t(n). Let v be r(22). Sort -5\/6, 0, v, -4 in increasing order.\nAnswer: -4, -5\/6, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 31 + (-65 - -47).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -85?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6561 and 8?\nAnswer: 52488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.2. Let b = -2.09 - -0.09. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*z - 5, -3*w = 2*w - z - 20. Let y(o) = -4*o + o**2 - w + o**2 + 4*o**2 - 5*o**2. Calculate y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 10*b**2 - 6*b**2 + 30*b**3 - 4*b**2 wrt b.\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 1. Suppose 0 = 217*o - 195*o - 1807 + 509. Calculate the remainder when o is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22346+86.27201\nAnswer: -22259.72799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27356.7 - -0.1.\nAnswer: -27356.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 9, 14, 23, 36, 53, 74?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20180 - -87017. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -1\/4 (c) 2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlplllzzpzzzzpzp. Give prob of picking 1 l, 2 p, and 1 z.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 48*z**2 + 29*z + 32. What is the units digit of t(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1652.8631 + -1653. Let o = 0.0631 - x. What is the third biggest value in 0.3, 0, o, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1 + (-1 - 2)). Let h = 2105 + -2103. Solve -j*s = -s - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.5, -4, -853?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(468) + 4 + (sqrt(468) - (3*(sqrt(468) + (sqrt(468) - 3*sqrt(468))))**2)*-3.\nAnswer: -36*sqrt(13) + 12637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 608027.2 weeks?\nAnswer: 102148569.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -91, -79, -67?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 37 - 29. Sort 2, z, -21 in descending order.\nAnswer: z, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 597 and -46712.5.\nAnswer: -27887362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -7*p**2\/2 + 41. Let k(i) = -i. Calculate c(k(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371240 is divided by 342644.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**4 + 2*x - x**3 + x**3 + (-4*x**2 + 4*x**2 - 5*x**2)*(4*x**2 + 2*x**2 + 3*x**2) as u*x**4 + z*x + h + d*x**2 + g*x**3 and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 4*b)*(1 + 5 + 1) - 9*b - 40 + 40 + 1 - 1 + 2*b + 2*b + 3 - 3 + (0 - 3 + 1)*(2*b + 3*b - 7*b) - 2*b - b + b - 4 - 2*b + 4 + b + 10 - 10.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3138 + -1888. What is r rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -309 - -162. Let g = m + 150. Solve -g*d + 3*i - 9 = 0, 0 = 8*i - 3*i - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 18. Let d(t) = 15*t + 2*t**2 + 14*t + h*t**2 - 24*t. Let b(g) = 4*g**2 + 2*g. What is -7*b(c) + 3*d(c)?\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from etttsttett.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 9 - 3 + 48 - 36.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1757535?\nAnswer: -1757535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (62 - 33 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.024 in 1\/122, 2, -2?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2\/11, -1\/8.\nAnswer: -1\/8, 2\/11, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r + 1. Let i(w) = w**3 - 32*w**2 + 31*w + 8. Let f be i(31). Suppose f*x = 8 - 0. What is g(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.8. Let n be 112\/(-12) + (-4)\/6. Let g be ((-4)\/(-6))\/(n\/(-6)). What is the closest to g in j, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let n(q) = 10*q**2 - 9*q**2 + 17*q**2. Give n(b(w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/((-13)\/26). Is 2\/57 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8012 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, 0.4, -2 in ascending order.\nAnswer: -2, 0.4, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + p. Let l be o(-1). Suppose -2 - 8 = 2*f. Sort f, -2, l.\nAnswer: f, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggf when three letters picked without replacement from {f: 2, g: 5, z: 1, v: 1}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2548 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i - 4. Suppose -3*l - 2 = -8. Let v be l\/2*(2 + 3). Suppose 5*p - 2*p - 27 = -v*f, 3*p = -3*f + 21. What is q(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/10 + d**3\/2 - 2*d. Find the second derivative of q(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3724060 (base 8) to base 7.\nAnswer: -11502351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1040, -1037, -1034, -1031, -1028?\n\"Answer: 3*g - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*w + 107536 = 0, 5*o + 2*w - 84186 = 50219. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 2116.6?\nAnswer: -2111.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/14 + (-13096)\/56. Let b = 330 + r. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -298.03, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5798668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(32)*-4 - sqrt(32)))*6)**2.\nAnswer: -5760*sqrt(2) + 29376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - 48\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-20))\/(l\/l**30)*(l**5)**25)**(-17) assuming l is positive.\nAnswer: l**(-2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 40817700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/10*1\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.366 (b) 0 (c) -3\/2 (d) 2 (e) 6 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*m = -2456, -2*m - 1651 = 4*w - 6547. Suppose w + 16901 = 4*f. Let t = 7782 - f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 18, o: 1}. What is prob of sequence go?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -76. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.028.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26205 - w + 26228 - 52433.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-0.0611\nAnswer: 0.1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31749, 63506, 95273, 127056, 158861, 190694, 222561?\nAnswer: 254468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10497347, -10497473, -10497599, -10497725?\nAnswer: -10497851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42670 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 258157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3054\/(-15) - (-2)\/(-5). Is ((-8)\/6)\/(8\/s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**2*l*(l*l\/l**(-5)*l*l)\/l*l\/((l*l\/(l\/l**6))\/l)*l*l*l\/(l*l**7)*l assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 309 + -149. Suppose 0 = -2*v + 6*v - k. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 1, n: 1}. What is prob of picking 1 z and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 270\/35 + -4 - (-4)\/14. Suppose -5*q - a = c, -2*a = -2*q - 2*q + 8. Solve y - 2*s - s - 15 = q, 4*y = -s + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let q(m) be the second derivative of -m**3\/6 + 1104*m**2 - 10305*m. What is q(g(l))?\nAnswer: -l + 2208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.8556179 rounded to the nearest integer?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12*1\/2 + 0. Solve 0 = 2*a - 2*g + 4 + u, 0 = -g + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -5\/4 (c) -1\/7 (d) 4\/3 (e) 737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6841, 6834, 6827?\nAnswer: 6820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) -2\/5 (c) 1 (d) -1 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 38 + 5)*(-2 + 7*a - 1 + 1) in the form u*a + b and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -15 (c) -4\/9 (d) 662 (e) -37 (f) 12 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31314 (base 6) to base 9\nAnswer: 5711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 3*w**3 + 31867514758*w**2 - 31867514758*w**2.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109243 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-729)\/2835*-35 - (7 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/12 - (-9)\/2. Suppose -5*w = -b + 4*b - 24, -3 = -5*b + j*w. Suppose b + 277 = 4*z. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -1 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 14046 and 14046 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 341576*r**2\/7 - 2732480*r\/7.\nAnswer: -2*r*(r - 170780)*(r - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyzzzmxvvzzyccyvzmz. What is prob of picking 1 c and 1 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 4965*p**2 + 130770*p - 347760.\nAnswer: 5*(p - 966)*(p - 24)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*o**3 - 771*o**2 - 304*o**3 + 771*o**2.\nAnswer: -367*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 906*o + 45?\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Suppose 20 = d*z - 0*z. What is the derivative of -5*r**4 + 0*r**4 + 0 + 1 + 2*r**z wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 13*d - 1672 = 0. Put 2, 3, d in ascending order.\nAnswer: 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -242 - 24 + 112 - z**2 - 86 + 3*z as s + o*z + l*z**2 and give s.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0 + 4 + 0)*(5*r**2 - 5*r**2 - 2*r**2) + (0 + 0 - 1)*(31*r**3 - 58*r**3 + 13*r**3).\nAnswer: 18*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from xzbkkbxkkbzxbbzx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 3*o + 3*o + (6*o - 3*o - 2*o)*(0*o - 4*o + 6*o) + (6*o + o + 7*o - 4*o + 2*o + o + (-2 - 3 + 3)*(-6*o + 3*o + 4*o))*(-3*o + o + 0*o).\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 52*i - 157*i + 8170. Solve 28*x = i - 66 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 428985332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 473839740 a multiple of 5940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 36*z**3 - 243*z**2 - 204*z.\nAnswer: 3*z*(z - 17)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8851 and -388243.\nAnswer: -388242.1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2\/7 + 17336*u\/7 + 2476 = 0.\nAnswer: -4333, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*c - 330, -p = -3*c - 4*p + 498. Suppose r - c = -5*k - 2*r, 0 = k - 3*r - 19. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1524)\/2286)\/((-2)\/(-24)*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 13 + 1. Let d be (2\/y)\/(3\/(-60)). What is the greatest common factor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1103*l**4\/24 - 25*l**3\/6 + 10*l**2. Let w be k(4). Suppose 8*q - w = 4*q - t, 2*q - 2199 = 5*t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z = 21022 + 32438. What is the remainder when z is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-301 + 10 - 4 - 55)*(3 - 3 - w).\nAnswer: 350*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 59.3.\nAnswer: -296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -3 (c) -5 (d) -28\/557 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3 + 3)*(-85*d + 85*d - 34*d**3) + (0 + 1 - 2)*(-3*d**4 + 3*d**4 + d**4) - 3*d**4 + 4*d**4 - 2*d**4.\nAnswer: -70*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 5. Let l = 0.38 + -0.08. Let j = -2\/21 + -17\/42. What is the nearest to j in l, r, -4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -1 - (2093 + -2092).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, 10, 21?\n\"Answer: 11*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779*g - 2405*g - 3*g**2 - 1757*g + 5 - 17.\nAnswer: -3*g**2 - 3383*g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/3, 2\/7, -1\/7, -1\/17?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or -21\/34267?\nAnswer: -21\/34267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t. Let j(a) = a. Determine z(j(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 25216*w - 145. Let j be z(2). What is j rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttqryjj. What is prob of sequence jq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-20) - 4) + -7*804\/210?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4 + 144*h**3 + 1269*h**2 - 9276*h + 12276 = 0.\nAnswer: -31, -22, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -4020?\nAnswer: -4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (46 + 10 - 74)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 285\/(-55) - 4\/(-22). Let r be ((-4)\/5)\/(31\/d + 6). Suppose 2*u = -5*f + 884, -r*u = -4*f + 471 + 225. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -2. Let r = w + -0.1. Let u(k) = -3*k**2 + k. Let h be u(1). What is the biggest value in -0.5, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*m**5 - 286*m + 74*m**5 + 270*m - 26*m**5 wrt m?\nAnswer: 1300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:07 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**8\/84 + t**5\/60 - 65*t**4\/24 - 34*t**2. Find the second derivative of i(k) wrt k.\nAnswer: 80*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 46*h + 2. What is the hundreds digit of f(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -317, -717, -1261, -1937, -2733, -3637?\nAnswer: -4637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26686 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a - 5. Let x be (-4)\/6*6*-1. Let l be u(x). Find the second derivative of -3*f**3 - f + l*f**3 + 3*f**3 wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 18*i**2 + 19*i - 1. Let q be n(-19). Let t(p) = 1. Let z(u) = 5*u - 4. Let d(m) = -5*t(m) - z(m). Calculate d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791 = -2*q + 1049. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 h, and 1 n when four letters picked without replacement from {n: 2, r: 1, h: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h + 5*h + 10*h - 14*h. Let t(l) be the first derivative of 4*l**2 - 165. What is t(v(c))?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 319134300 to the nearest one million.\nAnswer: 319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q**2 + 21*q + 22. Determine x(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 + 14024*m\/3 - 28040.\nAnswer: -2*(m - 21030)*(m - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200, 97, -458 in descending order.\nAnswer: 97, -200, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-440)\/(-420)*(-168)\/77)\/(1\/(-14)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -198, -186, -174, -162, -150?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(208))**2 - (sqrt(117) + -4)**2)*1 + (sqrt(1573) + sqrt(1573) + sqrt(1573)*2 + 4 - sqrt(1573)) + 3.\nAnswer: 82 + 57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-8 - -3 - 2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 6, -91 = 5*d - 28*a + 29*a - 238 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 207*k**2 - 2.\nAnswer: 207*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1727 - 2887129*w + 2887131*w + 686 - 2*w**2)*(0 - 2 + 1) as b + p*w**2 + m*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 33. Suppose -2*k + 3*h + 1338 = 0, -w*k - 5*h = -0*k - 3295. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 524 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/10900 and -123\/14170?\nAnswer: 141700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -232140103 (base 5) to base 16\nAnswer: -100f70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -44. Let s = -1155 - -1149. Let j(m) = m**3 + 8*m**2 + m + 57. Calculate the remainder when j(s) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 12 - 1)*(-n**2 - n**4 + n**2 + 146*n**4 - 6*n**2 + 144*n**4 - 296*n**4 + (0 + 0 - n**3)*(3*n + 2*n - 3*n)).\nAnswer: -108*n**4 - 72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -2*q - 2*r, 0 = -4*q - 5*r + 24. Suppose q*m + 17 = 35. Suppose -d = 4*d - 15. What is the remainder when d is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 46. Let l be d(17). Find the third derivative of -691*j**2 - 4*j**3 - l*j**3 + 683*j**2 - 2*j**5 wrt j.\nAnswer: -120*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 4 + 40 + -22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 14 = 4*b, -b - 12 + 20 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -1 (b) 11 (c) -2\/7 (d) 4\/3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -87, -273, -627, -1203, -2055?\n\"Answer: -9*s**3 - 3*s**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 115 = -210 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-324)\/135.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, b: 2, y: 4, t: 2}. Give prob of picking 1 s and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248644.3 - -248646.899982. Let n = g + -2.6. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41653775?\nAnswer: 5, 1666151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2406.22372 rounded to the nearest integer?\nAnswer: -2406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s*s\/(s\/(s\/s**11))))\/s*s*s*s*s**(-15)*s\/((s**5\/s)\/s*s)*s*s**(1\/20))**(-3) assuming s is positive.\nAnswer: s**(237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 7. Let s be o(3). Let i(f) be the third derivative of -2*f**4 - 7*f**3\/6 + 79*f**2. Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -612*o - 12*o**2 + 612*o - 3*o**2 + 2*o**2 + 0*o**2 + (-1 + 2*o + 1)*(-o + 3*o + 0*o) - 4*o - o**2 + 4*o + 2*o**2 - o**2 + o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5\/3. Let m = -8177\/5 - -1635. Let v = -13.6 + 1.6. What is the biggest value in m, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 643?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2673828 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 - 6 - 4*x + 2 + 0 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 minus 23?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -14 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 13*r - 12. Let v be x(12). What is the smallest value in v, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93961 + 90826 = -209*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 + 4 - 4)*(0 + 0 + 1) - 4*h**2 + 3*h - 3*h + 0*h**2 - 5*h**2 - 4*h**2 to y + j*h**2 + m*h and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6546 + 7044. What is the remainder when j is divided by 299?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 8*s**2 + 6*s + 7. Let v be j(-7). Let x = 38 - v. Calculate the common denominator of 70\/3 and 590\/x - 1\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 4773?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.47 - 1.53. Let w = 2093 - 6281\/3. What is the closest to w in 0.02, -2\/17, r, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -20201131112012?\nAnswer: -20201131112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7*w = -534. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - h. Let l(w) = 15*w**2 + 13*w. Let a(f) = l(f) - 4*n(f). What is the second derivative of a(c) wrt c?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*d**3*r*x + 11*d*r*x**2 + 12*r*x + 19*x**2 wrt d?\nAnswer: 210*d**2*r*x + 11*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -694215 less than -249313?\nAnswer: 444902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -73*i**5\/12 + 9*i**4\/2 + 17*i**2. Find the second derivative of t(s) wrt s.\nAnswer: -730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + q - 8, 0 = -3*q + 15. Let p be 26\/(-39) + (-8)\/(-3). Suppose 3*k = -5*d - 11, 4*k + p*d = 5*d + 24. Solve k*i = -13 + z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2522932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + l**2 - 17*l + 10. Let w(i) = -2*i**3 - i**2 - 18*i + 11. Determine 6*v(o) - 5*w(o).\nAnswer: -2*o**3 + 11*o**2 - 12*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:49 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 26*t + 3. Suppose -2*c = -0 - 6. What is the remainder when u(c) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -150. Let w be u\/(-4) + (478\/(-8) - 9). Which is smaller: -71 or w?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 + 3*b + 2. Let y be n(-2). Let g(v) = 2*v**3 - 3*v**2 + 2*v - 4. Let z be g(3). Let x be 6\/(-27) - z\/(-9). Solve y = -r - 6 + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85771 + -85760. Suppose -u + 430 = 4*p, 3*u + 227 = 2*p + 5. Calculate the remainder when p is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 24*b + 265. Let p be i(-11). Which is smaller: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 4, -1, 0 in increasing order.\nAnswer: -1, 0, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (-1*(sqrt(65) + sqrt(65) + sqrt(65)*2 + sqrt(65)) - sqrt(65)))\/sqrt(5) - sqrt(39)\/(sqrt(363) + (sqrt(363) - 3*sqrt(363)) - sqrt(363)))**2.\nAnswer: 312325\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 31 = -5*h, -h = -2*z - 4. Suppose -h*w + 4 = -8*w. Which is smaller: -5\/2 or w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*i + 3*r = -1143*i + 3, -4*i - 5 = -5*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290802260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121634 and 646966?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61850488 and 4216?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0*r)\/r)**(-37)\/(r**(-4)\/(r\/(r**2*r))) assuming r is positive.\nAnswer: r**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a**2 + 2*a - 2. Let m be k(2). What is the tens digit of 250\/6 + m\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 78*x + 304. Let h be f(-4). Solve -73*u = -75*u - h, 0 = y + u + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.60000262 - 2.6. What is i rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50\/3? (a) -3 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.3, -0.2, 1\/380655?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 64. Let h = -45 - z. Solve 0 = h*c - 5*i - 16, 3*i - 14 = -2*c + 8*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 6*l + 1. Suppose 5*d = 25, f + 21 = -f + 3*d. Determine t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*a**2 - 38*a**2 + 118*a**2 + 126*a - 41*a**2 = 0. Calculate a.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51032*l - 1284373 with respect to l.\nAnswer: 51032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (52\/91)\/((-2)\/(-14)). Solve 4*r = -l*m + 8, 14 = 5*m - 3*r + 4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -10. Let s be ((0 - f)*-4)\/((-6)\/(-8)). Calculate the highest common factor of s and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f. Suppose 2*y - 15 = -3*y. Let s(m) = -y*m + m + f*m. Let d(q) = -q. Determine d(s(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 27*t**2 - 162*t - 164. Let f be r(-20). Which is smaller: f or 16275?\nAnswer: 16275","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3660 less than -424659?\nAnswer: -420999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2 - 40\/(-80).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24352208*c**3 - 5*c**2 + 6927661 wrt c.\nAnswer: -146113248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 19*j - 292. What is the units digit of k(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/((h*h**(-3\/16)*h)\/h))*h*h**(-3\/8) assuming h is positive.\nAnswer: h**(23\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3520 (base 7) to base 8.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14425915.\nAnswer: 5, 7, 349, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437 = 2*w - 71. Let x be (136\/(-18))\/(2\/w). Let h = -700 + x. Find the common denominator of -53\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 + 2*j**4\/3 + 7*j**3\/6 + j**2\/2 + 37*j + 2. Let c be i(-7). Which is smaller: -7\/17 or c?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from aaaradrse?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 360896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/11 - 62*p**2\/11 + 448*p\/11 + 512\/11.\nAnswer: 2*(p - 16)**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - ((-1046692)\/(-88) + -1). Let h = 11896 + m. Calculate the common denominator of (-2 - -3) + (-738)\/588 - 0 and h.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 8. Let s(t) = 2*t**2 + 9. Calculate -4*r(c) - 5*s(c).\nAnswer: 2*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 887394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 12*v - 11. Let m be t(13). Let k be (0\/m)\/(-10 - -7). Solve 4*n = -5*o + 22, 3*n = 4*o - k + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -478 - -530. Let z = -40 + y. What is the highest common factor of z and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 75?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 90 - 102 = 0. Calculate the greatest common factor of 16 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*m + 69984 = -1961*m + 389*m - 938*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.6 + -9.1. Let s = 18 + -18.06. Let v = 0.14 - s. Which is the fourth biggest value? (a) y (b) 3 (c) v (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262 + -262.2. Sort 17, 0.3, d in increasing order.\nAnswer: d, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121 - 2?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39322 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:38 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/12 != -2\/85715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59159695 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 - -252. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(2*f - 4 + 4) + f + 0 + 0 - 3 + 3 - f)*(-14 - 1 - 1).\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 + 1.2. Let k = 19 - 21.9. Let i = k - 0.1. Which is the closest to -1? (a) u (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 985845 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1288056 divided by 7.\nAnswer: 184008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858623984.\nAnswer: 2, 19, 2824421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 11*a - 12*a + 27*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.7 + -49. What is m rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 224 = 6*i. Calculate the greatest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4900 + 4998. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(6\/11)\/w)**(-2\/39)*(w**(-27))**(7\/3) assuming w is positive.\nAnswer: w**(-9013\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9102 + -7520. Calculate the remainder when 4746 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460462 and 196214.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19822751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12460347*c + 6*c**2 - 12460347*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 8. Let v = 1.39 + -59.39. Let f = 63 + v. Put t, f, 2 in decreasing order.\nAnswer: f, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alalalaa. Give prob of sequence all.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(-11521219 - 963*u**2 + 11521219) in the form v*u**2 + l*u + t and give v.\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557 = -13*p - 635 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-162)\/(-486) - 1\/(-24). Which is the fifth biggest value? (a) -0.2 (b) 1 (c) q (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1 - 1 + 2*d**2 - 3*d + 0*d**2 + 0. Let p be t(4). Is 2 a factor of (-5 - -1)\/(p\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*-1 + sqrt(18) - -1*sqrt(288))\/((sqrt(60) + 3*sqrt(60)*2)\/sqrt(10)) + 1.\nAnswer: 4*sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4514 = -935*p - 15121 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let a be j(-2). Let d(x) = 4 - 4 - x**2 + x. Let b(p) be the third derivative of -p**5\/30 + p**4\/8 - 17022*p**2. Give a*b(c) + 12*d(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 6:15 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -12. Let v = g + 6. Let l(j) = j**2 + 5*j + 6. Let s be l(v). Solve -4 = -4*t - 2*f - s, 0 = t + f - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 2, l: 4, z: 7, n: 5, d: 1}. What is prob of sequence zn?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d0d - -38045?\nAnswer: 38d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7407 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16362000 and 2020.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*m - m + 6, 19 = y + 4*m. Suppose y*a = -9*a. Let p = 227\/3 + -75. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342874 times 5?\nAnswer: 1714370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/1218)\/((-5)\/70)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 7*j. Solve -3*q + 15 = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 20\/9, 457 in descending order.\nAnswer: 457, 7, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 8 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11641087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 12*v)*(0*v**4 - 4*v**4 - 2*v**4 + v**4 - 4 - 5 + 8 + (4*v + 2*v - 4*v)*(3*v**3 - 2*v**3 - 2*v**3)).\nAnswer: 77*v**5 + 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -0.3 (b) 1\/7 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4064 = 13*l - 5582. What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -35\/144 (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.25 in -8\/16705, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmhmmmmhmmhh. Give prob of picking 2 m and 1 h.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 843, 1272, 1707, 2148, 2595?\nAnswer: 3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Suppose -5*m + 4*r = -34 + j, -4*r = -20. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 35*y**2 + y - 5. What is the remainder when j(-2) is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 867625093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103 and 3407.\nAnswer: 350921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 + -700951?\nAnswer: -700951.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 38. Let w be (4\/b)\/(18\/54) - -10. Solve 4*x - 10 = w*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/29601 or -1?\nAnswer: 4\/29601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 8 = 3*s, 6*w - 4*s - 20 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*h = -12*h + 8*h - 3528 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -6531 in ascending order.\nAnswer: -6531, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -710*i - 115052. Give h(-162).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 2. Let o be l(5). Let g = o - -7. Differentiate -k - 3 - 4 + g with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 5*q + 4. Let n be k(5). Let u = 9 + -17. Let i = 7.8 + u. What is the third biggest value in i, n, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 20.25. Let b = -2.7621 + o. Round b to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-238)*4\/((-160)\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 + 44*f + 19. Let y be a(-3). Suppose 3*h - 4 - 2 = 0. Solve y*k = 3*i - h - 1, -4*i = 4*k + 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(-99) - 640\/(-10560)) + -2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4078740*c**3 - 2*c**2 + 496*c + 53.\nAnswer: 24472440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/25 (b) 5 (c) -1\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*d**3 + 4*d**3 - 10*d**3)*(d - d + 2*d**2) + 3*d**2 + 6*d**5 + 9*d**5 - 2*d**2.\nAnswer: -55*d**5 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = a. Calculate the remainder when 137 is divided by a\/(-8) + (-71)\/(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 31*o**2 - 48*o - 29. Let r be w(-27). Suppose 26*d - r = 13601. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 6 - 1. Which is smaller: i or 3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 72. Let l(r) = -r**2 + 8*r - 12. Let x be l(8). Let d = x + j. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -4, 0.4, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 68. Suppose 0 = -5*s + 3*l + 76, -36 - g = -5*s - l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - 4615\/5124. Let k be (15\/1098*3\/10)\/(-1). Let g = m + k. Is 5 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 273 - 274 = -3*g, -g - 5 = -6*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 5*b**2 + 622*b - 1828. Determine y(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000091958006 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19, 56, 141, 298, 551, 924, 1441?\n\"Answer: 4*s**3 + 9*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/61? (a) 1\/3 (b) -5 (c) -659 (d) 1 (e) -17\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-285)\/(-5)*(-8)\/(-6). Suppose 8 = 6*m - x. Calculate the highest common divisor of m and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27927*l**2 - 15762*l**2 - 12190*l**2.\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -95, 5, 3, 0, -186 in decreasing order.\nAnswer: 5, 3, 0, -4, -95, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/(-6))\/(-3) + 3105\/(-243)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 9*i - 7. Let b(x) = -2*x**3 + 2*x**2 - 2*x + 2. Let n be b(2). List the prime factors of p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4 - 8251368*l**3 - 4255317116964*l**2 = 0.\nAnswer: -1031421, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 9, 3975, -154 in ascending order.\nAnswer: -154, -2, 3, 9, 3975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 - 4*t**2 + 3*t**2)*(0 + t + 0) - 15*t**3 - 173*t**2 + 173*t**2 as w*t + d*t**2 + h*t**3 + m and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27578927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/7)\/120)\/((-3)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22639 < 22637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3*-5*(-48)\/(-180).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-6 - (-2 + -28)) + (0 - 0 - 95)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 3\/(-3)*(-2275)\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 1782 - 722. What are the prime factors of s?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d*d**(2\/5))))\/d)**30*d**(-10)*d**(-9\/5)\/d assuming d is positive.\nAnswer: d**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and -6783.342192843.\nAnswer: -6781.242192843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -63\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 22. Determine c(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 814713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*j - 3 = 0, -4*m - j + 11 = -m. Suppose 6*c = c - 3*g + 2, m*c + 2*g - 1 = 0. Solve 0 = -x - 2 - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 150*f + 68. Calculate r(0).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Let b(f) = -3*f + 13. Let q(h) = 2*h - 7. Let p(o) = k*b(o) + 5*q(o). List the prime factors of p(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 1612888*q**2 - 3225770*q + 1612884 = 0. Calculate q.\nAnswer: 1, 806442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*y - 125*y - 3395*y - 123*y - 524*y to the form h*y + r and give h.\nAnswer: -3951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2. Let d(n) = 489*n**2. Calculate h(d(p)).\nAnswer: -478242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/17 - 126*s\/17 + 536\/17 = 0. What is s?\nAnswer: -67, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/2*6\/21\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and 69\/432640.\nAnswer: 432640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 2. Let s(c) = -2099125*c. Determine s(y(i)).\nAnswer: -2099125*i + 4198250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/2))\/(f\/(f*f**15))*((f*f**(-6)*f)\/f)\/((f**(-5)\/f)\/f*f))**(-15) assuming f is positive.\nAnswer: f**(-465\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 165054949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q + q)*(0 + 4 - 2) + 0*q + 2*q + 0*q + 8*q + 2*q + 3*q as z + w*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2 - w + 1. Let z be r(1). Suppose 10 = -2*k, -4*b + z*b + 25 = -k. Suppose -h = 4*i - 132, -i + 3*i + b*h = 66. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*237\/(-54) - (3 + -2) and ((-29)\/(-9))\/1 + (-6 - -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o + 68 = 0. Let p(j) be the first derivative of j**3\/3 + 17*j**2\/2 + 20*j + 2. What are the prime factors of p(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 153, 312, 473, 636, 801, 968, 1137?\n\"Answer: b**2 + 156*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*v = -2, 3*i + 43*v = 39*v - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 - 427 = -6*w. What are the prime factors of w?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 23. Let s = 22 - r. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 + (-12)\/(-7))\/(728\/1274)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*t - 292, 4*p - 2*t = -4*t - 382. Let g = -124 + 263. Let b = p + g. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/8 + 5*67327\/520 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*x**2 - 236*x + 116*x - 181*x**2 + 120*x + 820*x**2.\nAnswer: 1113*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-100) + (-1)\/((-15)\/(-6)). Factor v*y**2 + 0 + 2\/5*y.\nAnswer: y*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000792 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -288, -491, -696, -903?\n\"Answer: -o**2 - 198*o + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**2 - 4*o + 4. Let h(p) = p**2 + p - 1. Let t(s) = s**3 - s**2 + s - 2. Let k be t(2). Let b be 12\/k + 2 + -1. What is b*h(z) + q(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-38)*(-466)\/(-26). Let j = -15\/19 + t. Which is the nearest to 1? (a) 3\/4 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/4 + 16577*d\/2 + 4062813\/4 = 0.\nAnswer: -33031, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1443.06 - 20.\nAnswer: -1463.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 5*c. Let u be 26*(-3)\/18*-3. Let p = u + -7. Is 6 a factor of t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*y**2 - 2230 + 2230.\nAnswer: 130*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 5, -45, -0.1?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 - 41. Let b = 240.8 - o. Round b to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/3))**(-22)\/((l*l**2)\/l*l*l\/l**0) assuming l is positive.\nAnswer: l**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19971 - 19963. Solve 3*x - 7*x + 2*r = -k, -2*x = 2*r - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/12)\/(-5) + 6\/(-9). Let a be (-372)\/4340*(g - 7). Suppose -3\/5 + 1\/5*j - 1\/5*j**3 + a*j**2 = 0. Calculate j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/6)\/19*(-2)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*w**3 - 330*w**2 + 56*w.\nAnswer: 2*w*(w - 7)*(23*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*((-16)\/(-100))\/((-2)\/(-4)) + (6 - -1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/6 - 5*o. Let s(c) be the first derivative of 4*c**3 - 68. Calculate s(b(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -4, 203, 5, 4 in ascending order.\nAnswer: -4, -1, 3, 4, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - -15222165?\nAnswer: 15222217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5901*n**5*o - 2*n**2*o**2 - n*o**2 - 2*n*o + 10*o**2 - 102*o wrt n?\nAnswer: 118020*n**3*o - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64919532 by -68.\nAnswer: -954699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -6*d - 62, -87*h - 5*d - 66 = -84*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-5))\/(6*(-6)\/180). Let n = 0.133 + -0.133. Which is the closest to 1? (a) 1\/3 (b) -2\/19 (c) n (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -65 + 16. Let r(p) = 11*p + 20. Let h be r(k). Let x = h - -60. Solve 8 = f + x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 - 90*z**2.\nAnswer: -z**2*(z + 180)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/84)\/(1\/3 - 450\/1425)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, -1\/21, 2\/11, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - -2723071.\nAnswer: 2723070.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205069?\nAnswer: 205069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 91*s**2 + 200*s + 548. Give d(93).\nAnswer: 1850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1776*b - 4*b**3 - 872*b - 904*b - 5*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/(-22))\/((-1)\/2). Which is the third biggest value? (a) 3\/2 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2)*-1*-3 - (sqrt(64)\/sqrt(2) - ((sqrt(72) - (1*sqrt(72) + sqrt(72) + sqrt(72))) + sqrt(72) + sqrt(72))))**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 686185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -3\/8, 0.3, -4\/7, -0.9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:18 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - r + 174, -n + 2*r = -6*n + 876. Suppose 149 = 5*a - 161. Suppose -5*l + a = -18. Calculate the highest common divisor of n and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a - a**2 + (-a**2 - a**2 + 4*a**2)*(1 + 1 - 4).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 29. Is 7\/3 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -31*p - 3. Solve 5 - 8 = -p*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17474*d + 174663. Calculate p(10).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 5690.\nAnswer: 56900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.5 (c) 844 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -32733\nAnswer: -2\/32733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*d**3 + d**4 - 33*d**3)*(8 - 69 + 11).\nAnswer: -50*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.5 (c) 5 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64240, 64231, 64222?\nAnswer: 64213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 44 = 240*r - 2164 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.64793 rounded to zero decimal places?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -177*l**5\/20 + l**3\/6 - l**2\/2 + 9*l. Let g be q(1). List the prime factors of (-12)\/18 + g\/(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y + 517*y**2 + 423*y**2 - 8 - 946*y**2. Let g(w) = -w**2 + w - 1. Determine -5*g(d) + l(d).\nAnswer: -d**2 + d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*d + 8, 3*i + 2*d - 27 = 14. Suppose -100 = -4*v - 12. Let u = v + -13. Calculate the remainder when i is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 - 8*p - 8. Let g(t) = -22*t**2 - 24*t - 28. Determine 2*g(o) - 7*z(o).\nAnswer: 5*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, and 1 h when three letters picked without replacement from {w: 7, f: 2, a: 7, h: 2}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -19 + -54 - (-1 + 8 - -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z - 53. Let p be a(-8). Suppose 7 = -p*s + 205. Calculate the lowest common multiple of s and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 2\/5 (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 2. Let f be -5 - (2 + (-3)\/(-18)*6). Give u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + 1101100000?\nAnswer: 1101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.99 - -0.01. Let p = -5.3 + u. Let s = 1 + 3. Sort 0.4, s, p in descending order.\nAnswer: s, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 56\/(-128)*-4. Which is the nearest to i? (a) -2 (b) 3\/4 (c) -10 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(28\/5) - 10\/(-35). What is the second derivative of -16*h**5 - a + 1 - 26*h - 6*h**5 wrt h?\nAnswer: -440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/12*((-33325)\/(-75))\/(-31)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5354 + -3054. Let d = h + -1538. What are the prime factors of d?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 - -8458250.4\nAnswer: 8458250.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -26, -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3746550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190670622*n + 381343422*n - 190672804*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -491397 divided by 1\nAnswer: -491397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143476118 and 5.\nAnswer: -143476113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*21 + -3. Suppose 9*v**3 - 4*v**4 - 21*v**3 - 3*v**5 + 16*v**m = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) -5 (c) 55\/4 (d) -139 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1136*n**3 + 508*n wrt n.\nAnswer: 6816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -73*k + 282. What is h(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-102) + (3 - 81\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0*l**3 + 5\/6*l**4 - 5*l + 0*l**2 + 0. Let v(s) be the second derivative of s**4\/6 + s. Give r(v(c)).\nAnswer: 40*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/2)*f\/f**(-1)*(f**(-1\/4)\/f)**(3\/20))\/((f**3*f\/(f**(-6)*f)*f)\/(f\/f**(-1\/3)*f*f\/(f**(1\/2)\/f))) assuming f is positive.\nAnswer: f**(-185\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -15*y**2 + 455*y - 9. Let h(q) = 7*q**2 - 230*q + 4. What is 6*d(k) + 13*h(k)?\nAnswer: k**2 - 260*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = -7*o. Suppose -2*a + 31 = a + y, -o*y + 8 = 0. Suppose -w = -4*w + a. Solve -t = -w*k - 15, 4*k = t + 3*k - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + o + 1. Let d be ((-3)\/2)\/((-78)\/12 - -5). Let k(a) = a**2 - 1. Let r be (2 - (1 - -1))*-1. Let y = r + 1. Determine d*k(n) + y*v(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 16*p - 26. Let k be c(18). Suppose -5*s = -0*s - k. Sort s, 5, -3 in decreasing order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 104064.\nAnswer: 104064.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 2. Let m = q + -1.4. What is the nearest to -2 in 0, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from titti?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-3)\/(-9))\/((-7)\/168). Solve 0*m - j*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 0*o**3 - 5*o**3)*(-3*o + 2*o - o)*(-o + 2*o + 2*o).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458872712 to the power of 1\/2, to the nearest integer?\nAnswer: 49587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/35 (b) 57.71 (c) 0.1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 4:46 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 2*z**2 + 1 + 3*z - 5*z**2. Calculate o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2127*y**2. Let u(b) = 5*b. Determine u(q(j)).\nAnswer: 10635*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-22))\/(5\/(-35) - 11\/(-28)). Find c such that 144\/11*c**2 + 49\/11*c**4 + 0 + w*c + 273\/11*c**3 = 0.\nAnswer: -5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -153 - 0\/2 - (-47)\/((-1645)\/(-175)). Is -159 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 487*q - 2886.\nAnswer: -(q + 6)*(q + 481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 10937*s**3 + 3*s - s - 19229*s**3.\nAnswer: -8292*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/(2\/24). Let w = d + -44. What are the prime factors of -7*((-24)\/w)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 3:14 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208482531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5593 and 313922.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.30723 minutes to nanoseconds.\nAnswer: 2298433800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -144*d**2. Let z(f) be the third derivative of 5*f**4\/12 - 6*f**2 - 54*f - 1. Give z(l(u)).\nAnswer: -1440*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(1\/(-24)). Let w = i - 7. Suppose -w*r - 39 + 119 = 0. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 6331290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3\/(f*f*(f*f**(6\/5)*f)\/f*f)*(f\/(f\/f**(1\/2)))**(2\/181) assuming f is positive.\nAnswer: f**(-1986\/905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + -3 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5979.1616 - -5983. Let v = x - 4.7. What is v rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and -8*-1*4\/8 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + 3*b**4 - 5*b**4)*(11870 - 6445 - 2*b - 6814).\nAnswer: 4*b**5 + 2778*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 816, -1198, 9 in increasing order.\nAnswer: -1198, 2, 4, 9, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - v + 4*v + 5, 4*v + 6 = -3*g. Suppose -a - 1 + 7 = 0. Let t = a - 6. Solve t = 5*x - g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 631.\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59899 - 4.2.\nAnswer: -59903.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4894 - 3*m**2 + 4894.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a + 0 - a**2 - 1\/30*a**3 - 1\/300*a**5 - 1\/60*a**4. Factor v(s).\nAnswer: -(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110148483 divided by -3257?\nAnswer: 33819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6563737 to the power of 1\/2, to the nearest integer?\nAnswer: 2562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0 + 0 + 2 + 1 + 16*r - 1. Determine z(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/(-3))\/((-2)\/3). Suppose 3*h + 5 - k = 0. Suppose h*v + 0*d - d = 43, 4*v - 4*d = 44. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*r + 8, 4*y - 11 = -2*r + 21. Suppose 35 = y*h - 93. Suppose -h*g + 110 = -6*g. Solve -8*a = -g*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 59. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 902329 + d?\nAnswer: 902338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/13 (b) 70370 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -597 + 213. Suppose -u - 3*u = -x. What is the highest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147738, 147735, 147730, 147723?\nAnswer: 147714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 7*o**2 - o + 372. What are the prime factors of z(-17)?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -1 + (-230 - -199)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-20))\/(2\/(-85)) - (-7)\/(-28). Solve 0 = -4*i, 9*i = 4*b + 12*i + x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c*c\/(c*c\/(c**(-19)*c))))\/c)*c**(-10\/9)\/c)\/(((c\/(c*c\/((c\/(c\/(c\/(c\/c**(-5\/8)))))\/c*c)))\/c)\/((c*(c\/c**(-3\/8))\/c)\/c)) assuming c is positive.\nAnswer: c**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -93 and -349205755?\nAnswer: 349205662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**2 + 2*g - 1. Let y be (-6)\/15 - 108\/(-20). Let z = -4 + y. Calculate the least common multiple of 3 and v(z).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3 + 4*f**2 + 11*f - 20. Let n(m) = -5*m**2 + 12*m + 17. Suppose p = 3*p - 16. Let b(s) = p*g(s) - 5*n(s). Factor b(q).\nAnswer: (q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-386)\/(-6) - 12\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**(-2\/7))**22 assuming m is positive.\nAnswer: m**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, -348, -782, -1390?\n\"Answer: -87*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:02 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21274258 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32290220.\nAnswer: 2, 5, 31, 52081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 1. What is the remainder when 26 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from hannhnhhhraxahranna.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1300) + (sqrt(1300) - sqrt(1300)*-4) + sqrt(1300) + sqrt(1300))*1 - (1*(0 + sqrt(13)) - (sqrt(13) + 2)*5))**2.\nAnswer: 1176*sqrt(13) + 91777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:27 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12976 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 6. Suppose 0 = -4*z + 4*k, 4*z + r*k + 0 = 12. Solve j + 1 = z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -29*h - 5. Let r(q) = -13*q - 2. Let d = -117 - -112. Let a(o) = d*r(o) + 2*f(o). Let g(l) = -7*l. What is -2*a(z) - 3*g(z)?\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p - 2226. Let v(k) = -3*k - 1133. Give 5*a(w) - 9*v(w).\nAnswer: -3*w - 933","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772027 is divided by 152074?\nAnswer: 11657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -13, -56, -141, -274, -461, -708, -1021?\n\"Answer: -p**3 - 12*p**2 + 36*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*q = 0, -14 = -4*p + 4*q + 2. Suppose -a - 45 = -p*a. Suppose -5*d + a = -90. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 24342418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881 is divided by 174.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-10)*k*k*k)\/(k**(-2\/11)*k)*((k\/(k**(5\/3)*k))\/k)\/((k*k*k\/((k**(-1\/11)\/k)\/k))\/k))**(3\/16))**(-18) assuming k is positive.\nAnswer: k**(4329\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-7))\/(15\/105). What is the units digit of -4 + 3 + 69 - l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(38)\/(sqrt(18)\/(sqrt(72)\/sqrt(8))))**2 + -3 + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70632867 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-85)\/(-51) - 26\/(-6). Find the second derivative of j**3 - 2*j**3 - 41*j - k*j**4 - 2*j**4 wrt j.\nAnswer: -96*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrarrr. What is prob of picking 2 r?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 140 = 10*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/94 and -11\/15886.\nAnswer: 15886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -31*t**7\/210 + 7*t**6\/120 - t**4\/6 + 8*t**3\/3 + 694*t**2. What is the second derivative of v(h) wrt h?\nAnswer: -372*h**2 + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from zuazlsj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5531833373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6332824 is divided by 262?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c + 56 = -5*v - 36*c, 0 = -v - c + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27280420 and 1516.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(44)*-2 - -3*(2 + (-2*sqrt(11) - sqrt(11)) - sqrt(88)\/(sqrt(40)\/sqrt(5)))**2) + 3.\nAnswer: -52*sqrt(11) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 10:53 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15 + -20 - (36 - 61)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 818\/(-58) + 44\/((-132)\/(-9)). Is v equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 17*n**2\/2 + 23*n + 1409. Let z be -2 + 11\/1 + -1. What is the hundreds digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6.5. Let h = -18 + 35. Let z = h + -16.7. Which is the third biggest value? (a) d (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98) + 5.\nAnswer: 7 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -277*s + 77874. Give b(281).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*l - 2*i, 271800 = 5*l - 2*i + 271749 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26817233.\nAnswer: 26817233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416500 rounded to the nearest 10000?\nAnswer: 3420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/35825 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a5 (base 15) in base 3?\nAnswer: -2101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -317 + 445. Suppose -5*d - 64 = -7*d. Calculate the greatest common divisor of x and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/10 + (-2444)\/(-468) + (-2)\/9. Factor 0*i**2 + 0*i + q*i**4 - 2\/5*i**3 + 0.\nAnswer: i**3*(7*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5982.9372 * -1\nAnswer: -5982.9372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.8, 14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 10*k - 3. Let b be 3\/((-18)\/(-15))*2. Does 11 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = -5*d + 8, 11 = 3*d - 2*u. Suppose 3*v - 18 - d = 0. Let o = 2 - -9. What is the remainder when o is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8815\/7 + -1259. What is the third smallest value in 15, 0, -2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 25, -17*o + 13*o - 22 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*r**2 - 56*r**2 + 120*r**2)*(-6 + 6 + 3*r**3) + 2*r**5 + 3*r**3 - 3*r**3.\nAnswer: 53*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175385*b**3 + b**2 + 133375*b + 1?\nAnswer: 1052310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 88*s - 98*s. Sort -4, s, -198 in ascending order.\nAnswer: -198, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r**3 + 9*r**2 - 14. Let i(l) = -6*l**3 + 4*l**2 - 7. Let y(q) = -4*c(q) + 9*i(q). Let g(t) = 2*t**3 + 6. Give -7*g(s) - 6*y(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/14)\/s)\/(s**(-1\/11)\/s) assuming s is positive.\nAnswer: s**(47\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105, -206, -307?\n\"Answer: -101*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16182 = 72*q + 15*q. Calculate the least common multiple of q and 318.\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 minus -3.8?\nAnswer: -74.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 5.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -492 - 428. What is the tens digit of (-36)\/30*c\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2639573 centuries to decades.\nAnswer: 2.639573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.307 + -3.507. Let y be ((-2)\/(-2))\/((-7)\/1). Which is the nearest to 2\/5? (a) x (b) 2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - m + 1. Let d(l) = -5*l**2 - 10*l + 11. Let n(b) = -b**2. Let a(v) = d(v) + 5*n(v). What is 2*a(r) - 22*z(r)?\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 51 = 45. Let n(m) = 16*m - 10. Let x be n(q). What is the highest common divisor of 102 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.61 + 69. Let p = f + -0.63. Let j = -0.51 - p. What is the closest to j in 1\/9, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123820 and 4510.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1424691012, -1424691011, -1424691010, -1424691009, -1424691008, -1424691007?\n\"Answer: k - 1424691013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 3, 64, -4 in increasing order.\nAnswer: -4, -3, 3, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 2 + 4*s**4 - 10*s**4 + 2*s**4 in the form o*s**3 + i*s**4 + n*s + y*s**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {e: 2, z: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 4566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*q**2 - 3)*((1 + 2 + 3)*(-q + q + 2*q) + 7*q - q - q).\nAnswer: 51*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12*w - 19936 = 0. Find the second derivative of -w + 2846 + 26*y + 318*y**5 + 32*y wrt y.\nAnswer: 6360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1010*a**2 - 23*a + 50. Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12936 and 484.\nAnswer: 142296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/5)\/(0 + 6\/(-15)). Let p be (2\/4 - 0)*10. Suppose -p*q + 13600010 = -4*f + c*f, 6 = 3*q. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1229 (base 11) to base 7\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 17*q + 29. Let c be l(-2). Solve -4*n - 37 = n - c*m, -5*n - 41 = -4*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1304*w + 7967. Is i(-64) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*h = 11, -2*b + 4*h = 2*b + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7625180195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 516*p - 299. What are the prime factors of g(6)?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43252 + 0.02748. Put -8, 0, -3, -5, u in increasing order.\nAnswer: -8, -5, -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21737881 - 1?\nAnswer: 21737880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 10*v**2 + 25*v - 8. Let l be a(12). Solve -3*r - l*h = 24, -2*h + 3*h + 11 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 64 = -4. Let f be 15\/3 - 2\/(-2). Suppose -y = -f*y + z. Solve w + w - 14 = -2*r, y*r = -2*w + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 18\/21265, -6\/11, -5\/4?\nAnswer: 18\/21265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -244*f + 7. Let k(j) = -487*j + 15. Let q(u) = -3*k(u) + 7*n(u). Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.037, 8\/7, -0.1 in descending order.\nAnswer: 8\/7, -0.037, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185536*z**2 - 142346*z.\nAnswer: 371072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1203 - 23*u + 1203)*(u**3 + u**3 - u**3) + 25 + 36*u**4 - 25 + u**3 - 3*u**4 - u**3.\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 37502, 3, 8, 10 in increasing order.\nAnswer: 3, 8, 10, 37502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**6\/120 + 7*y**5\/60 + y**4\/2 - y**3 - y**2. Let x = -9 - -17. List the prime factors of d(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 - -240. What is the third derivative of -c**5 + c**5 - 4925*c**6 + 8 - f*c**2 + 4973*c**6 wrt c?\nAnswer: 5760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 6*s + 22. What is t(6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + -1. Let j = -11.08 - z. Round j to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -280, -251, -196, -103, 40?\n\"Answer: 2*g**3 + g**2 + 12*g - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y**3 - 5*y**2 - 5*y - 5. Let q be ((-3)\/(-6))\/((-31)\/3038). Let l(m) = 119*m**3 + 49*m**2 + 49*m + 49. What is q*v(x) - 5*l(x)?\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 10*g - 13. Let w(j) = -j**2 - 7 + 0*j - 8*j + 3*j. Let q(c) = -4*i(c) + 7*w(c). What are the prime factors of q(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -121, -7 in descending order.\nAnswer: 2, -3, -7, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 301341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f + 360 = -81*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121941536 is divided by 713?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-374)\/34 + (-784)\/49.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let s be w\/(4\/(-4) + -3). Which is the smallest value? (a) -1\/2 (b) s (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrfuruuuuutsruurthf. What is prob of sequence tut?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 24) + (114 - 277 - -199).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61583220 by 60.\nAnswer: 1026387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2650)\/(-14) - ((-188)\/28 + 7). Suppose -30 + 5*z**3 - 125*z - 99*z + s*z = 0. What is z?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 85*f**2 + 11*f + 75. Let g(o) = -28*o**2 - 4*o - 25. Let k(x) = -11*g(x) - 4*n(x). Find the first derivative of k(c) wrt c.\nAnswer: -64*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2076676800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*z - 32, -730 = -14*k + 6*z - z. Let i = 21 - 16. What is the highest common factor of k and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3216.17 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60519, 120940, 181349, 241740, 302107?\n\"Answer: -b**3 + 60428*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 20, -4*s + 2*d + 15 + 3 = 0. Let p(x) = -11 + 10 - x**3 - x + 3*x**s - 6 - 10*x**2. Let i be p(-7). Which is smaller: i or 1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**7)\/b*((b\/(b**(-1\/16)*b))\/b)\/b)\/((b**(-37)*b)\/b**(-6\/5)) assuming b is positive.\nAnswer: b**(2069\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:03 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 66733062.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*m**5*z**2 - m**3*z**2 - 2*m*z - 5*z**2 - 4*z wrt m?\nAnswer: -160*m**3*z**2 - 6*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-392)\/(-21))\/7*(-6)\/4. Let s be (24\/(-40))\/(b\/(-5) + -1). Suppose -c + 3 = 2*c + 4*d, 3*c - 3 = 3*d. Sort c, s, -1 in increasing order.\nAnswer: -1, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 190 + 445. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171524 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10e - -ba4?\nAnswer: cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y**2 + 7. Let j(u) = -7*u**2 - 3. Let m be 4 + (272\/2)\/(-8). Determine m*j(k) - 6*g(k).\nAnswer: k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3773826944 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 - 3*n - 10. Let o be s(-4). Suppose -4*w + 8 = -3*u, 0*u - 3*u + 5*w = 13. Sort o, 7, u, 1 in ascending order.\nAnswer: 1, o, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - (11 - -3 - 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-117)*1998\/(-5661)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 690 - 149. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, -539, 3, 4 in increasing order.\nAnswer: -539, -17, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - -0.01. Let g = -0.06000016 - p. What is g rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/53033355 and 34\/9?\nAnswer: 53033355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3369425, 6738916, 10108407?\n\"Answer: 3369491*d - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -16*i**3 - 7*i**2 - 5*i - 7. Let w(b) = -7*b**3 - 4*b**2 - 3*b - 3. Give 4*l(d) - 7*w(d).\nAnswer: -15*d**3 + d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 39.9. What is the smallest value in 2\/9, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-40 + 18 + 56)) + -18.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 - 3*o**2 - 24*o + 80 = 0. What is o?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 = -2*p, 5*n - 6*n - 4 = -p. What is the remainder when 2 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2050 and 2725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3 + sqrt(684)))**2 - sqrt(228)\/(sqrt(12)*-4)*-6) + -4.\nAnswer: -75*sqrt(19)\/2 + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 42\/5, -0.3, 3\/8, 4 in ascending order.\nAnswer: -0.3, 3\/8, 4, 42\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 3 - 15 + 0*i + 11 + 4.\nAnswer: -4*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 + 0)*(-2 + 3 + 1) + 1 + 0 + 2)*(-i + 0*i + 4*i).\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 110, 86, 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9288 and 20840.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2451*k - 2*f = 2453*k - 8, 3*k - 30 = 3*f. Sort k, -1, -32 in decreasing order.\nAnswer: k, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 583, 831, 1079?\n\"Answer: 248*p + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 90*k**2 + 24*k**2 - 127*k**2. Let y(s) = 2*s**2 - 9*s. Calculate y(u(c)).\nAnswer: 338*c**4 + 117*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16d7e5 + -1?\nAnswer: -16d7e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*y + h, -2*h + 292 = 4*y + 68. What are the prime factors of y?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1550)\/(-465)*45\/3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731619382?\nAnswer: 2, 13, 193, 145799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210540861 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4.071*-0.09\nAnswer: -0.36639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4043*d + 196810. Give y(48).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 186756 + 1033?\nAnswer: 187789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 3\/7, -0.1, 1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, 215.1, 1, -2\/11, 2\/5, -5\/8, 7\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4898*z = -4850*z - 1008 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -799*s + 766*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/27 and 5\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81941 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wglrrfewlwweewler. What is prob of picking 1 f, 1 g, and 1 l?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1808066 and -17\/106675894.\nAnswer: 106675894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*c - 57*c - 2 - 45*c - c**3 - 6 in the form b + i*c**2 + x*c + t*c**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961610085?\nAnswer: 3, 5, 131, 157, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 3*g + 9*g**2 - 3*g. Suppose h - 3*z + 8 = 0, 5*z - 1 - 9 = 5*h. What is the units digit of k(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50399845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p + 138. Let o be q(0). Let c = -74 + o. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21)*-1 + (-4)\/14. Put y, 34, -2, -4 in ascending order.\nAnswer: -4, -2, y, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-18\/11)\/(i**(-2\/3))**(-3\/25)*i*i\/((i\/(i**(-3)*i))\/i)*i**8*i*i\/i**(-2\/3)*i*i**(-2\/7)*i assuming i is positive.\nAnswer: i**(52138\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 + 10 - -2) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2 - (-1)\/(-2). Suppose 0*m - 16 = -a*m. Solve 0 = -5*x + 10, 3*p + 0*p - m*x + 11 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 41760.\nAnswer: 7\/6960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82437849, 82437851, 82437853, 82437855?\nAnswer: 82437857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -106571?\nAnswer: -4262.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.59 + 12.29. Let o = -3.02 - -0.02. Let x = o - -2. Sort v, x, 5\/6 in descending order.\nAnswer: 5\/6, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -30 + -6 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257207749?\nAnswer: 4153, 61933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388305849.\nAnswer: 3, 23, 5627621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -26.6\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 15}. Give prob of picking 2 q.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 147 + 15 = 0. Let r be (-8)\/p - (-34)\/(-66). Let v = 0 + 0. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2\/(-3))\/2. Let d be (-2 - -5)\/6*-8. What is the nearest to -1 in -2\/11, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-112)\/(-120))\/(18\/20). Let t = -223\/27 + v. Calculate the common denominator of t and 34\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**2. Let h(w) be the third derivative of w**5\/12 + 15*w**2. What is h(k(z))?\nAnswer: 125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 0*a**3 - 6\/7*a**4 + 3\/7*a**5 + 0 + 0*a.\nAnswer: 3*a**4*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -59*h - 31*h + 7*h. Let a(r) = -66 - r + 34 + 32. Determine a(s(u)).\nAnswer: 83*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 25*c + 45, 3*y + c - 124 = c - 4*c - 129 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2059*h*i**4 - 4174*h*i**3 + 3443198*h*i**2 + 9*i**2 wrt i?\nAnswer: 49416*h*i - 25044*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 15663.\nAnswer: 15669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 5, -0.5, 4 in ascending order.\nAnswer: -43, -0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53872\/3 - 17959. Which is the nearest to 2\/135? (a) 2 (b) 0.06 (c) m (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 77.\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*v - 6 = -9, 0 = m - 4*v + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(3 - (-1100 - -9)).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 6 = 4*v, -57*u + 58*u = -5*v - 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 15*c + 41. Let q(d) = -d. Let k(n) = -j(n) + 2*q(n). Let p be k(-14). Solve 4*h + p - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1238 - 1234. Solve -3 - 4 = -b - v*l, 5*b + l = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) -2 (b) -3 (c) -4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 13*q**5\/10 + 49*q**4\/12 - 25*q. What is the third derivative of o(d) wrt d?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-12) + 390\/252. Let k = -5.2 + 5.6. What is the closest to 0 in k, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96382 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552369497 is divided by 4356.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/4)\/9*6 - -28?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = 10 - 66. Suppose -k + h*d = -7, d = 5*k - 0*d + 3. Put 0.3, 4, k, 2\/7 in descending order.\nAnswer: 4, 0.3, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -67*h + 43*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 + 42*f - 1900 + 1930 - 50*f**3 + 13*f - 30*f**4 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4 - 220298*g**3 - 12133022497*g**2 - 24265384104*g - 12132581904 = 0.\nAnswer: -110148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*x**2 + 1674*p*x + 6670*p + 12828745*x**2 + x + 1 with respect to p.\nAnswer: -2*x**2 + 1674*x + 6670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 17*b**2 - b - 11. Let d = -13 + 49. Let a = d + -53. Let v be h(a). Solve -v*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 34*y**2 - 36*y - 27. Let o be j(-35). Suppose -3078 = -o*k + 1178. What are the prime factors of k?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnr when three letters picked without replacement from {v: 1, z: 5, r: 3, n: 1, e: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-4))\/3)\/((-1)\/(-2))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 5, 16 in descending order.\nAnswer: 16, 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9 - 3. Let s = -10 - -6. Find the common denominator of f - (-93)\/(-6) - s and -11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 94*w**2 + 1461*w - 254. Calculate the remainder when y(75) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 1094*w - 2 + 1093*w - 50*w**4 - w**3 in the form z + k*w + n*w**3 + s*w**4 + y*w**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(175) + (sqrt(7) + 2*sqrt(63))**2.\nAnswer: 5*sqrt(7) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/21*(4 - 1). Suppose g*h = r - 21, 3*h + 15 = r - 0*r. Calculate the least common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -527 - -582. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 19*m + 38. Let f(k) = -7*k**2 + 37*k - 76. Let y(c) = 2*f(c) + 5*o(c). Let v be y(2). What is the nearest to v in -1, 4, -11\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 23*l + 72 = 0. Let a be (-8)\/l + (-22)\/(-6). Suppose 0 = 5*j - a*b - 1449, -j + 1469 = 4*j + b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -11. Suppose l + 3*y = -7, 0*l + 2*l - y = 14. Suppose -u*j + 135 = l*j. Solve 18 = -5*i - 0*o + o, -4*i - j = -o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24726864277\/168036 - -1618674\/11. Calculate the common denominator of 21\/5 and q.\nAnswer: 76380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*h + 83*h = -228. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d - 45 = 0. Suppose -20 = 11*s + 13. Let q = d - s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -115*x**2 - 2*x - 1. Let v be t(-1). Is v\/(-4) + 18\/12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-33) + (-28)\/21\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189.574*-0.2.\nAnswer: 37.9148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 35 + 113 = 0. Suppose 2343*l + 149 = 2347*l + 3*a, -l - a = -34. Calculate the remainder when l is divided by (0 - 1)*1 + w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 265, -3 in decreasing order.\nAnswer: 265, 55, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuc when three letters picked without replacement from {u: 4, c: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, y: 1, f: 4, g: 1, s: 3}. What is prob of sequence fyq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 64163?\nAnswer: 64167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 8)*(-2 + 2 - 1)*(-3*p**3 + 3*p**3 + 4*p**4) as y*p**2 + b*p**3 + q + u*p + t*p**4 and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3*2\/(-12)). Solve -4*u + 4 = -3*i, -3*u = 4*i - 5 + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16949, -16951, -16953, -16955, -16957, -16959?\n\"Answer: -2*t - 16947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 66740674.288.\nAnswer: 66740692.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 112.705, 4, -1\/3, -0.5, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + 101?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -406 + 36383?\nAnswer: 35977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 40 (c) 0 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156105 + -3?\nAnswer: 156102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - (0 + -1 + 2). Suppose -116 = -4*t + 4*r, 10 + 7 = t + 5*r. Let c = z + t. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19368 = 18*z - 22014. Let g(c) = 6*c**2 + 1 - 2*c**2 - 2*c + 0*c**2. Let q be g(-2). Calculate the greatest common divisor of q and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 + 183*(-2)\/(-3). Suppose 130*b = v*b + 132. Solve -24 = 5*h - 2*m, 0 = -0*h + 4*h - 3*m + b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 - 24 = 4*i, 3*g - 12 = 0. Sort i, -3, -1 in descending order.\nAnswer: -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Let r be (s - (0 + 0))*-1. Is (-27)\/(-9)*(1 - r) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26718759, 26718760, 26718761, 26718762?\n\"Answer: q + 26718758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/((-1)\/10). Suppose m + 36 = a*m. Suppose -4*c + c - m = 0, 5*n - 6 = -3*c. Solve -2*k - 8 = r, 6 = k - n*r + r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39501086.\nAnswer: 2, 19750543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 4*f - 120. Is 52 a factor of w(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2 + 2, -4*l = 3*b - 29. Suppose -4*t**2 + 9 - 3*t - b + 0*t + 3*t**2 = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-120)\/(-28)*(1 - -6). Suppose 9*q + i = 6*q. Let j = q - -41. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -17822\/33 = -540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 3*o**4\/2 + 9*o**3 - 6*o**2 + 7*o. Does 45 divide q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 20414431.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 0 - ((-11 - -33) + -27)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -16*z + 14. Let o(s) = 2*s**3 + 13*s**2 + 7*s + 4. Let c be o(-6). Let x(v) = -v + 1. Calculate c*y(g) + 28*x(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74, -64, -52, -38, -22, -4?\n\"Answer: n**2 + 7*n - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 196. Let f = m - -102. Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 + 3. What are the prime factors of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1. Let u(r) = -3*r**3 - 5*r + 6. Suppose -3*b + 8 = 5*l - 6, -4*b + 12 = 0. Determine l*u(z) + 5*p(z).\nAnswer: -3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 8*c + 4. Let q be t(9). Suppose s - n - 63 = n, -4*s + n + q = 0. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26037*c + 52078*c + 11 - 26039*c - 3.\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8593\/5 - -1710. Let c = w + 41\/5. Put c, -2\/13, -3\/7 in descending order.\nAnswer: -2\/13, c, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485805 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1834189ml?\nAnswer: 0.0001834189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43488 - 31188. Is 123 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257805.63 months in years?\nAnswer: 21483.8025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 10*q + 3. Let x(y) = -6*y**2 + 30*y + 8. Let a(d) = -10*f(d) + 3*x(d). What is the units digit of a(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.71662 grams in milligrams?\nAnswer: 38716.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) -3 (c) -12 (d) 4\/3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (-2*sqrt(1377) + sqrt(1377)))**2 + 5 + (sqrt(51)\/sqrt(3))**2.\nAnswer: 5530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.0319 and -4.\nAnswer: 104.1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-3\/11))\/t)**10)**(-2\/27) assuming t is positive.\nAnswer: t**(-20\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -565, 0.3, -19, 2\/5, 2\/13 in decreasing order.\nAnswer: 2\/5, 0.3, 2\/13, -3, -19, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837.01 + -838.01. Suppose -4*r + 7 = -5*r. Let q be 1*((-2)\/(-2) + 0). What is the fourth smallest value in r, -0.2, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 16*s**2 + 42*s - 8. Let z be q(13). Solve -z = 13*n - 31 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32934*m**3 - 90 - 73 - 32941*m**3.\nAnswer: -7*m**3 - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/12 - -2)\/((-3)\/(-8)). What is the second smallest value in 7, 5, g, -5\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -2000031?\nAnswer: -2000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*f + 4*f = 582, w = -3*f + 140. Solve 0 = 5*a + w - 121 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59 + -78 - -34) + 26\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z - 473. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001519770092 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 14 = -m + 3*t, -5*t = 5*m + 20. Let n = 1 + -1. Which is the closest to n? (a) 3 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-33) - 92\/(-264)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317 + 893. Let w be ((-1)\/3)\/((-24)\/m). Solve -3 = -3*q + 3*j, 3*j = j - w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544443873?\nAnswer: 3, 181481291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79843\/2 or -39922?\nAnswer: -79843\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 - 4 + 43 - 39.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6881.\nAnswer: -6884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 11*a + 40 + 7*a + 66 + 5*a - 129.\nAnswer: a + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 65*j**3 + 3*j**2 - 2*j + 2. Let q be s(-3). Suppose 187*f + 5022 = 185*f. Let c = q - f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4473 is divided by 558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 50. Let y(t) be the second derivative of 4*t**5\/5 + t**4\/6 + t**3\/6 - 4*t. What is y(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 - 19*z + 16. Determine t(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 4. Let g be b(0). Let u be ((-160)\/280)\/(10\/7) + 12\/5. Solve -g*j + 2*x + 12 = 0, 9 = 3*j + u*x - 3*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3243545521?\nAnswer: 181, 1277, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280931 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 251180.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2124 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 10, -5, -20, -35?\n\"Answer: -15*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -421 + 428. What is the least common multiple of 63 and z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from chchcccccccccchccc.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5670 - 6103.7. Let i = m - -412. What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512 and 171328?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 4*i**2 + i - 11. Suppose -4*c = -27 + 47. What is the hundreds digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 3)\/((-21)\/476). Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m = 9 - 87. Let f(v) = -m*v + 22 - 23 + 3. Suppose -3*t - a = -13, 3*a - 27 = 4*t - 9*t. Calculate f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 378529156 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0.2, 1\/6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958450.\nAnswer: 2, 5, 13, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 1. Let y(v) = i - 8 - v**2 - 9*v - 5. Let u be y(-8). Let f(z) = -z - 2. Let j(o) = -1. What is u*f(l) - 6*j(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 256 = 2*k, 3*s + k - 260 = -s. Suppose -3*q = -0 - s. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - -32) + (0 - (0 - 6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 6 = 0. Let z = -27 - -29. Let p(y) = -9*y**3 + 3*y**z - 7*y**q + 10*y**3 - 2*y**2 + 5. Give p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 3}. Give prob of sequence tt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 4, 15, -0.4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.01, -0.4, -11, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 5*o - 2*o)*(2*o + 0 + 0) - 64*o**2 - 33*o**2 - 63*o**2 - 38*o - 2*o**2 - 7 + 38*o.\nAnswer: -158*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -20, -315, -2, 2\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 58*l**3 + 5*l**2 - 5*l - 215. Let f(q) = -175*q**3 - 14*q**2 + 14*q + 644. Let o(n) = -5*f(n) - 14*p(n). What is the derivative of o(u) wrt u?\nAnswer: 189*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -0.4, 42, 5, -920?\nAnswer: -920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 16 = 3*y. Solve 0 = 3*l + l + y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-93312)\/(-13440) - (6\/105)\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10110 * -0.1.\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l + 128. Determine a(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 204, 439, 754, 1143?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1038*l**2 + 5138*l + 37836.\nAnswer: -2*(l - 9)*(519*l + 2102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = g + 17. Suppose 0 = 4*j - 7*j + 6. Which is the third smallest value? (a) j (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, 3, 5 in ascending order.\nAnswer: -3, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 619*a**5\/12 - 2513*a**4\/6 - 1043*a**2 - 1. Find the second derivative of y(z) wrt z.\nAnswer: 6190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from {p: 3, w: 3, m: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/7 - 22*k**2\/7 + 72*k\/7 - 72\/7 = 0 for k.\nAnswer: 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 430. Is 30 a factor of z(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or 8\/3?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 732 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**6\/(o**(-1\/3)\/(o*o**(-4\/5))) assuming o is positive.\nAnswer: o**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31\/39 + -105\/26. What is the common denominator of -50\/597 and r?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1818670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(572) + sqrt(572) - sqrt(572))\/sqrt(11))\/sqrt(4).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.88 (b) -2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 89166*l**2 + 8*l - 5. Let k be t(6). What is k rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4783532*h**4 - h**3 + 6002673*h**2 wrt h.\nAnswer: -114804768*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 17 + 183. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s - o, 0 = -3*s - s + o + 20. Let w = 2 + -1. Let c(y) = -w + 4*y + 2 + 8*y**3 + 4*y**2 - 9*y**3. Calculate c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14*(-56)\/(-48))\/(15*(-94)\/27495).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*s**3 - 26*s**3 + 23*s**2 + 30*s**2 wrt s.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -5*h**4\/6 + 6*h**2 + 58*h. Differentiate i(y) with respect to y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 - 1)*(8 - o - 8 - 3).\nAnswer: -3*o - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + (-132)\/(-34)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 8. Let u = -20 + n. Factor -139*o + 4 - 507*o**u - 17*o - 16.\nAnswer: -3*(13*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:32 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -1 (c) -762\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 713998019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 - 10 + 0*m - m + 2*m. Let r be i(8). Suppose 0*p**2 + r*p**3 + 2\/5*p**5 - 2\/5*p**4 + 0 + 0*p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 2}. What is prob of sequence sstt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/20 - u**4 + 7*u**3\/3 - 15*u**2 - 90*u. Let v be c(11). Solve -3*w = -6 + v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 17 (c) -3 (d) 14 (e) -5\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431 (base 5) in base 13?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (9 - (26 + (0 + 1 - 11)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 3*d - 6*d**3 + 7*d**3 to m*d**2 + x*d**3 + o + s*d and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10, -5*o = -3*v - 50 - 1105. List 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 t(m) = m**3 - 4*m**2 + 4*m. Let u be t(3). Factor 12*r**3 - 2 - u*r**4 + 6*r**2 + 2 - 18*r**2.\nAnswer: -3*r**2*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8188933?\nAnswer: 29, 282377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 50 = -2*o + 92, a = -o - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 36, 298.\nAnswer: -2, 36, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 233982210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*x + 5*h, 0 = 4*x + 3*h - 23 + 102. Let m(s) = s**2 + 16*s + 11. Let g be m(x). Suppose 7*o + 1864 = g*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430103.4 nanometers in meters?\nAnswer: 0.0004301034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 2*i - 90, 841*b - 837*b + i = 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/2)*t**18*t**(2\/57)*t*t\/(t\/((t**(1\/15)\/t)\/t)) assuming t is positive.\nAnswer: t**(7753\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-80))\/((-2)\/(-130)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (-15 - (53 + -38 - -7))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/a**(1\/7))\/(a**(-5))**(-1\/11) assuming a is positive.\nAnswer: a**(493\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 40.\nAnswer: 31\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(10*o - 3*o + 2*o)*(0 + 3 + 6) in the form a + p*o and give p.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.1548515 - 0.1543315. Let p = 25.62 + 0.38. Let y = c - p. What is y rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23420 divided by -5\nAnswer: 4684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-188)\/(-8)*(2 - 4). Let s = 67 - 96. Let p = s - l. What is the greatest common divisor of p and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -286 + 286. Suppose q = -8*g + 18*g - 50. Solve -v = -0*v - g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*t - 11 = 4*w, 0 = -5*w - t + 93. What is the remainder when 110 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1\/2, 3\/2, 0.01, -0.11, -210, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + 16 = 0. Let f(a) = -861 + 431 + 5*a**3 + 430. Let t(o) = -5*o**3. Determine v*f(m) - 5*t(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3\/3 - 211*j**2 - 44521*j - 1108. Find h, given that w(h) = 0.\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 6*s + 15*s - s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48\/7 - -459\/70. Which is smaller: 1\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237000 divided by 20?\nAnswer: 11850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3 + 27084*m**2 + 1224477*m + 3429594 = 0?\nAnswer: -42, -3, 9073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 8*j + 2. Let o be -1 + (0 + 0 - -3). Let x be o\/(-2) - 18\/(-2). Let l be k(x). Solve l*t + 3 = -4*b - 5, -5*b + 5*t + 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 616529 + 616829 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Let r(q) = 9*q + 11 + 20*q - a*q + 7*q. What is the least common multiple of r(3) and 16?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3553504*n**4 - 2*n**2 + 0*n**2 + 3553520*n**4 - 3*n**3 - 3 to the form g*n + x*n**4 + v*n**2 + i*n**3 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/5 + -4\/35. Let k = 686 + -684. What is the smallest value in f, k, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**3 + 180*n**2 - 345*n + 170 = 0. What is n?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 2*q + 2752. Let h(n) = -n - 3. What is z(h(g))?\nAnswer: 2*g**2 + 14*g + 2776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -197457 and 19.\nAnswer: -3751683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20002124 (base 5) in base 8?\nAnswer: 461573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089543 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*p + 217, -336 = -3*g + 4*p + 341. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l, 4*n - 1 = -l + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2452, 3\/4, -290, 1, -1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {m: 1, v: 2, s: 1, q: 5, y: 5, l: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-85))\/(8\/(-10))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y - 37 = 94*y - 3*m, 99*y + 8*m - 40 = 55*y + 48*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 168283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527491, 1055069, 1582639, 2110195, 2637731, 3165241, 3692719?\nAnswer: 4220159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908753606.\nAnswer: 2, 137, 3316619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -50. What is the highest common divisor of 45 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 0*v + v)*(-49*v**2 + 4*v**3 + 49*v**2) + 2*v**4 + 0*v**4 - 5*v**4 to the form i*v**2 + p*v**4 + u + d*v**3 + s*v and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1278*n - 416777. What is h(326)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1143 in 0.5, 5, 1\/4, -4, 70?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 15. Let z be (18\/3 - f)*1. Suppose 33 = 3*t + z. Calculate the smallest common multiple of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2330*((-5)\/2 + -1). Let i = 14249 - d. Suppose -3*b + 24394 = i. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 37 = 7. Suppose -g*w = -7*w + 1020. List the prime factors of w.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 3, w: 1, l: 1, g: 4, o: 1}. What is prob of sequence ywgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 46*t**3 + 4*t**2 + 3*t - 33. Let n(f) = -57*f**3 - 5*f**2 - 4*f + 33. Give 5*n(l) + 6*s(l).\nAnswer: -9*l**3 - l**2 - 2*l - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:56 AM?\nAnswer: 569","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*o + 12 - 12)*(-3*o + 0*o + 0*o + (2*o - 4*o + o)*(3 + 2 - 4) + 63*o + 0*o + 25*o) to i + m*o + d*o**2 and give d.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 719, 1433, 2147, 2861, 3575, 4289?\n\"Answer: 714*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390.6 rounded to the nearest 10?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 34. Suppose -28*h + 24*h = 84. Let b be h\/5 + 4 + 594\/45. Give r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. What is the closest to -2\/7 in h, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 3959*q**2 + 4*q - 3829*q**2 - 3*q.\nAnswer: 130*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 129015?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5779033 >= -5779013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*s**4 - 58 + 58 + (-4*s**3 + s**3 + 2*s**3)*(s + 2*s - 2*s).\nAnswer: 41*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 10*d**2 - 7*d**2 + 5*d**2.\nAnswer: 2*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18821 + -18819. Solve -s*n + 4 = -2*a - 2*a, 3 = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-2 + 0 - -3)\/(2\/64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336729 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-123)\/2952)\/((-2)\/(-4)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*s - 11*s - 9, -3*i = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + ((-2*sqrt(13) + 1 - sqrt(143)\/(1*sqrt(11)))**2 + -5*(sqrt(13) + -2 + 2))*3).\nAnswer: -99*sqrt(13) + 1077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28713.958 + -68.042. Let l = -28794.873 - c. Let t = l + 13. Round t to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-2\/35)\/q))\/q)\/q)\/(q*q**(-9)*q) assuming q is positive.\nAnswer: q**(247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*a - 376*a + 66 = 0. Let s(j) = -10 + 9*j - 2*j + j. Does 13 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(153) + 0)*-3 - (0 + sqrt(153)*2 + sqrt(153)))**2.\nAnswer: -11016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1337168928 by -6.\nAnswer: 222861488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*f + 23, 5*g + 25 = 3*f + 6*g. Let c(r) be the second derivative of r**4\/6 - 5*r**3\/6 + 3*r**2 + 8*r. Is c(f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -7*w**5\/60 - w**4\/6 - 5*w**3\/6 - 107*w**2 + w. Let o(a) = -6*a**2 - 3*a - 4. Calculate -3*b(c) + 4*o(c).\nAnswer: -3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.7598 rounded to the nearest integer?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4840417.\nAnswer: 4840417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -599741 divided by 1161?\nAnswer: -599741\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 67. Suppose 0 = x - 80 + y. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 12, -996 in descending order.\nAnswer: 66, 12, -996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 6. Let f(x) be the second derivative of x + 0 - 1\/2*x**2. Let o = -61 - -60. Give o*k(q) + 5*f(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 14 - 4. Find the third derivative of -i**5 - 2*i**2 - 3*i**t - 11*i**4 + 11*i**4 wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 5*r + 30. Suppose 2*t - 4 - r = 0. Solve t*z = -5, -2*i + z - 2 = -3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 4 - 10. Put l, 3, 0 in decreasing order.\nAnswer: 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 19*v**2. Let m be (12\/14 + -1)*-7 + -3. Let k be 31 + -30 + 1*m. Give z(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.75 and -0.2.\nAnswer: -3.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -47. Let q = i - -68. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33956, -132392, -296460, -526166, -821516, -1182516?\n\"Answer: -j**3 - 32810*j**2 + j - 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.653149 rounded to one decimal place?\nAnswer: -60.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16 = -z, -5*f - 9 + 37 = 3*z. Suppose 0 = -4*i + 20, 5*l + 3*i = f + 20. Let u = 6 - 3. Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 14\/6) + (-10)\/(-3). Solve f*s - 3*s - 4*q = -9, -5*s + 1 = 3*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 7, a: 3, k: 3}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.0238.\nAnswer: 0.0952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-2)\/((-4)\/15). Which is the nearest to 1? (a) -1 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 24. What is the remainder when 41 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 191 - 143 - 112 + 366 - 3*h.\nAnswer: -2*h - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 6*u**2 - 6*u - 1. Let y be h(-7). Let d be (y\/5)\/(8\/(-20)). List the prime factors of d\/(-1)*(-3)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22778 - 61?\nAnswer: -227d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from ebpeeeeeeeeee?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -166768*y**2 - 2*y - 4290548 wrt y?\nAnswer: -333536*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/9*(4 + 10\/(-4)). Suppose r*c - 5*k = 1527, 4*k = -3*c + 1763 - 579. Let y = c - 196. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(78) + 1*sqrt(78) + sqrt(78) + sqrt(78)) - sqrt(78)) + -1*sqrt(78)*1)\/(sqrt(294)*1*-4).\nAnswer: 9*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.661 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from xbjfdid.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, 137, 611, 1, 4 in decreasing order.\nAnswer: 611, 217, 137, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:42 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 648444 - 1945822 + 648580 + 648563.\nAnswer: -m**2 - 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 17*t - 11. Let z be l(16). Suppose -z*i + 23 = -2. Solve 11 = -i*k - 4*w, 0 = 2*k - k - 2*w - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -52 - -3 - 9) + 16?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101111110011?\nAnswer: -101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -6*f. Let t(r) = -3*r**2 - 2 - 2*r + 4 - r**3 - 5*r**2. What are the prime factors of t(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 22. Let s be k(-9). Solve 6 = a + v, 3*a - s*v + 2*v = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104 or 633?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.229 - -19950.5?\nAnswer: 20212.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9468.297mg?\nAnswer: 9468297000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -24) + 0 + 5 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -8*u + 61 + 56 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.241 times 18.5972\nAnswer: -4.4819252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-153) + (-1 - (-685)\/765)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ae72013 - -1?\nAnswer: -ae72012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5346 = -5*f. Calculate the common denominator of -91\/110 and (f\/(-1100))\/(4\/5).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 956, 1883, 3152, 4757, 6692, 8951?\nAnswer: 11528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*i**4 - 2*i**2 - 2*i**3 - 9*i**4 - 9*i**4 + (-5*i**3 + i**3 + 3*i**3)*(0 + 2*i + 0).\nAnswer: -4*i**4 - 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 0*z + 0*z + (-24 + 24 - 2*z)*(6 - 8*z - 6).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + (-1900)\/(-32). Let p = -367\/8 - y. Let t = p + 93. Calculate the common denominator of -93\/20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4*v - 3. Let f be w(-3). Suppose 3*z - 6 = f, 4*g - 16 = 2*g - 5*z. Let h be (-1251 - -1)*(9 + g). What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 11*o**2 - 9*o - 8. Let y be (15 + -5)\/(2 - 1). Let a be i(y). Suppose -9 = -3*b + a*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:55 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 23\/2, 0.2, 13, -2.3, -99?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64147 and 100717?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 8935*k + 206041. Calculate q(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/70)\/(6*(-16)\/112).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d - 40676 + 14780. What are the prime factors of d?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1220212011221?\nAnswer: 1220212011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2491 - 2.\nAnswer: 2489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**3 + 3*v + 3. Let q be t(-1). Which is smaller: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-11)\/(o*o**(-1\/5)*o\/(o*o**(-7\/4))*o)*((o*o\/((o**(-2\/9)\/o)\/o))\/(o*o**(7\/5)))**4 assuming o is positive.\nAnswer: o**(-3287\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/20 + 5*n**4\/12 + 2*n**3\/3 + 7*n**2 - 305*n. Give w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-two thirds of a hour?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfffpjppfpffppffjrjp. What is prob of sequence jp?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0 + 0*f + 0*f**2 + 72\/7*f**3 + 3\/7*f**4 = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.2? (a) 3\/2 (b) 2 (c) 151606\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 146\/(-16)) + (-5)\/40. Suppose 0 = 14*q - 4*q - c. Is -0.126 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/11 - 5354*o\/11 + 32196\/11 = 0?\nAnswer: -2683, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1511 - -1582. Let b = -12 + 30. Calculate the remainder when p is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000721666593 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 45*b - 8 = 0, l - b - 9 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(1*sqrt(700)) + (2*sqrt(96))\/sqrt(8).\nAnswer: 41*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8290, 8292, 8296, 8302, 8310, 8320?\n\"Answer: y**2 - y + 8290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 536 = -3*i + 5*n + 539, -7*n - 3*n + 26 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058783108 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(1\/3)*w)**5*(w**(-1))**(-23))**(-4\/3) assuming w is positive.\nAnswer: w**(-436\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-6))\/((-1)\/(-2)). Let o(m) = -m - 3. Let j be o(l). Solve -5*k - j = -2*g - 3, 2*k + 5*g - 12 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 267. Let y = u + -156. Let p be (86530\/75 - 4\/10)*y. Round p to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -5, -6736, -6, -1 in descending order.\nAnswer: 6, 0, -1, -5, -6, -6736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 48 - 3 = 0. Let b be (-1)\/5*h + -1. Let d be (10 + -20)\/150 + (-4)\/((-40)\/(-6)). What is the biggest value in b, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + (8 - 0))\/(5*5\/813325)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:51 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 i when three letters picked without replacement from {y: 1, u: 4, j: 2, p: 1, i: 7, a: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 0. Suppose 0 = 5*g - 5*x + 35, g + 0*x = -x + 3. Let s(w) = -w**3 - w**2 - w. Calculate the remainder when m is divided by s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 8*r + 3. Let v be q(8). Let a be v - 1\/(-1) - -2. Solve h - 20 = a*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21422, 42456, 63550, 84734, 106038, 127492, 149126?\n\"Answer: 5*p**3 + 20999*p + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/11 - 82558712*n\/11 + 851992615887368\/11 = 0 for n.\nAnswer: 20639678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(3 + j - 3).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4688679*n**3 + 1452007*n.\nAnswer: -28132074*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 5*f + 17409647. Let n = f + -7409647. Suppose -k - n = k. Round k to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + 6*c**2 - 2*c - 18. What is w(-4)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o + 5*s - 81, -s - 3 = 0. Let i be 1\/(-3) - o\/(-18). Solve -3*h + 5*x + 25 = h, 25 = 3*h - i*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, -438, -35 in decreasing order.\nAnswer: 12, -3, -35, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162529 is divided by 767?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63054467383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*o + 160, -2*a = -4*a - o + 62. Suppose -4*h + 2*h = -a. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 31*c**2 + 3. Let w(r) = 600630*r - 600630*r + 8 + 93*r**2. Determine 8*m(p) - 3*w(p).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 151 - 67. Calculate the remainder when 305 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1354566452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 34*f - 6. Let l be s(3). Suppose 0*x - 3*x + l = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**12*x)**(-15\/4)*(x\/((x*x\/(x*x**(-19)*x))\/x))\/(x\/(x*x**(-8\/3))))**(1\/39) assuming x is positive.\nAnswer: x**(-821\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 43 - 17 = c, -2 = -v + 2*c. Suppose 0*l + v = 2*l. Find the third derivative of l*j**2 - 2*j**2 - 2*j**2 + 3*j**6 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/((-95220)\/(-2507)) - 4\/18 - 3\/9?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 7\/167, -14881 in decreasing order.\nAnswer: 7\/167, -0.5, -14881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 + -274. Let z = t + 280. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -41. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)\/d*d*d*d*d*d*d*d*d*d**(-13)*d*d*d*d assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5284685563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**2\/7 + 180*d\/7 + 375 = 0. Calculate d.\nAnswer: -35, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173065 is divided by 34612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1766, 1804, 1872, 1976, 2122, 2316, 2564?\nAnswer: 2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let l(f) = -f**2 - 7*f - 8. Let o(a) = -l(a) + 3*u(a). Let p be o(-9). Let h = 92 + -93. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(((j**(-2\/51)\/j)\/j)\/j)*j\/((j\/(j**(3\/5)\/j))\/j) assuming j is positive.\nAnswer: j**(1438\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 971*n**5\/30 - 7*n**4\/12 + 2*n**3\/3 + 7*n**2. Let m be x(-6). Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzqyzyqqyzllzlzyzzzz. Give prob of sequence ylyl.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - w**2 + w**2)*(-3*w**2 - 2*w**2 - 10*w**2) - 4*w + 4*w**4 + 4*w as q*w + p + g*w**3 + m*w**2 + z*w**4 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235 (base 7) in base 3?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u**2. Let a(c) = 4*c - 1. Let k(n) = n - 1. Suppose -3*w + 13 = 2*p, 0 = 5*w + 2*p - 0*p - 15. Let t(s) = w*a(s) - k(s). Calculate j(t(v)).\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 + 184\/(-6). Let s be (-2)\/(-5) + 132\/d. Which is the third biggest value? (a) 3\/7 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -801, -941, -1081, -1221, -1361?\n\"Answer: -140*r - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8317?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -605 + 650. Suppose -2*b - 1 = 7. Put 3, b, i in increasing order.\nAnswer: b, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234632521.\nAnswer: 17, 31, 431, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1122?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, p: 1, i: 1}. What is prob of sequence pe?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924521 and 114?\nAnswer: 5547126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10790 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6181, -8642, -11107, -13576?\n\"Answer: -2*t**2 - 2455*t - 3724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2. Let m(s) = 2*s**3 + 2*s**2. Suppose w = -x + 3, 0 = 2*x + 23*w - 24*w - 6. Determine x*f(j) - 2*m(j).\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:29 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34034650.\nAnswer: 2, 5, 13, 52361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 38\nAnswer: 35\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29817 + -29829. Put 12, 4, x in increasing order.\nAnswer: x, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 8, 18, 3.\nAnswer: 2, 3, 8, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62032 - 9329*s + 62032.\nAnswer: -9329*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + -62.6. Let i = x - -69. Put -4, 3\/4, 0.1, i in decreasing order.\nAnswer: i, 3\/4, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*d - 3*v + 2*v, 2*v - 2 = 0. Is 1\/d*(-4446)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olll when four letters picked without replacement from {l: 18, o: 2}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 + -8)*-19)\/1. Let p = n + -69. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2375848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c. Let v(s) be the second derivative of -s**4\/12 - 9*s. Calculate u(v(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 204.9\nAnswer: -3483.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/32*3*114\/(-189). Does g = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/3570987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -131018 at least -131025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 + -70. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 30. Suppose -4*h + 24 + 60 = 0. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 777, 1170, 1555, 1932?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*f - 32 = f, -3*r + 5*f + 32 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-24)\/(-360)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, r: 2}. What is prob of picking 1 r and 1 p?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -85*p + 294. Let b(n) = -85*n + 297. Let i(q) = -5*b(q) + 4*u(q). What is the first derivative of i(f) wrt f?\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201823 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**3 + 676*y**2 - 448*y.\nAnswer: -2*y*(y - 112)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*m**2 + 56*m**2 - 19*m**2 - 2*m**3 - 93*m**2.\nAnswer: -2*m**3 - 203*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(225)*-6)\/((sqrt(5) - (sqrt(5) + -1*sqrt(5)*1)) + sqrt(5)))\/((sqrt(9) - -2*sqrt(144)) + sqrt(18)\/(sqrt(2)*3)).\nAnswer: -9*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3245.365378 rounded to the nearest integer?\nAnswer: -3245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = -22, 0 = -5*f - 4*h + 180. Let c(b) = -b**3 + 5*b**2 - 5*b + 2. Let r be c(3). What is the greatest common factor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -18. Let o(j) = -j**2 + 16*j - 8. Is 8 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 308 + -307.9999989. What is h rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i**4 - 136*i**3 - 148*i**2 - 32*i + 16 = 0. What is i?\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/84*3\/(-9))\/((-10098)\/7854)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -20 + 4, -3*h = -r. Let v = -8 - r. Which is the biggest value? (a) v (b) -0.2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(34) - sqrt(34)) + sqrt(34))\/(sqrt(2) - 6*-1*sqrt(2)).\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/14, -1, 0.4, -1\/4, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:54 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 13, 120 in ascending order.\nAnswer: 0.2, 13, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)*a**9)**12 assuming a is positive.\nAnswer: a**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7760.585858 rounded to the nearest integer?\nAnswer: -7761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 919 = 26*p + 4*m, -p + 2*m + 927 = 0. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613634 (base 7) to base 6\nAnswer: 2124115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71293891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 131 - 146 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -411382, -411386, -411400, -411430, -411482?\n\"Answer: -w**3 + w**2 - 411382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5598124969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6774559147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -27, -37, -47, -57?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 0, -587, -1, 65.8, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 + 2*u. Let t be -2 + ((-14)\/(-10))\/((-14)\/(-70)). Give q(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5.891, 2\/7, 10 in descending order.\nAnswer: 10, 3, 2\/7, -5.891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:20 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 5 - 4 - 22.\nAnswer: -3*j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505482523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/905 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 806*g + 11820 + 2688 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2 + 5418*r - 5423. Calculate j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -27*u + 24*u - 15, u = -3*x - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 13. Let m be y(-8). Suppose 0 = 5*t + m*h + 35, -2*t + 2*h = -0 - 2. Let d = -1 + 2. Sort d, t, 3 in decreasing order.\nAnswer: 3, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4011.084024 to one decimal place.\nAnswer: -4011.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + (18 - (4 - -11)) + (-15 - -4) + 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 24*v + 308. Calculate d(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56 and 54.\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -777, -126689, 2 in ascending order.\nAnswer: -126689, -777, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - -44. List the prime factors of c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*g - 55*g + 765. What is the lowest common multiple of g and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069548 is divided by 11252.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7*k + 28 = 5*k, 5*k + 5 = -3*l. Solve 678 - f + 54*f + l*f**2 + 87*f + 302 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*y + 0 - 4*y + 0*y + 0*y + (y - y - y)*(-4 + 3 + 3) - y + 2*y + y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4356)\/77)\/((3\/(-7))\/3). Let u be ((-3)\/(-10))\/((t\/48)\/11). What is the nearest to 3 in u, 0.06, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 - 5*z - 4. Let c be u(6). Suppose -2*t + 47 = s + 8, -s + c*t = -31. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f*r*w**2 - 54*f*r - 9*f + 43393*r*w**2 - 4157*r + w**3 + 1 wrt w.\nAnswer: 8*f*r*w + 86786*r*w + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/6*(-1 - 2). Suppose c = m - 17. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(539)))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/12 + 71\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131597407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 66 = 90 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + 23. Let g = -12 + t. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/5 + 156*n**2\/5 = 0.\nAnswer: 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.5 + -6.6. Suppose 0*u = 4*u + 4*h, 3*h - 6 = 0. Which is the nearest to j? (a) u (b) -5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + t. Let c(j) = 5 + j - 12*j - 5*j**2 + 5*j + 6*j**3 - 2*j. Calculate -c(s) - 5*m(s).\nAnswer: -s**3 + 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m**3 + 1)*(-85 - 39 + 13).\nAnswer: -111*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 155173, 310336, 465499?\n\"Answer: 155163*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 6\/4*2)*-1. Let g(j) = j - 1. Suppose 2*w - 18 = -6. Let h be g(w). Solve t = -h - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*w - 11, 3*y - 2*w = -27. List the prime factors of y*((-70)\/(-2))\/(-5).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-51)\/(-136))\/(1314\/8). Which is greater: d or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13419\/(-231) + 25 + 14*(-12)\/(-154).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/(-50)*12\/81*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/40*-4*1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6070 - 6060) + (0 - (143 - -2)) - -10\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = 10. Suppose -4*n + 16 = 0, -p*c - c + 49 = n. Solve 6*d - d + c = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:37 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 2144*k**2 + 2148*k.\nAnswer: -4*k*(k - 1)*(k + 537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 63 + 222. Suppose -2*k + g = -36, -2*g + 32 = 28. Calculate the greatest common divisor of k and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 8. Let n be k\/28*21\/(-24). Which is the nearest to -4? (a) 4 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18*(-116)\/29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157\/7 - 771\/35. Let i = 1613\/19 + -85. What is the closest to -2 in i, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21129*s**2 + 384*s**3 - 21153*s**2 - 94*s**3)*(2 - 3 - 1)*(3*s + s - 2*s) as h*s**3 + z*s + g*s**2 + b*s**4 + d and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00791 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/4))**(-29)\/(y**15*y*y**(-1\/4)) assuming y is positive.\nAnswer: y**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3808, -44, 0.74, 0 in decreasing order.\nAnswer: 0.74, 0, -44, -3808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 420*t**2 - 13604*t + 177. What is l(40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 times -5\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.68324 + -5.7. What is v rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8740 - 1342. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 + 2*f**4 + 6979*f**3 + 48*f**2 - 1342*f?\nAnswer: 180*f**2 + 48*f + 41874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1521*35.29\nAnswer: 53676.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, 23 in descending order.\nAnswer: 23, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 20*h**2 + 8*h**2 + 10*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5*r - 3*r)*(2074*r + 1921*r - 1921*r).\nAnswer: 4148*r**2 - 4148*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1896*p**3 - 4*p**2 + 130*p - 13. Let n(l) = 474*l**3 - l**2 + 30*l - 3. Determine -6*f(v) + 26*n(v).\nAnswer: 948*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - ab2306?\nAnswer: -ab2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -36. Suppose -2*l + 264 + 192 = z. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 6. Let v be z(5). Let a be (-12)\/(-2) - (0 - v). Find the common denominator of 2 + (1106\/(-36))\/a and -79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3)*1)**2 - sqrt(21)\/(sqrt(21)\/sqrt(3)) - (-1*-3*(sqrt(3) + -6*sqrt(3)))**2.\nAnswer: -684 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -37, -71, -127, -211?\n\"Answer: -s**3 - 2*s**2 - 5*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*a = -7*a + 7, 3 = -3*a. Let x(r) = 2*r - 4. Let k be x(5). Calculate the least common multiple of n and 20\/3*k\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*p - c - 16 = -872*p + 437*p, -c = -2*p - 26 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181150 - -309929. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1087 + 1964. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -7*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 65. Suppose r*o = -2*o - 80. Let v(n) = n + 24. Is 14 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -5*h - 256. Suppose 254 + 1594 = 4*v + 17*v. What is the smallest common multiple of v and h?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.8115 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8*u + 1386 = 0. Suppose -2*a = -d + 33, 0 = 3*d - 10*a + 15*a - u. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0722575 to 3 dps.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 2:08 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 54 = h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*m - 162, d + 12 = -5*m - 42. Let u = d - -35. Put -4, u, 3 in descending order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 0. Suppose -5*h - q + 77 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/37899316 and 69\/11661328.\nAnswer: 151597264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j + 25. Let q be z(0). Suppose -h = -4*x + 13, 0 = -5*h - q. Solve x*w + 4 = n, -n - 4*w + 16 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20)*(-89)\/62478*-180?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12256*l = 12327*l - 3195 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:26 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -59. Let m be ((-247)\/38)\/((-2)\/4). Let z = m - 9. Calculate the least common multiple of t and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m**2 + 2. Let d(p) = 14*p**2 + 3. Suppose 0 = 3*t - 5*b + 31, -27 = t - 28*b + 23*b. Let f(a) = t*d(a) + 3*u(a). Let x(g) = -20*g. Give f(x(r)).\nAnswer: 800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/(-13))\/(2\/12). Let q be -8 - (-98)\/12 - 203\/i. Calculate the greatest common factor of q and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 + 2*w + 2. Let x(y) = 15*y**2 - 8*y - 7. Let o(u) = 22*t(u) + 6*x(u). Factor o(q).\nAnswer: 2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -3*v. Let j = 1 + -0.9. Which is the closest to j? (a) -3\/7 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5918 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwwwmkmkkmwrwhk. Give prob of sequence mmkr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 1 + 11. Let y be (-1)\/((1\/(-8))\/((-2)\/4)). What is the fourth biggest value in 0.3, g, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-17))\/(23\/((-345)\/330)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -354*r**2 - 3017*r - 24. Let p(g) = -589*g**2 - 5029*g - 40. Let z(d) = 7*p(d) - 12*w(d). Solve z(k) = 0 for k.\nAnswer: -8, -1\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7485*b**2 + 0*b - 14943*b**2 + 0*b + 0*b + 7471*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 + 27*h - 6. Let y(p) = -p**2 - 2*p. Give -i(g) - 5*y(g).\nAnswer: -g**2 - 17*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7049 - 6254. Calculate the remainder when c is divided by 272.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t + 11. Suppose -4*o + 65 = 5*w - o, o + t = 0. Suppose 16 + 2 = 3*b. Calculate the remainder when w is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + 0 - sqrt(17)))**2*3*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -6, -43, -88, -141?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13658814 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*x - 7 = 0, -z = -5*z - 5*x. Suppose z*t - 6*t - 399 = -5*w, w = -3*t + 83. Calculate the greatest common divisor of 32 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2 + 4797354*k + 52771136 = 0.\nAnswer: -11, 2398688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23648970 by 2364897.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/45 + 4\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492 and 252.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 192. Suppose -3*f + 5*a + 19 = 0, -2*a + 37 = 4*f + 3*a. What is the smallest common multiple of t and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfchhxrp. Give prob of picking 1 f and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 16. Suppose -4*z + 2*x = 0, -a*x = -3*z - 0*x - 14. Suppose -z*u = -11 - 15. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.202 to 0 decimal places.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 3 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = r, p - 3*r + 0 + 6 = 0. Suppose -3*c + b + 895 = 0, p*c - 362 = -5*b + 545. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4598, -4084, -3176, -1832, -10?\nAnswer: 2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/120 - 4*f**5\/15 - 2*f**4\/3 - 3*f**3 - 9*f**2. Let a be c(-15). Put 0, 1, a in descending order.\nAnswer: 1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdqa when four letters picked without replacement from qacuagqqdaudaaq.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 60. What is the second derivative of 4687 - 4687 - 73*c + d*c**2 wrt c?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2*d - 1. Determine u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 57\/26977?\nAnswer: 57\/26977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4)**(-4\/9)\/(m*m**4)**43)**(-2\/3) assuming m is positive.\nAnswer: m**(3902\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l - 5*o + 10, -o = -2*l. Let m = 0 + l. What is the closest to -1 in 0.5, m, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 3*v**2 - 8*v + 6. Let g(o) = -2*o**3 + o**2 + 3*o - 2. Determine 3*b(j) + 8*g(j).\nAnswer: -j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + 1*sqrt(325) + sqrt(325) - 3*(1 + sqrt(1573))).\nAnswer: -23*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-2)*2\/3. Let b be 3*k\/4*1. What is the greatest common factor of b and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*o - 5*y = 504*o - 6, -3*o + 8*y - 33 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 3. Calculate the remainder when (35\/2 + p)*2 is divided by ((-5)\/4)\/((-4)\/32).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:59 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19222 is divided by 19213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30149948.\nAnswer: 2, 1097, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + 2*t + 3. Let p be d(-7). Let b = -5 - p. Let j(s) = s**2 - 6*s + 4. Let r be j(b). Solve m + g = 4 - 3, -r*m + g = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250346\/223 or -1123?\nAnswer: -1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 14*m**3\/5 - 60624128*m**2 + 1640752228910262*m\/5 - 468786326372676\/5 = 0.\nAnswer: 2\/7, 10825737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 16023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -3*j + 9*j. Let t = j + 34. What is the remainder when 21 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/20 + 10*y**3\/3 - 3*y**2 - 345*y. Let a(k) = 38*k**2. Give n(a(c)).\nAnswer: 4332*c**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 20*w + 41. What is q(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 117705.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5827 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-476))\/((-1774)\/(-180948))?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -16 - 31 - (37 + -6)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57412629 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 967 - 24d?\nAnswer: 71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1440\/288)\/(((-11)\/(-44))\/(2\/60))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sppmpompo. Give prob of picking 1 o and 1 m.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 26 = -4*i - 4, 4*i + 28 = 4*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 560499793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259937 * -5140.\nAnswer: 1336076180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0, 57, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 99. Let q = v - -89. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o**2 + o**2 - o + 3*o in the form l*o**2 + d + a*o and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12928, 12938, 12962, 13006, 13076, 13178, 13318?\nAnswer: 13502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -72.7443 and -1297?\nAnswer: 1224.2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - (-26)\/4*(-21 + 23). Sort 2, b, -1, -13 in ascending order.\nAnswer: -13, -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4111 - -3?\nAnswer: -4108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 771.2873l?\nAnswer: 771287.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/(-55)*5). Let b = j - 17. Let i(n) = -n**3 - 5*n**2 + 6*n + 2. Calculate i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 6*i**2 - 16*i - 1. Let v(q) = 3*q**3 + 2*q**2 - 6*q - 4. Let z be v(-2). What is x(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/9)\/(19\/(-57)). Let o(q) = 1. Let j(t) = 2*t - 5. What is a*j(x) + 2*o(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.4350039 rounded to 1 decimal place?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 595026, 1190358, 1785688, 2381016, 2976342?\nAnswer: 3571666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 4. Let o(b) be the second derivative of b**3\/6 + 3*b**2\/2 + 8*b + 30. Give 5*m(q) - 6*o(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 3. Let s be y(3). Let p = s + 12. Let l = p + -20. Put l, -3, 3 in decreasing order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nannvvndaavadavamaf. Give prob of picking 1 f, 1 m, and 1 v.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*j**4 + j**3 - 39*j**2 - j.\nAnswer: -576*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/6)\/(-5))\/((365\/12045)\/(60\/11))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + 1 + 6 + l**2 - 7 in the form o*l**2 + d*l + f and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17656 (base 15) in base 11?\nAnswer: -51951","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 522 = -4*q, 4*q - 2*q - 526 = -5*l. Let k = l + -103. Calculate the remainder when 12 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, c: 1}. What is prob of sequence qqqc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 39907752*n. Let g(z) = -z**2. Calculate g(u(f)).\nAnswer: -1592628669693504*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*l - 136*l - 1056. Suppose 10*s - l - 4344 = 0. What is s rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose 3*p - 4*p + h*c - 5 = 0, 4*p + 9 = 5*c. Let r(y) = -3*y**3 - 2*y**2 - y. Let w be r(p). Solve -z = -3 - w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1066221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22062000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/(-118))\/((-14633)\/(-863347)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 5*h + 3. What is v(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-662)\/(-10))\/(131\/2620) and 4?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (21527\/(-836))\/(1\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -729, -750, -805, -912, -1089, -1354, -1725, -2220?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 7. Let t be a(4). Suppose 20 = t*y + 8. Suppose -3*h - y*l + 23 = 0, -h + 0*l = -l - 17. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6769, -6771, -6773, -6775, -6777?\nAnswer: -6779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 less than -1180\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 69 - ((-20)\/(-90) + (-70)\/(-9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253855 and 175?\nAnswer: 1269275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 + 4*r - 36. Let z be a(10). Solve -z*k = -4*i - 20, 5 - 19 = 4*i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5801059*o**2. Let u(s) = s. Give c(u(w)).\nAnswer: 5801059*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y + 18*y - 7*y**2 - 2*y**2 + 2*y to a + o*y**2 + f*y and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -86\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37148053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 19346956*n\/9 - 19346950\/3.\nAnswer: -2*(n + 3)*(n + 9673475)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0.1087, -0.3?\nAnswer: 0.1087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107465672?\nAnswer: 2, 19, 707011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 + 3. Let x = -1403\/6 - -233. Let o = -49\/30 + 2\/15. Which is the biggest value? (a) x (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2437 - 2496. Let t = 124 - 67. Let c = t + n. What is the second smallest value in 0.3, c, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaxxaaarckaaarxrc. What is prob of sequence crc?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 310 - -149\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 - 3*l\/7 + 10\/7.\nAnswer: -(l - 2)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96049, 198209, 300369, 402529, 504689?\n\"Answer: 102160*i - 6111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 8*l - 142. Suppose -17*t + 54620 = -l*t. Let x = -16074 + t. Round x to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*o + 160*o = 588 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h - 4. Suppose -4*l + 16 = 3*f, -5*f - 5*l + 0*l = -25. Suppose f*c - 11 - 5 = 0. Let k be j(c). Does k = -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, b: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22891524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -4.96?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -4*g + 12*p + 47, 5 = -5*g + p. Let b(r) = -r**3 + 4*r**2 + 4*r + 4. Let y be b(5). Put g, y, -5, 3 in ascending order.\nAnswer: -5, y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 equal to -231\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3213022 (base 8) to base 2\nAnswer: -11010001011000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*k - 68*k + 213 - 21 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 669.66?\nAnswer: 670.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -135515 rounded to the nearest one hundred?\nAnswer: -135500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0715*559.\nAnswer: 39.9685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-5 - ((-129840)\/(-1040) + -135).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631319 is divided by 59?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5199453, 10398914, 15598383, 20797866, 25997369?\n\"Answer: n**3 - 2*n**2 + 5199460*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 333*i = -329*i + 15, 3*u + 3*i + 2 + 28 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13894\/(-2)*-1 + -1. Suppose r = -2*k - 3*k + q, -5*k + 15 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 35233242223?\nAnswer: -35233242223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6019098160 to the nearest integer?\nAnswer: 77583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1525339 and -258 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 387771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**3 + 645*q**3 - 57*q**3.\nAnswer: 548*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3924 - -64.\nAnswer: 3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 3\/4 (c) 0.4 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48294765?\nAnswer: 3, 5, 357739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.27, 0.00101, -5, 5\/4, -0.3 in decreasing order.\nAnswer: 5\/4, 0.27, 0.00101, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211.7 + -211. Let h = -95.7 + 92. Let z = h + r. What is the second biggest value in 2\/11, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t + 3392 + 1733 = -1427. Calculate the remainder when 13413 is divided by t.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 5\/2 (c) 1.2 (d) -2\/7 (e) -16.202 (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.3 (b) 0.3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/(-4*sqrt(21)\/sqrt(3)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.237 + -14.763. Let v = -0.5 - -0.4. Does q = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 51. Let d = 2.33 + -4.33. Sort d, m, -1\/9 in descending order.\nAnswer: m, -1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266126 is divided by 64511?\nAnswer: 8082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876 and 337917?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 2*i + 3*i)*((0*i - i + 5*i)*(-2*i - 4 + 4) + 15*i**2 + 44*i**2 + 8*i**2) as h*i**2 + d*i + f + c*i**3 and give c.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 14 = -4*v + 4*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2412\/5025*1\/6*5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6776\/126 + (-4)\/(-18). Let w = j - 16. Let y = -34 + w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - 3) + 5 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 9*y + 6. Let u be b(6). Let d be -1*48\/9*u. Is d\/(-12) + (-2)\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000097365 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1433710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0) + -2 + 3. Let z(s) = -s**2 - 6*s. Let g be z(-6). Which is the second biggest value? (a) -3\/2 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = x - 37. Let j(q) = q**2 - q - 1. Let s(k) = 4*k**2 - 9 + 3 - 6*k + k**2. Let i(d) = x*s(d) - 6*j(d). Let p(c) = 8*c**2. Determine i(p(h)).\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 188 and 1.0379.\nAnswer: 189.0379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24605 + -24634. Let l = -664\/7 - -95. Which is the second biggest value? (a) l (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -36. Calculate the remainder when 115 is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15948323 greater than or equal to 15948318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 2*s + 0*s. Let z(t) = 64 - 7121*t + 3559*t + 3564*t. Calculate n(z(j)).\nAnswer: -2*j - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-77)\/(-14)) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - v - 6, 4*v + 2 = -3*b. What is the second derivative of -2*o - o**4 - o + o + b*o**4 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21128 is divided by 207?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q - 721 - 988 = -554. Solve -5*o - q = -11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 1.5 (b) -0.3 (c) -244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/19822541 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**5 - 10*s**4 + 2*s**3 + 4*s - 5. Let n(k) = -3*k**5 + 9*k**4 - k**3 - k**2 - 4*k + 4. Let w(d) = 5*n(d) + 4*u(d). Factor w(y).\nAnswer: y*(y - 1)*(y + 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/6 - 5*k**3\/6 + 3*k**2\/2 - 3*k + 200. What is o(7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208700 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 + -183. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 8*g - 3. Let f be i(7). Let u(t) = -t**2 - 2*t + 3. Let b be u(3). Let h be (-101)\/(-4) - (-3)\/b. Solve -h = -o - f*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 18974897?\nAnswer: 18974897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 739690?\nAnswer: 15533490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -40. Let i be ((-5)\/4)\/(n\/16). Which is the third biggest value? (a) -4 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 20*i**2 + i + 3*i**3 + 8*i - 4*i to the form q*i**2 + m*i**3 + j + p*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 75*y**2 + 5611*y + 40. What are the prime factors of z(-82)?\nAnswer: 2, 3, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192191553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 41*r - 42*r - 33 - 33. What is the tens digit of k(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 2. Let w(l) = 4*l - 268. Let c(b) = w(b) + 3*z(b). Let p be c(27). What is the highest common factor of p and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5 - 380*x**4 + 5365*x**3 + 32510*x**2 - 79620*x + 42120 = 0?\nAnswer: -6, 1, 26, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 12*t + 8. Let h = -57 - -67. Let v be r(h). Let u be -1440*(54988\/v - 1). Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -742, -1162, -1576, -1984, -2386, -2782?\n\"Answer: 3*o**2 - 429*o - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, x: 2, u: 1, q: 2, h: 1}. What is prob of sequence wl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/2394 and -1\/261.\nAnswer: 69426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g + 13. Let w(j) = j**2 - 9*j + 13. Let z be w(9). Is 12 a factor of q(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 9*y + 3. Let x be i(6). Calculate the lowest common multiple of 8 and 12\/14*1*x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2645*y + 72 = 2633*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1540 and 2387?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - b + 1. Let x = 1 - -1. Let w be v(x). Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1.7 (b) 0.02 (c) -0.5 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/11))**44*(t\/(t*(t*t**19*t)\/t))\/(t*t**(4\/17)*t))**(-3\/17) assuming t is positive.\nAnswer: t**(1338\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 10:22 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 402908823 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1866031*b*u**5 + b*u**3 + b*u**2 + 1198*b*u - 110*b - 8*u wrt u.\nAnswer: 37320620*b*u**3 + 6*b*u + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101100101011111 (base 2) to base 11.\nAnswer: 162583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 26*a**3 - 2*a - 2*a - 42 + 26 + 4*a to the form h*a + r*a**3 + o + t*a**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 268*j - 3315 + 14571 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 757659*x**5 - 17910*x**2 + 25*x wrt x.\nAnswer: 45459540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -44725018 < -44725019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 3*n - 22113*n**3 + 11066*n**3 + 11049*n**3 + n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27556395.\nAnswer: 3, 5, 1291, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959154 is divided by 1277.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let b = 53 + -51. Calculate z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20, -6\/7, -0.09, 6?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -28143.\nAnswer: 1\/9381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 85?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 times 4?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35748a (base 11) to base 16\nAnswer: -8a3f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let s(k) = 150*k**2. Calculate s(m(u)).\nAnswer: 150*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-138)\/12)\/((-5)\/60) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3*(-140 + -1))\/(183\/122) and 517?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1 (c) 3.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 77 - 5197*j + 162.\nAnswer: -5197*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + -5 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11*h = -15*h - 142, -3*v + 5*h + 433 = 0. What are the prime factors of v?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -91*o**4\/4 + 2*o**3\/3 + 394*o - 501. What is the first derivative of k(n) wrt n?\nAnswer: -273*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 19*f + 10. Suppose y + y + 4 = 0, 21 = 5*v + 2*y. Suppose g - 2*o = 12, -4*g + 41 = v*o - 7. Is t(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11755?\nAnswer: 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = -2*c + c, -4 = 2*c + 3*o. Which is greater: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 863, 1723, 2583, 3443, 4303, 5163?\n\"Answer: 860*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/(-6)*2805\/(-170).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 8. Suppose 0 = -a*s - 0*s. Let f = 19066 + -19093. Does f = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2752*k**3\/3 + 1856*k + 2305. What is the derivative of s(w) wrt w?\nAnswer: 5504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gznn when four letters picked without replacement from {t: 2, g: 4, n: 3, z: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -3, 4, -18, -2, -1826 in increasing order.\nAnswer: -1826, -18, -4, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1735 and -19349.\nAnswer: -21084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**3 + 0 - 11 + 5 - 6*l - 13*l**2 wrt l?\nAnswer: 54*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 8*u**2 + 9*u - 10. Let q = -31 + 38. Let l be f(q). What is the tens digit of (84 - 1) + -10 + l + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m - 1. Let t(d) = -726*d + 10. Determine 20*q(k) + 2*t(k).\nAnswer: -1352*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 61*g**2 + g + 6. Let l(v) = 855*v**2 + 15*v + 85. What is -85*c(n) + 6*l(n)?\nAnswer: -55*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + w - 6*w**2 + 0*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + b**2 - 2*b - 2 + 6*b - 2.\nAnswer: b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 21 = 3*r, 0*y + 3*y + 3 = r. Let n = r + 8. Suppose q + n*d - 485 = 0, -570 = 2*q - d - 1545. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-107)\/63 + 28\/224*(-72)\/(-63)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**18\/(b*b**2*b*b**(-2)*b))\/(b**1\/(b\/b**(-7)))**(2\/51) assuming b is positive.\nAnswer: b**(-1057\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 575 + -573. What is the smallest value in -3\/7, r, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -54. Solve -7*q + w*q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/2009 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 + 88*p + 2*p**2 - 85*p + 32 - 2*p**2 as a*p**2 + v + n*p + m*p**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimiiiimiiimimimii. What is prob of sequence iimm?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116925098893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 8)*(3*a**2 + 0*a**2 + a**2)*(-3*a + 5*a - a).\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58282763.\nAnswer: 7, 11, 756919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {q: 2, c: 1, d: 1, n: 1, h: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*z**5 - 24553703*l*z - 216829254*z**5 - z wrt z.\nAnswer: -20*l*z**3 - 4336585080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-3*w + 3*w - 2*w**5) + 21991973*w**3 - 1858*w**5 - 21991973*w**3 + w**2.\nAnswer: -1854*w**5 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 152. Let a(l) = -2*l. Determine r(a(v)).\nAnswer: -16*v - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-7))\/((-1)\/213*-9*(-84)\/(-63))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211880059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.5296 + 0.0204. Let k = -0.003 + 20.003. Let r = b - k. Round r to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451 + (-3 - -23) + -36 is divided by 213?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.07. Let h = c - -0.07. Are -3 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7712 and 92256.\nAnswer: 22233696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 8 = 14. Solve -5*i - 29 = l + s*l, 32 = -5*i - 4*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 + 5. Let j = -1113 - -1113.15. Which is the nearest to j? (a) 0.3 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161966?\nAnswer: 2, 7, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -356, -801, -1334, -1955, -2664?\n\"Answer: -44*u**2 - 313*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.056 + -0.193. Round w to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1495.6 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 - u**5 + 57 - 43 + (0 + 0 - 2*u)*(-5*u**4 - 4*u**3 + 4*u**3) + 9*u**5 - 3*u**5 - u**5.\nAnswer: 11*u**5 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18513051361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2 = -18. Let t be (-310)\/(-50) - 1\/v. Suppose 8*u = t*u. Which is the biggest value? (a) u (b) -1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/(-16)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**3 - 215*t**2 - 305*t - 4087. What is z(-35)?\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 2*b**2 - 2. Let j(w) = -9*w**3 + 19*w**2 + w - 5. What is -j(p) + 4*s(p)?\nAnswer: p**3 - 11*p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 + l + 12. Determine h(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -67. Solve -z = 6*k - k + 2*q, 2*q = k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*w**3 - 28727*w**2*y**2 + 47*w*y + 36135*y**2 wrt w?\nAnswer: 78*w - 57454*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -7. Which is smaller: r or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 13*w + 27552032. Let p be 11604032\/6 - 16\/12. Let j = p + w. Round j to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1089\/2 - 3\/2*j**2 - 186*j.\nAnswer: -3*(j + 3)*(j + 121)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 4*p - 3 - 11, 0 = 4*i + 159*p - 155*p - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -28*d**2. Let x(c) = c**2 - 49*c - 21836. Determine x(k(h)).\nAnswer: 784*h**4 + 1372*h**2 - 21836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -8*u + 13. Let w be (8 - (0 - u)) + 32. Let n be ((-4)\/6)\/(4\/(-6)). Is w != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 6*n - 15. Let f be g(9). Let m = -31 - f. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9079501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q**3 + 2*q**2 + 12*q + 8. Let f be k(-2). Calculate the common denominator of -4 + -4 + -1*846\/f and -129\/290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1584 and 16?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11287 + 3762 + 3763 + 3762 + 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 48992.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 941\/648 + 14\/81. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 72*q - 806. Let g be a(9). Suppose -2*l + 3*i = 3 - 11, 3*l - 12 = 4*i. Solve -g*f - d = l, -d = d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2462 and -1069.\nAnswer: -2631878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80109 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18836 and 154012?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -133, -187, -243, -301, -361?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121\/11 + 320\/(-30) + -5 + -2.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 27 + 39 = -4*s, 0 = -5*w - 3*s - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -53 (b) 0.03 (c) -182 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -11. What is the third smallest value in 2, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s - 3*w - 10 = 0, 3*s = -3*w + 30. Suppose 4*z = 3*z + s. Suppose 2*n = -0*n + 40. Calculate the highest common factor of n and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 33453?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*c**4 - 42*c**4 - 88*c + 148*c**2 - 24*c - 41*c**4 + 137*c**4 - 38*c**3.\nAnswer: 2*c*(c - 14)*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 plus 0.1104?\nAnswer: -19.8896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 20*t + 47. Let f be o(-10). Is -2 - 1 - (-1 + f) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84280 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 58*m**2 - 5*m + 253. What is r(58)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23680475 and 169?\nAnswer: 307846175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4956465 is divided by 381266.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17857125 times 0.2?\nAnswer: -3571425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 31929?\nAnswer: 31924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*s - 144, 0 = -0*s - s - y - 75. Let j = 153 + s. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/5)*p*p*p*p*p*p**(-2\/19))\/(p*p\/(p\/(p**2\/p)*p)*p)**7)\/(((p*p*((p*p*p*(p*p**(2\/9))\/p*p*p)\/p)\/p)\/p)\/p**(-1\/4)*p**2\/p**6) assuming p is positive.\nAnswer: p**(-27967\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from uxxummxex?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 325\/((-229775)\/(-4444))*14\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 123\/(-12) + 1\/4. Suppose o - 20 = -5*l - 3*o, 0 = 3*l + 5*o + 1. What is the least common multiple of a\/(-4) - (-1)\/(-2) and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226300 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-332)\/83*7\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 26. Let z = m - -246. Suppose -y - 4*i + z = 0, 0*y + 4*i = -3*y + 795. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106\/10 - 3\/5 and 456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -59, 12, 5, 4, -2, 31 in decreasing order.\nAnswer: 31, 12, 5, 4, 3, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 915, 1843, 3095, 4671?\nAnswer: 6571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16059460\/49 >= 327744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 - 3*p**2 + 3*p**2)*(-p + p - 2*p - 2).\nAnswer: -10*p**4 - 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802620.6mm to meters.\nAnswer: 802.6206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456653.\nAnswer: 456653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 5) to base 15.\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2173912 and -2173912 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*x - 13, 2*x + 5*n + 7 + 4 = 0. Let k(r) = -138*r. Let h be k(x). Suppose h - 39 = -5*s. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:29 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255.74 + -2.74. Let p = y + -255.27. Round p to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137407867.\nAnswer: 19, 227, 31859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868982591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*a + (-2 + 0 + 0)*(2 - 2 + a) - 2*a - 14*a - 89*a - a - 3*a + 3*a + (0 + 1 + 1)*(2*a + 2*a - 2*a).\nAnswer: -101*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 343 - 323. Suppose -l**4 - 1\/2*l + 0 + 1\/2*l**5 + l**c + 0*l**3 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r - 2*r + 26. Let t(y) = 5*y + 2. Determine t(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 106*l - 490. Calculate q(-110).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2*-2)\/1. Let c(w) be the second derivative of -w**5\/20 - w**3\/6 - w**2\/2 - 10*w. Let k(s) = s**3 + 3*s + 2. Calculate u*k(g) - 2*c(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -904 less than -20167151?\nAnswer: -20166247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 51. Let p be (-14)\/77 - 4\/(-22). Suppose 3*z - 3*k - 2*k - 31 = p, -k - 7 = -z. What is the third smallest value in z, b, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/2 (c) 144 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + h = -3*h + 122, 3*h = -4*l + 97. Suppose -6*v - 52 = -2*v. Let c = -7 - v. What is the smallest common multiple of l and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -1\/12*p**3 + 1\/4*p + 2 + 0*p**2. Factor f(v).\nAnswer: -(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 + 29500*f - 58984 = 0 for f.\nAnswer: 2, 7373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -16*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -11*o - 31. Let a = 17 + -12. What is the lowest common multiple of a and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**5\/100 + m**4\/15 - 2*m**3\/15 - m**2 + 69*m + 62. Let v(y) be the second derivative of i(y). Factor v(d).\nAnswer: -(d - 2)*(3*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 20 + 80 + 82)*(0 + 2 + 0)*(-18*q + 0*q - 31*q).\nAnswer: -13916*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31984, -31990, -32018, -32080, -32188, -32354?\n\"Answer: -2*h**3 + h**2 + 5*h - 31988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, -4\/155, -5, 2\/9?\nAnswer: -4\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 7*r**2 - 34 + 2*r**2 - 2*r**2 - 3*r**2 to the form i*r**2 + l + u*r and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*9\/2. Suppose 5*d - 11 = -l + n*l, d - 5 = -l. What is the derivative of 1 - l*k - 2 + k wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x - 20. Let y(w) = 17*w + 38. Determine -5*c(p) - 3*y(p).\nAnswer: -p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-1850)\/325) + ((-3)\/6 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/7 + 21792*m**2\/7 + 6986400*m\/7 + 568473856\/7 = 0?\nAnswer: -10568, -164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03824 and -14?\nAnswer: 0.53536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -414 - -1238\/3. Sort s, 2\/21, -30.\nAnswer: -30, s, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (100\/(-6))\/((-8)\/36). Suppose 3*q - 8*q + p = 0. Solve -5*z + q + 5 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 3481730.\nAnswer: 459588360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:25 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28906 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((6\/(-1))\/(-60))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*c**4 - 2*c**2 + 78*c - 8924?\nAnswer: 56*c**3 - 4*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 272?\nAnswer: -7\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003533 to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 9 + (-207)\/45. Let z = -0.199 - 6.751. Let k = -0.05 + z. Sort -0.5, k, p.\nAnswer: k, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 3*b**3 - b - 5821. Let t(h) = -h**2 - 18. Calculate t(s(n)).\nAnswer: -81*n**4 + 18*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-1.295704.\nAnswer: -0.03887112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*g - 10, -3*l - 3*g = -11 - 7. Let v be 32*(-2)\/4*-1. What is the greatest common divisor of l and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x + 58*x - 5*u = -3, -5*u + 58 = -3*x. Suppose -5*m + 15 + 9 = 3*b, -3 = -m. Suppose -z + b*z = -20. Is x != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -188 + 23. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -14*r - 36. Let f = -2 + 7. Suppose -46 + r = -d + v, 2*d - f*v - 59 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(1960))\/((6*sqrt(88)*-2)\/sqrt(11)).\nAnswer: 35*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.6205l to millilitres.\nAnswer: 226620.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38524 - 109106 = -14763*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31127 - -31120. Which is the closest to -0.3? (a) -0.3 (b) -24 (c) -4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k - 24 = 0. Let p = k + 17. What is the highest common factor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 29) + (14 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -125\/4*l**4 + 0*l + 0*l**2 - 103 - 22\/3*l**3. Find the third derivative of n(q) wrt q.\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3 - 0. Suppose b*z + 108 = 5*a - 17, a = -3*z + 7. What is the remainder when 42 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 21. Calculate the greatest common divisor of 64 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5916 + 5916.5. What is the third biggest value in 3, w, 125, 0, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000370176358 to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839063.082 rounded to the nearest 10000?\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmmmmfmmgmg. What is prob of picking 1 m and 1 f?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/38 - 194\/38?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 214 - 61 + 120)*(-3*k + 0*k + 4*k).\nAnswer: 308*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c - 20*c**2 - 31*c + c**3 - 6 + 0*c**3 + 0 wrt c?\nAnswer: 6*c - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 take away -3915.5349?\nAnswer: 3915.4569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.23292 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - -1212002201212?\nAnswer: 1212002201031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 - -73. Is 12 a factor of s\/18 + (-1)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41705650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 9, k: 1, l: 6}. What is prob of picking 1 l and 2 q?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**15\/j)\/((j*j**(1\/4))\/j)*j**(-2)*j*j\/j**(-4) assuming j is positive.\nAnswer: j**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 - (5\/5 - 0) - 6566\/(-268)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 9*c - 8*c - 1353, -2*c - n + 2721 = 0. Calculate the smallest common multiple of c and 453.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from yekykfeefvebevvvyeby?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 2. Let g be w(0). What is the third smallest value in 0.5, 1, -2\/9, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-15) - (-30)\/(-75). Find the third derivative of -5*r - 8*r**2 - 31*r**i + 6*r - 20*r**2 wrt r.\nAnswer: -3720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (4*(sqrt(17) + 0))**2)*1.\nAnswer: -272 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-18) + 8 + 584\/(-80). Let m = 535\/7 - 76. What is the third smallest value in m, k, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22361 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**6\/360 + u**5\/20 + u**4\/8 - u**3 - 1. Let o(h) be the third derivative of i(h). What is o(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 219 = -3*p, -5*m + 0*p = -2*p - 564. Let d(c) = 45 + 4*c + m + 41 - 29. What are the prime factors of d(0)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 17. Let i be u(-14). Find the second derivative of 17*m - m**i - 3*m**3 - 8*m wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116.3 + 125. Let d = x - 8. Do d and 1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 613105578 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s**2 + s - 3. What is the hundreds digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 40*j - 48*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -42. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10491031 to three dps.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2262 - 133. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27428257 or 27428256?\nAnswer: 27428257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 44*j - 234. What is u(38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/1072111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -75*a**2 + 44*a + 3. Let x(o) = -36*o**2 + 21*o + 1. Calculate 4*q(i) - 9*x(i).\nAnswer: 24*i**2 - 13*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(20)).\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 10. Let o(u) = 4*u + 31. Let j(k) = -2*o(k) - 7*y(k). Let z be j(10). Let i(g) = -g - 9. Let d(a) = -2. Give z*i(t) + 9*d(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -27925.\nAnswer: -1\/5585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -337394 or -38?\nAnswer: -337394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7708*k + 7754*k + 1702 = 0 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17413661 by -191.\nAnswer: -91171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, 5, 7, 2, 1130, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 53\/4 of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.1 - 22. Let i = 591 + -590.1. Which is the biggest value? (a) 4 (b) i (c) 1\/3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 10*d - 68. Solve -d*z + 20 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-42))\/(2\/(-7)). Suppose -157 = 2*i - t*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*y + 142*y - 17149 = -3*o, o = 5*y + 17143. Is y not equal to -3428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4680 + 7949. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + -4 + sqrt(68)*2*-3 + (sqrt(68) - (-1 + sqrt(68) + sqrt(68) + 2) - sqrt(68)))**2.\nAnswer: 96*sqrt(17) + 4361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 9 = 5*k - 7*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82149731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -3?\nAnswer: -115\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -32193102136212.\nAnswer: -32193102136207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 0.06. Let f = -9530.98999984 - -9531. Let q = i - f. What is q rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.6824 grams in tonnes?\nAnswer: 0.0000536824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + -31 + 11 + 2 + -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/279830 and -37\/10.\nAnswer: 279830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275691 is divided by 275408.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (40\/(-15) + 0)*(3 - 4 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 24*b**2 - 13*b + 6. Let x be t(9). Let j = x + -1097. Suppose 4*u - j = -4*o, -o - 199 = -2*o + 4*u. List the prime factors of o.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 + b - 1. Suppose 25 + 11 = 6*u. Let w(r) = -42*r**3 + 8*r**3 + 12*r**3 + 2*r - 3 - u*r**2 + 17*r**3. Determine w(s) - 3*y(s).\nAnswer: -2*s**3 - 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -34 + 7*k**3 + 8*k**3 - 204*k**2 + 11 + 6 + 209*k**2 - 3*k. Let d(o) = 5*o**3 + 2*o**2 - o - 6. Determine -17*d(h) + 6*y(h).\nAnswer: 5*h**3 - 4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -v + 388, -4*y - 130 = -2*v - 914. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 407?\nAnswer: 3\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -13. Let v = 0.18 - -0.02. Let f = -388 + 388.1. What is the third biggest value in v, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8658.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxapax. Give prob of sequence lpa.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2317622?\nAnswer: 2, 29, 31, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1449+0.873\nAnswer: 1449.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 4, 17, 46, 97?\n\"Answer: s**3 - s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:27 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 37 + 12 = 0. Suppose 20*u - 21*u = -b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235\/(-170) - (16\/(-68))\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + k + 2. Let v be u(-4). Suppose 32 = -4*x - 76. Let y be (-86)\/v - 6\/x. Solve y*l - 2 - 23 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 9. Let d be (-32)\/g - 78\/(-14). Suppose t = 2*x + 9, -4*x - 1 + d = 0. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 6. Suppose -m*i - 45 = 15. What is the units digit of (16\/i)\/1*-15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60365182 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-662)\/(-3)*(-24)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*m + 16 = 0, -m + 4*m - 19 = 4*w. Let l(p) = -72*p + 2. Let j be l(w). Suppose j = 5*u + 4. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*139597\nAnswer: -13959.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-14))\/(5\/((-105)\/(-72))) + (-185440)\/9728?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/2433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 32. What is the smallest common multiple of 14 and d\/(-5 - 45\/(-10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:16 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*b + 666*b - 8407*b**3 - 334*b.\nAnswer: -8407*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) 0.02 (c) 1\/4 (d) -378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.10002 * 13.894\nAnswer: 1.38967788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -48. Calculate the common denominator of 11\/h*(-20)\/8 and -121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 247?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -134, -735, -2046, -4337?\nAnswer: -7878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 76, 90, 108?\n\"Answer: 2*l**2 + 4*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -17. Let g = r + -11. Solve g*b + 12 = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17983, -17942, -17901, -17860, -17819, -17778?\n\"Answer: 41*t - 18024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1*(-2)\/(-6). Let q(i) = -i**2 - 4*i + l + i**2 - i**2 + i. What is the lowest common multiple of 2 and q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 26*h - 2234 = -1864 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Let i be x\/8 - 1\/12. Put -1\/4, i, -0.1 in descending order.\nAnswer: i, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081602 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1374 + 4.2209. Let r = -0.0835 + p. Let o = 6 + -1. Which is the biggest value? (a) 0.5 (b) o (c) r (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1320993018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l - 18. Let v be y(6). Which is the closest to 0.1? (a) 5 (b) -3\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 36575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -129518435 minus 702527?\nAnswer: -130220962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 621823831 - 308326376. Let s = -313497512.9999994 + j. Let y = s - -58. Round y to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.7816586 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -42 (b) -0.4 (c) -14 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 64794078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 35 = 18*c + 54 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -95 + 25 + 27 + 32. Let a(g) = 8. Let i(x) = 5*a(x) + 4*l(x). Let v(b) be the first derivative of -b**2\/2 - 3*b - 7. Give -3*i(y) + 4*v(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*p - 3, -4*p + 6*p = 5*u - 40. Let i be (-2)\/u*((-12)\/4 - -24). Which is the smallest value? (a) 5 (b) -1\/2 (c) 4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 4747805?\nAnswer: -4747820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 3, p: 3, z: 2, e: 1, g: 2}. What is prob of sequence pw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1472 and 13564?\nAnswer: 4991552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 + 5157940*x**2 - 134103928*x + 247576128 = 0.\nAnswer: 2, 24, 1289459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1452 and 0.5.\nAnswer: -1451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 107, 273, 505, 803, 1167?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.5, 58\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -10. Let q be ((-8)\/u)\/(-3 - -5). Let x(b) = -b**2 + 5*b. Let r be x(4). Solve 3*i - r = q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**6\/120 + a**5\/15 + a**4\/6 - a**3\/3 + 44*a**2. Let g = -957 + 955. Calculate r(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792 = -501*a + 11232 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -325\/483 + 1\/161. What is the second biggest value in 2\/11, -1\/2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4430392594 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-24 + 27)*2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 537 = 618 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076\/64 + (-219)\/(-1168)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 1\/6, -5.9, -0.2?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyhy when four letters picked without replacement from {h: 7, a: 1, y: 4, c: 6}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24110272009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 460\/8 - ((-1)\/2 + 1). Suppose -6*w + y = -69. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 13*o - 10. Let r be -6*((-8)\/12 - -2). Is n(r) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 11. Let g be x(-9). Suppose 0 = -g*a - 62 + 732. Suppose 5*m + 2*d - a = 0, 5*d = 4*m - 72 - 196. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:55 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 308 (base 10) to base 7\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(1584)*-2 - (-5*(sqrt(1584) + 1) - 4*-2*sqrt(1584))**2.\nAnswer: -14283 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 17. Let c = 7 - s. Solve 2*a + 1 = c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -104, -256, -464, -728, -1048, -1424?\nAnswer: -1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 81\/12 - 15\/20. Calculate the greatest common divisor of 54 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:34 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -66*z - 3832. Determine l(-57).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1780\/800 - 9\/(-24)) + -4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 210 + 103 - 21028902*n**2.\nAnswer: -21028902*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32\/7? (a) 359 (b) -0.3 (c) 5 (d) -180 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 212, 447, 706, 1001, 1344, 1747?\n\"Answer: 2*j**3 + 221*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 24\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.04 (b) 32 (c) -0.2 (d) -13 (e) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/77663 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0065 and 0.14217.\nAnswer: 0.000924105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/15 + 13*h**5\/10 - 11*h**4\/6 - 13*h**3\/3 + 12*h**2 + 1365*h. Factor u(y).\nAnswer: -2*(y - 12)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -23 (c) 0.67 (d) 4 (e) 0 (f) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 6, r: 2, d: 5}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388\/(-60)*-27*30 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 35 - 20 = -4*z, l = -3*z + 15. Let p = 36 - l. Let s = 27 - p. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t**3 - 10*t**2 + 69*t + 145. Calculate u(-2).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -14*b**2. Let r(y) = -10847*y. What is x(r(d))?\nAnswer: -1647203726*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22273453 divided by -19?\nAnswer: -1172287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/25 in 0.049, -1\/4, -0.5, -0.03?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25944 - 21588 + 22634)*(4*v**2 + 0*v**2 - 3*v**2) to g*v**2 + f*v + n and give g.\nAnswer: -24898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3572739 by -3.\nAnswer: -1190913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/3, -64575\/17, 2, -3\/4 in increasing order.\nAnswer: -64575\/17, -3\/4, 4\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27648 = -16*d - 16*d. Is d a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -46\/597713?\nAnswer: -46\/597713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a decade in months?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23273*n**3 - 39264*n**3 - 61276*n**3 - 110535*n**3.\nAnswer: -234348*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 1 - 3*w - w - w + 10*w + 3*w + w + 0 + 0 + (-1 - 2 + 2)*(1 - 1 - w) + 4*w - w - 5*w + 6*w - 2*w - 2*w - 54*w + 4*w - 13*w.\nAnswer: -50*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -3*q + 0 - 1\/3*q**3 + 0*q**2. Let f(i) = -i. Give g(f(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/9 + 16*h**2\/3 + 68*h\/3 + 208\/9.\nAnswer: -(h - 52)*(h + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-2*-4 - ((sqrt(66) - (sqrt(66)*1 - sqrt(66) - sqrt(66)))*-3 + sqrt(66)))\/(sqrt(6) + sqrt(24)\/sqrt(4)*-6 + (sqrt(6) - sqrt(216)\/sqrt(9))).\nAnswer: -13*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*u, 5*u + c = -3*c + 41. Suppose 2*y = -u*f - 77, 9 = -2*y - 3*f - 62. Let w = y + 32. Solve -3 = x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410042 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)\/sqrt(40) - sqrt(36)) + (sqrt(324) + -2*sqrt(324) - sqrt(324)))\/(-6*((sqrt(192) - sqrt(12)) + sqrt(12) - sqrt(12))*6))**2.\nAnswer: 169\/15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 17}. What is prob of sequence eme?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 351*v**2 - 104. Suppose j + 0 = 3. Let a(g) = -10*g**2 + 3. Let p(i) = j*y(i) + 104*a(i). Let t(n) = 3*n. Determine p(t(h)).\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*n*o**2 - 88*n - 1118*o**2 wrt n?\nAnswer: -8*o**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16234*y - 454556. What is w(28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpga when four letters picked without replacement from {c: 1, a: 1, y: 2, p: 1, f: 6, g: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24))\/sqrt(12) + (-1 + sqrt(8)\/sqrt(4))**2 + 4 + 3 + (-1*sqrt(300))\/((3*sqrt(72))\/sqrt(12)).\nAnswer: -8*sqrt(2)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4445334 (base 10) to base 3\nAnswer: 22100211212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/96280 and 67\/1688?\nAnswer: 20315080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15 - 21. Let p be (-5)\/((-10)\/o)*-3. Suppose z + 2*z = 27. Calculate the highest common factor of p and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 77?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 8*l - 1. Suppose 3 = 3*d + 2*s + 4, -3*d + 34 = -5*s. Suppose 35 = -4*a + v, -d*a - 5*v + 5 = 14. Give c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, 3, 0, 14197, 15, 0.3?\nAnswer: 14197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -6*g**3\/13 + 6221504*g**2\/13 + 4147672*g\/13 = 0.\nAnswer: -2\/3, 0, 1036918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqtw when four letters picked without replacement from qzzzwwwtzt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 3116564*o**2 - 607059139596*o - 607062256164 = 0. What is o?\nAnswer: -1, 389571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 + 0)*(2 + 3 - 4)*(-1 + 3*h + 1) + (10 - 9 + 12)*(2*h - 1 + 1).\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + a + 1. Let k(h) = 7*h**2 - 4*h - 7. Suppose 46*u + 10 = 48*u. Suppose -x + 6*x = -u*q + 20, -4*q - 2*x = -10. Give q*k(f) + 5*r(f).\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5497173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276640.\nAnswer: 2, 5, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/(20\/800). Which is smaller: k or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15705 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1650318*f*h*w**2 - 62*f*h*w - 439*f*h - f*w + 21*h*w**2 - 2*h*w - 21 wrt w?\nAnswer: -3300636*f*h + 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, a: 9}. Give prob of picking 2 c and 1 a.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2. Let g(j) = -3327237*j. Calculate q(g(k)).\nAnswer: 55352530270845*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 74 + 78. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, a: 5}. What is prob of picking 1 r and 1 a?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:14 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 262.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 take away 171444710?\nAnswer: -171444742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115954900 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16307, 17228, 18149?\n\"Answer: 921*k + 15386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 - 2*k - 2*k**3)*(k**2 - 3*k + 3*k) + 7*k**2 - 7*k**2 - 4*k**5.\nAnswer: -6*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 - 0.9. Let a = -7.2 - f. What is the third smallest value in 2, -3, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26901 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 4 - -3 - ((-2 - -31) + -23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j - j)*(2*j - j + 0*j) + j**2 - 3*j**2 - j**2 + 2*j**2 - 4*j + 4*j - 3*j**2 - 2*j**2 + 3*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76054197, -152108393, -228162591, -304216791, -380270993, -456325197?\nAnswer: -532379403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -93801*j**2 - 2 + 94131*j**2 + 1 + 1 in the form n*j**2 + y + d*j and give n.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1068b (base 15) to base 11\nAnswer: 3616a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/30 + o**2 + 202. Let a(f) = 353*f + 2. Give k(a(s)).\nAnswer: 249218*s**2 + 2824*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/6*(108\/150)\/(-9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 7*y + 6. Let i(k) = -7*k + 1. Suppose -2*l + 3 - 1 = 0. Let f be i(l). Let r be u(f). Which is the closest to -1? (a) r (b) 1\/4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*b*j*q**3 + 4651*b*q**3 + 2*b - 940*j*q**3 + 2*j + 7001308*q**2 wrt q?\nAnswer: -204*b*j + 27906*b - 5640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(16)\/sqrt(4))*6)\/(sqrt(16)\/(-1*sqrt(200) + sqrt(8))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396390 and 9774.\nAnswer: 3567510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-99))\/(4*(-2)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -947019 (base 10) in base 7?\nAnswer: -11022663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 s when four letters picked without replacement from {p: 12, s: 7}?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 3*n. Let q be (-30)\/n*(-4)\/6. Suppose q*k = 97 - 27. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:39 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (13 - 18 - -8 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3 - (-1 - (0 - 1)). Let a(z) be the second derivative of -w*z + 0 + 5\/6*z**3 - 5\/2*z**2. Differentiate a(q) wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 18)*2\/8. Suppose -3*n - 92 = -236. Suppose 0 = -m*a + 6*a - n. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18727 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -99560562.\nAnswer: -7\/99560562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -63. Suppose 0 = 2*x - 33 + m. Suppose a - 210 = -5*v, -a - 580 = -x*a - 5*v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**1)*t)**(8\/3)\/((t*t*t*t*t\/(t**(-7)\/t))\/t**(2\/7)) assuming t is positive.\nAnswer: t**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1. Let f(s) = 10. Let n(h) = -h - 29. Suppose 18 + 2 = 5*o. Suppose o*k + 24 = k. Let x(g) = k*f(g) - 3*n(g). Determine 5*j(q) + x(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195932, 195930, 195926, 195920, 195912?\nAnswer: 195902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*m - 59 = 0, -3*m + 2843 = 2*d + 2810 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275 + -273. Is i\/((-1345)\/270 + 5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzlzulzqluuzulyl. What is prob of sequence lzu?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 12*w - 7. Let t be 1\/(4\/(-14))*2. Let f be x(t). Suppose 2*z + 1 - f = -c, -2*c - 81 = -5*z. Calculate the remainder when 27 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 - 1 - 5*n**3 - 2*n**2 - n**2. Suppose -2*t - y = -32, -5*t + 10*t - 77 = -y. Suppose 5*h + i + t = 4*i, -3*h + 5*i - 9 = 0. Give k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 8*i**2 - 23*i + 25. Let z be x(10). Which is the nearest to -2\/7? (a) -6 (b) -2\/19 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 - ((-18624)\/84 + 13). What is the greatest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 1.2. Let d = -0.2 + 1. Let p = 0.2 + d. Which is the nearest to p? (a) 5 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 924522370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 7*w - 6*w)*(5 + 1 - 2)*(-2*w**2 + 0 + 2 + w + w**2) to v + s*w + m*w**2 + k*w**3 and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -422\/16917 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -13\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 + 2*t. Let p be (1 + (1 - 1))\/((-4)\/(-8)). Let o(m) = m**3 + m**2 + m. Give p*o(j) - v(j).\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 2242520?\nAnswer: -2242543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**2 - 257*b - 268. What is the hundreds digit of x(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/11286 and 27\/2.\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -171 + 51. Let i = 58 - p. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74545022 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 21704*y - 86880.\nAnswer: 4*(y - 4)*(y + 5430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1242 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n + 5. Suppose -3*d + 4*q = -1, -3*d - n*q = -2*d - 9. Suppose 2*v - 20 = -d*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2040 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -353 + 351. Put -5, 32, q, -0.4 in decreasing order.\nAnswer: 32, -0.4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193 - 189. Suppose 4*g + p - 3 = 4, -2*g = -p - 11. Suppose g*o = -m - 15, 4*o + 19 = -1. Solve 2*d + 9 + m = -3*h, -a*d + 5*h = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d - 159. Determine v(-22).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from elepfzeezpeppl?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 7*s**3 + 6*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*-5*(sqrt(153) - (0 + -1 + sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153))).\nAnswer: -24 + 225*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y - 64. Let j be t(-8). Let l be 20\/6 + 2\/(-6). Solve 25 = -j*m + l*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 17. What is the nearest to w in -5, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*(0 - 41\/13) and ((-41)\/(2050\/570))\/((-45)\/100).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y + 0 + 0*y**3 + 0*y**5 + 1\/150*y**6 - 1\/60*y**4 + 0*y**2. Suppose z(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*u - 5 = h + 104*u, 0 = -h + 5*u - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11196, -11199, -11204, -11211?\n\"Answer: -u**2 - 11195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -7, -18, -29, -40?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o**3 + 3*o)*(-409*o**2 - 1468*o**2 + 27*o - 920*o**2 + 26*o - 47*o).\nAnswer: -8391*o**5 + 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 0, 1\/33, 5\/6, -0.5, 4, 2\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7031*8\nAnswer: -56248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5\/9 - 10*v**4 - 208*v**3\/9 - 18*v**2 - 40*v\/9 = 0. What is v?\nAnswer: -20, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from rrmmrrr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 + 744*h\/5 + 6100.\nAnswer: 4*(h + 61)*(h + 125)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**2 - 3*z - 1. Let l(h) = -15*h**2 - 4*h + 2. Calculate 5*f(g) - 4*l(g).\nAnswer: -5*g**2 + g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (1 + -1))\/(-2). Suppose 3*g + g - 8 = f. Solve 0*j**g - 10*j**3 + j**4 + 7*j**4 - 2*j**5 - 2*j**3 - 2*j + 8*j**2 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32132 (base 6) to base 2.\nAnswer: 1000100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h - 6. Let f be b(1). Suppose f*w = -w + 11. Solve 11 = -3*d + m, d - 4*m = w - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4653, -3, 3, -2\/5, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f. Let w be o(2). Calculate the greatest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -275 (b) 0.5 (c) 134\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.78 - -0.22. Let m = 3371 + -3370.6. Which is the nearest to 2\/7? (a) -2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 - 58*t + 168. What are the prime factors of p(38)?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 6*t - 21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 2*k. Let h(u) = 1. Let b(y) = h(y) + q(y). Let s(x) be the first derivative of -2*x**3\/3 - 3*x**2\/2 - x + 2. Calculate 3*b(g) + 2*s(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o**2. Let h(p) be the second derivative of -328*p + 0*p**2 + 0 - 3\/4*p**4 + 0*p**3. Calculate a(h(t)).\nAnswer: -1377*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d + 151. Calculate c(-27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2\/9, 26\/209, -8, -2\/7?\nAnswer: 26\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 46*u**3\/3 - 15*u**2 - 35*u + 75. Is j(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 884504.\nAnswer: -1\/221126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 + 2*r + 10. Let p(u) = -2*u**3 - 7*u**2 + 3*u + 20. Let m(w) = -5*k(w) + 3*p(w). Let j be 4\/(-8) - (-1)\/2. Determine m(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 - 8. Which is the second biggest value? (a) -8 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -4 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3745 - -6792. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4154 - -369702\/89. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-7)*6\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 1, u: 4, r: 2, y: 1, m: 3}. What is prob of picking 1 p, 1 y, and 1 w?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 101 = -4*l - d, 2*l - 5*d - 83 = 0. What is the first derivative of l + 25 + 13*p**3 - 41 wrt p?\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 2*v**2 + 9*v + 8. Let r(x) = x**3 - 3*x**2 + 8*x + 9. Let t(h) = -2*q(h) + 3*r(h). What is the units digit of t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(120\/2 - 24\/6). Suppose o*g - 293 - 43 = 0. Suppose i + 3 + 0 = 0, -19 = -2*h - i. What is the lowest common multiple of h and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 9*w**2 - 8*w - 6. Let y be t(-9). What is the greatest common factor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 11.4, 0.02 in decreasing order.\nAnswer: 11.4, 0.4, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-32)\/(z\/z**(2\/15)))**29)**(1\/28))**5 assuming z is positive.\nAnswer: z**(-14297\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/4 - 29*q**4 - 5323*q**3\/4 + 2833*q**2\/2 + 2718*q = 0.\nAnswer: -36, -1, 0, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-128)\/(-12))*-4*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Suppose t = b + 4 - 12, -t - 26 = -z*b. Let h be 3\/b + 26\/(-4). Let p(v) = 2*v + 8. Determine p(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v - 27*v + 1188 = -31*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6423143 by -11.\nAnswer: -6423143\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1\/2, 3\/4, 26, 0.03 in increasing order.\nAnswer: -1\/2, -3\/8, 0.03, 3\/4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {j: 2, b: 1, x: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/39 or 1515?\nAnswer: 80\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 u, and 1 i when four letters picked without replacement from inniiduuni.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12665 (base 7) in base 6?\nAnswer: 23512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.089 - -22366322\nAnswer: 22366321.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -0.5, 5, -124, -31, -5\/4, 3\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 3, -20, 0.1 in descending order.\nAnswer: 3, 0.1, -5, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.8, 0.5, -2\/13, 36?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2337*n**4 - 491 + 49 + 2335*n**4 - 62*n**3 with respect to n.\nAnswer: -8*n**3 - 186*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/17 - 132*p**3\/17 - 432*p**2\/17 + 1188*p\/17 + 3726\/17 = 0?\nAnswer: -3, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -6\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.8. Let p = 0.2 + d. Which is the biggest value? (a) -3\/2 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = 6*u - 2*u, -3*u - 11 = 2*l. Let b = 76 - 50. Calculate the remainder when (-16 - l)*(-51)\/9 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -0.72?\nAnswer: -12.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -27031, 4, 5 in decreasing order.\nAnswer: 12, 5, 4, -27031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 629.42674 - 629.5. What is z rounded to 3 dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 + 0.6. Let r = w + -2. Let q = 1 - 0. What is the closest to q in -0.5, r, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 115*n**2 - 648*n + 186. Calculate o(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/(-9) + 4\/6. Let k = 8 + n. Suppose -8 - 37 = -k*c. What is the remainder when 27 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19942 divided by 2?\nAnswer: 9971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6341189\/78 - 81296. Calculate the common denominator of p and (-9 - 95\/(-6))*2\/(-23).\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 + -177. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -10. Let z(g) = 5*g - 12. Let m(y) = y - 3. Determine x*z(p) + 9*m(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(1\/6). Let p(h) = 15*h - 1. What is p(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 802, 789, 762, 715, 642, 537?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102697 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1010426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28780 + -4763?\nAnswer: 24018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -x + 2*x. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -3*y. Let i be (-1)\/2*(-2 - y). Suppose -39 = -2*t - i. What is the lowest common multiple of 12 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/5 of a hour?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17326556*r**4 - 1547584*r**2 + r.\nAnswer: 415837344*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 0 - 1479*g.\nAnswer: -1479*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 + z + 7. Let t be c(-5). Let x be t\/3*(3 + 0). Suppose x*b + b + 5*o - 27 = 0, 5*o = -4*b + 31. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12468\/11 = -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:19 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 8830\/9, 4, -69 in decreasing order.\nAnswer: 8830\/9, 4, -1\/4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b - 98. Let j be r(-22). Suppose -402 = j*l - 124*l. What are the prime factors of l?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2469, 5024, 7615, 10236, 12881, 15544, 18219?\nAnswer: 20900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**3 + 2*n + 1. Give t(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13165362*w**3 - 1100*w**2 + 57*w + 2 wrt w.\nAnswer: -78992172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:19 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 21*q**4 - 202*q**3 - 23023*q**2 + 14308*q - 2204 = 0.\nAnswer: -29, 2\/7, 1\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/90 and 7\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563, 2266, 5111, 9098, 14227?\nAnswer: 20498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583265 times 12.1?\nAnswer: 7057506.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000035 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/3, -0.5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5592930 is divided by 21026?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offofmfffofmmfof. Give prob of picking 2 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-2)\/(-14))\/((-20)\/140)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.62 not equal to -316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t*(t*t\/((t*t**(5\/2))\/t*t)*t)\/t*t*t*t))**(-5\/4) assuming t is positive.\nAnswer: t**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 29*c - 147 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 192*o + 1417. Calculate l(88).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 4. Let p be g(-7). Let f(y) = 3 + 0*y**2 + 0*y**2 - y - y**2 - y. Let i be f(p). Let w(r) = r**2 + r - 4. Give w(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -26*y**3 - 16*y**2 + 16*y + 16. Let h(c) = 4*c**3 - 5 - 3*c - 2*c**3 + 3*c**3 + 2 + 3*c**2. Give 16*h(i) + 3*t(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7041?\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8930 + 13*n + 8930 - 10*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1023 and 5547450.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -19.34 (b) 36 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3250.009 litres?\nAnswer: 3250009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -356*m + 5. What are the prime factors of p(-2)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(9\/2))*y*y**(-3\/7))**(-35))**(1\/27) assuming y is positive.\nAnswer: y**(205\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00097247 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 46. What is the remainder when 127 is divided by 30\/12 + 162\/l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4691, -9376, -14061?\n\"Answer: -4685*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:33 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 119041 (base 10) in base 7?\nAnswer: 1004026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:36 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k**2. Let o(d) = -2*d + 4. Let r(s) = 23*s - 184. Let q(w) = 46*o(w) + r(w). Determine q(a(j)).\nAnswer: -759*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 9, t: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45682 by -22841.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 3\/2, 176, -1 in ascending order.\nAnswer: -2, -1, 3\/2, 6, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 0.3. Let q be 4\/(-50) - (-2001)\/3450. Let a = -0.34 - -0.44. Sort o, 4\/7, a, q in increasing order.\nAnswer: a, q, 4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let u(v) be the third derivative of v**4\/24 - 29*v**2. Determine t(u(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**3 + 26*t**2 + 8*t + 3. Determine g(3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*s + 57 = -b + 353*s, 0 = 5*b - 7*s + 249 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (-3*sqrt(50))**2)*-3 - -4*sqrt(200)*-5.\nAnswer: -215*sqrt(2) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b + 8*b**2 - 41*b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20713, -41406, -62099, -82792, -103485, -124178?\n\"Answer: -20693*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14348 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(35))\/sqrt(7) - (sqrt(5) - ((sqrt(5) + 0 + sqrt(5))**2 + 5))).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 4, r: 4, i: 1, l: 1, g: 4}. Give prob of picking 2 d and 1 r.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n*n**(-4\/9)*n*n)**36 assuming n is positive.\nAnswer: n**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*n - 131, -5*o + 642 = -6*n + 3*n. Let m = 134 - o. Solve 1 = -4*q + m*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, f: 4, a: 1}. Give prob of picking 2 b and 1 a.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -32?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - ((-17 - -6) + 13 - -15)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-36)\/5)\/(27\/(-135))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a + 3. List the prime factors of s(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 392869.1\nAnswer: 39286.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 + j**4\/4 + j**3\/3 + 3*j**2 - 30*j. Calculate the remainder when w(4) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10192521 rounded to the nearest ten thousand?\nAnswer: -10190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 230476538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*g + 2 + 2 - 2*g - 2 + (g + 1 - 1)*(3 - 3 + 1) - g + 2*g - 2*g + 0 - g + 0 - g + 0*g + 0*g + 2 - 2 - g + 2.\nAnswer: -7*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 44*k. Let z(n) = -298776*n. Give z(v(c)).\nAnswer: -13146144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18092 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5429.377l to millilitres.\nAnswer: 5429377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2368062 * -17.8\nAnswer: 42151503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/252 and 151\/9936.\nAnswer: 69552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 13. Suppose q = -2*w + 5*w - t, -2*q - 2*w = -2. Let y be -4 + 4 + 0*6\/12. Is y bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 956293 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7)*-7)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:29 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-784)\/(-10) + 3\/5. Let m = a + -40. Suppose 13 + m = 4*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464952.6 millennia in months?\nAnswer: 5579431200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 3*x**2 - 2*x - 5. Let t be d(4). Suppose -22 = t*w - 64. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**3 + 21*x**2 - 30*x - 49. Let j(v) = 4*v**3 + 10*v**2 - 15*v - 23. Let u(t) = -3*h(t) + 5*j(t). Determine u(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110010000000001101100100 (base 2) to base 13\nAnswer: 293c46c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -1. Let q(y) = -4*y**3 - 4*y**2 - 2*y + 1. Let t(p) = p**3 + p**2 + p - 1. Let n(d) = q(d) + 3*t(d). What is the tens digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -1.8, 3, -3, -54, 5 in increasing order.\nAnswer: -54, -3, -1.8, 4\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -39. Suppose -2*j - g = -33. Suppose -j*w + 163 = -367. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 11. Let s(l) be the second derivative of -7*l**4\/6 + l**3 - l**2 - 20*l. Let w be s(k). What is w rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 - 33. Is 34 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-11) + (-42)\/(-231)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 256 = -0*j. Let b = -87 - j. What are the prime factors of 4\/(-16) - b\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4935 is divided by 822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + v + 24 = -3*v, 2*v = -5*p - 76. What is the lowest common multiple of (-66)\/4*p\/6 and 121?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uku when three letters picked without replacement from wqupjjwjwuukuuuj?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 37. Let a be ((-12)\/(-18))\/(-1 + z\/(-18)). Suppose a*b - r = 2389, -r - r = -4. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311.2 + 311. Let a be 6\/(-32)*4\/(-2). What is the fourth biggest value in -0.3, a, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/60 - 2*h**2. Suppose -5*p + 19 = -11. Let i(v) be the third derivative of -v**5\/15 - v**2. What is p*d(x) + i(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m - 14. Let p be r(-12). Suppose 0 = 6*d + 18 - 6. Let o = d + p. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/(g*g\/(g\/(g**(1\/10)*g*g)*g*g)*g*g))\/((g\/((g*g\/(g*g**5*g))\/g))\/(g**(-5)\/g))*((g*g**4)**49)**(-22) assuming g is positive.\nAnswer: g**(-54021\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7, 0.4, -245 in ascending order.\nAnswer: -245, -0.3, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-5) - 18\/45) + 154. Suppose -18*r + n = -9*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304471.\nAnswer: 29, 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**3 + 17*a**3 - a + 3*a**2 - 7*a**3 - 1. Let d be z(-3). Sort 1, d, 4 in decreasing order.\nAnswer: 4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012198386012 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:14 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 35*q**2 + 228*q.\nAnswer: -q*(q - 76)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261110?\nAnswer: 2, 5, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 + 150*o**4 - 10806*o**3 + 113544*o**2 + 260091*o + 135594 = 0?\nAnswer: -93, -1, 18, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + k - 2*k + 143887756363*k**2 - 143887756182*k**2.\nAnswer: 181*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 16904*w - 33798*w + 16894*w.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 451 + 0?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32022809.93 and -0.2?\nAnswer: 32022809.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92272, 94356, 96440?\nAnswer: 98524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 31*q**4 - 15. Let y(x) = -15*x**4 + 7. Let o(k) = -3*t(k) - 5*y(k). Differentiate o(p) wrt p.\nAnswer: -72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 168, 586, 1256, 2160, 3280?\n\"Answer: -3*q**3 + 144*q**2 + 7*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a factor of 837717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 110 = -5*z, 382*z + 52 = f + 377*z. Solve -b + 38 = 41, 3*n = -4*b - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -328173.883 to the nearest 10.\nAnswer: -328170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 14*j**2 - 15*j + 10. What is the tens digit of i(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s - 1. Let t(m) = -3*m + 3. Suppose -3*p = g - 2*p + 1, g - 2*p = 5. Suppose -8 + 2 = -2*y. Determine g*t(b) + y*i(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5505.823m in centimeters?\nAnswer: 550582.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqqqqqqqqq. What is prob of sequence qqq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 937635?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4360 - -7454. Let s = b - 2205. What are the prime factors of s?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1136*v**5 + 11350*v**4 + 205560*v - 61 wrt v?\nAnswer: -22720*v**3 + 136200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4077\/256851)\/(((-4)\/(-30))\/(4\/(-5)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45547.03 centuries in decades?\nAnswer: 455470.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10561.369 times 13\nAnswer: 137297.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * -44.\nAnswer: -10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + 8. Let a(c) = 15*c - 17. Let m = -1302 - -1289. Give m*o(v) - 6*a(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 3484771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*i - 21*i. Let g(n) = n**2 + 3*n - 4. Let b be g(-5). Let x be b\/(-27) - 29\/(-9). Put -10, x, i in increasing order.\nAnswer: -10, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and 0.61.\nAnswer: -62.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 3a6660a?\nAnswer: 3a6660c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 2*o**2 - 18*o + 27. Let g be k(4). Calculate the greatest common factor of g and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*j)*(1 - 1 - 1) - 2*j - 3 + 3 + (-30 - 5 - 7)*(5*j - 3*j + 0*j) - 3*j - 5*j + 5*j to s + o*j and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:16 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12 + (80\/12)\/1. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1465577273 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1433\/6 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197632446 a multiple of 5258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 846 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24006 + 309365 = 47*v. What are the prime factors of v?\nAnswer: 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2416942\/25 or -96678?\nAnswer: -2416942\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 305*q**4\/6 + 2*q**3\/3 - q**2\/2 + 115*q. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**4 + 2408*r**3 + 364800*r**2 + 720000*r = 0.\nAnswer: -300, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 + 62060544*f - 641918520262656.\nAnswer: -3*(f - 20686848)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13.448 times 0.14\nAnswer: -1.88272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5*(-80)\/48. Suppose -2*u = -4*u - 10, -5 = j + u. Let m = 0 - -1. Which is the second smallest value? (a) m (b) h (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 7. Let y be w(3). Let k = 4173 - 2803. Suppose -5*u = -j - k, -u - 3*u = y*j - 1096. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -481509, -10, 0, 2, 4 in descending order.\nAnswer: 4, 2, 0, -10, -481509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16953882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170260993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:06 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 356 - 355. Let z = -23 + 47\/2. What is the closest to j in 0.3, 0.016, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -8. Suppose -w*z = -20*z - 430. Suppose 3*t - 76 = z. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p**(-2))\/(p**2\/p**(-2\/15)) assuming p is positive.\nAnswer: p**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = 5. Suppose 0 = -2*w - 4, u = -b - w. Let d be ((-37)\/(-1887))\/((-2)\/(-17 + -1)). Is b at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -47, -130, -287, -542?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9447878 centuries to decades.\nAnswer: 9.447878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3823.442 + 3823. Round j to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 - 9*a + 2*a.\nAnswer: -7*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399 (base 12) in base 15?\nAnswer: 2ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 4*y - 2. Let d be p(-2). Let l = -4 + 9. Differentiate 2*u + d*u + 8 - 1 - l wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23598*t + 23631*t + 297 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by 11172\nAnswer: 68\/2793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 25, 12\/13, -41, 2\/3, -0.1?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w + w)*(3 + 0 - 1) - w - 1 + 1 + (w - 3*w + w)*(-1 + 1 - 2) - 14*w - 9*w - 3*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518944 divided by 129736.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*a + 79*a = 361*a - 74*a - 14972 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 37 - (-3 - (-6 + 12 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -19*y**3 + 2*y**2 - 5. Let f(q) = 56*q**3 - 6*q**2 + 14. Let r(g) = 4*f(g) + 11*k(g). Let j be r(-1). Let i = j + 66. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5159 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4528 - -11515. What are the prime factors of c?\nAnswer: 3, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/13*20\/4. Solve 0*v = s*v - 45 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -983*o + 1880*o - 1498*o as u*o + q and give u.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/7, 4, -0.2 in decreasing order.\nAnswer: 4, 9\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnokrrnrokrnkrr. Give prob of sequence okn.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**2*w*w*((w**(-7)\/w)\/w)\/w)**(12\/11)*(w**(-2\/7))**40*w**3\/w*w*w\/w**2 assuming w is positive.\nAnswer: w**(-1398\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 - i**3 - 4 - 4*i**2 - 10*i - 1. Calculate the remainder when 3 - 3\/3 - -44 is divided by c(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-144)\/(-28))\/(156\/18200)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 295 and -0.5.\nAnswer: 294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -93*y**2 + 31*y**2 + 28*y**2 + 28*y**2. Let i be ((-2)\/(-6))\/((-2)\/(-24)). Let s(x) = 2*x + x - i*x. Calculate v(s(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18bb1 - -1?\nAnswer: 18bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -4777.\nAnswer: -4780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -7. Let m = x - -23. Solve m = -0*g + 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55067227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9040433383 rounded to 4 decimal places?\nAnswer: -0.904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231795.3 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9838, -14338, -26554, -50344, -89566, -148078?\nAnswer: -229738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21 + -4 + 1953 + 11. What is g rounded to the nearest ten?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**3\/6 + 2*z. Let h be a(4). Solve 3*q - 3 = -0*q, -17 = -h*u - q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70\/1417 + -25343815\/15587. Let y = -1627 - m. Which is the biggest value? (a) 3 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97167542 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 20 = -7*m. Solve m*w = -16 + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 571*r + 699. Does 17 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010343 to four decimal places.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1609*x**2 + 1364*x - 1364*x - 260*x**5 wrt x?\nAnswer: -15600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*r + 2*r - 4, f = -4*r + 10. Suppose v + 5*w - 3 = f*v, -4*v - 4*w = -12. Find the third derivative of -v*u**2 + 2*u**5 + u**5 - u**2 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 3) + 1\/(-1). Let p be u\/6 + 25\/6. Solve 0 = -p*i + 8*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0*k**5 + 2\/21*k**3 + 1\/105*k**6 + 0 - 2\/735*k**7 + 0*k - 1\/21*k**4 + 61*k**2. Determine a, given that x(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -100. Suppose -y + 8*y - 35 = 0. Suppose -u - u = -y*o + 262, -2*o = u - 103. Calculate the greatest common divisor of o and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let t(a) = -a. Let n(j) = 2*j**2 - 3*j. Let z(i) = 2*n(i) - 6*t(i). Calculate o(z(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 3. Let h be t(-4). Suppose 0*r = h*r - 30. Let q be r\/(-15) + 9\/(-15). Put q, -3, 1 in increasing order.\nAnswer: -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5147461784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 29*k**2 - 193*k + 204*k - 119 - 71.\nAnswer: -29*k**2 + 11*k - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 423323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99*m**3 - 909012*m**2 - 2086595727*m + 126463686.\nAnswer: -3*(m + 4591)**2*(33*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 39480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*x + 54, 2*p = -2*x + 6*x + 30. Solve -p*l + 6*l = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160120 at least -160121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17490, -35631, -53800, -71997, -90222, -108475, -126756?\nAnswer: -145065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 327748660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*g**3*q**2 - 2795*g**3*q + 4*g*q**2 wrt q.\nAnswer: -106*g**3 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/534*(-624)\/(-624)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z - 788 = 2*a, 3*a - 573 = -3*z. Is z a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 858*j - 28442 = -7850 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 136407 (b) -9 (c) -4\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -137*m - 1663. What is w(-9)?\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/14243?\nAnswer: -2\/14243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.4 (c) 0.1 (d) 0.457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373909.\nAnswer: 7, 11, 43, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 43, 0.4, 7, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 6*y - 9 = -4*y + 3*y + t, -130*t + 129*t = -y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-35) + (-5)\/(35\/(-2))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 39. Let h be j(17). Suppose h*q + 5*z = 4890, -q + 968 = -0*q - z. List the prime factors of q.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 142, 212, 284, 358, 434?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -2\/19 (c) 307 (d) 6 (e) 4094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 3. Let t be r(-3). Let w = 12 - t. Solve 5*l + 2 = w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1174, -149, -0.55?\nAnswer: 1174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.53518 years in millennia?\nAnswer: 0.02153518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -20. Suppose y*k + 3*u - 12 = 18, 5*u - 35 = -2*k. Suppose k*q + 11 = a - 19, 2*q + 25 = 3*a. Put -8, -4, a, -3 in decreasing order.\nAnswer: a, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 - 0.9. Let f = 1.42 - d. Round f to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*o**2)*(25 + 8 + 82 + 22) as h*o + n*o**2 + x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169 - 326*i**4 + 162*i**4 + 0*i**2 + 116*i**4 + i**2 - 7*i**5 wrt i.\nAnswer: -420*i**2 - 1152*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84547.75 millennia in centuries?\nAnswer: 845477.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 9) + (-2 + 11 - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14580 by -10.\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s - 6 = 2*d, -s - 1 = d. Let w be (-3 - (3 - d))\/((-2)\/4). Solve 4*n + w = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60862 and 0.056.\nAnswer: -3408.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/11 and 4\/343879.\nAnswer: 3782669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from zkwjc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 213*a**2 - 654*a - 1252. Determine k(-216).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.2. What is the closest to -5 in w, -0.5, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 4\/3*h**3 + 0*h**2 - 1 + 0*h. Let m(g) = -9 + 9 + g. What is f(m(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/129*(-177)\/(-944)*-12*(-12)\/45?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + -3.06. Let g = 0.2 - 0.3. Let u = -0.3 + g. Which is the second smallest value? (a) 0.3 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -11*k**2\/2 - 2*k - 1. Let i(g) = 10*g + 2. Let n(l) = -5*l - 1. Let f(b) = -2*i(b) - 5*n(b). Give -9*f(w) - 4*s(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*o + 2205 = -328*o. Are o and 244 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6452.293 grams?\nAnswer: 6452293000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 - 1 - (-11 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62642913 to the power of 1\/2, to the nearest integer?\nAnswer: 7915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**(-1\/12)*(h\/h**0)\/h*(h\/((h**(-24)\/h)\/h))\/h assuming h is positive.\nAnswer: h**(1405\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4)*-2)\/(13 + -12). Let f(o) = 60*o + 14. Let j(k) = -1. Let w(b) = r*f(b) + j(b). Find the first derivative of w(p) wrt p.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Let m = -88 + 218. Suppose -4*l - l + m = -4*h, i*h = -3*l + 78. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 + 240*w + 1260 = 0.\nAnswer: -42, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12\/5, -4\/3, -18, -274?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419 + -342. What is the remainder when 229 is divided by c?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = -2*n. Let m = n - -2. Solve x + 2*z = 4, -4*x - m*z + 6 = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 12*r + 17. Let z(l) = -2*l. Calculate z(h(m)).\nAnswer: -4*m**2 - 24*m - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4*x - 37346*a**3*x + 463134*a**2*x wrt a?\nAnswer: -72*a*x - 224076*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + (-4 - -5 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 39. Let o = 32 - l. Sort o, 4, 2 in decreasing order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkry when four letters picked without replacement from ryyrkk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14634 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 74. Suppose -l*a + 688 = 198. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 773.4082l?\nAnswer: 773408.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -32*l**2 + 205*l - 1266. Give y(6).\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -3 (c) -0.2 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -20, -2 in ascending order.\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 7*a - 4. Suppose -21 = 5*i + 19. Let r be v(i). Suppose -5*x + 14 = 5*y - 106, 8 = r*x. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from klnittkl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 3*o**2 - 2*o - 4. Let x be b(4). Suppose -x*c = v - 2*v - 19, 21 = -4*v + 5*c. What is the lowest common multiple of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/16 + x**3\/4 + 3*x**2\/8 - 5*x. Factor d(y).\nAnswer: 3*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (126\/12)\/7*4\/(-3). Let b be (-16)\/(-6)*3\/2. Suppose o = 4*o - b*t - 18, 2*t = -3*o. Sort 1, o, u.\nAnswer: u, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152 + -5?\nAnswer: -3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 28*a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a = 86*a - 14*a - 1644 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 2 = 0. Suppose -i - 3*t + 20 = 3*i, i - 10 = -2*t. Let c be (-25)\/45 - i\/(-6). Which is greater: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 94*s**2 + 67*s - 90. Determine h(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1001)\/(-33)*(-12)\/8*2288\/(-7436).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let p(d) be the second derivative of -4*d**3\/3 + 361*d**2 - 574*d + 2. Give p(k(t)).\nAnswer: -8*t + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 55 + 0 + 4. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from lrlr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = -4*s, 2*s - 128 = -3*v. What are the prime factors of (v\/6)\/((-1)\/(-45)*5)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 5*c - 3. Let h(a) = 102*a**2 - 11*a - 36. Let m(u) = -47*u**2 + 6*u + 17. Let q(s) = 5*h(s) + 11*m(s). Give 7*o(y) + 3*q(y).\nAnswer: 7*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -914 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by -35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:22 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (45\/(-120))\/(11\/(-12)) and ((-158)\/(-8))\/(1 - 2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y + 41. Let s be j(-7). Let q = s - -8. Does q = -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(17 + 438\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 2, l: 1}. Give prob of picking 2 g and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/3591 + 393\/57.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/32)\/(3\/6). Let c(j) = -j**3 - 4*j**2 - 4*j - 1. Let n be c(-3). Let d(k) = 2 - 2*k**2 - n*k - 2 - 1. What is d(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.9. Let i be (-2)\/4*16\/(-44). Let h(x) = -x**2 - 36*x + 81. Let z be h(-38). What is the closest to t in z, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 252 in 2\/17, 0.1, 5, 0.2, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzi. What is prob of sequence zxi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -405 + 397. Let i(d) = -d**2 + d + 1. Let f(h) = -53*h**2 - 55*h**2 - 6 - 2*h**3 - 6*h + 116*h**2. What is c*i(j) - f(j)?\nAnswer: 2*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxhhkxkx. What is prob of picking 3 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -439, 1107, 2653, 4199?\n\"Answer: 1546*w - 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 35.08281573?\nAnswer: 35.58281573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1427.7 + 1424. What is the nearest to -1 in -2\/3, 11, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 51*s**2 - 696*s + 1387. Determine h(2).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*i + 101*i - 29248 = -459*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015538281 to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 7*y**2 - 4*y - 7. Let h be (-8)\/24*(-21 - 0). Let b(k) = -k**3 + 5*k**2 + 3*k + 5. Suppose -n + 5 = -0*n. Determine h*b(x) + n*t(x).\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.8? (a) -1.6 (b) -1\/600 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 855 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -24 - (-8 - -2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 26, -3, -5 in increasing order.\nAnswer: -5, -3, -0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-12)*360\/50. Suppose -a = q - 42. Suppose r + 0*r - 10 = 0. Solve m = 2*l - a, -m = m + 4*l - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5780*g**4 + 738*g**2 + 2*g + 5 wrt g.\nAnswer: -138720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2921, 3072, 3477, 4262, 5553, 7476?\nAnswer: 10157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.9, -2\/13, 1.7, -1, 278?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2810949 divided by 936983?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 76. Let x be (-12)\/(-3)*t\/4 + 10. Solve -25 = 3*l - x*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*g - 120*g - 2*g**2 - 7 - 35*g + 7 to b*g + o + d*g**2 and give b.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2388*k**2 - 1097*k?\nAnswer: -4776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 + -124. Which is the closest to 0.6? (a) f (b) 0.1 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2400 divided by -1200?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31760 = 1818*l + 26416 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24012 (base 6) to base 10.\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 + 36*x**2 + 84*x = 0. Calculate x.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -5*q. Let y(a) = 9*a. What is the least common multiple of (2*6)\/(104\/78) and y(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15076223 and 586.034.\nAnswer: -15075636.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1897, 1736, 1575, 1414?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419424273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 49 + 49 - 4*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 0) + (2 - 6) + -141 + 149?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1952 and 59\/72.\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.044 + 5.056. Let k = -6 + v. Round k to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24*36\/6*(-459)\/36.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -3*d**3\/2 - 7*d**2\/2 + 13*d. Let g(n) = -19*n - 15. What is -6*g(z) + 13*p(z)?\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 865411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/8 + 219045*p\/8 + 712023\/2.\nAnswer: -3*(p - 73028)*(p + 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 447*s**3\/2 + 5663*s**2\/2 + 2391*s. Differentiate k(t) wrt t.\nAnswer: 1341","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 253*b - 2. Let u(r) = -r - 3. Calculate -u(o) + z(o).\nAnswer: 254*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17363350.\nAnswer: 2, 5, 239, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**7\/210 - k**6\/6 + k**5\/15 + 2*k**3\/3 + 204*k**2. What is the third derivative of b(a) wrt a?\nAnswer: 24*a - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 31*w + 21. Let x(t) = 15*t + 12. Let n(v) = -3*j(v) + 5*x(v). Give n(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8 times -4.402?\nAnswer: -82.7576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126021 and 12.\nAnswer: 126033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4286200 by 42862.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**2 + 655*g**3 + 1 + 3641*g + 3644*g - 7286*g + 11*g**2 to the form h + b*g**3 + d*g + f*g**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 1016 + 6384 = 0. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59033130?\nAnswer: 2, 3, 5, 13, 37, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 514727.3ml?\nAnswer: 514.7273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3113*r**3 - r**2 - 3112*r**3 + r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 77*x**3 + 121*x**3 - 437*x**3 - 2*x**3 - 4 + 4 + (0*x - 3*x + 2*x)*(2*x + x**2 - 2*x) + 0*x**3 + 0*x**3 - 2*x**3.\nAnswer: -398*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -31*j**3 + 17*j**2 - 11*j + 13. Let c(f) = -15*f**3 + 8*f**2 - 5*f + 6. Determine 13*c(x) - 6*m(x).\nAnswer: -9*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 + 5*o - 3. Let x be 322\/(-42) + (-4)\/(-6). Let i(m) = 8*m**2 - 6*m + 3. Give x*w(a) - 6*i(a).\nAnswer: a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -153, -172, -207, -264, -349, -468, -627, -832?\n\"Answer: -s**3 - 2*s**2 - 6*s - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-960)\/56 - -3*(-23)\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 2.01. Let o = 2.062 - p. Round o to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, 19\/2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {y: 9, v: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:17 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 369 + 451 - 59 = 131 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 72*k**2. Let r(n) = 24*n - 1. Give r(o(w)).\nAnswer: 1728*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-68) + (-6)\/51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376003 is divided by 125330?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55037250 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*v - 4. Suppose v*o = q - 2*o - 91, 2*q - 152 = -2*o. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 99638?\nAnswer: 99637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 63. Which is greater: d or 3.78?\nAnswer: 3.78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 5*v + 17 = 2*i, -v - 5*i = -8. Solve 9 = m - v*w - 5, -2*w - 2 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256016053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(36)\/sqrt(192) + 0 + sqrt(3) + -5)**2 + sqrt(12)\/(sqrt(4) - -5*(sqrt(16)\/sqrt(4) - sqrt(4)))).\nAnswer: -475\/4 + 46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, 0.4, 0.3 in increasing order.\nAnswer: -2\/39, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4, 487 in increasing order.\nAnswer: -3, 3, 4, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 2\/3 (c) 0 (d) -2 (e) -289 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 3\/4, 4, 1\/5, -1, 14, 0.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 157*18\/(-99) - (-475)\/(-1045).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/(-30) + 6\/15. Let j(g) be the second derivative of -1\/16*g**2 + 0 - 1\/80*g**5 + 0*g**4 + 1\/240*g**6 + 1\/24*g**c - 6*g. Factor j(q).\nAnswer: (q - 1)**3*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*n + 469*n + 3*k = -472*n + 9, 8*n - 2*k - 44 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/5*d + 1\/5*d**2 + 0.\nAnswer: d*(d - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1023.82 + -1014. Let q = 10 - n. Round q to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + 0 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j - 300. Let y = 902 - 329. Calculate the remainder when y is divided by d(28).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 3*v**2 + 2*v + 3. Let g = 10 - 8. Let k(y) = y**3 + 2*y**2 + 6*y - 2*y + 0 - 5*y - g. Let o(z) = 2*a(z) + 3*k(z). Give o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = 2*v - 4, 3*x + 2 = 4*v. Suppose 5*p + 13 = 8. Let y(t) = 7*t + 5. Let b(n) = -n - 1. Let u(l) = p*y(l) + x*b(l). Determine u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:56 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 4*c + 12. Let q be s(2). Let h(x) = x**2 + x + 67. Is h(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 296865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/461 or 0?\nAnswer: -1\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383380969 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001 (base 4) to base 10.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10563b + -3?\nAnswer: 105638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525590 divided by 101706?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 3\/((-192)\/(-124)). Let g(n) be the first derivative of f*n**4 + 0*n**3 - 1\/8*n**2 + 0*n - 3. Solve g(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -2, -6, 3, -1 in increasing order.\nAnswer: -6, -2, -1, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*v**3*x - 8*a*v**2*x - 241*a*v*x**3 + 2*a*x + 2*v**3*x**2 + 3*v**3 - v + 2*x**2 wrt x?\nAnswer: -1446*a*v*x + 4*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let w(f) = 2*f - 266. Give w(z(l)).\nAnswer: -2*l - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18480*h**2 + 15241 wrt h?\nAnswer: -36960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3 + 4 + -2 + -1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62934\/(-5553)*((-4)\/8 - 4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/5)\/((-105)\/(-525))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**3)\/w)*w)**(4\/15) assuming w is positive.\nAnswer: w**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 153176 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 157? (a) -0.4 (b) 5 (c) 12 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 12*q**3 - 76*q**2 - 168*q + 64 = 0.\nAnswer: -2, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let p be (r\/(-6))\/((-3)\/2). Which is the smallest value? (a) p (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240 - 11552\/64)\/((-14)\/(-24)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14850*z**3 - 343*z + 343*z.\nAnswer: -14850*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/2 + 60*g**2 + 1597*g\/2 - 858 = 0.\nAnswer: -13, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6048548 and 1099736.\nAnswer: 12097096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**13*m)\/m*m**(2\/5))\/((m*m**(-2\/7))\/(m*m**(-10))) assuming m is positive.\nAnswer: m**(129\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i - 2*a, -4*i + 2*a + 2 = 0. Let g = 4 + i. Suppose 25 - 9 = q + h, q + g*h - 21 = 0. What is the lowest common multiple of 8 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1071 - -24?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 19740*s - 39454. Determine a(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 16, 1, -17 in increasing order.\nAnswer: -17, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 2*s - 1. Let u(a) = -a**3 + 22*a**2 + 3*a - 73. Let d be u(22). Let z(t) = -9*t**2 + 5*t + 2. What is d*b(h) - 3*z(h)?\nAnswer: -h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 2*h, u - 2*h + 5*h = 15. Suppose u*i + 36 = 5*i. Suppose 2*b + b = i. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 divided by 5?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -52, -85, -136, -211, -316, -457?\n\"Answer: -q**3 - 14*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85957743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.370569 hours to seconds.\nAnswer: 22934.0484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956288 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeerrernn. Give prob of sequence een.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19560 - 19564. Let j = 2 - 2.5. Sort -3, s, 4, j in descending order.\nAnswer: 4, j, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2947443257 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 1864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-264)\/52 + (-3)\/(-39) + 4399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612027?\nAnswer: 3, 13, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/127647 and 49\/52?\nAnswer: 510588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2588, 1809, 1030?\n\"Answer: -779*k + 3367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrorrorrrrrorrr. Give prob of sequence oo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 12*k + 5. Let m(n) = 3*n. Let f(z) = -15*m(z) + 3*r(z). Find the first derivative of f(w) wrt w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397 by 87.\nAnswer: 397\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 3. Let q(w) = -32*w - 420. Let r(a) = -q(a) - 6*y(a). What is r(-50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*2997\/(-1665)*(-4)\/(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46219 and 2.\nAnswer: -46217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/28 - (-318)\/(-14). Let a = -13 - u. Let v(g) = -42*g + 217. Calculate the remainder when v(4) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**2 + 2\/15*n**3 + 25 + 12\/5*n. Factor s(x).\nAnswer: 2*(x + 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 152.1 and 2734974309.\nAnswer: 2734974461.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45316298?\nAnswer: 2, 569, 39821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(((x\/(x\/((x\/x**5)\/x)))\/x)\/x)\/x*x**(-6\/11)*(x\/(x*x*x**(2\/9)))\/x*(x**4\/x)\/x*x)\/(x*x*x\/x**(-2)*x*x\/(x*x**(-5)*x))**(-37) assuming x is positive.\nAnswer: x**(35960\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3560*i - 14328. Calculate o(-4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 983262 and 6852.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-8) - (-4)\/16. Suppose -j*i + 3*u + 18 = -u, -5*u = -3*i + 24. Suppose i*o = -0*o - 1830. What is o rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 15) to base 11\nAnswer: -2787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**6\/20 + 9*u**5\/4 - 57*u**4\/8 + 7*u**3 - 202*u. What is k in j(k) = 0?\nAnswer: 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61038 - 61037.70827. What is l rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (6 - (21 + -5)) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chzhdchchzas. What is prob of sequence hdcd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/180 - v**5\/24 - 5*v**4\/24 - 7*v**3\/6 - 16*v**2. Let h(o) be the first derivative of m(o). Give h(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/689 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**4 + 74*y**4 - 13*y**4 - 2*y**4 - y**2 + y**2 + (-3*y**3 - 4 + 4)*(-y - 3*y + 2*y) + y**4 + y**4 + 0*y**4.\nAnswer: 60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 4*y - 2*y**3 + (-4*y + y + 2*y)*(2*y**2 - 2*y**2 + y**2) - 2*y**3 + y**3 + 0*y**3 + 150*y**3 - 65*y**3 - 61*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 2*b + 30. Let j(k) = k**3 + 8*k**2 - 48*k + 6. Let u be j(4). What is v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/35, 2\/3, -1\/4, 4?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*y - 4, -3*y = -3*a - 0 + 6. Suppose 3*f = 2*f - 5*i + 17, -a*f - 3*i + 17 = 0. Suppose -10 = -f*b + 4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmcc when four letters picked without replacement from omcoommmcmcoo?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256458364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*t + 15 = -5*m, 6*m - t = -33. Let d(y) = y**2 - 34*y - 129. Calculate the lowest common multiple of 21 and d(m).\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, 1\/4, -2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -114, -223, -386, -621, -946?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/21)\/((-2)\/14). Let y(s) = 4 - 10 + 9 - s + 1 + 1. Determine y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 47*u**2 + 3*u + 7. What is the tens digit of b(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 96*h + 18515. Give g(-203).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*r**3 - 5702*r**2 + 21418736*r wrt r.\nAnswer: 528*r - 11404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 138*u**3 - 2*u**2 + 138*u.\nAnswer: 2*u*(u - 69)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + 8\/12. Let h be -3 + 6 - (3 - d). Let q(r) = -r + 481. Is q(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 92*d**4 + d + 3*d - 98*d**3 + 84*d**5 + 12 - 104*d**2 + 10*d**3 = 0. What is d?\nAnswer: -1, -3\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -34168594.\nAnswer: -9\/34168594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1209*d**2 + 601*d**2 + 604*d**2. Suppose -5 = -0*v + v - 2*i, -v = 3*i - 15. Let c(q) = 2*q**2 - q**2 + v*q**2 - q**2. Calculate c(b(r)).\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = -4*l, 5*x = l + 21 + 6. Let c be l - (-3 + 2) - 0. Let n be -2 + (1 - (c + 0)). Solve -3*o + 14 + 1 = n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Suppose 31*t - 2 = 2*i + 34*t, 0 = -4*t - 8. Let p(j) = 22*j - 1. Calculate i*u(v) + p(v).\nAnswer: 24*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/6 + (-1510)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -101111110101101100011?\nAnswer: -101111110101101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) 1\/6 (c) -0.09 (d) 0.4796 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161 + 242. Let a = l + 21. Let t = -89 + a. Calculate the remainder when 36 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -4 (c) -15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/5)*((x\/(x\/(x**11\/x)))\/x)\/x*(x*x\/(x*x**(-4\/5)))\/((x*x*x**1*x*x)\/x) assuming x is positive.\nAnswer: x**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 54*l + 28*l + 4*o + 29 = 0, 0 = 4*l - 12*o - 108 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0581 - 0.058098695. Round k to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -3*i**3 + 0 + 5\/8*i**4 - 1\/40*i**6 + 0*i + 9*i**2 + 1\/10*i**5. Factor l(c).\nAnswer: -3*(c - 3)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27399308951087 and 5.\nAnswer: 27399308951092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-1) + 1 - 2. Let w = 61 + -55. Let h = w - r. Sort 0, h, -1 in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1897252103 and 4451.\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2191716*h**5 - 4507903*h**2 wrt h.\nAnswer: -131502960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u**2 + 1 + (19*u - 349 + 349)*(3*u - 4*u + 5*u))*(-u + 4*u - 5*u)*(-2 - 2 + 3).\nAnswer: 156*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 3 + 2 + 14 - 2*y to the form a*y + s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose j*v = -v - 109. Let b = -72 - v. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(33)\/(-3*1*sqrt(11)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25400 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + 1 + 6*x**3 - 12*x**2 - 5*x**3 to the form b*x + r*x**3 + h*x**2 + g and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 296460 divided by 10980?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*i - 30, 189*b - 186*b - 4*i - 29 = 0. Suppose -o - 3*w - 13 = 0, 0 = 3*o + 3*w + 9. Calculate the remainder when b is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-5))\/(7\/35) + 1. Let r be (4\/8*1)\/(b\/14). Let j(x) = -6*x + 6 - x**2 + 4 + 1 - 4. Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*q**3\/10 + 1525*q**2\/2 + 4654*q\/5 + 846\/5 = 0. What is q?\nAnswer: -846, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*i + 2*q, 4*q = 5*i - q - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870834122 + 870834122 - 11*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-15)\/(-9))\/((-6)\/(-18)) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-16) - (43\/(-4) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = l + k, -7*k + 4*k - 12 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 + 3*v + 58. Calculate y(-6).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 - 3 = 0, 0 = 3*m + 4*r - 18. Let p be (1 - 0)*(m + 4\/(-4)). Is 1\/3 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43685 - 87471 + 43691 - 21*h)*(0 + 0 - 1).\nAnswer: 21*h + 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15403659\/151640 + 22740\/223. Let c be 6\/68*(-1)\/12. Let d = l - c. What is the closest to d in -3, -1\/9, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -35*v - 19*v + 24*v - 1824 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638301.\nAnswer: 3, 263, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005672 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*p + 4*p = -60, 2*s + 5*p = -126. Let x = s - -71. Solve x*o + 3 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 28 = -9*t. Suppose 3*m + t*v = -0*v - 16, -5*m - 8 = 2*v. Suppose m = -5*b + 11*b. Solve b = -2*y + 2 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7378, 7377, 7376, 7375, 7374?\nAnswer: 7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35339271 to the power of 1\/3, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 14220.49 grams?\nAnswer: 14220490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-8) - (7 + -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.8. Let g = t + 0.1. What is the third biggest value in -4, g, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4607666 + 4?\nAnswer: -4607662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/6 - 1913*j**4\/6 - 177047*j**3\/2 - 12134961*j**2\/2 - 38748690*j - 32769414 = 0. What is j?\nAnswer: -123, -6, -1, 2166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4208\/(-57860))\/(32\/(-15) - -2)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 3*s**7\/14 + 3*s**5\/20 + 2*s**3 - s**2\/2 + 7*s + 3. Find the second derivative of z(a) wrt a.\nAnswer: 180*a**3 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 17. Let t be u(11). Find the second derivative of -33*q**4 + 33*q**4 + 7*q + 2*q**t wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128339 (base 11) in base 6?\nAnswer: -4152202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = q + 4*r, 32*q + 35 = 27*q - r. Let c(d) = d**3 + 5*d**2 - 13*d - 42. Calculate c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(0 - 1 - 0). Let t(m) be the first derivative of m**4\/4 - 2*m**3\/3 - 3*m**2\/2 - 5*m + 41. Is t(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 15 + -34 + -1 + 0 + (2 - -9)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 34 - 34 + 0*y**2 - 4*y - 4*y**2. Let j be b(-3). Is (j\/12)\/((-9)\/(-2124)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:46 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.16 times -0.096375\nAnswer: 0.111795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.96964 millilitres to litres.\nAnswer: 0.00996964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 + 4 = 0. Which is the closest to -4? (a) 5 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 14. Let y be (-1)\/(-4)*-2*(1 + p). Suppose 9*c - 7*c - 246 = y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 302 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.03, 1.4, 0.1, -15 in decreasing order.\nAnswer: 1.4, 0.1, -0.03, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 285, 454, 657, 906, 1213, 1590, 2049?\nAnswer: 2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9*a - 19*a**3 + 17*a**3 - 7*a + 5*a**2 in the form f*a + w*a**3 + x*a**2 + k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 27 (b) -3 (c) 1\/15 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1 + -1))\/(10\/20). Are -3\/352 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5151 and 358496.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 24*y = 104. Suppose -3*x + y*c = -1278, -x + 5*c = 16 - 442. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9120 and 514050.\nAnswer: 156271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/815 - -20371\/1630. Let p = -13 + d. Let l = 0.03 - -1.97. Which is the closest to p? (a) -2 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252))\/(sqrt(9) + sqrt(36)*2) - ((sqrt(686)*2 + sqrt(14) + sqrt(14))\/sqrt(2))**2*4.\nAnswer: -7168 + 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58670976 by 364.\nAnswer: -161184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -847.49+-0.11142\nAnswer: -847.60142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1)\/sqrt(12) + sqrt(7) + (sqrt(224)\/sqrt(8))**2.\nAnswer: 2*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 30*m - 1 + 9*m - 32*m as h*m**2 + c*m + j and give c.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -749, -2511, -5945, -11609, -20061, -31859, -47561?\nAnswer: -67725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3 - 0)*1. Suppose v + 4*v - 20 = p. What is the greatest common factor of v and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide -1 - -7 - (-50 + -1088)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 22*q + 1140. Give p(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 292?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46449 and 2808.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2650 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2192134 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 + 82*d**2 - 11*d - 98. Let t(k) = 2*k**3 - 27*k**2 + 4*k + 33. Let h(i) = 8*t(i) + 3*x(i). Let h(n) = 0. What is n?\nAnswer: -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054 - -29540?\nAnswer: 29540.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 3 - 1546*v + 1 + 1539*v + 20*v**2 - 3 to the form g*v**2 + x + n*v and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -64. Let l be (x\/(-36))\/((-3)\/20). Solve 9 = -l*s + 3*g - 0*g, -4*g + 12 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -43*b - 43*b + 84*b. Let k(n) = 6*n**2 - 5. What is k(i(w))?\nAnswer: 24*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 186873970 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Solve -5*n + 5 = -f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4321*k = 3161*k + 87000 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 2, a: 2, r: 8}. What is prob of sequence rm?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 47 = -10*k. Solve 3*x - 2 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-40) - 839\/(-8)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(11\/4))**(-1\/69)\/((r**(1\/3))**(7\/4)\/(r**(-1\/4))**(-2\/9)) assuming r is positive.\nAnswer: r**(-71\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1231612*o**2. Let i(w) = 3*w. Determine c(i(x)).\nAnswer: 11084508*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*q = 28, 2*q + 59 = -3*m + q. Let k be (1 - 0)\/(1\/m). Let n = k + 38. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 151, 299, 443, 583, 719, 851, 979?\n\"Answer: -2*w**2 + 154*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40037986*n**3 - n**2 + 1154*n - 7?\nAnswer: 240227916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 3 - (0 + -4). Suppose -20 = -3*g - h*x + 2, 2*x = 2*g - 24. Solve -g = q + 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 10*k + 441. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, d: 6}. Give prob of picking 3 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v**5 + 110*v**4 + 85*v**3 - 950*v**2 + 1260*v - 360 = 0. Calculate v.\nAnswer: -3, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99228907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22830 + -68486\/3. Let n(h) be the first derivative of 1\/2*h**4 + 0*h**2 + 7 + 3*h + j*h**3. What is the derivative of n(y) wrt y?\nAnswer: 6*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 3*w**5 - w**5 + (-66*w**2 - 168 + 168)*(4*w - 4 + 4)*(-2 - 6 + 0)*(-3*w + 4*w + 0*w**2 - w**2) + w**5 + 2*w**5 - 4*w**5.\nAnswer: -2115*w**5 + 2112*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -68. Let r = 80 + s. Let a = 205 + r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 - 477 = -5*h - 5*k, 5*h - 4*k - 30 = 0. Solve 12*l - h*l + 6 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 3*g = 8*c - 9, 26 = 4*c + 2*g for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*j - 7*j - 162 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 554*g**3 + 493*g**2 wrt g.\nAnswer: 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82524, 82571, 82656, 82785, 82964, 83199, 83496, 83861?\nAnswer: 84300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-10))\/((475\/125)\/(-19))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(4080\/216))\/((-43)\/10 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/25 - 127\/(-5). Let o = y - 23. Suppose 5*j - 24 = 1. Solve 3*m = -3*t + 3, 4*m + t = -j + o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*w + 19, 2*m + 0*m = -5*w + 26. Let c(i) = -8 + i**2 + 3*i**3 + 11 - 4*i**3 - 17*i - 11*i**2. What is the least common multiple of c(-8) and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44042849 or -44042848?\nAnswer: -44042848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5*g**2 + 474\/5*g + 159\/5.\nAnswer: -3*(g - 53)*(3*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d. Suppose 9*x - 4*x + 25 = d. Let k(s) = -6*s**2 + 5*s + 6. Let p(z) = 5*z**2 - 4*z - 5. Let f = -6 + 2. Calculate f*k(g) + x*p(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24724807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 27456.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 3*r**2 + 3*r**2 - r**3)*(1 + 4 - 11).\nAnswer: 6*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 16. Suppose 4*k = -3*m + d, 1 = -5*m + k - 1. Factor 0*f + f + f**2 + m*f**2.\nAnswer: f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 1, x: 1, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/123 and -52\/33.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 49*r - 4. Let a be y(3). Let j = a - 96. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 66. Suppose r = -10*k + 14*k - 572. Let f = 42 - -7. Calculate the remainder when k is divided by f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 + 60*x**4 - 250*x**3 + 420*x**2 - 225*x = 0. Calculate x.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Suppose -x*g - 3*w + 123 = -8*w, 39 = g - 4*w. What is the remainder when 107 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 2*b**2 + 2*b**2)*(-11 + 22*b + 24*b - 40*b)*(0*b - 5*b + 3*b).\nAnswer: 12*b**4 - 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/9)\/(p\/(p*p**36*p)*p*p) assuming p is positive.\nAnswer: p**(314\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - ((22 - 3) + (-25 - -24)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 35757452 divided by 4\nAnswer: 8939363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217.669 + 218. Let g = 0.231 - u. Which is the closest to g? (a) 0.7 (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 + 2 + (-3 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1429268625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from zszszzzsszzzzz?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 23*g - 92, 5*g + k + 2*k - 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 23*x - 3 - 20*x + 1. Let q be n(-3). Do q and -11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from {m: 8, d: 3, g: 6}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/(10\/(120\/6)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6437 - -6432. Which is the closest to y? (a) -0.5 (b) -1 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42810 divided by -1427?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190291411?\nAnswer: 13693, 86927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 247, 4\/15, -3\/4?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 + -4 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 15269 - 5483*v + 15269.\nAnswer: -2*v**2 - 5483*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1934400.1 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 2*d + 1. Let l(v) = 4*v**2 - v - 1. Let n be l(-1). Let w be y(n). What is the remainder when (-4)\/(-6) - (-93)\/w is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475476 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: Collect the terms in 5*k**3 + 42 + 5 - 49.\nAnswer: 5*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Suppose 0 = 4*j - 3 - k. Calculate the highest common factor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.5. Let z = -4078 - -4077.4. Which is the nearest to z? (a) -3 (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 9) in base 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s. Let r(m) be the second derivative of -7*m**3\/6 + 2*m - 12. Give b(r(o)).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/3 - 2*-8. Let s = i - 15. Put s, 0.3, -0.5 in increasing order.\nAnswer: -0.5, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29104961.\nAnswer: 433, 67217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5049 and 363.\nAnswer: 55539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**6\/90 + 11*c**5\/45 + 19*c**4\/18 + 2*c**3 + 3*c**2 + 34. Factor i(t).\nAnswer: 4*(t + 1)**2*(t + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, -25, 2\/9, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16464996270 to the nearest 1000000.\nAnswer: 16465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 237 = 3*n, -3*n = -4*o + n + 332. Let u be 86\/(-10) + (-2)\/5. Let t = u - -18. What is the greatest common divisor of o and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225 - -239. Sort -5, m, -4, -2\/5.\nAnswer: -5, -4, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -i + 1 - 5, -3*i - 3*y + 15 = 0. Let u = -11 + 11.3. Which is the nearest to -1\/4? (a) i (b) -1\/8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(0 - 2 + 0) + (3*j - 5*j + 21*j)*(2 - 1 + 5).\nAnswer: 110*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 25 = 45. Suppose -j*v = 3*s - 6*s + 25501, -17006 = -2*s - 4*v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1679 - -1679. Let k(m) be the second derivative of 0 + 0*m**3 - 3\/4*m**4 + u*m**2 - 5*m - 3\/20*m**5. Factor k(i).\nAnswer: -3*i**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**2 + 9*y - 4. What is the remainder when v(-4) is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 274 and 6.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = -0*t. Suppose -t*x = -3*h - 17, -5*h + 4 = 2*x - 9. Suppose h = -k + 4. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(-29)*(n**0)**(-9) assuming n is positive.\nAnswer: n**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -10*l**2 - 9936934*l + 5962164 = 0.\nAnswer: -993694, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9485779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 17*t + 8. Let i be 8 + 0\/(-9)*2\/6. Let u be z(i). Solve u*d + 3*d - 4*m + 17 = 0, 5*d + 2*m = 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 6 - w + 6605624*w**3 + 6 - 6605618*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.8024 rounded to one dp?\nAnswer: 562.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212501113 to the power of 1\/2, to the nearest integer?\nAnswer: 14577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28638*b**3 - 11*b**2 + 2*b**2 + 28467*b**3 + b)*(3 - 2 - 7) as x*b**3 + d*b + u*b**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4683478 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 12?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -76025000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 4*t**2 + 36*t**2 + 4*t + 9*t.\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i - 2601 = -1787*i + 10538 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) - sqrt(88)\/sqrt(11))*6 + (sqrt(128) + 0 + 5)**2.\nAnswer: 74*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-11 + 26)) + 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 7:46 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1\/3, -0.1, 5159?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1230 and 4182?\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38999*p + 38999*p - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20870860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.002 in -7.7, 2, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 43*m - 92. Suppose -8*q = -q - 91. What is the units digit of b(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 5*z. Is 6\/11 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 7*u - 2*b - 5, 4*u - 3*b - 35 = 0. Suppose -m - 12*w = -10*w - 4469, 5*w = -u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7015*u**3 + 2*u. Let n be g(-2). Suppose 6116 = 2*q + n. Let o be q\/1*(-1920)\/8. Round o to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - c - 153, 5*r - 456 = -3*c - 187. Let j(g) = 3*g + 12. Let l be j(-5). What is the remainder when r is divided by 18 - (-2 - 1)\/(l\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837924514 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*l = 2, 32*l + 8 = 3*s + 30*l. Solve 0 = -s*z - 4*c - 36, 3*c = z + 4*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-1 + -3.\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26784 and 2201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.94 times -5?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -473 from 4357325.\nAnswer: 4357798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3696.7 - -3697. Put -2\/7, r, -13, -2 in descending order.\nAnswer: r, -2\/7, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 3. Suppose 0 = -7*j + 19*j - 9*j. Let y(h) = h + 4 - 5 + j*h + 2. Determine q(o) - y(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4 - 14000*l**3 + 351302*l**2 + 365300*l = 0.\nAnswer: -7025, -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13017\/17 + -766. Let p = r - -49\/51. What is the second smallest value in -1\/5, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3282, 3196, 3136, 3114, 3142, 3232?\n\"Answer: 2*o**3 + o**2 - 103*o + 3382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p + 118. Let c be g(-5). Which is smaller: c or 380\/9?\nAnswer: 380\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(2\/10)\/(2\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903096 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0399832 + -0.04. Round f to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40675336 divided by 5084417?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -93 + -16 + 46\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6338731499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -165 (b) 3\/5 (c) -5 (d) 96\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1260 (base 13) to base 5.\nAnswer: -40423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.0148 from -5642.\nAnswer: -5632.9852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198 + 1507. Suppose -2*q + 1635 = 3*x, 3*q - x = 775 + u. Calculate the remainder when q is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 14*o + u = 7*o + 35, 5*o = 3*u + u - 65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrbr when four letters picked without replacement from aaavvrabrrva?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 271 divided by 128601\nAnswer: 271\/128601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2113.496 years?\nAnswer: 25361.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x**2 - 3*x**2 - 7 + 120*x - 133*x. Let y = 12 - 24. Let h be n(y). Solve 5*o + p = -1, -h*o + 5*p = 2*p + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.63 + 35. Let z = u - -0.03. Suppose 2*r + 4*h + 4 = 6*r, -2*r - h = 13. Sort z, -3, r.\nAnswer: r, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102201220111002 + 12?\nAnswer: 102201220111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 - n**3 - n**3 + (5*n**2 + 5*n**2 - 6*n**2)*(0*n + 3*n + 0*n).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15\/(((o**(2\/37)*o)\/o)\/o))\/((o**(-13)*o)\/((o**(2\/5)\/o)\/o)) assuming o is positive.\nAnswer: o**(4874\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:45 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 29 - 2*d + 7 - 62.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202022 - -110021022120?\nAnswer: 110020120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 46, 7\/29 in decreasing order.\nAnswer: 46, 7\/29, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4246, -4284, -4340, -4414, -4506, -4616, -4744?\nAnswer: -4890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 329274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*f + 7684 + 380 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7690428*-1.\nAnswer: -7690428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 807035834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 614\/(-4)*(-10 + 8) + 1. Calculate the highest common divisor of f and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.2 + -2.2. Let y = -2 + u. Let a be 1\/(-2*(-11)\/(-4)). What is the second smallest value in 0, a, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -38*z + 29. What is a(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-142)\/(-14) + (-37)\/259. Let p(d) = -d**3 + 12*d**2 - 20*d + 10. Let z be p(b). Solve q - z = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 126*m + 858. What is the remainder when 164 is divided by l(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1385832628 or -1\/4?\nAnswer: 1385832628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 336 + 273 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60221, 60213, 60233, 60293, 60405, 60581, 60833?\n\"Answer: 2*g**3 + 2*g**2 - 28*g + 60245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/437 and -29\/332?\nAnswer: 145084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15015\/220)\/91)\/((3\/28)\/(-3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5*p - 2. Let c be f(-4). Solve 3*z**5 - c*z**5 - 2*z**2 + 0*z**5 - z + 2*z**4 + 0*z = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439393 is divided by 7086.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29376 and 18943848.\nAnswer: 151550784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d - 78. Suppose 6 + d = p. Let q = p + 47. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394b (base 14) in base 5?\nAnswer: -310223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 60 = -6*r. Let y = -364 - -630. Let s = y - 111. Calculate the remainder when s is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5 = -22*r + 20*r, 10 = r - 2*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71426 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0702 and -2.\nAnswer: -2.0702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/23, 0.3, -15, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 8 - 15) + 19 + -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*4 - (-4)\/2. Solve 5*f = -2*q + 2*f, h*f = -2*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrcy when four letters picked without replacement from xxixxixyicxrx.\nAnswer: 7\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 148 = 4*j, 3*k + 0*j - j = 95. Let r = 28 - 71. Let i = r + 46. Calculate the greatest common factor of k and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-197968606\nAnswer: -593905818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*b + 1 = -0, 3*b = -9. Let w(p) = -4*p + 4*p + 5*p - 3*p + 1. Determine w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 9) in base 4?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 169, 290, 427, 574, 725?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9357 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12596 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 40*h = -60*h + 156 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(2\/(-4)). Let r be (h\/(-2))\/(1*-6). Which is the nearest to r? (a) 1\/2 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 2, r: 1, m: 2, x: 3, q: 3}. What is prob of sequence rkqo?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*q**2 - 3)*(-3*q**2 + 2*q**2 + 3*q**2) + (22*q + 5*q - 4*q)*(q**2 - q**2 + 2*q**3) as k*q + z*q**4 + b*q**3 + n + p*q**2 and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4805835*k**3 - 18961781 wrt k.\nAnswer: -14417505*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123053 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 229278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1496\/29 + -43691\/870. Find the common denominator of 94\/75 and n.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/6)\/((-22)\/33). Let n = -9 - j. Suppose 6 = -5*f + 1, -97 = -n*v - 3*f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {s: 5, m: 2, k: 13}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 1. Let y(u) = -u**2 + 10*u - 5. Let z be y(9). Suppose 2*s - z*i - 44 = -16, 3*s = -3*i + 6. Suppose -n + s*n = -5. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5908 - 2945. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 323 + 16 + 1\/1. Let m = -237 + l. Is m a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, u: 14}. Give prob of picking 2 u.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 16 - 4. Solve 3*a - u = -b, 5*u - 3 = -5*a + a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/3498 and 64\/3.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 206150.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22 = -1. Let r be j - 3*(-6)\/9. What is the greatest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*h + 23*h + 43*h + 2*h**3 + 42*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 30 = 2*n, 2*n - n = 3*z + 20. What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 3041*l**3 + 3041*l**3 - 7*l**5 + (-l**2 + 0*l**2 + 0*l**2)*(3 - l**3 - 3).\nAnswer: -6*l**5 - l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 - -149. Calculate the remainder when 33 is divided by x + (-4 - (-20 - 1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58593367 divided by 61\nAnswer: 960547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 2*p**2 - 7*p - 3. What is j(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 282398080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2\/15, 5, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 - 441 = 154*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -88. Suppose -r = 3*q + 2*q. Let n = q + 31. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p + 30. Let y be g(6). Solve 5 = -5*r - 2*l, y*l = 4*r - l + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -711 - 807. Calculate the least common multiple of q and 510.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816\/(-4)*-20*(-15)\/1200.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 40718 and -3281 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/19, -2, 58\/3, 4, 43 in decreasing order.\nAnswer: 43, 58\/3, 4, 1, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 119. Suppose g + g + y + 11 = 0, g = 3*y - 23. What is the units digit of (-3)\/(-12) - f\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 63 - 3 = 0. Let d = 94 - 79. What is the smallest common multiple of r and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4932223.06 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/3 - 6197770*h**3\/9 - 16527334*h**2\/9 + 10329602*h\/9 + 4131836\/3 = 0.\nAnswer: -1032959, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-1\/3))\/u)\/u**8*(u**(2\/7))**48)**(-10\/9))**28 assuming u is positive.\nAnswer: u**(-4520\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18506, -37012, -55502, -73970, -92410, -110816?\n\"Answer: h**3 + 2*h**2 - 18519*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose 0 = -4*r + 3 + 5. Suppose 2*w - 66 = -5*b, -4*b + c*b = r*w - 18. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39.6? (a) -14\/79 (b) -4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484 and 40660.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593 - -1637 - (83 - -1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677 = 2*q - 685. Factor 1\/2*z**2 + q*z + 8.\nAnswer: (z + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(204) + -2*sqrt(204)))\/(sqrt(4) - sqrt(12)\/sqrt(3)*-6))\/((sqrt(3267)*-2)\/(sqrt(81)*1 + sqrt(81))).\nAnswer: 15*sqrt(17)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27100, -5, 1 in ascending order.\nAnswer: -5, 1, 27100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 32. Solve -3*v - r*f - 1 = 0, -2*v - v + 11 = 5*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 1292.2.\nAnswer: 11629.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*w**3 + 1\/2*w**2 + 0 - 1\/4*w = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3310043 (base 5) to base 13\nAnswer: 1cb8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 0.01. Let h(t) = -t - 1. Let l be h(-2). Let c = -15 - -167\/11. What is the closest to k in c, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/7 - 251*m**3\/7 + 13179*m**2\/7 - 72405*m\/7 + 105300\/7 = 0. Calculate m.\nAnswer: 3, 65, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.2. Let b be -19*1\/3 - (-462)\/1320*20. Put -0.4, u, 6, b in increasing order.\nAnswer: -0.4, u, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/54 + (-130)\/18. Let t be 3 + j\/(-14)*166. What is the smallest value in 5, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6436, 12480, 18522, 24562, 30600, 36636?\nAnswer: 42670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14ab (base 12) to base 9\nAnswer: 3305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-135)\/(-6)) - (-68)\/(-180)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -19) + -6 - (-1 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3533 = -3511. List the prime factors of n.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)\/(1\/2). Let h(u) = -17*u + 1. Is h(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let z = 103 + -101. Let u(m) = 2 - z - 4*m + 23*m. What is u(y(g))?\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Solve 3*y + 10 = r*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 0, -3*b = 3*j - 5*b + 8. Let z be j*1\/(-4)*2. What are the prime factors of (-9)\/z*(-2)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 304 = 4*x. Let w = x + -47. Is 1\/5 + w\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -49*u - 175. What is the second biggest value in 0, 2\/23, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -262 + 262. Solve 4*x + 15 + 5 = q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 122*q**2 - 46*q**2 - 42*q**2 - 39*q**2. Let i(c) = 5*c - 15*c + 17*c. Give i(p(y)).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7258 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 + 2 + 5 - 2 - 4 + b. Let l(c) = -c**2 - 5*c + 9. Let w be l(-8). Let j = -16 - w. What is k(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.242 minus 76?\nAnswer: -76.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3020 = 4*x - 4*t, 4031 = 4*x - t. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5*u. Suppose -3*g + 0*r - 4*r + 2 = u, -2*g + 5 = -r. Solve -g + 17 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 1 - (411 + -330)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 6. Let k be m(-3). Let z be ((-33)\/k + 3)*16250. What is z rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1\/4*h**3 + 3\/4*h**2 - 1\/2*h + 0 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:17 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t**4*t*t*t**(-6\/11)\/t*t\/(t**(-7\/5)\/t))**(-1\/4) assuming t is positive.\nAnswer: t**(-707\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 14*w - 18. Suppose 0 = f - 5*r - 14, -6*r = 4*f - r - 31. Calculate the least common multiple of v(f) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 14. Let n = 65.77 - 65. Let o = -0.87 + n. Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-5)\/(-4 - 11\/(-3)). Suppose -v + 2 + 18 = 0. Let i = v - k. What is the remainder when 33 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 725976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -260. What are the prime factors of d?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28960 is divided by 14479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 433, -1, -8, -25 in descending order.\nAnswer: 433, 3, 0, -1, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206e (base 16) to base 10.\nAnswer: 8302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 - (22 - 164) - 87.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 84630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 623*v**2 - 46*v + 57. What are the prime factors of d(4)?\nAnswer: 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.26548 to two decimal places.\nAnswer: -7.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33810\/(-980) - (-37 + 3))\/(2\/(-140)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - 3) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37450\/561 + 1157\/17. Let g = u + -1097\/462. Find the common denominator of -115\/14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h)\/h*h\/h**(4\/7)*(h**7\/h*h)\/(h\/(((h\/((h\/h**(1\/12))\/h)*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(631\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 819691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/30 + 5*a**4\/24 + 5*a**3\/6 - 62*a**2. Determine b(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/3*(-64)\/(7552\/(-177)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31987800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 15, 3*d = -5*u - 30 - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(112) + 1 - ((sqrt(112)*1 - sqrt(112)) + 5)) + -4 + (6*(-1 + sqrt(112)*-2 - sqrt(112)) + 1)**2).\nAnswer: 4344*sqrt(7) + 217842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3575*s - 35. Let k(b) = -298*b + 3. Give -35*k(r) - 3*n(r).\nAnswer: -295*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1221, -1077, -933, -789, -645, -501?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0788 rounded to 3 dps?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (68\/85*(-3)\/4)\/((-297)\/(-275))\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3629\/16 - 223. Let l = -13541\/126 - -748\/7. What is the common denominator of r and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72783.54s to hours.\nAnswer: 20.21765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*n + 30 = 0, 3*n = 5*h + n - 24. Suppose -3*o - 6 = 3*m, 16 = 3*o + o - 4*m. What is the remainder when 1\/((-2)\/h*-1) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41412 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + 5.12. Let f = -0.8 + 0.3. Which is the second smallest value? (a) f (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 752 and 7200.\nAnswer: 338400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -11884088?\nAnswer: 11884085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1261 and -3?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(105)\/sqrt(3) + sqrt(35))\/sqrt(7) - sqrt(5)))**2 + 3 + -1 + 0 + sqrt(5).\nAnswer: sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n + 873 - 861. What is the nearest to 1\/8 in 2, n, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -13, -14, -27, -58, -113, -198, -319?\n\"Answer: -h**3 + 3*h**2 + 3*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -121*y + 114*y. Let w be (-100)\/3*(-1 + -2). Suppose y*a = w*a - 432. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d, -d = 4*b - 9 - 0. Let f(o) = -5*o + 10*o + 3 - 2 + 0 + 39*o. Calculate f(b).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036071582 rounded to 5 dps?\nAnswer: 0.03607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + x - x. Let n be m(-6). Let f be (-30)\/(-90)*5\/(-2)*(-36)\/10. What is the greatest common divisor of n and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -987914 and 0.2.\nAnswer: -197582.8","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 uxuuxxuxuuuuxuuuuuu.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11 = 2. Let y be i*(-2 + 5)\/3. Find the second derivative of -2*w + 6*w**3 + w**y - 9*w**3 + 4*w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 23 - 193 = 0. Suppose 2*n = -4*a + l, 5*n + 2*a = 6*a + 99. Suppose 0 = 2*c + 5*g + 15, -4*g = -3*c - 0*g + 35. Solve 1 + n = c*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49830 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 48*z - 325. Let x be a(7). Solve 0 = o + 5*t, -4*t + 10 = 5*o - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2 - 30*d + 41. Calculate c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10554790.\nAnswer: -10554786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:15 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 - 45\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.39 (c) 2\/13 (d) -684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 71.42. What is n rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-35))\/((-3)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 297 * 0.05\nAnswer: 14.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, 1, 472, -74 in increasing order.\nAnswer: -217, -74, 1, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 4457034?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4371*t - 29 = 4400*t. Which is greater: t or 505\/2?\nAnswer: 505\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 7*n**2 - 11\/6*n**3 + 0*n + 0*n**4 + 0 - 1\/4*n**5. What is the first derivative of a(y) wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/10 - (-2176)\/170. What is the highest common divisor of 213 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + h = 0, 4*h = -3*l. Solve l = -4*r - 15 - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 12 = 0. Let z be (d + -3)*-1 - -3. Suppose -z*j + g = 3*g - 34, -14 = -j + 2*g. Calculate the remainder when 63 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 4. Let c be z(-5). Suppose -3*n - 27 = 6. Let k = c + n. Solve 0 = k*u - 40 + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(-18) + (-4)\/1. Which is the closest to 0? (a) t (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x*x**(2\/3))\/x*x**(-1\/9)\/x assuming x is positive.\nAnswer: x**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*r**2 - r + 114*r**2 + 0*r in the form i*r**2 + w + j*r and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 360886109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 386357040 and 13675.\nAnswer: 2735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146721 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 235365 and 4675?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3101 = -r - 3*k + 2079, 3*r - 15540 = -3*k. Suppose 49*y - 45*y - r = 0. Suppose -173*a + 168*a + y = 0. List the prime factors of a.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1491070 divided by -87710\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*y**3 - 2*b*y**2 + 2624*b - 2*y**3 - 486*y wrt b?\nAnswer: 2*y**3 - 2*y**2 + 2624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = 11 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 8*t**3 + 15 + 15 + 2*t + 14*t - 43.\nAnswer: 8*t**3 + 16*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 4. Let j be -4 + (4 - 2) + 1. Let h be i(j). What is the biggest value in -0.5, -1\/6, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38701841.68705 + 475.31295. Let i = -38702361.999941 + s. Let r = i + 45. What is r rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -195407, 10 in decreasing order.\nAnswer: 10, -1, -195407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15054 - 2.84946. Let l = 0.28 - 0.01. Let k = -0.03 - l. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1744 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 373*j**2 - 154587*j + 11697083. Let z(g) = g**3 - 417*g**2 + 154587*g - 11697083. Let v(h) = 6*l(h) + 7*z(h). Factor v(n).\nAnswer: (n - 227)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -696*r + 3491. Let n be i(5). Let u(q) = q**3 - 11*q**2 + 3*q - 22. Determine u(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 3*c + 3. Let d be ((-28)\/(-20))\/(-1) + 3\/(-5). Let o be j(d). Let k be 0*(3 - (-3 - o)). Solve k = -a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/2 - 93*x**3\/2 - 181*x**2\/2 + 93*x\/2 + 91 = 0.\nAnswer: -91, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*i = -5*i - 43, -4*q - 71 = -5*i. Let c = q - -21. Suppose 0 = -0*x - c*x + 6. What is the biggest value in x, 2, -19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -593.\nAnswer: -15\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r + 22*r + 24*r + 25*r + 22*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 57 = 3*k, -k = 5*o - 3*k - 116. Let y = -4 + o. Let z(g) = -g**3 + 22*g**2 + 16. Calculate the lowest common multiple of z(22) and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0 - 10. Let u(y) = 9*y - a - 1 - 10*y. What is u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)*(c*c*c**(-33\/5))\/c)**48 assuming c is positive.\nAnswer: c**(-1164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5287, 5, -6 in descending order.\nAnswer: 5, -6, -5287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2. Let p(g) = -8*g + 7. Let w(n) = 7*n - 6. Let a(q) = -6*p(q) - 7*w(q). Calculate a(f(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + 2*1*sqrt(133))) + (-5*(sqrt(133) - sqrt(133)*2) - sqrt(133) - sqrt(133)))\/((sqrt(63)\/(sqrt(9)*2) - sqrt(7))*-2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(4\/11))\/((i*(i*i**(-1)*i)\/i)\/i)*(i**1)**(9\/5))**30 assuming i is positive.\nAnswer: i**(1134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 3*n + 1. Let l be s(-2). Let q(o) = 2*o**3 - 2*o**2 + 7*o - 17. Let f be q(2). Suppose -11*v = f*v - 16. Put l, v, -4 in descending order.\nAnswer: l, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + 71\/(-16))*(-2)\/3. Sort 2\/3, z, 2\/15, 0.044 in decreasing order.\nAnswer: 2\/3, 2\/15, 0.044, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 8 - (0 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52774217 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31984810 divided by 110.\nAnswer: -290771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 1, z: 2, p: 1}. Give prob of picking 1 d and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.68 + 0.28. Let z be 6\/(-9)*2\/(-4). What is the second biggest value in p, z, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 2. Let k(n) = -9*n**2 + 191. Give k(i) - 5*u(i).\nAnswer: 6*i**2 + 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.04435303 or -0.1?\nAnswer: 0.04435303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*r + 14. Let s(b) be the third derivative of 0*b**5 - b**r + 0*b**4 + 0*b + 0 - 1\/6*b**3 - 1\/40*b**6. What is the derivative of s(l) wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49122, 98210, 147286, 196344, 245378, 294382, 343350?\nAnswer: 392276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1539252 and 125\/9531522?\nAnswer: 247819572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1800))**2*5 + (sqrt(90)*-2 + sqrt(90))\/sqrt(5)*5 + 5.\nAnswer: -15*sqrt(2) + 144005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2417, -2426, -2439, -2456, -2477, -2502?\n\"Answer: -2*u**2 - 3*u - 2412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let a = -0.13 - -0.03. Put v, 1, a in increasing order.\nAnswer: a, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*h = 15, 5*h + 0 = -y + 3. Let r be ((-9)\/(-6) + y)*(-2 - 12). Let m(w) = 13*w + 13. Does 26 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**8\/336 + y**5\/30 - 3*y**2\/2 + 3. Let r(v) be the second derivative of s(v). Find the third derivative of r(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31220 - -218543\/7. Put 7, d, -2\/5, 6, 4 in decreasing order.\nAnswer: 7, 6, 4, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 8:46 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {b: 4, p: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.53649 and -0.399771.\nAnswer: -2.936261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -23*p + 111*p - 222*p + 4030 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 5*l**4\/12 - 408*l. Let w(x) = -4*x**2 + x**2 + 5*x**2. What is o(w(j))?\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21029?\nAnswer: 21029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = -4*l + 15, -l - 5*i = 22. Let u(t) = -t - 2 - 5*t + 7*t. Determine u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:00 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5353713 or -66?\nAnswer: 5353713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(30\/(-2475)*-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*l = 251*l + 3*d - 13, -2*d + 6 = 2*l. Let c = -165\/4 - -42. Factor c*u**4 + 0 + 0*u - 3\/4*u**3 + 0*u**l.\nAnswer: 3*u**3*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9719 is divided by 3208?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*15640\/3 + 4. Suppose -x = j + 4*f - 5628, -3*j - 29992 = -2*f. Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 747*a - 2900. Calculate the remainder when 569 is divided by b(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i**2 + 52 + 1\/3*i**3 + 0*i. Factor r(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -645\/46 + 4107\/598. Which is bigger: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 100.99999917. Round n to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-41 + 31)) + -12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28339146841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.51644 millennia in months?\nAnswer: 1074197.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuv when three letters picked without replacement from ccvru.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**3)\/(x\/(x*(x**(2\/7)*x*x)\/x*x))*(x\/(x*x**(1\/9))*x*x)\/(x\/(x**(-3\/11)*x)*x) assuming x is positive.\nAnswer: x**(4783\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 14. Let f be j(21). Let m(i) = -i**2 + 18*i - 60. Is m(f) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 13. Let i be t(-3). Let f be 26*(16 + 1) + i. Suppose 5*p = -43 + f. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00487268036 to 6 dps.\nAnswer: 0.004873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-17 - -3) - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 2, v: 1, y: 1}. Give prob of picking 2 o, 1 y, and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose -2*g - 5 = v*g. Let t = 2 + -4. Is g at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/13 - 58*y**4\/13 - 22*y**3 - 230*y**2\/13 = 0. What is y?\nAnswer: -23, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -918*f**2 + 1785*f**2 - 866*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 24*b + 12. What is the third derivative of 37*u**3 - 6*u - 12*u**3 + 6*u - 9*u**b wrt u?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143401 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110111 (base 6) to base 4.\nAnswer: -31213123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 0\/(3 - 4). Suppose v - 5 = 0, s - 2*s + 5*v + 4 = f. Suppose -k = 5*x - 31, s = 4*k - 0*k + x. What is the lowest common multiple of k and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780*d - 1299*d = -24948. Factor 18\/5*b**2 - d*b + 10.\nAnswer: 2*(3*b - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 72 = -5*x. Calculate the remainder when x is divided by (-4)\/(-22) + 456\/33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/(-8))\/((-251)\/(1144560\/1995)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.963 + -14.963. Which is the third smallest value? (a) 28 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-1 - (0 + 16\/28)). What is the closest to -0.1 in l, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.16.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 12749*t + 10592321. What is i(744)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(sqrt(66) + ((sqrt(66)*2 + sqrt(66))*-5 + sqrt(66) + sqrt(66) - sqrt(66)))*-2)\/((-4*sqrt(216)\/sqrt(4))\/(sqrt(72)\/(sqrt(8)*2))).\nAnswer: -13*sqrt(11)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65150 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*j - 19 = 0, 2*k - 5*j + 0*j - 17 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 3, q: 1, p: 4, h: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(2\/5)*f))\/(f\/((f\/(f*f*f*f*f*f\/f**(2\/23)*f*f*f*f*f))\/f)*f) assuming f is positive.\nAnswer: f**(-1416\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(28)*-1)\/(sqrt(4) + sqrt(4) + -1*sqrt(4)*6))**2.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5591 and -258301.\nAnswer: -252710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1794*i + 11764. Calculate j(-5).\nAnswer: 2794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, h: 5, d: 2}. Give prob of sequence phph.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.3. Let b be 11\/((-462)\/(-372)) - 9. What is the nearest to 2 in g, -0.3, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:21 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.11 - -2.2. Let q = -1 + r. Let z = 1 - 1. Which is bigger: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {f: 9, l: 3, u: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/8)\/(-1))\/((-115)\/92)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1068\/567*6\/20 + 4102\/(-18459)\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*p = -14, 2*z - 3 = -5*p - 9. Solve -z*j + u = 3, -2*j + 4*j - 2*u + 6 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 1, e: 1, q: 1, f: 2, c: 1}. What is prob of sequence nsef?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-45 - -15) - -20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(13\/3)*s)\/(s\/s**(-9)))\/((s**(-9)*s)\/s**(-2\/17)) assuming s is positive.\nAnswer: s**(-227\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-20 - -48 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/718 and 11\/14001.\nAnswer: 28002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 = 2*h + 4*u, -2*u + 30 = 4*h. Suppose -2*x + 1230 = -5*x - 3*c, h*c = 25. Let j = 744 + x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-226 - -26) + 97 - (-38 - 0).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021210 (base 4) to base 10.\nAnswer: 16996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 284, -1176 in increasing order.\nAnswer: -1176, -6, 3, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*j - 489 = -44. What is the third biggest value in -3, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274 = -5*z + 146. Let n = 29276 - 29250. What is the remainder when z is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*m + 4*m - 5, 5*f = -4*m + 17. Suppose -b = -5*y, -3*b - b + 5*y = 0. Sort 3, b, f in decreasing order.\nAnswer: 3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d68 (base 14) in base 11?\nAnswer: 1a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Suppose -o - 15 = 4*o. Let p be (-4)\/o*27\/6. Solve 0 = q*z - p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3188302 to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/21 + (-76)\/7. Let g(q) = 73*q**2 + 39*q - 11. Let t(l) = 24*l**2 + 12*l - 4. Let c(v) = o*t(v) + 4*g(v). Factor c(a).\nAnswer: 4*a*(7*a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112605 is divided by 552.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Suppose 4*v - 19 = -0*g - 3*g, 0 = -v - k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -31.038. Let z = -0.1425 + 0.5805. Let x = z - p. What is the third biggest value in x, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(3\/(108\/12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/((-17)\/153*(-1)\/5)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2061948, 2061890, 2061828, 2061762, 2061692?\n\"Answer: -2*i**2 - 52*i + 2062002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1012464 divided by -253116\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -3\/7, -16\/5, -2\/15, 60.\nAnswer: -16\/5, -3\/7, -2\/15, 1\/12, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:48 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -41. Let p be (56\/x + 4)\/(15\/(-9)). What is the second biggest value in p, -0.5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f + 2*o, f - 9*o - 3 = -10*o. Solve -4*s = -5*y + 4, -5 = 5*s - 0*s + f*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-2\/7)*f))\/f)**(-13))**24 assuming f is positive.\nAnswer: f**(3744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000356665113 to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - 3c?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/3)*k)\/k*k*k*k\/(k**(1\/12)\/k)*k*(k**(-1\/37)\/k)\/(k\/(k\/(k*k\/((k\/k**(9\/10))\/k*k)*k))))**38 assuming k is positive.\nAnswer: k**(-9519\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 + 3*q - 3. Suppose 3*d = 2*r - 3, 2*r = -4*d - 7 - 11. Let t be v(d). Let b(j) = -j**3 - 3*j**2 - j. Determine b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -534645 divided by 9?\nAnswer: -59405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**4 - 17*l**3 - 317*l**2.\nAnswer: 72*l - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + 0*l)*(-5*l**3 - 34*l**3 - 2*l**3) + l + l**4 - l.\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 7) in base 8?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - 1 - -6 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n*(n*n*n**(-19))\/n)\/n)\/n**(-15))\/((n*(n\/n**(39\/5))\/n*n*n*n)\/(n*n**(-1\/4)\/n)) assuming n is positive.\nAnswer: n**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 3.9. Let w = -98629\/676 + 110\/169. Let z = -291\/2 - w. What is the closest to a in -0.2, z, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-7))\/(495*(-314)\/(-17770830))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(153) + 0 + -5*(2*sqrt(153))**2.\nAnswer: -3064 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 169837412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/(-36))\/(2\/6). Solve 0 = -g - 3*g + n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -712, -1416, -2120, -2824, -3528, -4232?\nAnswer: -4936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306744738 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 549, 1\/33, -0.4, -14\/3 in increasing order.\nAnswer: -14\/3, -0.4, 1\/33, 4\/3, 549","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, h: 17}. Give prob of picking 2 h and 2 o.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(3 + sqrt(325) + 0)*-1 - (4 + sqrt(325) + -1 + -5)*-5) + 3)**2.\nAnswer: -70*sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1807, -7262, -16353, -29080?\nAnswer: -45443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12211211 (base 3) to base 11.\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -476 - -897. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/5)\/(2\/10). Let l(i) = -2 + 0 + u - i**2. Let k(y) = -3*y**2 + y**2 + 5*y**2. Give k(l(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a**3 - 4*a**2 + 2*a - 2. Let d be (-1*(3 - 12))\/1. Let o(z) = 33*z**3 + 16*z**2 - 8*z + 9. Let m(l) = d*c(l) + 2*o(l). What is j in m(j) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 160, 163, 168, 175, 184, 195?\n\"Answer: c**2 + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -26 + 28*h + 26*h - 61*h. Let j be o(-5). Let z(k) = 13*k**3 + 9*k - 9. Let u(m) = 6*m**3 + 4*m - 4. Give j*u(d) - 4*z(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(11\/6)\/(k\/(k**3\/k)*k**(-1\/3)) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**3 - 3*a**4 + 10 - 10 + a**4 - 5*a**4 - a**4 + 3*a**4 + (-3*a + 2*a + 2*a)*(0*a**3 + 3*a**3 - 2*a**3).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/133 in -1, 0.5, 0.3, -1.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -v + 5*r - 20, -4*v - 3*r + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/5172457 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*y**5 + 3720*y**4 + 48903*y**3 + 66390*y**2 - 32544*y + 3456 = 0. Calculate y.\nAnswer: -24, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/6 - 2)*4716\/(-30). Let p = h - -276. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a week in hours?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*c - 32, 15*s - 17*s + 7*c = 34. Suppose 0 - 3\/2*p + 3\/2*p**2 + 3\/2*p**3 - 3\/2*p**s = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b**2. Let q = 8 + -3. Let i(k) = -k. Let d(s) = s - 1. Let c(y) = 6*y - 3. Let t(o) = c(o) - 3*d(o). Let p(f) = q*i(f) + t(f). Determine p(x(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (52\/42)\/(-31*(-14)\/(-651))\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g + 8. Suppose 2 = 5*y - 18. Let j(r) = -5*r + 13 - 6*r + y. Give 13*b(f) - 6*j(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4700 and 2784.\nAnswer: 3271200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 2*m**4 - 2*m**4 + (-2*m**2 + m - m)*(-3*m**3 + 3*m**3 + m**3) + (3*m + 1 - 4 + 4)*(2*m**4 + 7*m**4 + 10*m**4).\nAnswer: 54*m**5 + 19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = 3*n - 3. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1196 from -273617.\nAnswer: -274813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -9. Suppose 0 = -3*w - 0*w + 4*r - 6, -6 = 3*w + 3*r. Calculate the remainder when 13 is divided by (w\/n)\/((-6)\/(-84)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 9*r + 7. Let n = -12 + 19. Let z(x) = 4*x - x**2 + 0*x**2 - 8 + 18*x + x - 2*x**2. Let a be z(n). What is j(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 51240?\nAnswer: 51240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 137140082 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v = -30*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 8*w**2 - 7*w - 29. Let g be p(9). Let c(u) = -u**3 - 12*u**2 - 10*u + 16. Give c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15 - 23*s - s**3 + 16 + 6*s**2 + 18*s + 2*s**3. Let x(g) = g + 3. Let c be x(-10). Give r(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1993350 or -1993685?\nAnswer: -1993350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13843 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6.4. Let n = a + 3.4. What is the third biggest value in 1, n, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8200 is divided by 541?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8. Is 1\/20 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 203917462\nAnswer: 203917465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**24*h**(31\/3))\/((h\/h**(-2\/9))\/(h*h**(-1\/31))) assuming h is positive.\nAnswer: h**(9508\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 445 in descending order.\nAnswer: 445, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(90))\/sqrt(6))\/(-2*(sqrt(108) + sqrt(108)*1)))**2 + 4.\nAnswer: 69\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.036 - 0.1. Let k = n + -0.206. Let h = 1.73 - k. Which is the fourth smallest value? (a) 3\/7 (b) h (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, 3, -2056, 4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -34. Let r = 304 - 3950\/13. Let l be (-6)\/(-8) - (-15)\/(-30). Put l, h, r in increasing order.\nAnswer: h, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 + 33051*t\/4 - 140250.\nAnswer: -3*(t - 11000)*(t - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1986950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 5. Let n be x(0). Let j(c) = 0*c + 5*c - n - 2*c. What are the prime factors of j(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o**4 + 5*o**2 - 5*o**2)*(6*o - 2*o + 0*o).\nAnswer: -8*o**5 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 683493460339.\nAnswer: 683493460333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5) - (-12597)\/285.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 8*b**2 + 3*b - 2. Let o be z(-6). Suppose -o = -5*p + 3*l, 6*l = -4*p + l + 12. Suppose -1 = 2*y - 3. Solve -m - 2*s + p = s, -s = -y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1056*j**4 - 1672*j**3 - 7665676*j**2?\nAnswer: 25344*j - 10032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**5)\/f)**(-1\/24)\/(f\/(f\/(f**2\/f)))**7 assuming f is positive.\nAnswer: f**(-163\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32376 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8182 + 8185. Sort -5, q, -10, -3 in descending order.\nAnswer: q, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7176980 = 5*v, 2*v + 4784660 = -2*i + 4*v. Let f = -1703048 - -1010713. Let u = f - i. What is u rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 38586920 to the power of 1\/2, to the nearest integer?\nAnswer: 6212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 + 6*a**3 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m - 5. Let f be a(-5). Let c be (f\/4)\/(4\/(-8)). Let p = -141 - -141.5. What is the second smallest value in p, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19558?\nAnswer: 2, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 4, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21931\/(-105) + -2*(-3)\/(-45). Let i = -63 - h. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -178*f - 2. Let k(w) = w + 5374. Determine k(c(s)).\nAnswer: -178*s + 5372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*l + 5. Suppose 0 = 4*o - 25 + l. Suppose o*c - 77 = 67. Calculate the greatest common divisor of c and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94, -72, -2, 140, 378?\n\"Answer: 4*k**3 - 6*k - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 - 7*o**2 + 24*o**2)*(-2 + o**3 + 2).\nAnswer: 23*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -744, -2731, -6610, -13011, -22564, -35899, -53646?\nAnswer: -76435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 1\/6, 0.3, 43?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495023 by -17.\nAnswer: 29119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205964011*i**3*j**3 + 4*i**3*j**2 + 2*i**3 - 2*i**2*j - 88822*i*j + j wrt j.\nAnswer: 1235784066*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -22*l**2. Let y(x) = -391*x**2 + 777*x**2 - 391*x**2. Calculate h(y(s)).\nAnswer: -550*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2012 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q + 24 + 8*q + q**2 - 6*q - 4. Give b(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 29 = y. What is the greatest common factor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 2*b. Let r(a) = 5*a**2 + 5*a. Give -3*r(c) - 7*z(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-71 + 67)*3*1\/(-2). Solve b - 6 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/((-2)\/4). Let x = o + 7. Let u(y) be the third derivative of y**5\/30 + y**4\/6 - y**3\/2 + 4*y**2. Calculate u(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22779 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 967.86+-0.4\nAnswer: 967.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -2.9. Let f = d - -0.6. Let k = 0 - 0. Do k and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 18*l**2 + 324*l + 5832 = 0 for l.\nAnswer: -18, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 568 - 564. Suppose 0 = n + 2*n - 12. Suppose -2*j = -n*v - 3 - 157, -4*j + 300 = -c*v. Calculate the greatest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - 1) + (-4560)\/(-475). What is the closest to 3 in t, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(117)*-5 + -4)*-5)**2 - ((-4 + sqrt(117) + -1)**2 + 4)*-3.\nAnswer: 2910*sqrt(13) + 73964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 + 159.1. Which is the third smallest value? (a) 27 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(2\/45)\/(f\/(f\/(f*f**(1\/4)*f)))**(-2\/7))**36 assuming f is positive.\nAnswer: f**(866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12804772, 12804789, 12804812, 12804841?\nAnswer: 12804876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -81*i - 41. Let a(s) = 58*s + 41. Let z(p) = -4*a(p) - 3*t(p). What is z(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/((-50)\/108)*(-90)\/27. Let q = -22 - -21. Put 1\/2, 1, w, q in decreasing order.\nAnswer: 1, 1\/2, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*q + 25 + 63, -4*p - 92 = -4*q. Solve -l - 5 = -4*z, 14*l - q*l - 25 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 28*n + 60. What is the tens digit of n\/(-10*(-9)\/6165)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 10, u: 1, d: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:51 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1234 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46ed98 (base 15) to base 11.\nAnswer: 1a07154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.118. Let m = v - -0.0080054. What is m rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8123 + 13094. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -1, 2, 7, 14?\n\"Answer: t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 283. Let z(y) = -6. Let j(x) = -i(x) + 2*z(x). Let o be j(51). Solve -12*d = -o*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75485 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209, 206, 203, 200, 197, 194?\n\"Answer: -3*l + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 59. Let i = -10 + 7. Let m be -1 - (4\/(-18) + 19\/(-36)). Which is the nearest to 2? (a) i (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (15 + (-20 - -24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 82 - 16*c + 2*c - 84.\nAnswer: -12*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2*k - 19. Calculate b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 - 6*r - 4. Let d be u(-4). Suppose a = 6*k - 5*k - 32, -2*a + 104 = d*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69638000 + -1948379371\/28. Let v = -53013 + p. Let g = v - 66\/7. Is g >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1945369269 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9352, 9362, 9394, 9460, 9572, 9742?\nAnswer: 9982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l - 1. Let z(r) = -2*r**2 + 3*r - 1. Give -5*n(x) + 3*z(x).\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctccccnncc. Give prob of picking 1 c and 1 n.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -12432?\nAnswer: -12434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -3, -1\/5, 3\/7, 2\/7 in descending order.\nAnswer: 3\/7, 2\/7, -1\/5, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55062581 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 12. Let o be p(-10). Suppose -17*w + o*w = -189. Suppose 0 = 14*s - w*s + 77. Solve s = -4*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2. Let p(z) = 64*z + 118. Let l(f) = -37*f - 60. Let s(t) = 7*l(t) + 4*p(t). Calculate s(k(y)).\nAnswer: -9*y**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -8. Let i be 10 + q\/(1\/3). Let h = 27 - i. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 - -3. Suppose 0 = 381*u - 269*u + 448. Which is the closest to -0.2? (a) -2\/11 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i*i**(2\/9))))\/i)**(-40))**41\/((i\/(i*i\/(i**(-6\/5)\/i*i)*i)*i)\/(i\/i**(1\/3)))**(-8\/13) assuming i is positive.\nAnswer: i**(-214232\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4024\/3 - 1339. Which is the third smallest value? (a) -1 (b) i (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.55303 to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 101, 360, 869, 1712, 2973?\nAnswer: 4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 30\/7 of a week?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/(-468) - (-4)\/6)\/(1\/76).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*l**4 + (-68 + 25 - 47)*(2*l**3 + 2*l**4 - 2*l**3) to the form h*l**3 + f*l**2 + k*l + x + v*l**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f + 2*f - 270 = 50 - 3480 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 5*p + 3*m + 41, 123 = 4*p + 5*m. Suppose z - 5*z = p. Let i = z + 22. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30853 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1470963531 and 457?\nAnswer: 457.1470963531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60161 - -4?\nAnswer: -60154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 17 = -10*r - 4*x, 5*r + 2*x - 29 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Let a(x) = -184*x**2. Determine a(v(t)).\nAnswer: -184*t**2 - 368*t - 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(180))**2 - ((1*sqrt(180))**2 + -2).\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -h + 21. Let q = -14 - -42. What is the greatest common divisor of q and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/20161932 and -59\/411468.\nAnswer: 20161932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from {t: 8, v: 1, g: 2, y: 3, s: 1, d: 3}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20882448 and 48708.\nAnswer: 229706928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179258 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/8 - 1919*k\/4 - 8595 = 0. What is k?\nAnswer: -3820, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136227, 2272439, 3408651, 4544863?\nAnswer: 5681075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3813 - -3912. Solve 29*a - m*a + 210 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/19 + 106*x**3\/19 - 522*x**2\/19 - 10530*x\/19 + 72900\/19 = 0. Calculate x.\nAnswer: -10, 9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggqgzggzzuuugu. Give prob of sequence zz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, 1 e, and 1 k when four letters picked without replacement from {o: 3, w: 8, e: 1, f: 2, i: 2, k: 1}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by 105.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g + 14. Let o = -13 + 13. What is t(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 1 = 0, -5*j = -45*h + 43*h + 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 917 and 125891?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 218*j**3 + j**2 + j. Let t be f(1). Let o = -69 + t. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168586 + 255114. What is d rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let i(k) = 2*k + 6*k - 5*k. What is the units digit of i(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = p - 10, -4*a + 2 = 6. Suppose 2*l - i - 284 = 0, -l + 700 = 4*l - p*i. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5344694?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177\/2 + 91. Let q = b + -3. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 47*q**2 - 351*q - 70. Let z be h(-9). Let l(s) be the first derivative of 1\/6*s**3 + 9\/2*s**2 + 81\/2*s + z. Factor l(c).\nAnswer: (c + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51680983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q - 3. Let p be x(-6). Let c = p - -112. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 883472, -133, -1 in ascending order.\nAnswer: -133, -1, 883472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 27*d**2 + 14*d + 3. Let a be 6\/((-48)\/(-12) - 18\/4). Let z be (-3)\/a + (-513)\/36. Let c be l(z). Solve 12 = c*p - 0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11a234 (base 13) to base 9\nAnswer: 713136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27318803 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 + 18*n**3 + 264*n**2\/5 + 262*n\/5 + 87\/5.\nAnswer: (n + 1)**3*(n + 87)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 72*o - 215. Let r be h(3). Which is bigger: r or 11\/56?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 435 and (-6)\/(-5)*5 - -3.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*d + 7 = -2*g, 2*d - 23 = 5*g. Let n(l) = -8*l**3 + 2*l**2 + 2*l + 1. Let w be n(-1). Suppose 3*j - 6 = w. Sort 0, g, j in ascending order.\nAnswer: g, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861125011.\nAnswer: 19, 103, 440023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*x + 3. Let y(p) = 4*p**3 - 4*p - 4. Let h(d) be the first derivative of -3*d**4\/4 + 5*d**2\/2 + 5*d - 466. Give x*y(k) - 4*h(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -50*w. List the prime factors of l(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58605732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7232 and 1516.\nAnswer: 2740928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 215*f**2 + 106*f + 145. Calculate d(107).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0 + 11\/20*f**5 + 0*f**3 + 32*f**2 + 0*f + 0*f**4 + 1\/15*f**6. What is the third derivative of b(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddadddaa. Give prob of picking 2 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/(21\/12 + -2). Suppose -2*t - n*t = -3*w + 83, w = 5*t + 90. Suppose -2*c = 4*g + 32, 5*c = -0*c - 5*g - 80. Does t = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 39135*z**2 - 39170*z + 234840 = 0. What is z?\nAnswer: -3, 2, 7828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 683026352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = 32. Let o = 221 - 211. Let m = l + o. Solve 0 = -0*w - m*w + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(5\/3))\/h)**(-1\/40) assuming h is positive.\nAnswer: h**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - 63) + 14 + -2. Which is bigger: -52 or p?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105116989 * 3.\nAnswer: 315350967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21748707*i**5 - 2*i**2 - 20745*i - 38.\nAnswer: -1304922420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (68 + -20) - (-32 + -31).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 4. Let b be k(5). Let y = b + 9. Sort -0.3, y, 0.5 in ascending order.\nAnswer: -0.3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/29 and 10\/19?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04852 - 12072?\nAnswer: -12073.04852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, o: 13}. What is prob of picking 3 o and 1 b?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-7)\/(770\/(-288)). Let n = h + -1\/55. Which is the closest to 0.1? (a) 1 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262370783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, -1\/11, 0.3, -2 in decreasing order.\nAnswer: 3, 0.4, 0.3, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 5. Let t(q) = 38*q**2 - 13*q - 5. Let y(x) = 55*x**2 - 18*x - 7. Let l(s) = 7*t(s) - 5*y(s). Give u(l(i)).\nAnswer: -18*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 3*z + 11. Let v be (-1)\/7 + 83\/(-7). Is y(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 3)*(-u**4 - 2*u + 2*u + 2*u).\nAnswer: 6*u**4 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.65 + -0.2?\nAnswer: -24.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 2*f - 15. Let c be (6\/3 - -1) + 4 + -2. Let a be y(c). Solve -p - 15 = -5*w + 4*p, 3*p - 6 = a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*s + 3*i, -11*s + 3*i - 303 = -357 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -57383*o + 2180549. Determine s(38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose -36 = -3*i - 9*i. Suppose 4*y = 2*v - 6, -i*y + x + 0 = 0. Solve 0*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, o: 7}. What is prob of sequence vvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let a(h) = -h**2 - 20*h - 15. Let p(w) = a(w) + 4*l(w). What is the units digit of p(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-346)\/8650)\/((-1)\/55)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/66 - 34*a**3\/33 + 289*a**2\/11 + 42*a. Find n, given that k(n) = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -13\/2*r**2 + 12 + 4*r. What are the prime factors of f(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:29 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(2178))**2 + (sqrt(288)*2 - (sqrt(18) + ((sqrt(108)\/sqrt(3))\/sqrt(2))**2)))*5.\nAnswer: 105*sqrt(2) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-590)\/(-90)) + 4\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 1, x: 4, u: 1}. Give prob of sequence jux.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 116*q**2 - 860*q - 748.\nAnswer: -4*(q + 1)*(q + 11)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 1, i: 3, l: 1, o: 2, r: 3}. Give prob of sequence ifrr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, t: 3, u: 2, j: 1, e: 6, l: 2}. Give prob of picking 2 e and 1 v.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 23*j**3\/3 - 5*j**2\/2 - 25*j. Suppose 4*u - 5*w = 28, 6*w = 4*u + 3*w - 20. List the prime factors of k(u).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59250 and 225150.\nAnswer: 1125750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77864018?\nAnswer: 2, 223, 174583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13360 and 13360?\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-5)\/((-20)\/(-8)). What is the remainder when 6 - ((-12)\/t + 2) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38666, -38645, -38604, -38537, -38438?\n\"Answer: u**3 + 4*u**2 + 2*u - 38673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(133)\/sqrt(7) + -2)**2 - (sqrt(19) + (5*sqrt(475))**2 + 2 + sqrt(76))).\nAnswer: -46956 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103990.6 months in millennia?\nAnswer: 175.33255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*w + 15, -4*w - 28 = -3*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 11. Suppose 3*a + l - 24 = 0, 3*a - 3*l = 18 + 6. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in -1, 6, -5, -1\/7, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -333*w + 2342. Determine y(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 = -43*i - 809 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -15?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394 + -194. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2 + 1 - sqrt(6)\/sqrt(48))**2 + (1*sqrt(2) + 4 - sqrt(4)\/sqrt(2)*5) + 2.\nAnswer: -11*sqrt(2)\/2 + 65\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4 - 5 - m + 1. Suppose 13*w = 20*w - 28. What is j(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217bb8 (base 14) to base 15.\nAnswer: -176710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - k = -21, -4*r - 2*k = -4*k + 82. Let a = r + 16. Let x(m) = m**3 + 3*m**2 - 4*m + 3. Let n be x(a). Solve h + 16 = -n*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6666185.1323 - 1.3.\nAnswer: -6666186.4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808503.\nAnswer: 3, 17, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -8*a**3\/3 + 5*a**2\/2 - 3*a - 94. Let j(l) = 7*l**2 - 4*l + 3. What is -4*j(m) - 3*n(m)?\nAnswer: -4*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 55. Let n be t(17). What is the highest common divisor of n and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1869, 7886, 18053, 32376, 50861?\nAnswer: 73514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5\/6 + 2*z**4 - 3*z**3\/2 + z**2\/3.\nAnswer: -z**2*(z - 1)**2*(5*z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.46135 to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -14 = -18544379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6157.4032 rounded to the nearest 100?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/79872 and -59\/49152?\nAnswer: 638976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 273. Let w be i(39). Which is the third biggest value? (a) w (b) 4.7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 384 = -34*w. Suppose 18 = -0*o + o. Calculate the highest common divisor of w and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q + 238 + 246 - 485. Let z(x) = 10*x. What is l(z(f))?\nAnswer: -60*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from rwhhhwhbhwhh.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22743, -45547, -68353, -91161, -113971, -136783, -159597?\n\"Answer: -a**2 - 22801*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 10*r**2 - 3*r - 10. Let s = 9 + -19. Calculate the remainder when 39 is divided by v(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940743?\nAnswer: 3, 104527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/3 + 26*y**3 - 736*y**2\/3 = 0.\nAnswer: 0, 16, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -121.02. Let h = -0.08 - g. Let u = 1.0999972 + h. What is u rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 12:12 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1041 = 5*w, 2*w - s - 270 = 149. Let c be 2\/5 - (-279)\/15. What is the greatest common factor of w and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 32. Give a(-20).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -3. Suppose f + 12 = g*f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2\/((-12)\/3)). Let w = -340.84 + 342.84. What is the third smallest value in -0.33, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2. Let t(m) = 0 + 2 + 8354*m - 127*m**2 - 8357*m. Calculate t(g(l)).\nAnswer: -1143*l**4 - 9*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*w + 7. What is the tens digit of 1\/w - 125\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*p**2*y**3 + 65*p + 2*y**3 wrt p.\nAnswer: -280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/3*a - 1\/3*a**2 - 10\/3 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -77. Suppose 4*r + l*z - 1 = 5, 4*z = 4*r + 8. Suppose v - 24 = -19. Solve r = -5*c - 4*t, 0 = 4*c + v*t + 4 + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00667511 rounded to 5 dps?\nAnswer: -0.00668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 + k**4 + 3*k**3\/2 - 18*k**2 + 127*k. What is the lowest common multiple of v(12) and 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -638, -2 in descending order.\nAnswer: 8, -2, -3, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from hkpukuarakpu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(6\/(-12)). Let a be (-48)\/2 + 3\/n. What is the tens digit of a\/(21\/(-12) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317676427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95836039 and 3393.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - -15) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20*15\/10)\/((-2)\/3). Let z(d) = -5*d + u*d + d. Let i(v) = -2*v. What is i(z(t))?\nAnswer: -82*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*h + h + w, 3*w - 12 = -4*h. Let z = -42 - -42. Suppose -i + h*n - 2 = z, -5*i + 0*i + 2*n + 42 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1315 (base 6) to base 11.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 18}. What is prob of picking 4 d?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(-158*537\/(-2432252))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 3*g - 7 + 4 + (-g - 4*g + 4*g)*(2 - 2 - 3).\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*3 + 17 + -21. Suppose 2072 + 2660 = q*a. Let j = a - 210. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 71. Let u be (i + 3 - 3)\/(-2). Is 4\/33 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 4*t**3 - 4 + 3)*(-72 - 18*t + 72).\nAnswer: 72*t**4 - 36*t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -3*g**2 + 4*g + 4 + 1\/3*g**3. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41712 divided by 24\nAnswer: -1738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7))**(14\/5) assuming l is positive.\nAnswer: l**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34625.11 from -109.\nAnswer: 34516.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -2*o**4\/3 + 13*o**3 + 10*o**2 + 130*o. Suppose c(h) = 0. What is h?\nAnswer: -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -14. Let b = 0.1 - 0.1. Let n be (10\/(-60))\/(1\/(-3)). What is the third biggest value in b, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/(sqrt(20)\/sqrt(4) - sqrt(5) - sqrt(5)) + 2 + sqrt(272))*4)**2.\nAnswer: 192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/7 + 12*g**4\/7 + 51*g**3\/7 + 88*g**2\/7 + 48*g\/7.\nAnswer: g*(g + 1)*(g + 3)*(g + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392\/209 at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 552, 1091, 1618, 2133?\nAnswer: 2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(462) + (1*sqrt(462) - sqrt(462) - sqrt(462)) + sqrt(462))*-1)\/sqrt(11))\/((sqrt(6) + sqrt(96)*2 - sqrt(6)) + (2*sqrt(66))\/sqrt(11)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18248 is divided by 6077.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -166.\nAnswer: 5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2757033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -2, -3, -227, -4 in descending order.\nAnswer: 4, -2, -3, -4, -19, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44, 99, 156, 215?\n\"Answer: l**2 + 52*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -100539?\nAnswer: -100539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1131686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1451*c - 1005*c = -446 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -713\/14 - -346\/7. What is the third biggest value in a, -85, 1?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k + 8. Let g be p(8). Let o(j) = 2*j**2 + 16*j + 6. Let u be o(g). Let i(t) = -t**2 - 7*t + 5. Let z be i(-5). Solve u*h = h - z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-1 - (-3 - -3)). Let f(n) be the first derivative of 2*n**3\/3 - n**2 + 10*n - 101. What is the tens digit of f(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1135, 2604, 4399, 6520, 8967, 11740, 14839?\nAnswer: 18264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(40) + (sqrt(360) - sqrt(40)))\/((sqrt(2) + sqrt(8) + sqrt(2))*2))**2.\nAnswer: 9*sqrt(5)\/2 + 189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -4 (c) -0.5 (d) 460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 25, 1\/3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 1965 = -3579. Let m = q + 270. 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: Does 257 divide 122132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24693 + 740623\/30. Find the common denominator of (-3)\/99*20 - -1 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6179?\nAnswer: 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 2706*h - 4*h**3 - 6256*h + 2*h**3.\nAnswer: -h**3 - 8962*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 100, 146, 208?\n\"Answer: 8*t**2 + 6*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2010 + 2025. What is the highest common factor of 243 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, b: 4, l: 4, h: 5}. What is prob of sequence hnhb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59968 and 1088.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36*4680\/(-1755) - (-17)\/189?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 245 = 8*i + 5*g, 5*i - 1202 = -2*g. What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = 1261 - 10171. Does 33 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 243*c**2 - 33*c - 392. Is 64 a factor of r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 177, 4, -4 in descending order.\nAnswer: 177, 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4418 and 471661262.\nAnswer: 4418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttq when four letters picked without replacement from xtbxsbtbsbbqtb.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-504)\/(-104) - 8). Let v = -0.4 + 0.39. Let m = v + 3.01. Which is the closest to -1? (a) x (b) m (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2344 (base 7) to base 2.\nAnswer: 1101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:07 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740438 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6595*j + 3258*j + 3303*j = 340 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -299.145 - -0.145. Let u = g - -298.41. Which is the smallest value? (a) u (b) -0.4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/532 and 40\/4739.\nAnswer: 360164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -68*p + 74. List the prime factors of g(-7).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjgjjj. What is prob of sequence jjj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 52*g**5\/5 + 299*g**4\/12 - 152*g. Find the third derivative of o(s) wrt s.\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (sqrt(108) + 2)*-3).\nAnswer: -54*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7889668, 15779335, 23669002, 31558669, 39448336?\nAnswer: 47338003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8161, 14614, 21075, 27544, 34021, 40506, 46999?\n\"Answer: 4*k**2 + 6441*k + 1716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119\/4 - 30. Let q be (-1)\/(-6) - (-125)\/(-210). Which is the closest to q? (a) 0.3 (b) 3\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2664\/(-13 - -25) - -5. Let d = 416 - 59. Suppose 5*q = -3*r + d, -r + s = 3*q + 4*r. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + 630\/(-27). Let n be (2\/(-3))\/((-4)\/o). Let m(y) = 2*y + 1. Let q(g) = 3*g + 1. What is n*m(h) + 3*q(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1069*w + 10*w**2 - 1067*w + 2136*w + 0*w**2. Let s(v) = 20*v. Let p(f) = 7*f. Let n(a) = -10*p(a) + 3*s(a). Determine n(y(x)).\nAnswer: -100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, 38, 133, 248, 389, 562, 773, 1028?\n\"Answer: t**3 + t**2 + 71*t - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/7? (a) 2 (b) -790 (c) 3 (d) -2\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 4*i. Suppose i = -5*t + 1256 - 466. Suppose -6*v + 1252 = -t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*m - 190627296, -2*n = 2*n - 20. Let i = m + 90342437. What is i rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3103*i - 8273 - 53787 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 15) to base 6\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 + 21 + -19 + (-33 - 34).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 166. Suppose -7*f + 1309 + 154 = h. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*n**2 + 880*n**2 - 314*n**2 - 374*n**2.\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11249 - -2401?\nAnswer: -dd48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.666 + 2.26779\nAnswer: 1.60179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(4 + -6)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 457 - 219401*c + 31*c**2 + 114 - 73 + 219401*c in the form l*c + f + s*c**2 and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 17*p - 34. Let y be g(10). Calculate the highest common factor of 85 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17553 + 1047. Round u to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 138 = 2*n - 3*x, 5*x + 39 = n. Suppose 6*f = 14*f - n. Solve -7 = i - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172300 = 22*c - 21*c. What is c rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 4287*a\/2 - 6426.\nAnswer: -(a + 3)*(a + 4284)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - (-10)\/180*52. Factor o*l**4 + 0*l - 8\/3*l**3 - 2\/3*l**5 + 0*l**2 + 0.\nAnswer: -2*l**3*(l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 7. Let b be i(-6). Let p(y) = 1 + 3*y**2 - 1 - 1. Calculate p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38230588 and 0.04.\nAnswer: 38230588.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 6*w**2 + w + 4. Let o be g(-5). Suppose -5*m = -m - o. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**4 + 2*z + 0*z**3 + 1\/30*z**6 - 4*z**2 + 0 - 17\/15*z**5. What is the third derivative of c(b) wrt b?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 48 + (-4)\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l + 11. Determine y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9)*r*r*r**3\/r assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -2 (b) 44\/43 (c) -283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142354229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19704151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 12, 0.04.\nAnswer: 0.04, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 3*y**2 - y. Let v(t) = 1182*t**3 + 15*t**2 + 4*t. Determine -10*m(a) - 2*v(a).\nAnswer: -2374*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1264 (b) 0 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00721 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**3\/3 - 3*p**2\/2 + 5*p - 1. Let j(x) be the first derivative of q(x). What is the derivative of j(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103149 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 6063738?\nAnswer: 6063738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6506155114 + 0.4\nAnswer: -6506155113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 5 + 15)*(-24 + 24 - 7*d) - d + 2*d - 2*d.\nAnswer: -253*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 + 14*a - 9. Let w be n(6). Let f = -217 + w. Calculate the remainder when f is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - d + 18*d + 7*d to the form l*d + i and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Let c(d) be the third derivative of d**6\/120 + d**5\/12 - 5*d**4\/24 + d**3\/2 + d**2. Let i be c(-6). Sort i, y, 2 in ascending order.\nAnswer: i, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 17429, 15.\nAnswer: -3, 1, 15, 17429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3) - -2 - 3. Suppose -4*c + 17 = y. Put c, 1, -2 in descending order.\nAnswer: c, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -18*s**3 + s - 1. Let j(i) = -19*i**3 - 163*i**2 + 4*i - 1. Calculate j(x) - l(x).\nAnswer: -x**3 - 163*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100100 + -11?\nAnswer: -110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1405*j**4*x**2 - j**4 + 8*j**3*x**2 - 84*j**2*x**2 - 31*j*x**2 - x wrt j?\nAnswer: -33720*j*x**2 - 24*j + 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 28, 43, 68, 109?\n\"Answer: d**3 - 4*d**2 + 16*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1*(-2 + 0). Suppose -2*k + 13 = -4*c - 23, 0 = 5*k + 5*c - 15. Suppose -j + k = j. Solve -j*v - w = v - 9, w = 2*v + a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - -4.95. Let s = -5.2 + v. Let c be (-2 - -3)*(-7 - -4). Sort s, c, 0 in decreasing order.\nAnswer: 0, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s + 11 + 0*s + (0 + 3 - 4)*(-3*s + s + s))*(-3 + 3 + 2*s + (1 + 1 - 1)*(-3*s - s + s)).\nAnswer: -2*s**2 - 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y - 7. Let a be b(5). Suppose 2*d = 0, 0 = -a*i - d + 5 + 4. Suppose -2*n = -i*n + 100. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16222 - 89*z**3 - 16222 - 405*z**3.\nAnswer: -494*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 46 (c) 8 (d) -4 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 281?\nAnswer: 168.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37836 divided by 6\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 11*s - 11. Let a(j) = -j**2 - 2 + 0 - 2*j + 2*j**2. Let y(v) = -11*a(v) + 2*q(v). Let c(p) = -3*p**2. Give y(c(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = o - u, -5*u = -4*o + 25 + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1493 + -1494. Which is the nearest to g? (a) 0.2 (b) -193 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*q**3 - q**2 - 170*q - 114173?\nAnswer: 84*q**2 - 2*q - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 10. Let t(o) = -7*o. Calculate y(t(a)).\nAnswer: -98*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - -1 - (-12 - -15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m + 4*o = -18492, -m = -o + 9237. Round m to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5*(-4)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**10*j)\/j**(-11\/4))\/(j\/((j*j\/(j\/j**0)*j*j)\/j))**(2\/63) assuming j is positive.\nAnswer: j**(3473\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z + 2*x + 137 = 0, 2*x + 231 = 5*z. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyydkkkykdkyyyayyd. What is prob of sequence ydda?\nAnswer: 11\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/106659 and -10\/9255631.\nAnswer: 83300679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 13 = -3*q - 2, -4*q - 18 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 + 6*f + 6. Let u(n) = n**3 + 5*n**2 + 3*n + 17. Calculate the remainder when u(-5) is divided by o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((3\/(-3))\/8). Suppose -w - 4 = -4*p. Suppose -p*y - 4820 = -9*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52593 or 52573?\nAnswer: 52573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -3 - (-17 + 14 + -9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*i = 70. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101101100 + -10010011?\nAnswer: 1010011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (9 + -26)) + -2 - 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {k: 1, s: 3, z: 2, r: 3, d: 5, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - h - 5*h)*(-2*h + 3*h - 5*h) + (-28 + 28 + 49*h**2)*(-48 + 8 + 96) in the form t + g*h**2 + w*h and give g.\nAnswer: 2752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*3 - -4. Suppose 3*j - 6*j - 6 = -3*x, -t*x + 4*j + 14 = 0. Let u(n) = -n**2 - n - 2. What is u(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 32.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5)\/((k*k**(1\/2))\/k))**(-5))**24 assuming k is positive.\nAnswer: k**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*w**2 - 104*w**2 + 139*w**6 + 94*w**2 wrt w.\nAnswer: 16680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Suppose u + 3*u = 0. Let i be -2*(-3 - u)\/3. Let p(c) = c**2 + c**2 - 3*c**i - c**2. Give g(p(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -0*n - 4*n, 0 = 3*j - 0*j - 22*n + 176 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-17))**37 assuming n is positive.\nAnswer: n**629","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3, 0 = 3*u + 3*d - 102 - 48. Suppose z - 235 + u = 0. What are the prime factors of z?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r, 3*r = 2*x - 52602 - 1717. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (15 - 8) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6918376*n - 6918535*n = -7791 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 4) + 1 + 2. Solve 17 = -4*p - 3*f, -5*f + 5 + v = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*l + 0 - 7*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -3*l + 203. Suppose 0 = 2*k + 2*k - 16. Suppose -4*x - 6 = -2*t, -3*t - k*x = -56 - 3. Calculate the greatest common factor of l and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527560588 to the power of 1\/2, to the nearest integer?\nAnswer: 39084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*n**5 - 5736*n**4 + 3*n**3 - 1164646*n**2 + 35*n + 3.\nAnswer: -13620*n**2 - 137664*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + 3\/(-9)*-3. Let r(n) = -f + n + 11 + 2*n. Let d(i) be the third derivative of i**4\/12 - 19*i**2. Give d(r(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m + 1 + 27*m - 157*m + 72*m + 32*m.\nAnswer: 14*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037927?\nAnswer: 11, 157, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyy when three letters picked without replacement from {i: 2, x: 1, l: 2, e: 6, y: 3, d: 6}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -349047185 rounded to the nearest ten thousand?\nAnswer: -349050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (33 - (-89 - -107))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 629, 627, 625, 623, 621, 619?\n\"Answer: -2*d + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 0 = 9*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 5. Let v = -33 - -55. Let x be (3 - 2)\/(v\/(-4)). What is the closest to 2\/3 in j, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 4, e: 2, k: 2, q: 1}. What is prob of sequence ckq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + 4 - 2 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28834225?\nAnswer: 5, 7, 164767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76677938 is divided by 726?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 30 = 0. Let j = m - 6. Let n = j - 0. Calculate the remainder when 10 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -31. Suppose 4*r + y = -5*g + 4, -1 = -r - g. Let d - 2*d**2 - 28*d - d + 7*d**r + 8 = 0. What is d?\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28811427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + 130. Suppose 0 = -4*g - g + o. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 21404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51881 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -27. Let y(t) = t**2 + 13*t - 27. Let k be y(-15). Suppose 7 = -k*r + m. Solve c - 3 = r*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 9*b - 53. Let j be n(14). Let u = -98 + j. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 93*y + 33. Let j be s(4). Suppose 3*t + 63 = j. What is the highest common divisor of t and 2166?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1173, 1852, 2537, 3228?\nAnswer: 3925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6072 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j*j**(-1\/4))*j))**(6\/29)\/(j*(j\/(j*j**(-9\/4)*j))\/j*j*j*j**13) assuming j is positive.\nAnswer: j**(-1891\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2814 and 53064?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.561189 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 7*j. Let l be 36\/(-8)*((-3)\/27)\/((-10)\/60). Determine g(l).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 + -206. Let x = -463.000000663 - v. Round x to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - 4*w**2 + 6*w**2 - 2*w - 3*w**3 as t*w**3 + h*w**2 + r*w + f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.1 + 8. Let n = u + -19.6. Let y = n + 19. What is the nearest to 0 in -4\/5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (174\/(-406))\/(6\/(-28)). Suppose -4*w + 2*w = -12. Suppose 2*l - 1 = 4*k + 21, y*l = w. Let i(t) = -t - 2. What is i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**5 + 50*g**4 - 16*g**3 - 148*g**2 + 84*g + 18 = 0 for g.\nAnswer: -3, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.972 * -4.1\nAnswer: 3.9852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73609, -72279, -70935, -69571, -68181, -66759, -65299?\nAnswer: -63795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5714730 - k - 5714730. Suppose -2 + 26 = 4*n. Let c(q) = -n*q + 4*q + 13*q. Give f(c(w)).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.43 milliseconds in seconds?\nAnswer: 0.69543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*c + 59*c - 7*c - 387 = 369 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-173 - (22 + 0))\/(-3) - 38\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - (-5 - -9)) + -21 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-14)*2*178. Let l = -119 - f. List the prime factors of l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -124\/7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20*(-8)\/(-20) + -5. What is the third derivative of -114*i**2 + 38*i**n - 15*i**2 - 11*i**3 + 49*i**3 wrt i?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5113968181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:09 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -94. Suppose 37 = 4*m + 5*g, -6*g = 2*m - g - 31. Suppose -q = -7*i + m*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 9*u**2\/2 + 11293. Let k(a) = 8*a + 17. What is r(k(n))?\nAnswer: 72*n + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -282, -538, -772, -978, -1150, -1282?\n\"Answer: a**3 + 5*a**2 - 278*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 24*z - 360. Let k(j) = 3*j. What is k(a(u))?\nAnswer: 72*u - 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 - 162*j - 980. Give p(-7).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. Let q(p) = p + 2. Suppose -2*b + 0*b = 8, 5*s - 35 = 5*b. Let j be ((-15)\/(-4) - s)*12. Let z(y) = 4*y + 9. Calculate j*q(h) + m*z(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 6.5, 0.5, 18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17668 + -17663. Let q(i) be the second derivative of 0*i**3 + 29\/2*i**2 - 31\/20*i**a + 0 + 0*i**4 - 16*i. What is the derivative of q(o) wrt o?\nAnswer: -93*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -86. Let u = q + -4. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.2, 1, 2\/21 in ascending order.\nAnswer: -1\/4, -0.2, 2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) -9\/10 (b) 1\/5 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3136, -3137, -3138, -3139?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*h + 149716 = 0, -8*h = 2*o - 7*h - 59884. List the prime factors of o.\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11920 - 63?\nAnswer: -11983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.007, -7\/5, 106 in decreasing order.\nAnswer: 106, -0.007, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {p: 4, t: 1, u: 1, s: 3, n: 4, m: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73986*t**3 + 2*t**2 - 3*t - 19 wrt t.\nAnswer: 443916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let t be (-12)\/(-3) + b\/2. Suppose t*g - 9 = -0. Let l(y) = -2*y + 2. Determine l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75868\/3 - -25289. Is c > -0.19234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -82 + 38 + 38 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/22 + 26*h**3\/33 - 14*h**2\/11 + 20. Factor k(u).\nAnswer: 2*u*(u - 1)*(u + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 362 = -318. Suppose -d = -3*h - h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:13 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 2*o - 69*o**3.\nAnswer: -69*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/5, 293, 0.3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d594 - 8?\nAnswer: -d59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 - n**2 - 3 + n**2)*(1 - 2 - 7) + (3*n + n - 3*n)*(-45*n**2 + 211*n - 211*n) to the form i*n**3 + t + x*n + u*n**2 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817 + 295 = 87*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -171*a**3 - 3*a**2 + 55*a + 172*a**3 - 58*a. Let z(b) be the first derivative of -b**4\/2 + 4*b**3\/3 + 2*b**2 - 17. Give 4*k(w) + 3*z(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 11. Suppose g*d + 4 + 8 = 0, p - 54 = 3*d. Suppose 3*m - p + 12 = 0. What is the remainder when m is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:48 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 309 - 141 = 0. Solve -2*i + v = 7*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-28))\/(10\/((-1600)\/30))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 101*u**5\/20 + u**4\/6 - 13*u**3\/3 + 2*u + 27. What is the second derivative of s(q) wrt q?\nAnswer: 606*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y**2. Let t(q) be the second derivative of q**3\/6 - 434*q. What is z(t(v))?\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2706, 5408, 8110, 10812, 13514?\nAnswer: 16216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 432 + -171. What is the remainder when g is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 1:27 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:21 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:56 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 4010267?\nAnswer: 4010269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:46 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 37280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 10*a + 7. Calculate p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16175667.\nAnswer: 3, 5391889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1005 and -8\/33.\nAnswer: 11055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*s + 26, j = -3*s - 0*s + 13. Suppose -4*b = a + 19, -3*a = -s*b - a - 27. Let i be 8\/2*b\/(-4). Solve 0*n - i*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011200 - -12?\nAnswer: 1011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -84, -79, -74, -69, -64?\n\"Answer: 5*y - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13754*i**3 + 5*i**2 - 5*i + 3. Let r be j(3). Let t = r + -566391. What is t rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -14.5, -0.5, -71, 2\/21 in descending order.\nAnswer: 0.5, 2\/21, -0.5, -14.5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -30. Let p(r) = -r**2 - 11*r**3 + 19*r**3 + 3*r**2 + 35*r**3 - g*r + 3. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, m: 9}. Give prob of picking 1 m and 1 n.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 6 + -11 + 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.02 (b) -0.3 (c) 143 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12*i - 25*i = 0. Solve 2*f - f + 4*x - 17 = i, 3*x - 3 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccyc when four letters picked without replacement from ccccccccccwcywwc?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -50*o**3 - 2*o**2 + o + 2. Let d be p(-1). Let n = d + -40. Suppose -n + 19 = 5*r. Solve -3*l - y + r*y = -1, -2*l = -5*y - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 - 53 = 21*j - 16 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(2 + -2 - 1). Let m = 1 - 4. Let k = -0.39 + -0.01. Which is the biggest value? (a) m (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 = 3*p - 820. Is p equal to 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6557078 and -6512.14.\nAnswer: -6512.7957078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46092627 and -0.9?\nAnswer: 41483364.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.3 (c) 4 (d) 1265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 + 4*n + 16 - 1 - 10 + n**3. Let f = 57 + -25. Suppose 5*t + 7 = f. Determine j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 38. Let k be (0 + 2)\/((w\/(-9))\/(-8)). Suppose k*c - 132 = 7*c. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*h + 33*h - 2*h**2 + 35*h - 8*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 76 - 2 = 0. Suppose 0 = -d - y - 10 + 34, -3*d + 3*y = -90. Calculate the greatest common factor of i and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**3 + r. Let x(c) = -2*c + 1 - 1. Calculate b(x(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 155104109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-3) - (-9 + 11). Let w(y) = -2*y - 4. Let l be w(-5). Find the third derivative of 10*b**2 - 2*b**6 + 5*b - k*b - l*b**6 wrt b.\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9506 - -9506.159568. Let x = f - 0.16. Round x to five dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/8 - (-1)\/(-4). Let v(z) = -z + 5. Let d be v(x). Let f(k) = 7*k. What is the units digit of f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1472*s + 1475*s - 139 = u, 96 = 2*s - 4*u. Calculate the remainder when 80 is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 - 3*t - 7. Let u(r) = -r**2 - r + 2. Let p(z) = 3*u(z) + y(z). Determine p(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 47*s**2 + 4*s + 22. What is the tens digit of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -449.0701 - -0.0701. Let l = i + 445. What is the third biggest value in 1.16, -2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17157*i**2 + 100581 wrt i.\nAnswer: -34314*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 289469\nAnswer: 7\/289469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 310*t**3 + 867*t**2 + 16578*t.\nAnswer: t*(t - 307)*(t - 9)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:18 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/270 - 1663*z**4\/54 - 2765569*z**3\/27 + 2796*z**2. Let y(t) = 0. Calculate t.\nAnswer: -1663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -762.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 5*u**4\/12 + 17*u**3\/3 - 7*u**2\/2 + 88*u. Let s be m(-7). Solve -2*h + s*h + 6 = -2*t, 0 = 3*t - 5*h + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 15752.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 239.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3 (c) -510 (d) 4.197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 16) in base 15?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8*(-2)\/((-8)\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57244*r**3 - 260*r**2 wrt r?\nAnswer: -343464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2052, 4, -0.235?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 9*w**2\/5 - 34*w\/5 - 24\/5.\nAnswer: (w - 12)*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147365 times -192?\nAnswer: -412294080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Suppose -3*u + j + 8 = 0. Suppose 5*y - 6*l = -4*l, -4*y = -5*l + 17. Solve -u*w + 1 = -y*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 257*d**2 - 531*d - 70423. What is t(-258)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - -16 - (-6 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 671 and 755414.\nAnswer: 46080254","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 104325337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 8464*x**2\/7 + 751824*x\/7 + 16695396\/7 = 0.\nAnswer: -2043\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.047? (a) 1 (b) 2\/5 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by 6?\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 6, c: 4, s: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20\/49, 0.1, 8, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnrnbkbmknrknnfkk. What is prob of picking 1 r, 1 b, and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2360289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*i - 0*c - 102, -20 = -5*c. Let u = -53 + i. What is the third smallest value in 2, -1\/2, -1.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:31 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*i, -2*i - 2 = -2*z - 3*i. Solve 0 = 4*q - 4*w - 32, z*q - 3*q = 2*w + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42770 (base 8) in base 6?\nAnswer: -214532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0093? (a) -26 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -2\/9, 0.11, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 3, 880, 1, 5 in increasing order.\nAnswer: -1, 1, 2, 3, 5, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61, -224, -487, -850?\n\"Answer: -50*h**2 - 13*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 2 - 3 + 0*h**3 - 4*h**3. Give s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10394 + 10398. What is the lowest common multiple of h and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 192\/96125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 5*l + p, 5*l = -2*p + 15. What is the greatest common divisor of l and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*h = 5*p - 2997, -1495 = -p + 2*h. Let g = p - 38. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4862 and -7\/5198362?\nAnswer: 57181982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.0926l to millilitres.\nAnswer: 988092.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*n - 53663 + 53631 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 182*j**2 + 2199*j + 335. Let s be a(-169). What is the fourth smallest value in -7, 1, -3\/8, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 2. Suppose -7 - 8 = -5*k. What is d(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -18*g**3 + 6*g**2 + 244*g - 737. Determine l(3).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 8*j - 17*j)*(2 - 13 - 17).\nAnswer: 728*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 2\/5, 2, 1.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 833\/86?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 4*x + 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4245)\/10)\/(((-1)\/20)\/((-2)\/(-12)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441969 and 7980753.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**4\/6 - p**3\/3 + 2*p**2. Suppose -5*k - 11 = -1. What are the prime factors of w(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.415 - -0.055. Let v = p + 0.42. Let b = v - -1.1. What is b rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y + 5. Let m(g) = 2*g - 1. Let a(i) = -2*m(i) - p(i). Calculate a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-2 + -4)) + -1 + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and -528.53?\nAnswer: 528.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/252 and 69\/33880?\nAnswer: 304920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 41 = -7*n. Which is the closest to -0.1? (a) 0.3 (b) 0.04 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11184 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163126253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*r**3 - 46*r**3 - 48*r**3 - 33*r**3.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9603 divided by -52615\nAnswer: -9603\/52615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15713, -15689, -15665, -15641?\nAnswer: -15617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 8:58 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86185 is divided by 4464.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*k + 14. Let f be 10*(-1 + -1 - (-35)\/14). Solve f*c - k = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18153.\nAnswer: 3, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from zazzazaazgaazgzgazga?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -297441.8078 rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329206 by -329206.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 0.1, -18, -577\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/16*(-14)\/483.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204.914 - 119.077. Let q = o + -86. Let f = 21.037 - q. What is f rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 < 428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19) + sqrt(57)\/sqrt(3) + 2)*6 + 6*sqrt(171)*2 + 5)**2.\nAnswer: 1056*sqrt(19) + 43897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 4) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-24))\/14 - 150\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.252 + 116.748. Let y = -117.107 + b. Let w = -0.413 + y. Is 0.1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*5*(-1 + (3*sqrt(165)\/sqrt(3))\/sqrt(5))**2 + 2).\nAnswer: -540*sqrt(11) + 8994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*r - 58 = 0, -65 = -3*o - 3*r - 14. What is the remainder when 80 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 3*w**2 + w - 2. Let n be (-48)\/(-22) - 2\/11. Let p be f(n). Suppose p - 16 = -4*s. What is the remainder when s is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**0))**(2\/17)\/((y\/(y\/((y*(y\/y**(2\/7))\/y*y)\/y))*y)\/y*y**(-3))*((y\/(y\/(y**(-7)\/y)))\/(y*y*y**(2\/3)\/y))**(4\/5) assuming y is positive.\nAnswer: y**(-572\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*k - 1 + 361*k + 476*k.\nAnswer: 682*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -1007 (c) -3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 2.98. Which is the nearest to 2? (a) v (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8244 times 82.11\nAnswer: -676914.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f + 39. Let x be -1 + f\/(-15) + -2. Let m = 0.36 - 0.36. What is the second smallest value in x, 5, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 14) + -14 + -19.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 6:17 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -17, 3, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 0*o + 39 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (-5 - (-9 - (9 + -17) - -6)) - -7.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23*v**2 + 11*v + 17. Let x(r) = 28 - 15 - 4*r**2 + 0*r - 2*r - 16. Let h(n) = -6*t(n) - 34*x(n). Find the second derivative of h(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.7488 millilitres in litres?\nAnswer: 0.5227488","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is -41634691 != -41634691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 83. Let w be 8228\/14 - b\/(-84). What are the prime factors of 1\/(-6) + w\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2 - 11*c - 4. Let s(g) = 36*g**2 + 56*g + 20. Let z(y) = 16*a(y) + 3*s(y). Factor z(j).\nAnswer: -4*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 207 = 729. What is the highest common divisor of 624 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + (-9)\/((-486)\/444). Put 11, -3\/7, x in ascending order.\nAnswer: -3\/7, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/64 and 67\/35.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*1*2614. Suppose a - 3*t + 2037 = 2*a, 0 = -3*t. Let q = a - w. What is q rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ojq when three letters picked without replacement from koljkjq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 31435889.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7))**39*(j**(1\/5))**13 assuming j is positive.\nAnswer: j**(-494\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m - 3. Let i = 9 + -5. Let t be j(i). Let c be (2\/(-6))\/(t\/(-9)). Solve 5*f + 2*z - c - 6 = 0, -3*f - 4*z = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1856.64 to the nearest 10.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*z - 4*g, 5*g - 13 = -2*z - 35 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -533269, -1\/9, 1 in increasing order.\nAnswer: -533269, -1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + 4*o**3 - o**3 + (3*o**3 - 7*o**3 + o**3)*(24 + 62 + 27)*(3 - 5 + 3)*(-1 + 0 + 0) to the form x + a*o**3 + c*o**2 + s*o and give a.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**3 - 4*t + 12. Let u(h) = h**3 - h + 1. Give d(k) - 4*u(k).\nAnswer: 2*k**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23838 is divided by 1185?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 2*z)*(4*z - z - 2*z)*(9*z - 4*z - z)*(-3 + 4 + 0).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1216) + -1)*2*-2)**2.\nAnswer: -256*sqrt(19) + 19475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 33. Let u = v - 8. Is -4 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/68)\/(30\/7)*4\/14?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -324b + b?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.201995 litres?\nAnswer: 8201.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3443 or 3444?\nAnswer: 3444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-106*u**2 + 13*u**4 + 106*u**2).\nAnswer: -13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 533*t - 6. Let v(p) = 534*p - 4. Give -3*f(h) + 4*v(h).\nAnswer: 537*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - i = 3, 7 = 3*o + 2*i - 8. What is the first derivative of x**3 + 0*x**o + 1 + x**3 - 4 wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*r + 26*r**4 + r + 4*r + 2*r**2 wrt r.\nAnswer: 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7761340 to the nearest 10000.\nAnswer: -7760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -159, -354, -621?\n\"Answer: -36*z**2 - 15*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1118 + -1135. Let k(w) = -w**2 - 17*w - 2. Give k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4953101 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 18*g**2 + 18*g + 19. Let d be m(17). Calculate the common denominator of (-182)\/d*(-40)\/56 and 385\/(-300) - 2\/(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d + 32*d + 225 = -20*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1896 and 3160?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, r: 4, c: 6}. What is prob of sequence cnnr?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70122345.6595 + -70136501. Let t = v + 14162. Let u = t - 6.7. What is u rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1\/(-3)*-4. Let t = -2388784\/11 - -217162. Sort 2\/9, -1\/3, s, t in decreasing order.\nAnswer: 2\/9, t, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 21*l - 29. Suppose 0 = 16*g - 147 - 173. What is the tens digit of z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(153)\/sqrt(9).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1)*(6 - (-2 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 11*h**2 + 10*h - 17. Let p be u(-12). Suppose 5*k + 4 = p*k. What is the second derivative of -11*s - 2*s + s**k + 15*s**2 wrt s?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*r - 11. Let i be ((16\/12)\/1)\/r. Put 0.6, -2, i in descending order.\nAnswer: i, 0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 907 - 221. Let i = 584 + k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7)*1 - ((sqrt(7) + -2 + sqrt(7) + sqrt(7))*1)**2.\nAnswer: -67 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2650 divided by 106.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s**3 + 5*s - 5*s)*(-2*s + 0*s - 2*s) to the form i*s**4 + o*s + f*s**3 + y + k*s**2 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t - 77274 = -4*u, -t = -5*u + 96597. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.3 (b) 73 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 17*d**2 + 65*d - 11. What are the prime factors of p(20)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:00 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/2*u**2 - 9\/2*u**4 + 0 - 2*u**5 + u**3 + u = 0.\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -28651?\nAnswer: 28651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 44*p**2\/3 + 100*p\/3 + 16 = 0. What is p?\nAnswer: -12, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118738 a multiple of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 9 + 0*u - 3. Let h(i) = -14*i + 17. Let o(n) = 17*c(n) - 6*h(n). Let x(r) be the second derivative of -r**3\/3 - r. Give x(o(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 + 240.7. Let k = p - -44.300000514. What is k rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 6528?\nAnswer: -6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/56 and -103\/26680?\nAnswer: 186760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999, -2019, -3097, -4263, -5547, -6979, -8589?\nAnswer: -10407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 = 4*l, -p + l + 7 = -3*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (94\/(-15))\/(-2) + -3. Let k(w) = w**3 + 10*w**2 + 8*w - 13. Let x be k(-9). Which is the second biggest value? (a) 0.5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/4 + 43*p**4\/4 - 41*p**3\/2 - p**2\/2 + 83*p\/4 - 41\/4 = 0. Calculate p.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, -3, 0, -12, -2, -1 in descending order.\nAnswer: 0, -1, -2, -3, -12, -133","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s*s**(2\/7)\/s*s\/(s*s**(-1\/3))*s**(-1)\/s*(s**(-2\/3))**(1\/3)*s**(-3\/8)\/s*s**3 assuming s is positive.\nAnswer: s**(1019\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8139914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.228, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - (-23 + (-46 - -42))) + -33 + 0\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and 0.002.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 12 = -3*b. Suppose -5*r + 183 = 2*s, -b*r - s + 57 = -87. What is the highest common divisor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7827668 to the power of 1\/2, to the nearest integer?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 655270 and 920?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, 4, 10, -1 in descending order.\nAnswer: 14, 10, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 248 in descending order.\nAnswer: 248, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 731?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, z: 2}. What is prob of sequence mzm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -52*v. Let w(r) = -3*r. Determine w(u(t)).\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96, -340, -760, -1368, -2176?\n\"Answer: -2*v**3 - 76*v**2 - 2*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let y(n) = -16477353*n**2 - 2*n. Give i(y(r)).\nAnswer: -32954706*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 + 378. Suppose y - 12 = 4*x, y - 12 = -3*y - v*x. Solve -5*j = -5*q - 30, y*q - 14 = -5*j - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 3*r - 6 - 5*r - 3. Calculate the remainder when 3 is divided by x(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 294 + -293. Is -0.2 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:28 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose h - 7 = 5*p. Let v(k) = -13*k + 2. What is the remainder when 29 is divided by v(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:20 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2) - 4) + 6. Let m be 2\/10*(1 - 2). Let l = 0.14 - -0.16. Which is the closest to n? (a) m (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296735268 divided by 3756\nAnswer: 79003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -v - 50. Put 1\/3, v, -5, 0.3 in ascending order.\nAnswer: v, -5, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2012 is divided by 397.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - z - 2*z**3 - z as q + p*z**2 + r*z**3 + v*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -385*v**2 - 14. Let f(r) = 4*r. Give o(f(k)).\nAnswer: -6160*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = 7*q - 3*q, 5*q - 25 = -3*s. Suppose -5*x = 3*g - 15, 0 = -4*g - x - q*x + 9. Suppose 3*n + 0*n - 30 = g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14734645 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*g + 20 = 107*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 - -3)) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 33 + h + 19.\nAnswer: 6*h - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 650 = -v. Suppose 4*x - v = -x. 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: Suppose 0 = 8*b + 4 - 20. Find the first derivative of -5 + 2*k**b + 24 - 10*k**2 wrt k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/7)\/c**(4\/7)*(c**0)**(8\/5) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -311333001330 (base 4) to base 7\nAnswer: -231200622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-3))\/(20\/75).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9479 * 6010.\nAnswer: 5696.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 558309 and 76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62248, 124395, 186542, 248689, 310836, 372983?\n\"Answer: 62147*o + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggttgygggyg. Give prob of picking 1 y and 1 t.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*z + 4*c - 8*c, -2*c - 53 = -5*z. Suppose -z*k = -8*k - 33. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-9))\/(4\/6). Suppose -g*c + 2 - 2 = 0. Let s = 19 + -18. Sort -6, -5, c, s.\nAnswer: -6, -5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let u = q - 2.4. Sort u, 0.5, -2\/15 in decreasing order.\nAnswer: 0.5, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.89 - -33.73. What is l rounded to 0 dps?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(3 - 4 + 2)*(-6 + 1 + 3 + (0 - 3 + 2)*(-1 + 5 - 3))*(6*t + 4*t**2 - 6*t)*(126*t - 76*t + 19*t).\nAnswer: -828*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + -2.42. What is s rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 7760?\nAnswer: 54320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 - 4*b + 7*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (-13 - (0 - 31))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1094 + -769. Suppose -w + 25 = a. Round a to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 2*g. Let l(f) = 8*f**3 - 7*f. Give 6*l(x) - 22*p(x).\nAnswer: 4*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1980 = -7*g - 622. Suppose 174 - g = -2*l. Calculate the highest common factor of l and 200.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**2 + 7*h - 6. What is the derivative of d(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -47 - 52. Let x be (-2)\/(22\/m*(1 + 2)). Let b be x\/(-2) + (-4)\/(-10 + 6). What is the fourth biggest value in -0.4, 0, b, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 2\/7, 0.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7680 + 8637?\nAnswer: 15207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (90\/(-525))\/(20\/(-70)). What is the smallest value in -1, o, 0.3, 61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419653 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: Let l = -118 + 74. What is the common denominator of -23\/9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)*i**(-1\/2))\/(i\/i**(2\/9)*i*(i**4\/i)\/i) assuming i is positive.\nAnswer: i**(-83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (2 - (-21)\/(-6)). Let a = 7116\/39259 - -2\/3569. What is the third smallest value in -2\/7, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27320 and 8196?\nAnswer: 81960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649835796 to the power of 1\/5, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:03 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfxf. Give prob of picking 1 d and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**5 - 4*l**5 - l**5 + (-3*l**4 + 0*l**4 + 5*l**4)*(3*l - 2*l - 3*l) - l + 1551*l**5 - 2*l + 3*l + 251*l**5.\nAnswer: 1797*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.008 and 1690?\nAnswer: 13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y + 1. What is h(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3618*p. Let b(v) be the second derivative of v**4\/6 + 12*v + 23. Give b(c(t)).\nAnswer: 26179848*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 2*l**3\/3 + 1. Let g(f) = -20*f**2 + 50*f - 25. Let j(c) = -5*c**2 + 12*c - 6. Let b(x) = -6*g(x) + 25*j(x). Give y(b(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 2, z: 3, n: 2}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -29. What is a in -4*a**5 - 1255*a - g*a**4 + 16*a**2 + 1255*a = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3603, 3571, 3539, 3507?\n\"Answer: -32*h + 3635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2190912571 and -0.395.\nAnswer: -2190912571.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10939368 and 21?\nAnswer: 76575576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196 - 174. Suppose -n*v + 25*v = 5541. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 102022200?\nAnswer: 102022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -41, -134, -303, -572, -965?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 40229 = 39392 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.3. Let p = 34 + -15. Let l = p + -15. What is the third biggest value in q, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*-5*(sqrt(171) + 5*sqrt(171) + sqrt(171) + sqrt(171)))\/(sqrt(324)*-2*-4).\nAnswer: 2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + c - 6*c + 5*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2758\/13 + 212. Put -5, -0.2, 15, d in ascending order.\nAnswer: -5, -0.2, d, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.017 + -35.017. Let d = 34.9924 + q. What is d rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(0 + sqrt(72)))**2 + -4.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17*w - 39. Suppose -47*a = -49*a - 26. What are the prime factors of j(a)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let v(l) = 5 + 2 - 868*l + 0 - 7. Calculate g(v(k)).\nAnswer: -868*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1 + 0*v**2 + v**2 + 2 + v**2 - 2*v. Let n(q) = q**3 + q. Calculate k(a) + 2*n(a).\nAnswer: 2*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7300223 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50772182 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 + 2 - (2 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 5 (b) 9 (c) 65 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*z**2 - 3 + 0 in the form a*z**2 + q + y*z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 - 7*d + 6. What is c(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -382.7 + 383. Which is the nearest to 3? (a) l (b) -9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 17*h**2 - 36*h + 5. Calculate the remainder when r(-6) is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 - 19*y - 35. Let x be p(-3). Solve 4*b - 126 = x*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d. Solve h + 15 = -5*x, 2*x - 2*h - h + 6 = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 14*(-39)\/1274.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 85690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 31*t - 69*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 - 14 = 0. Let p = -11 - -9. Let w(t) = -2*t**3 - 4*t**2 - t + 2. Let r be w(p). What is the closest to 0.1 in -3, u, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - 90\/(-364). Let x = 43192 - 43199. Which is the smallest value? (a) 1\/4 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 104*j + 13. Suppose -3*o + 4 = -7*g + 3*g, 0 = -2*g - 3*o + 16. Let d be u(g). Let v = d - 93. 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 727514858 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 14. What is the tens digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**2 + 2*p. Suppose g = 4 - 1. Let t = 2 - g. Let y(c) = c**2. Let k(b) = t*q(b) - 4*y(b). Find the second derivative of k(x) wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000061546 rounded to 7 decimal places?\nAnswer: -0.0000615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:22 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f + 52 = -4*g, -27 = -2*f + g. Let c = -2 + 2. Let r = c + f. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + 1 - 1 + 0*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/6)\/((-6)\/4*(-48)\/216)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p. Let j be n(-4). Let c be (-1 - 70\/(-6))*-3. Calculate the common denominator of (6\/j)\/(22\/c) and 36\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 22740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 14\/3*h + 132 - 2\/3*h**2 = 0.\nAnswer: -11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**3 - 6*s**2 + 80061*s - 160147*s + 80086*s + 5*s**2.\nAnswer: -15*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -603 and -0.047.\nAnswer: 28.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 2*f**2 + 2*f**2 + (0*f - f + 6*f)*(4*f + 5 + 2 - 4).\nAnswer: 21*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - n = -12, 0 = -5*t + n + 4*n + 15. Suppose -7 = -t*p + 3. Let l(v) = -2*v - 1. Let j(x) = 11*x + 7. Let u(m) = j(m) + 5*l(m). Calculate u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-3*u**2 + 2*u**2 - u**2)*(-u + 48*u + 37*u) to l + v*u**3 + g*u**2 + j*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18507792 a multiple of 1750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/4 + 124*k + 495\/4 = 0 for k.\nAnswer: -495, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30869\/(-16))\/((-72)\/(-96)). Let m = l + 2574. Find the common denominator of 92\/45 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67201? (a) 1\/4 (b) -194 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baw when three letters picked without replacement from {z: 6, a: 3, w: 4, b: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -740*y - 657*y - 833*y + 345*y.\nAnswer: -1885*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = 406 - 136 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - (5 - 6)) + 1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 1, m: 2, b: 2, o: 1, v: 2}. What is prob of sequence ovob?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*n + 64, 3 = 3*n + 12. Suppose 10*f + 157 = 17. Let q = f + 16. Calculate the lowest common multiple of q and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 34 + 26. Let w(j) = 2*j**2 + 25*j + 12. Let f be w(a). Solve l = -f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 + 1080*l + 57195 = 0.\nAnswer: -123, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Suppose 5 = t*z - 5. Suppose 3*w + 2*n = 44 + 34, -15 = -z*n. Calculate the smallest common multiple of 18 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**3 - 8*g**2 - 10*g. Let r(c) = -c**3 + c + 1. Let y(u) = b(u) - 3*r(u). Let n be y(-5). List the prime factors of n\/(-4 - -7) + 0.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5591?\nAnswer: 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 2*o = -85. Let y be (872\/6)\/(o + 102\/18). Suppose -2*r + 4*v = -y, 5*r - 6*v + v - 520 = 0. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -10. What is the tens digit of a*((-4)\/(-8) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((30\/4)\/(-1)). Suppose 7*p - 15 - 20 = 0. Which is the closest to 0? (a) k (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 80, 70, 54, 32, 4, -30, -70?\n\"Answer: -3*c**2 - c + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14 = 24. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684))**2*6 - sqrt(19)) + ((sqrt(228)*2 - sqrt(228))\/sqrt(12))**2.\nAnswer: -sqrt(19) + 4123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242764 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 192027492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (342\/2052)\/(4\/(-15))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/270 - 5*p**4\/36 - 16*p**3\/27 - 248*p**2. What is q in b(q) = 0?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/6*-42*222\/211344.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30538 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: Collect the terms in -6*c**3 + 362*c - 77*c + 2*c**3.\nAnswer: -4*c**3 + 285*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2160 and 1.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 5*r - 0*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - (2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvevvvvvvvvvvvvv. Give prob of picking 1 e and 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*i + 9. Let b be 1*279\/i*-1. Suppose b = 2*g - 9. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6700 + 1398 = -340*q - 6182 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - z - 1. Let k(h) = -30*h**3 + 6*h**2 + 6*h + 6. Calculate -k(f) - 6*m(f).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 4, -50, -188, -446, -860, -1466, -2300?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**3*r**2*s + 3*o**3*r + 20769*o**2*r**2*s**3 + 2*o**2*s**3 - 34174*r*s**2 wrt r.\nAnswer: 8*o**3*s + 41538*o**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 696442697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 22812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -23, 2784 in increasing order.\nAnswer: -32, -23, 2784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -50, -73?\n\"Answer: -23*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, 119, 343, 679, 1139, 1735, 2479, 3383?\n\"Answer: 2*y**3 + 38*y**2 - 4*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**2)))**(-44) assuming n is positive.\nAnswer: n**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 111816371, 111816372, 111816371, 111816368, 111816363?\n\"Answer: -h**2 + 4*h + 111816368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -778 + 15563\/20. Let g = -3\/5 - y. Let f = -347\/2490 - -1\/166. What is the closest to -1\/3 in f, -2\/7, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 27. Let b(t) = t**3 - 20*t**2 + 20*t - 9. Let u be b(19). Calculate the remainder when 145 is divided by c(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 at least -797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 5538?\nAnswer: 44304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387993?\nAnswer: 3, 283, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 + 2 - 5 + 0*y + 11*y + 2.\nAnswer: -6*y**3 + 11*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(0 + 4*(348\/(-72) - -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + 121*f**3 - 14*f - 8*f - 5*f.\nAnswer: 121*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -372706 >= -372707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + (8 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 901\/106 + (2 - 8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -34.73, 0.4, 1\/4, 6032?\nAnswer: 6032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2274275.\nAnswer: 5, 90971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - -9 - (-10 + 0 + 45 + -6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289985 = 5*i + p, -5*i - 161676 = 4*p - 451661. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1011 + -733. Let a(b) = -b**3 + 7*b**2 - 6*b - 12. Calculate the least common multiple of a(5) and n.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1359765 divided by 1359765\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332222 + -101233?\nAnswer: -11100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 122, -7, -0.4, 0.2, -3\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/20 + 13*f**5\/20 - 5*f**4\/2 + 9*f**3\/2 - 4*f**2 + 3*f. Factor p(g).\nAnswer: -3*(g - 1)**2*(2*g - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(7\/((-2310)\/(-48))) - -7. What is the nearest to -1\/3 in t, -31, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 10 = -5*o. Factor 5*z**3 + 2*z**3 - 17*z + 0*z**2 - 5*z**o + 15*z.\nAnswer: z*(z - 1)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4 + (sqrt(1539) + (sqrt(1539)*-2 - sqrt(1539)) + sqrt(1539) + sqrt(19) - sqrt(19)))*-5 + 4)**2.\nAnswer: -1440*sqrt(19) + 38731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 4. Let i(g) = g**3 - 12*g**2 + 10*g + 9. Let j be i(11). What are the prime factors of r(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -11*z + 11. What is the first derivative of -35 - 179*g + 179*g - 8*g**z + 4*g**2 wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 - -312. Is 20 a factor of 5 - ((-780)\/o)\/((-4)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11226 = -66*j + 60*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -620 and -1.\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 155 - 98 = 0. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-1375) - 74\/(-300)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 3516188947?\nAnswer: 3516188942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.48262 to 2 decimal places.\nAnswer: -15.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose r = -3*i + 8, r + 0*r = -5*i + 14. Suppose 70 = i*y + 2*c, 2*y = -2*y - 3*c + 94. What is the greatest common factor of y and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -11010112121?\nAnswer: -11010112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 780266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19282909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g = -198, -4446489*g + 4446488*g = 5*t - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 196781, -5, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 29703740*w**2 - 59407465*w - 29703730.\nAnswer: -5*(w + 1)**2*(w + 5940746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/(1*(-4)\/(4*-1)). Calculate the highest common divisor of o and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2194363 and 88703.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*b - 2*b**2 + 3125 - 3126 + 50*b - 4*b**4 to the form a*b**2 + p*b**4 + u + m*b**3 + t*b and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 1 = 29. Let f = -1 - -1. Suppose f = m, -x*m = 3*h + 3*m - 33. What is the least common multiple of h and 29?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 652*s + 2. Let o(b) = 326*b + 1. Calculate 5*o(i) - 3*t(i).\nAnswer: -326*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55.4 + 134.3. What is c rounded to 0 decimal places?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26850712 take away 0.0088746?\nAnswer: -26850712.0088746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 19. Let l(o) = 30 - 9*o**g - 30. Let a(i) = 980 + 3*i**2 + 988 - 1968. Determine a(l(r)).\nAnswer: 243*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(144\/(-135)*-5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.504 + 0.096. Let u = -8.4 + x. What is the smallest value in -0.05, u, -0.01?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.052583 * 14.\nAnswer: 0.736162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6 + -5 + 3)\/((-364)\/42)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/48 and -17\/3984.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7179173 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -443855\/6 != -73976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.042? (a) -0.1 (b) 3 (c) -15 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2142765 divided by 15\nAnswer: -142851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -77. Let w = 48 + l. Suppose -k + w = -4*c, 3*k - 14 = -3*c + 4*c. Solve -h - 1 = 3*b - 4*b, 3*b + 21 = -k*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 3. Let i be j(0). Let n(o) = -4*o**2 + i*o**2 - 4*o**2. Let b(d) = -d. Calculate b(n(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -112244?\nAnswer: 112253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*j + 247 = j, 212 = -3*h - 2*j. Let n(x) = 14*x + 13. Let u be n(9). Let t = h + u. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**2 - 99*z + 100. Let b be h(1). Suppose 5*g - 57 - 18 = 0. Let n = g + b. Solve -3*m + 15 = -3*j, 2*m + 0 - n = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475724*v = 476052*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 10. Solve -n + 0 = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1243*r + 973*r + 7020 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 6*q**2 - 4*q - 5. Let v be i(5). Suppose -c - 8 = -v*c. Let u(a) = -a**3 - 2*a**2 + 12*a + 7. Is u(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l**2 + 2547 - l**2 - 843 - 848 + 2*l - 851. Let x be ((-2)\/4)\/((-2)\/(-16)). What is v(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 720 = 17*t. Suppose -5*k + d + 1188 = 0, -t = -3*k - 2*d - d. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36406 (b) 526 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378 a factor of 61894649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -105. Suppose -21 = -3*j + y. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3220, -6527, -9834?\n\"Answer: -3307*u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1108?\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3)*((3 + 3 - 4)*(0 + 0 - g) - 4*g + 5*g - 2*g + g - 5*g + 2*g - 4*g + 2*g + g - g + 0*g - g) as d + a*g and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35978?\nAnswer: 2, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8 (b) -40261 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(91)\/(1*sqrt(7)) + 0 + sqrt(1573))**2.\nAnswer: 72*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 5*a**4 - a**4 + 2 + (1 - 6 + 1)*(a**4 + 2*a**3 - 2*a**3).\nAnswer: -5*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -1\/2?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481036 is divided by 1266?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163569109*l**3*p - 6770185*l**3 wrt p.\nAnswer: -163569109*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 19 = 2*x + 4*m, -2*m = -2*x + 8. What is the common denominator of 2*219\/(-108) - x and (-390)\/4*(-4)\/80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(60)\/(sqrt(84)\/(sqrt(7)*-4) - sqrt(12)).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 4*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 10*r**2 - 13*r + 25. Let m be i(11). Suppose -m*a = 2*b - 177, a - b - 59 = 2*b. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 79 = -o, -d - 2*o + 6 + 12 = 0. Let w(f) = -7 + d - 5 + f. Let c be w(-8). Solve -r - 3 + 0 = c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -27 + (-8 - -1) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 113277*q**2 + 2. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 344102 and 1032306?\nAnswer: 1032306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 4*q - 3*q)*(19 - 17 - 35)*(-1 + 1 + 1).\nAnswer: 66*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111001111 (base 2) in base 6?\nAnswer: 50331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g*j**2*n**3*o - 60*g*j*n**2*o + g*j*n + 2288*g*n**3*o - j**2*n**2 + 48*j**2*o - 2*o wrt n?\nAnswer: -60*g*j**2*o + 13728*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4984 and 4837.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 4, 9, 12, 13, 12, 9?\n\"Answer: -u**2 + 10*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 - y + 3.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791*b = -744*b - 1222. Solve -14 + b = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6*r - 1. Let z be b(3). Let c = z - 3. What are the prime factors of (0 + c)*(-6 - -3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64.64034us?\nAnswer: 0.000001077339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1545 divide 214773540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147468706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476, 4064, 13806, 32780, 64064, 110736, 175874?\nAnswer: 262556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 7*m**5\/30 + 2*m**4\/3 + 3*m**3 + 15*m**2 - 4. What is the hundreds digit of t(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhjhhhjhj. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 1, f: 1, m: 2, n: 2, w: 10}. Give prob of picking 1 f, 1 w, 1 l, and 1 n.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -3*z**2\/2 + z + 1. What is the remainder when 14 is divided by b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000192588 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 64, 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5548*b + 8995.\nAnswer: -5548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -101.2, -2 in decreasing order.\nAnswer: 1\/8, -2, -101.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**2 + 2*c - 13. What is the remainder when j(3) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2252*m**2 + 182*m + 182. What is the remainder when c(-1) is divided by 73?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*j = -9, -2*z - 19 + 7 = 4*j. Put -11, -15, z, 6, 1 in decreasing order.\nAnswer: 6, 1, z, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/4)\/((-155)\/2015)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1321563 - -152?\nAnswer: -1321411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774378554*k**2 + 387189254*k**2 + 387189299*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 - 0.5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -120022011?\nAnswer: 120022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19*1 + (0 - 1). Let f be 0\/(-1)*(-9)\/x. Suppose 0 = 5*c - 5*h + 1 - 11, -4*c - 4*h = f. Is -2\/11 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (53 + -34 + -73).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 - p + 3. Let x be f(4). Let s = 1 - 2. Let k = 3 + s. What is the second biggest value in k, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226700 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -33*a + 506. Suppose a*g + 83 - 281 = 0. Solve 29 = 4*l + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z**(-1\/5)))*z)\/(z*z*(z**9\/z)\/z*z*z)*(z**(-2))**(3\/14) assuming z is positive.\nAnswer: z**(-302\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1755 and 16127085?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -604624 divided by -248?\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2. Let z(v) = -13166*v**2 + 6873. Give z(y(g)).\nAnswer: -118494*g**4 + 6873","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxccxcucuceacx. Give prob of picking 1 a, 1 u, 1 c, and 1 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:32 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5))**17)**7 assuming o is positive.\nAnswer: o**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104197 and 8816.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**4 - 9 + 9 + (-x**2 - 2*x**2 + x**2)*(5*x**2 - 4*x**2 - 5*x**2) + (x**3 - 3*x**3 + 5*x**3)*(2*x - 5*x + x).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a - 40*a - 6*a + 2 - 22*a - 31*a as y*a + u and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 - 2271. Let z = x + 1749.99998427. What is z rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {h: 2, k: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-3)\/6 - -8*51\/272. Put -16, 2, -6, a, 5 in decreasing order.\nAnswer: 5, 2, a, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 2947 = 3772. Calculate the highest common divisor of n and 1540.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (70\/4 - 75\/(-30))*1. Find the third derivative of 21*c**5 - 42*c**5 - c**2 - 42*c - 18*c**3 + b*c**5 wrt c.\nAnswer: -60*c**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 23. Suppose 16*p - 13*p = 0. What is i(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150798123 a multiple of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = p - 104. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 235830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110719?\nAnswer: 7, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518632?\nAnswer: 2, 241, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -67 (b) 2\/3 (c) 3 (d) 0.03 (e) -0.299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -9*a + 29. What is the remainder when 55 is divided by 17\/(a - (0 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -540283\nAnswer: -13\/540283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*q + 17 = 0, q = -0*q + 1. Suppose 214 = 4*n + 2*j, 201 = v*n - 4*j - 86. Suppose 16*s - n = 5*s. Solve s*f = -15, -3*i = -5*f + 3*f - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12696 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2)\/(0 + 1). Let d be m + 1 - 10*-1. Suppose -2164*q + 45487 = 203*q - 136772. Calculate the greatest common factor of d and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -20. Sort 4, 0, f in increasing order.\nAnswer: f, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - l + 1 - 3*l + 2*l. Let f be i(-2). Solve f*h - 18 = 6*h + 3*u, -2 = h - u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*t + 5*t - 1 = 0, -2*t = -h - 7. Suppose 39 = 7*z - 5*z - h*s, 4*s - 46 = -2*z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-3 + 3 + 1)*((u + 2*u - 4*u)*(4*u - 3*u - 2*u) + u**2 + 0*u**2 - 3*u**2 + 3*u + 2*u**2 - 3*u + 7*u**2 + 0*u**2 - u**2).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 475773, 475771, 475769?\n\"Answer: -2*t + 475775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 74*h - 266. Give x(41).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75\/133 + 12539\/2660. What is the common denominator of s and (-98)\/(-24) + (-35)\/140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118814?\nAnswer: 2, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/88)\/(300\/(-560)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318148625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12981 - -27792. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - q + 1. Suppose 293 = -58*g + 119. What is z(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*v - 358 + 1560 = -5498 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 + 7*q - 5. Let j be m(4). Let l = -5913 + 5913.2. Is l greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 (base 12) in base 9?\nAnswer: -757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Suppose -364 = -5*u - 139. Suppose f = -v + 5, 4*f + v - u = 2*v. Let s(o) = -f*o - 15*o + 7*o. Calculate d(s(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -151. Which is smaller: j or 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1941 in increasing order.\nAnswer: 4, 5, 1941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*-47672277\nAnswer: 95344554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 0*u - 6*u. Let k(j) = -2*j - 2. Let m(i) = -19*i - 10. Let g(d) = 6*k(d) - m(d). Give g(l) + 6*n(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011100011110010010 (base 2) in base 14?\nAnswer: 1297d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/12771*-45*((-14)\/(-20))\/(-7)*-12.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -80149424\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -1)*-3)**2 + -1 + -4 - (-6*(sqrt(1700) - (1*(0 + sqrt(1700) - sqrt(1700) - sqrt(1700))**2 + sqrt(1700)) - sqrt(1700)) + -1).\nAnswer: -240*sqrt(17) + 5105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*f**5 + 211644*f**4 - 1196967*f**3 + 2187366*f**2 - 1641585*f + 439650 = 0 for f.\nAnswer: 5\/6, 1, 3, 1954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36972?\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -0.4.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-eight fifths of a minute?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482, 3917, 13206, 31265, 61010, 105357, 167222, 249521?\nAnswer: 355170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 9*i - 155 + 154 - 343*i**2 - 10*i.\nAnswer: -343*i**2 - 22*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*j**2*v - 2*f**2*s**3 + f*j**3*s**2*v + 2*f*s*v - j**3*s**3 + 8*j**2*s**2 + j*s**3*v wrt s.\nAnswer: -12*f**2 - 6*j**3 + 6*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 1020*u - 22000.\nAnswer: 4*(u - 275)*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 3*z = 93, -35*z + 21*z = 4*j - 11*z - 57 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -6, -1 = -5*a - 2*m - 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 26, 45, 60, 65, 54, 21, -40?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 5635?\nAnswer: -5630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 71. Let l = q - 23. Let u = 44 + l. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -116*(-5)\/30 + -19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 14. Let m be q(-11). List the prime factors of 4\/(-16) - 290\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2695.011 plus 0.332?\nAnswer: -2694.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32602 is divided by 959?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 399, 395, 375?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 4*o + 94 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 + 8)*(-2 + 2 - g**2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 28*q**2 - 20*q + 300.\nAnswer: 4*(q - 5)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = 15. List the prime factors of (-738)\/d*25\/10.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x. Suppose x = -3*p + 27 + 6. Suppose p = j - 11. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8862 divided by -6\nAnswer: -1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 785*s**3 + 1240*s + 189*s**3 - 1242*s + 1 as m*s**3 + d*s**2 + p*s + v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 59*s + 821 - 3071 = 0. Solve -45 = 15*c + s for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b93 (base 12) to base 3.\nAnswer: -112011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.6529 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0412 + -418.0412. Let f = h + 421.82. Round f to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 2 + 12*m + 2.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.672 - -0.772. Let o = 0.37 + 3.23. Let l = 4 - o. Which is the third biggest value? (a) l (b) k (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/60 - p**3\/15 - 13*p - 2. Find a, given that z(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 42858 (b) -19 (c) -6\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 1. Let s be a(-2). Let p = 9 + s. Solve -p*w = 7 + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*m - 4 + 23, 0 = -m - 2*w + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) - (5 - (3 - -7)). Suppose -181 = -s + 4*w, 2*w = -6*s + t*s + 342. List the prime factors of s.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*y = 160, 3*y = 7*q - 9*q - 69. Let k be 3\/(36\/q)*(-16)\/88. Which is the nearest to k? (a) -37 (b) -2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + ((sqrt(85) - (sqrt(85) + sqrt(85) + 1*sqrt(85)*5 - sqrt(85) - sqrt(85))) + sqrt(85) + sqrt(85) - sqrt(85)))\/(sqrt(20)*2 + sqrt(5)).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 703 + -701. Suppose -2*l + 23010 = -0*g - b*g, 3*g = 4*l - 46025. Round l to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8261*u - 8*u**2 + 16513*u - 8252*u.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.2, -7, -67, 2\/9, -0.01 in descending order.\nAnswer: 2\/9, 0.2, -0.01, -7, -13, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*j + 7, 4*j = 5*v + 193 - 188. Solve -3*z - 3*m - 14 - 1 = 0, 0 = -z + v*m - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12672867 + 129.4499?\nAnswer: -12672737.5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, c: 3}. Give prob of picking 1 l and 2 c.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2620 - 29?\nAnswer: -2649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*x = -0*w + 2332, w + x = 1176. Suppose w = -3*i + 7*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.697 and -0.4.\nAnswer: -2.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8762284 and 2196.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -28*u - 2190. Determine l(-76).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 315689.9 millennia?\nAnswer: 3788278800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 + 8770. Let x be t(0). Round x to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10161536 - -4\nAnswer: -10161532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n - 2*n + (1 - 3 + 3)*(2 - 2 + 11*n**3))*(87 - 305*n + 322 + 306*n).\nAnswer: 9*n**4 + 3681*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -130 - 8. Let z = -28 + o. Suppose 0 = 4*a - 7*a + z. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78435 divided by -26145.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155250028?\nAnswer: 2, 38812507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/72)\/((-1)\/2 - (-4)\/16). Suppose -5*w - 10 = -0*w. Put 0.2, i, w in decreasing order.\nAnswer: 0.2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7005 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -286245636 divided by -7643?\nAnswer: 37452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/140 + 29*j**4\/84 - 103*j**3\/42 + 75*j**2\/14 + 1979*j + 1. Find s such that k(s) = 0.\nAnswer: 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897918.3 years in decades?\nAnswer: 89791.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*j**3*x**4 - 13*j**3*x**3 + j**3*y - 8*j**3 - 3*j*x**3*y + 2*j*x**2 - 9*y wrt x?\nAnswer: 360*j**3*x - 78*j**3 - 18*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2 + 2*r - 30. Let y(h) = -41*h**2 + 9*h - 135. Let k(s) = 9*q(s) - 2*y(s). Let a(n) = -255*n. Calculate a(k(t)).\nAnswer: 2040*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1075 and 86.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**39\/(d**3*d**(1\/6)) assuming d is positive.\nAnswer: d**(215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*h**3 + 355036*h**3 + 7817*h**3 + 127783*h**3.\nAnswer: 491225*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.22942 to one decimal place.\nAnswer: -113.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 50*o - 6.\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 104?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/24 and 81\/2330.\nAnswer: 27960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59976 by -24.\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, e: 2, n: 3}. Give prob of sequence eune.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*h = -37, -4*h - 10 = 5*u + h. Suppose -2*j + 2*v - 8 = 0, -2*v + 3*v + 16 = -4*j. Which is the closest to -0.1? (a) u (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 3014?\nAnswer: -3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4016628 and -29\/1449?\nAnswer: 4016628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000152 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2 - 4*w - 2. Let a(k) = -7 + 5*k + k**2 + 6 - 5*k. Let j(y) = 5*a(y) - u(y). Let l be j(3). Solve -2*o - 3*c + 2 = l, 2*c + 10 = 7*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296497 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20*b**2 - 3*b - 2. Calculate r(-4).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f + 0*f)*(8 - 8 - 10*f + 1929 + 63*f - 1929 + (-1 + 0 + 3)*(1 - 1 + f)).\nAnswer: 110*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 40*p - 127*f - 453 = 801, 2*p - 38 = 3*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94\/(-2)*((-7409)\/478 - (-99)\/6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j. Let i be z(-3). Let y = i - -4. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2360882, 4721729, 7082578, 9443429, 11804282, 14165137, 16525994?\nAnswer: 18886853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 799\/1197 - 1\/1197. Factor -8\/3 - 8\/3*t - f*t**2.\nAnswer: -2*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001010 (base 2) to base 14.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43932\/(-10)*(-6)\/(-48). Let z = -549 - y. What is the common denominator of 2\/6 - 77\/60 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -16. Let z = c - 7. Let y(t) = t + 14. Let j be y(-10). Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*b**2*u - 181*b**2 with respect to u.\nAnswer: -187*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69824\/(-2960) - -21 - 52\/(-20).\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 21 + 19. What is the remainder when t\/45 - 551\/(-9) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12701*h**2*w**2 + 7*h*w**2 + 1387*w**2 wrt h.\nAnswer: -25402*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:55 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 11, 53, 143, 299, 539?\n\"Answer: 3*d**3 - 3*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.3176 tonnes to nanograms.\nAnswer: 40317600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3120 + 3131. Let p(t) = 4*t - 6. What is the least common multiple of p(6) and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 690, 380, -144, -888, -1858, -3060?\nAnswer: -4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 = -22. Let y be 17 + 0 + (132 - 124) - 15. Solve 2*z + 3*v - 5 = 4, a*z - 5*v = y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 131.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {b: 7, j: 1, f: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (2*sqrt(539) + -5)) + sqrt(539) + 3*(3 + sqrt(539)).\nAnswer: 14 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (3 - -9)) + -1 + 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -147. Solve 6*z - 2*z = -a, -3*z - 34 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4*1)\/(4 + (1260\/5)\/(-14)). What is the closest to z in 3, -3\/2, -1\/4, -37?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*i, -v = -0*v + 2*i. Let x be (-4)\/10 + (-204)\/v. Suppose x = -f + 5*f. What is the highest common divisor of f and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8473 + 186449\/22. Calculate the common denominator of (1\/8)\/((-82)\/84) and g.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*p + 748 = 96*p. Let h = p - -384. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:59 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*j**4*p - 27*j**3 + 3*j**2*p + 10*j**2 - 2*p wrt j.\nAnswer: -288*j*p - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2)**2 + -3 + -4*(sqrt(19) + sqrt(171)) + (-2*sqrt(133))\/sqrt(7) - (1*-3*sqrt(19) + sqrt(304)*1 + sqrt(304))*4.\nAnswer: -38*sqrt(19) + 9193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*u = -290, 13*b = 8*b + 5*u + 310. Suppose -k + 25 = -b. What is the highest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(126)*1)\/(sqrt(20)\/(2*sqrt(640))).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738744 to the power of 1\/2, to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -9*z - 63. Suppose -12*j + z*j = 40. Let u be j\/40 + (-1)\/(-5). Solve -2*n = -u*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*z = 2, 2*g - g + 2 = 2*z. Let u(s) = -1 - 2*s**3 - 2*s + 2 + s**2 + 0. What is the tens digit of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 2555630*r**2 + 5111254*r - 2555626.\nAnswer: 2*(r - 1277813)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 1937 + 604 = 0. Suppose 4*a - 4 = 12. Suppose 25 - y = -a*w. Solve 12 = 5*n - w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 10203134?\nAnswer: -10203130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*5)\/sqrt(4)*-2*5.\nAnswer: -100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s**4 + 38404*s**3 + 47984*s**2 + 9596*s = 0 for s.\nAnswer: -2399, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from {d: 3, f: 1, g: 3, s: 2, q: 1, e: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + 12 + 4 - (1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4557620*w + 36460969. Give b(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - 23. Suppose -w*t = -28*t + 3515. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 6\/97 (c) 36 (d) -0.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 8. Let j be y(-8). Suppose j = 3*p - 2*p - 12. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -44. Suppose 15 = -6*k + k - 2*l, 0 = w*k + 5*l + 15. What are the prime factors of (414\/24)\/(k\/(-12))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 w when three letters picked without replacement from urowrruruo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -31. Let y be 0\/((-4)\/(-2)) + x. Let h be y\/(-3) + (-2)\/6. What is the greatest common factor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18223 or -18222?\nAnswer: -18222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 48. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((2\/(-312))\/(-1)). What is the least common multiple of 64 and (-4)\/14 + b\/28?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -79. Suppose -i = -5*v + 33, 2*v = p*v - 2*i - 12. Suppose 2*l - 4*s = 10, -3*l - s - 4*s + 15 = 0. Solve 0 = l*b - 16 + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3 + 1008*j**2 - 84672*j + 2370816 = 0.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*(-8)\/30*(-6615)\/(-1176)*24.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 14 = x, 20 = -0*c + 4*c. Let u = 4 - x. What is the second derivative of -2*y + 3*y + y**2 + u*y**2 wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let d(k) = -1 + k - 3 + 7. What is d(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h. Let d(o) = 2002*o. Calculate d(g) - 156*x(g).\nAnswer: 442*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6.5. Let z = d + 6.5. Put -2, z, 3 in descending order.\nAnswer: z, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10988 by 2.\nAnswer: 5494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36098, 284033, 956998, 2267507, 4428074?\n\"Answer: 35419*l**3 + l**2 - l + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456025 is divided by 227840.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 1354 = -u + 1336, 4*x = 3*u - 41 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0131095775 rounded to six decimal places?\nAnswer: 0.01311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g**2 - 586*g - 766. What is v(40)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (681 - 695)\/((-4)\/(-6) + (-16)\/6). Solve 5*y + g*u + 10 = 4*u, 0 = 5*y + u + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/60 - f**5\/12 + 5*f**4\/24 + f**3\/3 + 1662*f**2. Let j(l) = l**3 - 2*l**2 + 2*l + 1. Give 2*i(o) - 5*j(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8106159ug in nanograms?\nAnswer: 810.6159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37664 = -4054*q - 339358 for q.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16\/5)\/w*(w\/w**(-1\/13))\/w*w*w**(1\/21)*w*w*w**(-15) assuming w is positive.\nAnswer: w**(-21943\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 7*n**3 - n**3 + (-2 + 2 - 2*n**2)*(-1 + 1 + n) to the form m + h*n + l*n**3 + o*n**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2285630 to the nearest 10000.\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -65, 724.\nAnswer: -65, -7, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -4, 0.9, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8*i + 39. Let c be v(-11). Suppose 0 = -2*n - c + 357. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Let z = q - 0. Solve i + 9 = h, 2*h - 23 = -h + z*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21450 divided by 65.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5441 - 5440.6. What is the fifth smallest value in -12, q, -5, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -25*s - 124*s - 574 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -2)*(255\/4 + -2). Suppose q = 5*f + 7. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**2))\/c**(-2\/7)*c*c\/c**(-3)*c**(3\/2))\/((c**(-1\/3)*c)**(-12)\/((((c*c**(-3\/4))\/c*c*c*c)\/c)\/((c**(-6)\/c)\/c))) assuming c is positive.\nAnswer: c**(729\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(5)*2) - 2*((sqrt(60) - sqrt(60)*2) + sqrt(60)))\/((sqrt(12) - (sqrt(120) - sqrt(120)*-2)\/sqrt(10))*4).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 35. Let v(b) = 2*b + 8*b - 68*b + 14*b + 10*b. What is v(u)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 12*z + 7. List the prime factors of b(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15269678 to the nearest integer?\nAnswer: 3908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from {c: 9, q: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -2100?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318 and 9858?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 21. Which is the nearest to 1\/3? (a) 1\/8 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 - 402. Let u = 679038 + -678907.01268. Let o = u + t. What is o rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1646*d**2 - 1946*d**2 + 879*d**2 - 219*d - 1497*d + 263*d wrt d?\nAnswer: -5426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-3)*(-6)\/(-2). Suppose h = -3*h - 20. Let p = 9 + h. Solve -5*x - p*q = -17, o*q - 5 - 5 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*((k\/(k*k**(1\/14)))\/k)\/k*k*k*k)*k)\/k**1)\/(k**(-3)\/k*k*k)**(-16\/3) assuming k is positive.\nAnswer: k**(-487\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2*k**2 + k**2)*(-2*k**3 + 3*k**3 - 2*k**3) + 3*k**5 - 5*k**2 + 5*k**2 + 135*k**5 + 300*k**5 + 135*k**5.\nAnswer: 571*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3702, 1, -28, -227, 2 in increasing order.\nAnswer: -3702, -227, -28, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448.373 decades in months?\nAnswer: 533804.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -91.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**3 - 39536*q**2 - q + 30767 wrt q?\nAnswer: 6*q - 79072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 27910*y - 36387*y + 114 as h*y + q and give h.\nAnswer: -8477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -14*v - 6. Let p(y) = -9*y - 4. Determine 7*p(t) - 5*q(t).\nAnswer: 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-160)\/(-72)*(-522)\/(-29)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omtrlobl. What is prob of sequence tmrb?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -145?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*4\/(-8))\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = 9. Let c(b) = b**2 + b. Let o(v) be the first derivative of -v**4\/4 - 13*v**3\/3 - 5*v**2\/2 - 23. Let u(l) = 6*c(l) + o(l). Determine u(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 13\/(-2))*288\/(-108)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27561*s**2 + 110913*s**2 - 27707*s**2 - 27698*s**2 - 27623*s**2.\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -49993*z**3 - 9*z**2 + 4*z - 2. Let d be g(1). Round d to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207072 and 23008?\nAnswer: 207072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 40. Let s(k) = -k**2 - 18*k - 7. Let f be s(-6). Let o = 67 - f. Calculate the remainder when l is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*k**2 + 41*k**2 + 62*k**2 + 1.\nAnswer: 152*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28791103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 11. Let j be b(-4). Let a(p) = p**2 + 6*p - 5. Let c be a(j). What is the nearest to c in 2, -0.3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, d: 3, e: 1, p: 1, h: 6}. What is prob of picking 1 s and 3 d?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 3975502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -140136, -140164, -140186, -140202?\n\"Answer: 3*t**2 - 37*t - 140102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 36*a - 19*a - 3*s = -241, 5*s - 408 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z - 10. Let g be d(-5). Suppose g = o - 4*b - 14, -3*o = o - 4*b + 4. What is the units digit of 700\/(-15)*o\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w + 1482. Let o(t) = -3677*t. What is o(z(m))?\nAnswer: 11031*m - 5449314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8*j - 263 = -55, -47*j = 5*k - 46*j - 269 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36\/13 - 283\/156. Find the common denominator of 121\/48 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2*k + 2*k)*(-1 + 3 - 3)*(4 + 78 + 35) as j*k + d and give j.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520781, -1041564, -1562347, -2083130, -2603913?\nAnswer: -3124696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 35. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 280.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 2*a**2 + 1\/30*a**5 + 0*a**3 + 0 + 0*a**4 + 0*a. Let f(m) = 5*m**2. What is u(f(p))?\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2975 + 1620. Do -1355 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*n = 22, 0*n - 2*n + 14 = -4*j. Let g be ((-1989)\/j)\/((-18)\/(-36)). Suppose 356 + g = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 0.1, 5.51, -2\/11, 4, 1.\nAnswer: -2\/11, 0.1, 0.22, 1, 4, 5.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 617 - 1571 + 259 + 7*c + 223 to the form z + n*c and give z.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:34 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*r, -3*g + 2*r = -g + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 173900647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 238?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -106660 - 63\nAnswer: -106723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191 - -6 - 9\/3.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 7*c = 34*c - 854. What is the remainder when 153 is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-17936)\/64))\/(1\/(3\/(-48)*4)).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 g when four letters picked without replacement from aagaaaagdygy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 12 (b) -2\/5 (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26439340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328662?\nAnswer: 2, 7, 47, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from yqccyccccyccqync?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*y**3 + 3*y**2 + 0*y**2 + 47*y**3 + 60*y - 3*y**2 - 1 in the form f*y**3 + j + a*y + x*y**2 and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24280000 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -583*g + 4488. What are the prime factors of i(-12)?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -72*(-2 - (-1 - 0)). Suppose z = -q - 4*p, -102 - 132 = 4*q - 2*p. Let w = -39 - q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112748 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2889293540 to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -27*x - 128. Let f be h(-5). Suppose 0 = 2*b + 5*l + 18, -3*b + 0 = l + 1. Put b, -5, f in descending order.\nAnswer: f, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -20*o. Solve 4*p + 8 - 28 = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-9) + 0)*(-40)\/(2880\/(-162)). Let o(m) = 2 + 3 - 4. Let n(d) = -3*d - 6. Give k*o(t) - n(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*((-3)\/63 - (-10)\/(-35)). Suppose -p*n + 21 = 5*n. Sort -2, -5, n in ascending order.\nAnswer: -5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-1 + 5*-2). Let k be 13\/(48\/15 - 3). Calculate the highest common divisor of k and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 9*l**2 + 21*l - 9. Is 9 a factor of w(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 10*v**2 - 16*v - 15. Calculate g(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - 32\/(-24). Suppose -g = 5*l - 23, -2*g + 138 = 3*g + p*l. Suppose 0 = 6*n - g + 4. Solve 4*k - n = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-80)*15\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43506, 43514, 43522, 43530?\nAnswer: 43538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - 8*x**2 + 6*x + 4. Let t(u) = 7*u - 3 - 6*u**2 - 6*u**3 - u**2 - u**2 + 8 - u**2. Calculate 5*i(o) - 4*t(o).\nAnswer: -o**3 - 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(7) + 1 + sqrt(7)*-2) - (sqrt(42)\/(sqrt(12)\/sqrt(2)))**2 - (4 + sqrt(343) - (4*(1 + sqrt(7)) - sqrt(7)))**2.\nAnswer: -120 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201\/2 + -185\/6. Let t = u + 132. Which is the closest to t? (a) 0.04 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 2*j + 0*j**2 - 4*j**2 - 12.\nAnswer: -4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3835, -3852, -3869?\n\"Answer: -17*g - 3818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*b - 232*b - 161*b + 90*b + 129*b as d*b + g and give d.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/45 - (8\/12 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -27*l**4\/5 - 132*l**3\/5 - 87*l**2\/2 - 30*l - 254. Factor x(i).\nAnswer: -3*(i + 2)*(6*i + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*x**3 + 1883341882*x**2 + 2351*x**3 - 1883341882*x**2.\nAnswer: 1692*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d**2*s - d**2 + 258*d*s - 10111*s + 27 wrt d.\nAnswer: -14*d*s - 2*d + 258*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 29 + -273 + 264 - (10 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 10*k + 60*k + 34*k + i = 600, -26*i + 14*i + 11*i = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:17 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-287)\/(-56)*4 + (-1)\/(-2) and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1897 and -71\/2710.\nAnswer: 18970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t + 87*t - 64*t. Let y(o) = -67*o. Calculate r(y(s)).\nAnswer: -938*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 3. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602634 (base 7) to base 9.\nAnswer: -164633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 8*u + 136 = -2*l, 3*u - 428 = l. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuffufufufmm. What is prob of sequence muff?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2791.5 + 2804. What is the third smallest value in 5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 5*o**3 - 876*o + 191862.\nAnswer: 8*o**3 + 15*o**2 - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u**3 + 9*u**2 + 2*u - 3. What is r(2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + y - 2, -2*a + 2*y = -4*a + 4. Suppose -l + 2 + a = 0. Find the third derivative of -p**l + 0*p**5 - p**5 + 2*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 19. Suppose 4*p + p + h = 36, 2*p - 28 = 3*h. Let c = 20 - p. Solve -y*o = -4*o - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 12*j**2 - 5*j - 7. Let p(n) = -n**2 - 9*n + 19. Let r be p(-10). Is y(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1927*j - 21319 + 10552 = 6434 + 52171 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 46 + 20. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 7 = h, 3*h = -5*f - 11 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237659647 a multiple of 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h + 3. Let u be j(5). What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(33)*-4 + sqrt(33))*3)\/(-1*sqrt(539)).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2117746973 and 1.2.\nAnswer: -2117746971.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1700\/1619 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1565667*c - 4026171?\nAnswer: 1565667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:40 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/1 + -7 + (1668 - -7)?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*l - 69, 4*l - 20 + 29 = 9 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - b**2 + b**2)*(33*b - 162*b + 65*b + (0*b + 4*b - 3*b)*(0 + 0 - 2) - 2 - 2*b + 2).\nAnswer: 136*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -180, -1283, -4224, -9921, -19292, -33255, -52728, -78629?\n\"Answer: -153*c**3 - c**2 - 29*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = -31*g + 2258. Let f(y) = 1. Let o(z) = z**2 - 1. Let s(p) = 8*p**2 - 16. Let n(r) = -18*o(r) + 2*s(r). Give g*f(c) + 4*n(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226 and 22826?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -1 (c) 0.256 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3653*y**3 + 1826*y**3 + 12*y + 1828*y**3 - 12*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(288))*6)**2*-5.\nAnswer: -207360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367 divided by 4.\nAnswer: 367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 398.5324 and -427.3.\nAnswer: -28.7676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (sqrt(175) + -5*(-1 + sqrt(175)) - 2*(sqrt(175) + 0))))**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -886*z + 413*z + 166 + 475*z to i*z + p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/19 and -115\/418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 2079, 4666, 8285, 12936?\nAnswer: 18619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -54. Let d(s) = -4*s + 8. Let z(t) = 3*t - 7. Let h(u) = 5*d(u) + 4*z(u). Let n(w) = -w + 1. What is i*n(f) + h(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 0.46. Which is greater: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let z(t) = 602585549*t**2. Determine z(r(c)).\nAnswer: 5423269941*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/20 - 13)\/((-7)\/(-8)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1798 times 4.6\nAnswer: -0.82708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 9 = -24. Suppose 0 = -2*f + 5*v + 11, -5 = -2*f - v - 0. Suppose -f*q + 3 = -3. Solve -h*u + q = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460*4.\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-58)\/(-87) - 139\/148 and 61\/6?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13694 and 2218.\nAnswer: 15186646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 12*g**2 - 20*g - 426. Determine q(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 770 and 2926.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2231, -2235, -2239, -2243?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(181*y + 14*y + 137*y + 122*y).\nAnswer: -908*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d - 15. Determine h(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0892 to three decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 454\/21 + (-8)\/28 and (-168)\/22 - (-5 - -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632 and 172220?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -188556.6 + -0.1562089?\nAnswer: -188556.7562089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 554843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-2)))**(-3\/4)\/(j\/j**(-1\/4))**(2\/9))\/(j**(-8)\/((j*j\/j**(-6)*j)\/j))**39 assuming j is positive.\nAnswer: j**(5600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 5\/20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 4*a**2 + 6*a + 4. Let m = -11 + 16. Determine t(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*w + 6 = 0, -2 = -2*r + w - 0. Suppose -6*i + 8*i - 14 = r. What is the highest common divisor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 17, o: 2}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a factor of 22699389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 396264.33 rounded to the nearest one thousand?\nAnswer: 396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 391 = -22*y + 368, -y = -3*r + 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - q**2 - 5*q + 7. Let n(t) = 2*t**3 - 4*t + 6. What is 5*n(l) - 4*w(l)?\nAnswer: 2*l**3 + 4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.85 + 18.55. Let p = i + -19. Let t = p - 1.5. Sort -5, 2, t in increasing order.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.19.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -300 + 298. Let t = -0.2 + 1.2. What is the third biggest value in 4, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28112309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5620885 to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**5\/10 + k**4\/3 - k**3 - 10*k + 12. Let m(l) be the first derivative of n(l). Find o, given that m(o) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -4 (c) -1\/6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241 and 234011?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30676 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 18*o + 23. Let d be b(-4). Let z = 52 + d. What is the remainder when 13 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + v + 8 = 11*m, -2*m = -5*v + 6. Suppose 1435 = 3*r - 5*p, -5*r + 2441 = -m*p + 6*p. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(3*sqrt(931))**2 - ((-1*sqrt(209))\/sqrt(11) - (sqrt(304) - 5*sqrt(304))).\nAnswer: -67032 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 38. Let a = p + -44. What is the remainder when 9 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031309 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-2320)*30 - (-4)\/(64\/(-470))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 15*r**2 - 6*r + 4. Determine k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**3 - 5*d**2 - 9*d - 792. Let f(i) = -3*i**3 + 2*i**2 + 4*i + 396. Let a(k) = 5*f(k) + 2*z(k). Does 22 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2684\/440)\/((-139)\/(-1390))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525 = -84*f + 9*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**6\/2520 - h**5\/84 - 25*h**4\/168 + 20*h**3\/3 - 26*h. Let j(v) be the second derivative of x(v). Factor j(d).\nAnswer: -(d + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 - -126. Let j = 157 + y. Suppose 3*h - 3*x - 111 = 0, -h - 4*x + j = 2*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 32 (c) 0.4 (d) 2\/39 (e) 4\/5 (f) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866835 to the power of 1\/2, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/18 - 1521\/(-30)) + 2\/(-10). What is the greatest common factor of 119 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*n - 11, -3*c = 7*n - 12*n - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 4*x - 26*x)*(0 - 1 + 2)*(-4*x + 2*x + 0*x) + (-2 - 3 + 6)*(-3*x**2 + 3*x**2 - 2*x**2).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*l**2*o*s + 159*l**2 + l*o - 4*o*s + 413*o + s - 2 wrt l?\nAnswer: -6*l*o*s + 318*l + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {a: 2, c: 1, n: 5, l: 3, f: 3, g: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/(15\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757 - 6*i**3 - 757.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 8*z + 32. Calculate a(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 - 8*x - 20. Let o be p(10). Suppose 0 = 2*u + 5*c - 3237, o = -3*u - 3*c - 2667 + 7545. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 11. Let z be (-9)\/((-5)\/(-2) + -1). Let x be (2\/(-4))\/(z\/(-8)). Which is the second biggest value? (a) -3\/5 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/30 - a**4\/24 + 11*a**2. Calculate f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 16b6?\nAnswer: -16b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*m + 1911 - 13 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w + 524 + 737 = -405 - 566 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -663d (base 15) to base 14\nAnswer: -7c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + (-474)\/12)\/(1\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/12*(-3)\/(-5). Let o(n) = n**2 + 7*n + 4. Let b be o(-8). Suppose -3*f + 0 + b = -5*y, 4*y + 12 = 0. Is p smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 5.2. Let g = w + 6. Let x = 0.5 - g. Put x, 0.4, -4 in decreasing order.\nAnswer: 0.4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(1*10\/(-5))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 448, 447, 446, 445, 444, 443?\n\"Answer: -j + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -h - n, 4*n = -4. Suppose h*i + 0*i = 4*m, -8 = -2*i + 2*m. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let q(h) be the second derivative of 11*h**3\/6 + 9*h**2 + 975*h. Give q(d(x)).\nAnswer: 11*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.6 + -18.6. Let t be 8\/(-6) + (-2)\/(-1). Let l = -0.2 + -0.3. Which is the closest to t? (a) q (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (138\/(-460))\/(12\/10). What is the nearest to 0 in 0.4, 1\/29, 1, v?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 1.9.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -35*s + 9. Let p(x) = -36*x + 11. Calculate -5*d(m) + 4*p(m).\nAnswer: 31*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let h = -0.03 + 0. Let x = h + 2.03. Sort x, q, 0.5 in decreasing order.\nAnswer: q, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3 - 1\/2*q**2 + 0*q. Let v(h) = -8*h**2 - 22 + 6 + 16. Give d(v(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 2*l + 1. Let a(v) = -216*v**3 - 30*v**2 - 60*v + 30. Calculate -a(r) + 30*m(r).\nAnswer: 216*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z - 114 = 61*z + 822 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -214 in -1\/9, 21\/8, -5, 4, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96\/56 + 4\/14. Let z(q) = 0*q - 3*q**3 - 2 + 2*q**3 + 5 + 4*q**f - 2*q. Let m be z(3). What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 2*t - 15.\nAnswer: (t - 5)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202229031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 48210382?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10 = -3*b - 2*b, -2*b = -5*s - 21. What is the hundreds digit of (2 - (3 - 4))\/(b\/(-302))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 73. Suppose -7*t + 0*t + 98 = 0. Calculate the remainder when x is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(1\/2)*m)\/m))**(1\/9)\/((m*m**(-6\/11)*m*m)\/(m\/m**20*m)))**(-24) assuming m is positive.\nAnswer: m**(16156\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v**2 - 3 + 4*v**2 - 4*v**2 + 3*v**2 + 0*v**2 + (-2 + 5 - 2)*(1 - 2*v**2 - 1) + 0*v**2 - 2*v**2 + 0*v**2)*(-5 + 5 - 3*v).\nAnswer: 9*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 24\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvk when three letters picked without replacement from {q: 9, l: 2, v: 3, k: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/5 + 40*h**3 + 636*h**2\/5.\nAnswer: -4*h**2*(h - 53)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33484 in 5, 1.6, 1\/11, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((-99)\/55)*(-5 - -4). Solve 2*b - l*v = -16, 0 = 2*v - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2176 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 13*t + 5*t + 4*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 32484\nAnswer: 187\/32484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 468\/4 + -1 + -2 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.015 in 2, 1, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 8*c - 3. Let n be o(7). Suppose -n*d + 6 = -2. Is d >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 3:22 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*m - 313*m - 325*m = -120 - 165 for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/27125 - -11989244\/81375. Let a = -146 + w. What is the nearest to -1 in 0.5, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 2. Let j(r) = r + 1. Let b be j(-2). Let t = b + 3. Let f be k(t). Calculate the highest common factor of f and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from kssckcsbkskssbss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 69 + 27. Suppose -19*s = -m*s - 58. What is the closest to 1 in s, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16 - 3252\/24)*24\/(-9) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrqwa. What is prob of sequence wqh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3024, 3022, 3020, 3018?\n\"Answer: -2*n + 3026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36b43 (base 12) in base 8?\nAnswer: -220743","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603359.\nAnswer: 3, 178151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 12, x + 2*x - 2*g - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let v(u) = 10*u**2 - 11*u + 11. Let b(n) = -n**2 + n - 1. Let o(d) = 22*b(d) + 2*v(d). Calculate x(o(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228671 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 5\/(455\/(-441)). What is the closest to -0.5 in -4, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 9086.\nAnswer: -1\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 291*g - 14. Let n be b(2). Suppose a + n = 9*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8970709.\nAnswer: 11, 815519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/7 + 2*a**3\/7 - 20*a**2\/7 + 16*a\/7.\nAnswer: 2*a*(a - 2)*(a - 1)*(a + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*2)\/(sqrt(11)*2*-1).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3382 and -128?\nAnswer: -432896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -30*p + 4. Let j be y(3). Let s = 137 + j. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25278 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 2405?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4842? (a) 2\/3 (b) 0.4 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 35 = -4*b, -4*t + 5*b + 5 = 2*b. Let n be (0 + -4 + 4)\/(-2). Suppose n = -t*d + d. Solve d*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 14*1*(5\/10 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3*u - 2*u)*(-231404*u + 231400*u - 2*u**2 + u**3 + 17 - 7).\nAnswer: -u**4 + 2*u**3 + 4*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12018*j + 807. Let q be i(1). What is the second biggest value in 3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -251, -272, -295, -320?\n\"Answer: -r**2 - 18*r - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.3 (b) 682\/273 (c) 5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1289 = 2*f + 3*i, -3*f - 2*i + 1917 = 0. Let n = f + -344. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = 211*d - 206*d, d + 5 = 2*b. Put b, -40, -198 in increasing order.\nAnswer: -198, -40, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -31, -39, -45, -49, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126489264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(300) + 1) + sqrt(300) - (((sqrt(300) + -1*sqrt(300))*-2)**2 + sqrt(300)))*6 + (sqrt(768)*-3 - (-5 + sqrt(48) + sqrt(192))).\nAnswer: 23 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753 is divided by 1248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r + 112 = -9*i + 10*i - 139 - 184, -4*r + 70 = r - 4*i for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 18993.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -649 - -648. Let x = 34.2 + -34. What is the nearest to 0.1 in 0.4, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 5, m: 5, y: 1, i: 3, r: 4}. What is prob of sequence zzl?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-5)*r**21*r assuming r is positive.\nAnswer: r**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r. Let o(d) = d. Let u = 83 + -77. Let h(n) = -n. Let k(w) = u*h(w) + 7*o(w). What is -20*k(b) + 5*l(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:13 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from {n: 12, m: 3, c: 1}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*r + 304. Let v be (12\/(-8))\/(3\/r). Let x = v - 20. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + n, t - 3*n = -10 - 0. Determine x so that x**3 - 7*x**2 + 10*x**t + 2*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/6 + g. Let s(m) = -21*m + 1. Let q(t) = 62*t - 3. Let j(k) = -2*q(k) - 6*s(k). Determine j(z(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(1\/4))**26)**(-46) assuming x is positive.\nAnswer: x**(-2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 988 divide 59295079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 2, 25\/6.\nAnswer: -6, -5, 2, 25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 20 = -5*c, -4898589*v + 4898593*v + 5*c - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) 204 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -3. Let t = 63 + -61. Suppose -v + j = t*u, -4*u = -2*v + v + 32. Solve 2*i + 4*a - 18 = 0, 0 = i - 2*i + 3*a - v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 1628, 2441, 3254?\nAnswer: 4067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 619994648 a multiple of 1367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141350000 rounded to the nearest one million?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1 + 0*d**2 + 2*d - d**2 + 0*d**2. Let j be o(3). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(95) - -4*sqrt(95)*-3) + sqrt(95) + sqrt(95))\/(-3*sqrt(5)*1).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2 + sqrt(68))*-3)**2.\nAnswer: -180*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and (-2856)\/(-57) - (-12)\/(-114).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204195, -205528, -206861, -208194?\nAnswer: -209527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-8)\/336*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -45.839. Let g = q + -16.161. Suppose -4*c - 3*h = -h - 2, -c = -2*h + 2. What is the fourth biggest value in 1, 0.3, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193539237*r**3 + 7463*r + 30314?\nAnswer: 1161235422*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 496 - 500 = 0. Calculate the smallest common multiple of v and 1372.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3606, -3524, -3412, -3258, -3050, -2776, -2424?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((189\/12)\/(-7))\/((-3)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 49*n - 176. Is 8 a factor of a(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -59 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22950, 22964, 22976, 22986?\nAnswer: 22994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 12574*a - 12578*a + 9*a**2 - 41 to n*a**2 + z + i*a and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39253, -32087, -24921, -17755, -10589?\n\"Answer: 7166*x - 46419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 16 = -1. Let u be -1 - (1 + 2)\/c. Suppose u = 5*l + 2*f - 35, -3*f + 20 = f. Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 5*g**2 - 2*g - 2. Let o(q) = -q**3 - 3*q**2 - 2*q - 4. Let p be o(-4). Suppose p = -5*m - 5. Calculate z(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1789, -1817, -1845?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7951 greater than or equal to -7950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b2c74 - -4d?\nAnswer: 5b2cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23229070313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-60))\/(43\/516)*(-15)\/171.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -294303 times 2?\nAnswer: -588606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -72, -93, -92, -63, 0, 103?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151634 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 45*y + 9570. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 0*t**4 - 3 + 2*t**4 + 5 - 4*t**3 as c*t**3 + h*t**4 + a*t + p + q*t**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(302*p**3 + 338*p**3 - 608*p**3 + 28*p).\nAnswer: -96*p**3 - 84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 98*p - 702. What is the remainder when 523 is divided by g(8)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 38 - 78 - 4*h**2 + 3*h**3 + 39. Suppose -4*o - 3*s = -14, -6*o + 2*o + s = -6. What is the tens digit of b(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3\/7 (c) -408\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 188\/7, -24.1 in increasing order.\nAnswer: -24.1, 15, 188\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12*z + 217 - 113 = 0. Let h(w) = -5*w**2 - 37*w + 18. Determine h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1122 - -42?\nAnswer: 42.1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*g + d, -3*g - d - 13 = -2*g. Let i(o) = o**2 + 16*o + 17. Calculate i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (571*k**3 - 24*k**2 - 282*k**3 - 287*k**3)*(-4 + 1 + 1) in the form v*k**2 + a*k**3 + r*k + j and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((119 - -140)\/(-5698))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 3*f + 3*f)*(88 - 216 - 476).\nAnswer: -604*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0 - -2) + 1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12390810.08 from 0.5.\nAnswer: -12390809.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255590?\nAnswer: 2, 5, 61, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, w: 2, b: 1, z: 2, s: 1}. Give prob of picking 1 q, 1 b, 1 z, and 1 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 l when four letters picked without replacement from uluuuluuuuuu.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 74 = 27 + 531 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -160, -4, -5, 479, 0, -39.\nAnswer: -160, -39, -5, -4, 0, 2, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321 - -23222?\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-105) - (-357)\/196*2\/9. Factor -1\/4*r**3 + 1\/4*r + 3\/4*r**2 - 1\/4*r**4 - g.\nAnswer: -(r - 1)**2*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9)\/c)\/c**(-2))\/(c*c**(-1)*c)**(-2\/39)*(c*(c**(-1\/2)\/c*c)\/c)**(2\/27)*(c**(2\/5))**(3\/7) assuming c is positive.\nAnswer: c**(11836\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7*g**4 + 0 + 4875\/7*g + 360\/7*g**3 - 2550\/7*g**2 - 3\/7*g**5 = 0. Calculate g.\nAnswer: -13, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 + -433. Let v = s - -176. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169620, 169642, 169664?\nAnswer: 169686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2213\/1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 14948.47337 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 1, 9, -40?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + -8. Let y = g + 80. Find the third derivative of 5*u**4 - 14*u**2 - u**y - 19*u**4 wrt u.\nAnswer: -336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 7*s + 7. Let g(n) = n**2 - n - 1. Let q(f) = 3*b(f) + 21*g(f). Let c(j) = 2*j. Determine c(q(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 - 235 - x**2 + 119 + (-3 + 2 - 1)*(2*x**2 - 3*x**2 - x**2) as s*x + y*x**2 + m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*a - 20 = 0, 10 = -27476*v + 27481*v + 8*a - 3*a for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*f**4*p - 139*f**3*p**3 + 19946*f*p**3 - 3*p**3 wrt f.\nAnswer: 1308*f**2*p - 834*f*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1103 (b) -2 (c) -1\/3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 5*c + 250*c**3 - 77 - 196 - 255*c**3.\nAnswer: -5*c**3 - 5*c - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6320 and 9126080.\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - -2)\/((-3)\/(-10)). Suppose 7*w - r = 2*w. Calculate the remainder when 21 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 4126940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 1. Let p be u(1). Let j = p + 13. Suppose -50 = -4*o - 2. What is the least common multiple of j and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79140 = -3*j - 5*k + 7*k, 5*j = 2*k + 131900. Round j to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 6. Give z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-50)*15\/(-3). Let x(f) = -5*f**2 + 4*f - 8. Let r(z) = 14*z**2 - 11*z + 23. Give o*r(t) - 11*x(t).\nAnswer: -t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.1 (c) 5\/42 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.115 and 169.6.\nAnswer: 19.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + 2*r - r)*(70 + 60 - 206)*(-7 + 4 + 1) as u*r + j and give u.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:46 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/9 + 20*g**2\/9 + 38*g = 0.\nAnswer: -9, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 44*a**2. Let b(d) = 4*d**2. Let f be (-3)\/(-3)*(23 + -5)\/(-3). Give f*q(k) + 68*b(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + (-7 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5401 and 561?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 37*z**5\/60 - 89*z**3\/6 - 55*z**2. Find the first derivative of r(f) wrt f.\nAnswer: 74*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 21*b + 30. Let t be a(20). Is t equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010 + 11?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 4*x**3\/3 - 1. Let u(n) be the third derivative of 7*n**5\/15 - 26*n**2 + 6. Calculate -20*i(a) + 3*u(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 127*k**2 + 34*k - 8. Calculate the remainder when f(-2) is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557702220.\nAnswer: 2, 3, 5, 59, 157543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075779648.\nAnswer: 2, 3, 41, 45553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*t - 44 = 0, -g - 3*t = -18 + 7 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114 - -332) + -170 - (-21 - -1).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232\/40 - (-3)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376 + (2*(4 - 2) - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -36*s + 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*o**2 + 11*o**3 - 14*o**2 + (-1 - 3 + 7)*(3*o - o**3 - 3*o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/1)\/(20\/310). What is d in -62*d + 33*d - 450 - f*d - 2*d**2 = 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -89, -11\/483?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 + 19 + 59 - 13*i + 17*i + 29*i = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3046 = -2*s - o + 1860, -4898 = -2*s + 3*o. Calculate the smallest common multiple of 11 and s.\nAnswer: 26972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0.1 (c) -1\/37 (d) -5 (e) -34 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 211371 * 1.8\nAnswer: 380467.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18326 (base 9) to base 8\nAnswer: 30564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -13 + 79. Suppose 0 = d - 1 - 1. Calculate the highest common divisor of d and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168423.\nAnswer: 3, 31, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 - 11\/(-3). Let c(l) = l**2 - 2*l. Let w be c(d). Suppose -4*h + 0 + w = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 822 divided by -6.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/29)*f*f**(1\/4) assuming f is positive.\nAnswer: f**(137\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 30 = -4*h, 2*o - 9 = -4*h + 3*h. Suppose o*w = -2*w + 104. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 3\/10)*2. Let p = 1\/205 + -90203\/615. Let y = p - -147. Which is the closest to y? (a) 2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*t, 2*t - 7 = -2*r - 21. Let m be 8\/20*(-3 + r). Let o = m - -8. Calculate the remainder when 21 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-231)\/(-308))\/((-1)\/4)*4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201 + 22000110101110?\nAnswer: 22000110020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3615627 + -0.29338.\nAnswer: -3615627.29338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.0269\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 37*r**6\/6 + 149*r**2 - 36*r + 2. What is the first derivative of k(n) wrt n?\nAnswer: 740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let f be r(-1). Suppose -i + 5 = f. Suppose i*z + 2 = 4. Calculate the smallest common multiple of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1255 - -2409. List the prime factors of h.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -16. What are the prime factors of (22\/6 - 4)*r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15028 by 4.\nAnswer: 3757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.115 in -1\/2, 11, 0.06, 2\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141 and 27.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 14526 + 14526 + 10*c - 52*c**2 + 9*c**2.\nAnswer: -43*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (53012\/2504817)\/(8\/294)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5508 and 972?\nAnswer: 16524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.53591 + -0.03591. Let d(g) = 2*g - 1. Let h be d(1). Let y = 4.09 + -0.09. Which is the third biggest value? (a) p (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37384886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219779310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 11 + 17. What is the tens digit of ((-49)\/3)\/(q\/84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500216 by 120.\nAnswer: -62527\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1504387025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90915510 divided by 5.\nAnswer: 18183102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/5 - 272559*l + 2725578\/5 = 0. Calculate l.\nAnswer: 2, 454263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 6*f - 3*f + (73 - 73 - 27*f)*(5 - 3 + 1).\nAnswer: -80*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**5\/10 - 11*v**4\/12 - 5*v**3\/3 + 5*v**2\/2 + 187*v. Let o be r(-4). Sort -2, o, 79 in descending order.\nAnswer: 79, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t - 2973 = 41*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455371378 and 2165.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 13*z**3 - 5*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.002 and -614.32.\nAnswer: -614.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2\/3*o**3 + 0*o + 2\/5*o**5 - 1\/2*o**4 - 3 + o**2. Factor r(h).\nAnswer: 2*h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76311010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6819 + 6948. What is the greatest common divisor of 2236 and g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/27, -0.3, 107?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2010 - -1988. Which is the second biggest value? (a) -2\/11 (b) o (c) -4\/7 (d) -3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3886906, -7773760, -11660614, -15547468, -19434322, -23321176?\nAnswer: -27208030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27256911.\nAnswer: 3, 11, 293, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.116*3\nAnswer: 0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3370, 0.4, 193, 5 in ascending order.\nAnswer: 0.4, 5, 193, 3370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-14)*(-4)\/(-6). Let f = -1634.5 - -1635. Which is the closest to 2\/3? (a) f (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336352 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 183 = 127. Let l(d) be the first derivative of i*d**4 + 26 + 0*d + 1\/3*d**3 + 0*d**2. What is the third derivative of l(j) wrt j?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1844543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(13)*-2 + -5))**2 + -1*sqrt(13)*-1*4 + (-4*1*sqrt(104) + sqrt(104) - sqrt(104))\/(3*sqrt(16)\/sqrt(2)) + 5.\nAnswer: 548*sqrt(13)\/3 + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from tttstttssttt.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -354572?\nAnswer: -106371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 11*a - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000341143 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*v**4 + 2590*v**3 - 86944*v**2.\nAnswer: v**2*(v - 26)*(29*v + 3344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + h)*(-2*h - 2*h + h + (0*h + 2*h + 0*h)*(0 - 1 + 3) + h - h + 2*h - h + 0 + 0 - 28*h - 18 + 18).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33866801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 407296957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 59*b**2 - 1\/5*b**5 - 23\/60*b**6 + 0*b - 5\/168*b**8 - 22\/105*b**7 + 0*b**4 + 0 + 0*b**3. Find v, given that n(v) = 0.\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 265471 (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**3 + 243*m**2 - 22*m - 1078. Let z(g) = 3*g**3 - 122*g**2 + 12*g + 538. Let q(u) = -6*y(u) - 11*z(u). Differentiate q(j) wrt j.\nAnswer: 9*j**2 - 232*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, r: 1, c: 2, y: 1, v: 1}. Give prob of picking 1 v and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27724.\nAnswer: 2, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 4*c - 7. Let d be o(6). Let v = -5 + d. Let a(g) = -3*g + 1. Let l be a(1). Put l, v, -0.3 in decreasing order.\nAnswer: v, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - f. Let y = 15 - 14. Let b be r(y). Let i(h) = -3*h**2 + 5*h**2 + 4*h**3 - h - 6*h**3 + 1. Determine i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -77, -119, -171, -239, -329?\n\"Answer: -q**3 + 4*q**2 - 43*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-8)*(2 + 56\/(-36)). Which is the closest to k? (a) -5 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -23, -36, -33, -2?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535485812 to the power of 1\/4, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Suppose -o + 3*p + 17 = 0, -3*p = u*o + p - 28. What is the remainder when 22 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q + 20. Let j = 1.3 - 0.3. Let o = j - -2. Sort -4, q, o in descending order.\nAnswer: o, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 31806205.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f + 0 + 0)*(-2*f**2 - 23*f**2 - 2*f**2) - 2*f**3 + 0*f**3 + 0*f**3)*(3*f**2 - 5*f**2 + f**2).\nAnswer: 56*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 598338 (base 13) in base 7?\nAnswer: 24055464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by 136\nAnswer: 65\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 114?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682880819?\nAnswer: 79, 8644061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 13*m = -759. Suppose 9*i - m = -82. Solve 4*o - 5*x = i, 2*o - 3*x = -0*x + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 2834888?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 = -4*v + 5*s, -5*v - s + 1268 = -4*s. Let p = v - -2155. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {y: 1, i: 1, q: 2, m: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 3*x - 5. Let p be m(-4). Let b be (-1)\/p + -1 + 1900. Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*1\/5 + (-54599)\/(-355). Let r = 155 - j. Suppose -4*v - 4*m + 11 - 3 = 0, -2*v + 8 = 3*m. Is v greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982238 divided by 5?\nAnswer: 982238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1659 + -1643. What is the highest common factor of 360 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112960 divided by -80.\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/50 + 9*i**5\/25 - i**4\/5 - 24*i**3\/5 - 4*i - 897. Factor y(u).\nAnswer: 3*u*(u - 2)*(u + 2)*(u + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 7*x - 8. Suppose 2*u = -4*l - 3 + 7, 3*l - 15 = 0. Let m be c(u). Suppose -2*j = -m - 42. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a + 9. Let b(y) = -14*y - 8. Give 6*b(v) + 5*j(v).\nAnswer: -24*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 227621502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose x*t - 6 - 2 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 + 816*w**3 + 2*w**2 - 55 - w + 7*w**4 - 817*w**3 + (2*w - 5*w + w)*(-w**3 + 2*w**3 + w**3).\nAnswer: 3*w**4 - w**3 + 2*w**2 - w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152*k**2*s**4*x - 1395*k**2*s**2*x - 12632*k*s**4*x - 13*k*s*x + 240*s**2*x + s**2 wrt s?\nAnswer: -3648*k**2*s*x - 303168*k*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 - y - 2. Suppose 0 = 4*x + 12, -2*q + 9 = -x + 2. Let b be v(q). What is the closest to b in 0.4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1105*n = 25640 + 5300 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5034*n**3\/17 + 1184*n**2 - 20104*n\/17 - 32\/17 = 0 for n.\nAnswer: -4\/2517, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 8:50 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -44*s**2. Let q(b) be the second derivative of -b**3 - 54*b. What is q(w(z))?\nAnswer: 264*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 - l. Let h(g) = g**3 - 6*g**2 + 6*g - 2. Let x be h(5). Suppose 0 = -x*j + 1 + 2. List the prime factors of m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i. Let a(g) be the third derivative of -1\/8*g**4 + 0*g**3 + 0 - 44*g**2 + 0*g. Give k(a(d)).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 852830 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 2*g. Let m(d) = -d**2 + 5*d. Let r(u) = 5*h(u) + 2*m(u). Let i(c) = -74*c**2. Calculate r(i(q)).\nAnswer: 16428*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007736 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-188)\/16 + 2\/2 and (-12)\/(4536\/(-2247)) + -10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672807818.\nAnswer: 2, 31, 10851739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 111. Suppose 4*q + 1 + 1 = -2*r, -v*r - q + 7 = 0. Solve 0 = 4*d - 3*w + 3 + 1, 8 = -r*d + w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-11\/4)*(i\/(i\/(i**24*i)))\/i*i\/(i**(-1\/42)\/i)*i*i**14)**(-47) assuming i is positive.\nAnswer: i**(-176767\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*w = 6*a + 26, 0 = -2*a - 4*w + 12. Suppose 0 = -2*u + 4*u. Suppose -4 = 4*n - u*n. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 82500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -857.5079?\nAnswer: -5145.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355.71 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 8. Let x = 0.001 - -0.499. Let v be 5\/((-1)\/(((-9)\/(-36))\/(-1))). What is the second biggest value in b, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k + 1004 = 0. Suppose 3*a - k = 31. Suppose 3*o - 174 = -3*l, 2*o = 3*l + 27 + a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.02 - -0.02. Let h = -11\/15 - -2\/5. What is the closest to f in 4, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1334676.99000087 - 1334677. Let v = 0.6 + -0.61. Let m = q - v. What is m rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 + -2a?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21041.559 microseconds in days?\nAnswer: 0.0000002435365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 10*i - 49. Suppose -4*u = -9*u + 2*d - 100, -5*d + 79 = -3*u. Does 19 divide z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 2\/3*c**3 + 0 - 248*c + 0*c**2 - 8\/21*c**4 + 1\/35*c**5. Find u such that a(u) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 480.9536 - -0.0464. Let d = -440.6 + 0.4. Let u = d + i. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 20*f**4 - 7135*f**3 - 2550765*f**2 + 909348615*f + 227496465 = 0.\nAnswer: -357, -1\/4, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 + 53 - (0 - -5)) + 5 - -20.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (-1*sqrt(78)*2 - sqrt(78) - sqrt(78)) - (sqrt(78) + (sqrt(78) - (sqrt(78)*6*-3 + sqrt(78) - sqrt(78))) + sqrt(78)))\/(4*5*sqrt(96)*1).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 4*l + 7. Let a be v(5). Suppose y = -4, -y + 364 = a*s - 0*y. Suppose 2*z - s - 42 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -374*z - 27. Let x(j) = 125*j + 9. Let k(g) = -3*h(g) - 8*x(g). Is k(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 140, 1024, -70 in decreasing order.\nAnswer: 1024, 140, 1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3410)\/187)\/(-2) - 9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 62*s**2 + 62*s**2 + 5.\nAnswer: 3*s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Let k(m) = -4*m + 70. Let y be k(o). What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0d (base 16) in base 2?\nAnswer: -1110100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*z + 2661 = 0, 0 = 2*c + 3*z - 230 - 1117. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 160*k - 327. Calculate n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128326\/(209\/11) + -7?\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:26 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-180) - 2523\/(-45414).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327 is divided by 115?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58283?\nAnswer: 167, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12177 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: Calculate (8 + -15 - -5) + -18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f. Let a be (-6)\/4*9\/(9\/(-2)). Let y(n) = -n. Give a*y(m) - 3*k(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 418*x**3 - 843*x - 2395161?\nAnswer: -4*x**3 - 1254*x**2 - 843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -117.04. Which is the smallest value? (a) i (b) 2 (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*m + 52*m - 3 - 1.\nAnswer: -7*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 642222 (base 7) to base 8\nAnswer: 331216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-13))\/d*(d\/(d*d\/((d\/(d*d**(-19)*d))\/d)))\/d)**(-14))**(-2\/57) assuming d is positive.\nAnswer: d**(784\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s)**46)**4 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(2304) + (2*sqrt(2304) - sqrt(2304)))*1 - sqrt(2304))\/(2*(5*sqrt(32))\/sqrt(4)))**2.\nAnswer: -288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4700 and 67\/14100.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87819\/896 - -35\/128. Let f = n - 98. Let k = -51 - -51.5. What is the nearest to 2 in k, 0.2, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 5*m**2 - 2*m - 2. What are the prime factors of o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a. Let q(r) = -2*r. Calculate -10*c(t) + 5*q(t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7 - (-1 + -1 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 - (2 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4983 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 8*d + 9. Let f be v(-7). What is the highest common divisor of 8 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - q + 1. Let y be d(1). Suppose 2*p = 3*b + 62 - 14, -p + 2*b + 25 = 0. Solve -j = -0*j - 5*r + p, 6 = 2*j + y*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -2\/15 (c) 1\/5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -576*n + 601*n - 200 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 1, g: 1, l: 1, d: 2, z: 1}. Give prob of picking 1 g, 1 q, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 24 = 5*z. Suppose 5*s - 8 = 5*c + 42, 3*c = -15. Suppose s*p + u - 12 = 4*p, 3*u - 10 = -p. What is the remainder when z is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 368 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 145 - 227 = 0. Let m(a) = 6*a**2 - 16*a - 10. Let k be m(-5). Let x = v + k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*k + 7278 - 6158 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 2*r**2 + r. Let g be l(1). Let y be (-4 + 5)\/(-2 + g). What is the third biggest value in 4\/7, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5 - (-6)\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-2) + 240\/(-80)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -183*s**2 + 199*s**2 - 2*s - 6358*s**3 + 6352*s**3 + (4*s**3 - 3*s**3 + 0*s**3)*(-4 - 2 + 5).\nAnswer: -7*s**3 + 16*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = -3*o, -4*a + 4 = 8. Let q be -5*1\/(-5) - (1 + o). Suppose -5*b - 6 = -4*h, 10 = 2*h + 2. Solve c + q*y = -b*c + 15, -6 = 2*c - 2*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 3\/8, 23, -0.1, -38\/13?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 826 + -771. What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -25. Suppose 4*q = m*q - 195. What is the remainder when 76 is divided by q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3672506 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-12)\/v*v**8)**47)**(-30) assuming v is positive.\nAnswer: v**7050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029283 to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17*y**2 - 3*y - 5. Let h(f) = -8*f**2 - 2*f - 3. Let o(p) = -5*h(p) + 3*l(p). Calculate o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 155 - 157 = q, 38 = -19*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(605) - (sqrt(605) + -2) - (sqrt(60)\/sqrt(3))\/sqrt(4)) + 5 + 6*(sqrt(80)\/sqrt(4) - (-1 + sqrt(405)))**2.\nAnswer: -85*sqrt(5) + 1482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1 - 19\/(-171)*-27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132033 (base 5) to base 13.\nAnswer: -9682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 3*y - 6. Let o be (-2)\/(-8) + 15\/20. Let v be (6 + -2 + 1)*o. Let l be f(v). What is the greatest common divisor of l and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -206*c**2 - 1. Let i(b) be the third derivative of b**4\/8 + 5*b**2 + 43. Calculate s(i(z)).\nAnswer: -1854*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1980*k + 669*k - 2220*k to p + r*k and give r.\nAnswer: -3531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 3*q**2. Let k be i(-3). Let b = 3051 + -3048. What is the nearest to 0 in 0.4, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 3\/25 (c) -7 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-7)\/x*x*x\/(x*x**(3\/7)\/x))**46 assuming x is positive.\nAnswer: x**(-1748\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2 = 5*d - 16, -2*d - 10 = -b. Suppose 3*a - 15 = -3. Let c = 6 - a. Solve -c*p + b = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 minus 17.6?\nAnswer: 63.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*k - 178*k + 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 4, a: 5, i: 1, x: 5, c: 2}. Give prob of picking 1 d and 1 i.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + (26 - (38 + -24))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1452833516 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(125) - sqrt(125)) - (sqrt(125) + -1)*4.\nAnswer: -20*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6*w + 16 = 0. Suppose -w*n + 3 = -3*m - 4, -3*n + m + 7 = 0. What is the remainder when 13 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40074874 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 156953468 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 25183034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 5*y + 4. Let o be z(-3). Solve 0*v - 4*v = -o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 339 + (-245)\/49. Let r = 337 - x. Solve t + r*t = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - 5*c + 44625 = 0. Let w = 132095\/74 - c. Is w not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 6*g + 566. Suppose 46 = 7*d - g. Let m = d + -48. What is the closest to 0.05 in -2\/5, -4, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 784 (b) -0.1 (c) -58171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.632 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8639 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.54 - 0.44. Let z = 0.68 + n. Let p = -33 - -69\/2. Which is the closest to -0.3? (a) p (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100\/40)\/((-4)\/(16\/(-1)))*27\/1305\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 16*j = 4*u + 48, 0 = -5*j + 5*u - 72*u - 494 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 555.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 0 - 3)*(q - 2*q + 0*q + (-1 + 1 + 2)*(2*q - 2*q - 2*q) - q - 3*q + 3*q).\nAnswer: 84*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(27) + sqrt(27)*3)*3)\/(sqrt(81) + sqrt(81)*-3*-5).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/35192 and -57\/1328?\nAnswer: 70384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 - -0.2. Which is the second biggest value? (a) i (b) 0.07 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149612 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*s + 7*s = 8, -5*s = -4*i + 32. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1146 and 11460.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35 - -29 - (-11 - 1) - (1 - (5 - 24))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32217 is divided by 886.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 102*y - 448. Give a(53).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a - 1487. What is w(-72)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/48440 and -45\/8.\nAnswer: 48440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 15*m - 8. Let f be s(-14). Suppose -h = -4*c + f, h - 6 = -4*c + 4. Let p be -3 + 7 + -2 - h. Solve -4*g + 5 = a - p*g, 20 = 4*a - 5*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 10*a. Let n(h) = 2*h**2 + 8*h. Let p(y) = 5*n(y) - 4*t(y). Let u(z) = -184*z**2. What is p(u(c))?\nAnswer: 67712*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-42)\/15)*-5. Suppose 4*v - s = 2*v. Suppose v*z + 471 = 10*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (12 + (35 + -25 - 24))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19945.1 + 19945. What is the closest to z in -4, -2\/71, 0.2, 2\/7?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931)*-4.\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 423579 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5)\/w*w)**(-1\/17))**(-15)\/((w\/(w**(-2)*w*w*w))**(-44)*(w\/(w*w**(-8)))\/w**(-1\/5)) assuming w is positive.\nAnswer: w**(-712\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let l(r) = 2*r**2 - 6*r + 5. Let c be l(-6). Suppose -2*v - 286 = -5*d - p*v, c = 2*d - v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssmsjisiscssssfjf. Give prob of picking 2 j and 1 f.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 64 - 2224*b - 91 + b**2 to u*b + s*b**2 + f and give u.\nAnswer: -2224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 10*w**2 + 12*w - 7. Let u(v) = -2*v**3 + v**2 + v. Calculate the remainder when j(11) is divided by u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 771264 and 9.\nAnswer: 6941376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -856984 and -4.24558.\nAnswer: -856988.24558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6115012 = 8*x + 1677138 - 39833102. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2689 + -2688.9. Which is the third smallest value? (a) w (b) -0.058 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -5 (b) -3 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -841792, -2 in decreasing order.\nAnswer: -2, -12, -841792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0*d - 2*d + 4*d) + 85*d - 32*d - 30*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.55 + -0.5. Let u = 0.05 + l. Which is the second smallest value? (a) 3\/5 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93409*h**2 + 93914*h**2 - 187282*h**2.\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, f: 2, u: 1}. Give prob of picking 1 l and 2 f.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 105080*z**2 + 6599875*z + 6704960.\nAnswer: 5*(z - 20953)*(z - 64)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecee when four letters picked without replacement from hhechheeh?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = -5*x - 1, 4*x + 2*o - 6 = 0. Let s be 3930\/(-25) - -1 - x\/5. Let v = s - -34. What is v rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 8*c + 9. Let m be h(7). What is the third derivative of -2*a**3 + m*a**3 + 4*a**6 + 2*a**2 - 7*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m*m\/((m*(m*m**7*m)\/m)\/m)*m*m)**17\/((m*m**14*m)\/m**(-25)) assuming m is positive.\nAnswer: m**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - 11*y**3 + 7*y**3)*(y**2 + 1 - 1) + (-2*y**2 - y**2 + 2*y**2)*(-2*y**3 + 2 - 2).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55957, 111979, 168071, 224233?\n\"Answer: 35*c**2 + 55917*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55, -72, -467, -1130, -2061?\n\"Answer: -134*v**2 + 275*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 70 = -59*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:56 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 42053104 divided by -5584\nAnswer: -7531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = 3*j, -3*j = -3*n + 2*j + 25. Suppose n = -5*t + 3 + 2. What is the least common multiple of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2292990 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 39*x + 153. Give y(12).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 48411.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -2\/7, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 499*c + 1658*c - 1029*c - 326 - 543 wrt c.\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11764.12926313 - 10783.129261189. Let g = -981 + r. Round g to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/48 and -71\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*n + d + 288, -4*d - 150 = -n. Is n at most 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u + 3. What are the prime factors of f(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532285449?\nAnswer: 1532285449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 20, 3*r - 4*j - 1559 = -9*j. List the prime factors of r + 0 + 12 + -14.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2980 divided by 745?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 1739.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-5 + 1) - 4. Which is the nearest to -1\/6? (a) -2\/9 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66938*z - 5523?\nAnswer: -66938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -40*d**2 - 594*d - 444. Calculate k(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (149 - 19) + -31 + -39\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:20 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r**2 - 2*r + 56. Calculate the remainder when 118 is divided by n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 2*t + 2. Let f be l(-2). Suppose 5*d + 368 = 2*p - 130, -4*p = -4*d - 996. Find the common denominator of (p\/18)\/(f + 1) + 2 and -29\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 942 - 940. Let a(n) be the first derivative of y - 9*n - 13\/2*n**2. What is the derivative of a(o) wrt o?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948750183260 less than -0.5?\nAnswer: -1948750183260.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1634257231 rounded to 6 decimal places?\nAnswer: -0.163426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2091*q**3 + 576 - 94*q + 590*q + 16*q**2 + 140*q**2 + q**4 + 2112*q**3.\nAnswer: (q + 4)**3*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2 + 4. Let l = -79 - -79. Sort l, -2, f in descending order.\nAnswer: l, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*u + 262*u = 384 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302624459?\nAnswer: 311, 973069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= -1233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -0.3. Let p = -92 - -100. Let a be (p\/(-12) + (-50)\/24)*4. Which is greater: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441191255.\nAnswer: 3, 5, 7, 37, 409, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, w: 4}. What is prob of picking 1 c and 3 w?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35401 (base 9) to base 13\nAnswer: a9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/51 + (-2910)\/(-3060). Put m, 3\/2, -3, 0.2 in ascending order.\nAnswer: -3, 0.2, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/12)\/(167*(-148)\/(-1927848)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8 - (-1 + 1)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -4.7. Let l = 17 - r. Let k = l - 10. Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v**3 - 2*v**2 - v. Let q be i(-1). Suppose j = 7*j - q. Find the third derivative of -2789*g**2 - 9*g**j - 9*g**4 + 2802*g**2 wrt g.\nAnswer: -432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:00 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232 - 81 + 4*o - 4*o - 124 - 5*o**3.\nAnswer: -5*o**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s + 9. Let i = -2471 + 2482. Give j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -392? (a) 0.2 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120\/4893713 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11259707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103777022, -103777009, -103776996, -103776983?\n\"Answer: 13*o - 103777035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qgq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 5 + 5.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-12)\/(-54)*-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 113 + 13 = -48*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-26)\/p*p**36*(p\/(p**15*p))\/p**(-8\/7))**6 assuming p is positive.\nAnswer: p**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctwl when four letters picked without replacement from {z: 1, w: 1, c: 1, t: 2, l: 5}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8*24.24715.\nAnswer: 92.13917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111613819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69*21\/504*-16?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-46) + (-22)\/(-5566)*517. What is z in 11250\/11 + 300\/11*z + 2\/11*z**a = 0?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -0.09 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18394*h**2 - 665*h - 7418. Is t(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2)*(-3600)\/1350\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 14*x**3 - 133195*x**2\/2 + 4622803*x\/2 + 82635 = 0.\nAnswer: -1\/28, 35, 4722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -182? (a) -96 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*g*i*j*w**2 - g*j*w + 38*g*w - i*j*w - 307*i*j + 2*i*w + 3*j*w**2 + 2*j wrt g.\nAnswer: -19*i*j*w**2 - j*w + 38*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 25*i = 85*i + 1170 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -g - g + 2*f, -2 = g + 2*f. Let w(q) = 2*q - 1. Let c be w(-1). Let b = c - g. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1569, 3160, 4785, 6450, 8161, 9924, 11745?\nAnswer: 13630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46920\/(-19550)*(-2)\/(-60)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 + 54*p**2 + 104*p + 105. Let k be f(-25). Solve -k + 55 = -10*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + z - z + (-4*z - 7*z - 2*z)*(3 - 4 + 2) + 3 + 4 + z - 5 to the form y*z + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/9*-3 + 27. Suppose -5*s = n, -2*q - q + 119 = 5*s. Let i = q + -34. What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 554511447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-27))\/((-4)\/(-9)). Let x = -0.4 - -0.1. What is the nearest to 1\/2 in x, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a + 24. What is s(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 10*i**2 + i + 13. Let l be d(-10). Find the second derivative of -7*n**l + 70*n - 76*n - 8*n**3 wrt n.\nAnswer: -90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d - 235. Let r be m(28). Suppose -79 = 3*i - r. Let n(p) = p**2 + 3*p + 3. Determine n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:17 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -6106 (c) -7 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 1 (b) -6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 719*l**6\/15 - 1931*l**4\/12 - 25*l**2 - 2*l + 5. What is the second derivative of q(f) wrt f?\nAnswer: 34512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-15)\/27)*2 - -7\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 divided by -5092?\nAnswer: -953\/5092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/20*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 36. Let p = -2 + 7. Let k = -6\/13 - -23\/78. What is the nearest to k in z, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/428740 and 53\/30264?\nAnswer: 2572440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**6\/30 + q**5\/10 - q**4\/12 - q**3\/3 + 8*q - 5. Find w such that a(w) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 283 (c) 11 (d) -19 (e) -5 (f) -4 (g) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 30 + -17 - -41?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 128.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56420020 + 3?\nAnswer: -56420015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -3326.2132.\nAnswer: -5654.56244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 - 2*q**2 + 295*q. Let f(a) = -10*a + 5. What is f(i(v))?\nAnswer: 10*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087394.\nAnswer: 2, 7, 11, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02544 + 0.024. Round r to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let r(l) be the first derivative of l**3\/2 - 6*l + 8. Let y(v) be the first derivative of r(v). Determine y(p(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/520)\/((-3)\/(-4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 900 + 240. Let m = i - -54. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-40)*10\/18)\/1.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 46*d - 12. What are the prime factors of s(4)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 864 = 3*u. Suppose -5*z = 20, 44*k + 8 = u*k - 3*z. Which is the biggest value? (a) k (b) -4 (c) 20\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1867, 1868, 1869, 1870, 1871?\n\"Answer: i + 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9960 is divided by 384?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjukujkkjjk. What is prob of picking 2 k and 1 j?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -132 (b) -0.1 (c) -3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c - 11. Let t be s(15). Let n be t\/(-462) + 1\/(-3). Let g = 41\/198 + n. Which is smaller: -1\/2 or g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*1\/(-1)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*t + 0 = -8, 2*t = 4. Suppose j = i - 37 - 413. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6438.9991534 + 6439. Round b to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312255 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 80 = 4*v + 3*r, -2*r = 4*v - 82. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:13 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 301565 (base 8) in base 2?\nAnswer: 11000001101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/78363 and -58\/81.\nAnswer: 705267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126614630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/9 (b) -12\/11 (c) 0.2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164285?\nAnswer: 5, 11, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39\/5 in -0.4, 1\/10, 0.5, 7, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1031 * 0.0893.\nAnswer: 92.0683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkll when four letters picked without replacement from {l: 3, k: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 26*j - 4. Let p be w(26). What is the smallest value in -5, 5, -0.4, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7 + 13. Let q = k - -12. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7\/(126\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1095*k**4 - 168981*k**3 + 381706339 wrt k?\nAnswer: -4380*k**3 - 506943*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((2 + 11 - 5) + -18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {j: 1, b: 2, s: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 14. Let m(g) = -6 + 7 - 3 + u*g. Let f(j) = 3*j - 3. Let x be -2 - 64\/(-4)*(-2)\/(-4). Calculate x*f(n) - 10*m(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) + (3712\/(-240))\/(-29).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/16*(768\/(-36))\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4138 - -33191\/8. What is the common denominator of -19\/26 and k?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 95. Let n be q(29). Let g(a) = 2*a + 19. Let o be g(n). What is the second derivative of -4 + 25*x**o - x**2 + 59*x + 59*x - 120*x wrt x?\nAnswer: 150*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:34 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/(-2))\/13*(-536)\/(-2). Let x = -131 + f. Suppose -3*y + 334 - 106 = -x*m, 5*m - 220 = -3*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 1, 409.\nAnswer: -165, 1, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2114263 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 20*f + 47. What is o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251.6912 - 1.2688. Round d to zero decimal places.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + 3 - 2)*(-3 - 1 - 4).\nAnswer: -8*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**6\/30 + p**4\/6 - p**2\/2 - 17*p. Let s(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7424, -7494, -7628, -7826, -8088?\nAnswer: -8414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -ffb1?\nAnswer: ffc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907131 to the power of 1\/2, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 2*g**2 - 7*g. Let y be x(3). Let p = 850 + y. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, s: 1, v: 2, i: 4, d: 1, u: 2}. Give prob of sequence iiu.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 44 = -3*n, -2*a + 118 - 19 = -5*n. Suppose -a = 5*c - 4*c. What are the prime factors of -2 - (9\/3 + c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 4*h - 10, -r = -h - 15 + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133311 or 133310?\nAnswer: 133311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1732 - 1731.9. Suppose -4*w - 3*j = w - 10, 0 = -4*w - j + 15. Let o = w - 8. What is the third biggest value in t, -0.7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7949\/3 + 7954\/3. What is b in 25\/3*b - a*b**2 - 10 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + (0 - 3 + 5)*(4 + 3 - 4) + 0 + 2 + 0)*(2*v - v - 2*v)*(-2 + 4 - 1).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/(6018\/272))\/(6\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586779 to the power of 1\/2, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*48\/9. Let n(g) = -2*g**2 - 34*g - 4. Let j be n(-14). Calculate the greatest common divisor of j and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11803097 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25975? (a) 0.1 (b) 19 (c) 0 (d) -5 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-0.038\nAnswer: -0.00304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7996 + 32284 = 352*w for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 5:52 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98 + -0.173?\nAnswer: 0.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54354 + -b3?\nAnswer: -54437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**2 - 5*m**2)*(m**3 + 7*m**3 - 4*m**3 + (-4 + 2*m + 4)*(2*m**2 - 2*m**2 + 2*m**2) + 2*m**3 - 10*m**3 - 9*m**3).\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a29 (base 12) in base 5?\nAnswer: 1021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3787 + 3770. Put -2, 2\/11, -0.3, 2, q in decreasing order.\nAnswer: 2, 2\/11, -0.3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113.5 * -0.04\nAnswer: 4.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21542 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.483 - 1.517. What is the nearest to 8 in 3, 1, 0.2, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 + 11*v + 0 - 5*v - 7*v**2 + v**3. Suppose 27*n + 80 = 31*n. Suppose 9*f + 66 = n*f. What is g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121222102011 + -10?\nAnswer: -11121222102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25539\/446041 + 78506228201\/301122279100. Let n = d - 412\/1075. What is the common denominator of n and 149\/12?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 1943 = -503. Solve v*a - 20 = 76*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**3 + 3*y - 6. Let f(d) = -2*d**3 + d - 1. Let v(c) = 2*f(c) - o(c). Calculate the smallest common multiple of 20 and v(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 61\/(-6) - 2\/(-3). Let p = -251\/26 - u. Let j = -168 - -163. Which is the closest to -0.1? (a) p (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -1101*n**5\/5 + 67*n**2\/2 - 2*n + 969. What is the second derivative of b(v) wrt v?\nAnswer: -13212*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3428.3 rounded to the nearest ten?\nAnswer: -3430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = 25*g - 12. Let n(z) = 120*z + 1. Is n(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53029*y**2 - 26561*y**2 - 26446*y**2.\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7515.4 - 49?\nAnswer: -7564.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08649 - -0.08649. Which is the second smallest value? (a) k (b) 1 (c) 4 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3089304 by -321.\nAnswer: -9624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42296?\nAnswer: 2, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-12) + (-84)\/(-39). Which is the third smallest value? (a) -0.1 (b) h (c) 1\/3 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*y**2 - 461*y**2 - 462*y**2 + 4 + 1052*y**2 - 4 + 331*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -8, -92 in ascending order.\nAnswer: -92, -8, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99991, 99932, 99873, 99814, 99755, 99696?\nAnswer: 99637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*p**5\/11 + 248*p**4\/11 + 318*p**3\/11 - 84*p**2\/11 - 160*p\/11 = 0. Calculate p.\nAnswer: -40, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*h + 14, -5*j + 10 = 4*h + 4. Solve -4*k + t + 17 = h*t, -2*k - 2*t + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 19072?\nAnswer: 629376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 15*v**2 + 2*v - 29. Let i be t(15). Let h be (-1 + (-4)\/(-3))*33 - 8. Sort h, i, 5, -1 in ascending order.\nAnswer: -1, i, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 203*b - 193*b + 18*b**3 + 4 + 581*b - 196*b + 2*b**2 to the form q + p*b**2 + z*b**3 + n*b and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1597725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 102, 134, 155.\nAnswer: 8, 102, 134, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*-1*-6 - (-1*sqrt(156)*-1 + sqrt(156) - sqrt(156)))*-4)\/(((sqrt(144)*2 + sqrt(144))\/sqrt(12) + -2*sqrt(12)*2)*5).\nAnswer: -24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t - 139 + 203 + 424 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/((-1)\/1) + (80 - 88). Suppose 3*s - 5*s = -80. Is s smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 - 4*s - 6. What is n(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4146.7894 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 15. Let s(b) be the first derivative of -b**3\/3 - 7*b**2\/2 + 1. What is the remainder when s(-5) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 9 + 26 - 2 + 3 in the form w + u*b and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {u: 2, p: 2, e: 3, f: 2, y: 2, c: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15 = -z - 0*k, 0 = -3*z - 3*k + 30. Let m(h) = -h + 4*h - z*h + 0*h. Let a be 3\/(-9) - 7\/(-3). What is m(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -85, -162, -281, -454, -693?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392*o**4 + 2290*o**3\/3 + 271*o**2 - 9*o = 0. Calculate o.\nAnswer: -1\/3, 0, 3\/98, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/5 + 136*a**4\/5 + 766*a**3\/5 + 1376*a**2\/5 + 744*a\/5 = 0.\nAnswer: -62, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.99011l to millilitres.\nAnswer: 77990.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 8*v**2 - 3*v - 7. Give r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158868\/295 bigger than 540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 105 (b) 3\/5 (c) -13\/2 (d) -0.3 (e) 4 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -12. Let r = -165 + 200. What is the smallest common multiple of r and h?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22c2 (base 16) in base 5?\nAnswer: -241043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**3 - 13*h**2 + 11*h + 2. What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8430, -16817, -25164, -33471, -41738?\n\"Answer: 20*a**2 - 8447*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.29453676 rounded to 2 dps?\nAnswer: -10.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6061331 divided by 2?\nAnswer: 6061331\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -899*q**2 - 147*q - 38. Calculate f(1).\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30144, -60285, -90428, -120573?\nAnswer: -150720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from {w: 2, c: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 4, 2\/9, -0.1, 0.258, -0.254, 0.2?\nAnswer: 0.258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14480 is divided by 2890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8013 + -1.2197. What is t rounded to two dps?\nAnswer: -4.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) -0.3 (c) 23272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20333 times 0.3?\nAnswer: 6099.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273701416?\nAnswer: 2, 13, 12247129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**4 - 13*g**3 + 36*g**2. Let v(f) = f**4 + 6*f**3 - 18*f**2. Let s(k) = 6*o(k) + 13*v(k). What is the third derivative of s(n) wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133340174 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 87.18. Let o = 2.18174 - b. Round o to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 43 - 127 = 0. Let y = 121 + -57. Suppose 4*p = 2*i + 2*i - y, -4*p = 3*i - 13. Calculate the remainder when o is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/(((g**(-2\/7)\/g*g)\/g)\/g*g))**(-31) assuming g is positive.\nAnswer: g**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41 + 6?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -638960 rounded to the nearest one thousand?\nAnswer: -639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -279\/308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/11 + 106\/22. Suppose -k*h + u + 20 = 2*u, 4 = h + 4*u. Let n = 6 - h. Solve -2*p = 3*i - 7, -i - 6 = -n*p - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.11 + 3.11. Suppose 0 = 3*r - 3*t - 15, 5*t = -4*r - 21 - 4. Let i be ((3 + r)\/6)\/(-1). Are w and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:39 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 504.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1267545 (base 9) to base 16\nAnswer: a98b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1728 - 1724. Let v = -23\/50 + -1\/25. Let l = 6 - 5.5. Which is the smallest value? (a) v (b) 1 (c) k (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 - (-3 - -8) - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -25. Let d = n + 20. Which is the nearest to -1\/4? (a) 2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.113 and -1.9?\nAnswer: 0.2147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -33.5. Let u = -2.8 - o. Let g = -5.5 - -0.5. What is the closest to -1 in -1\/6, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3894*n = -3893*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.768 + 1.568. Which is the nearest to z? (a) 1\/3 (b) 0.014 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811776784?\nAnswer: 2, 101, 239, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -37007*a. Let x(i) = -11*i**2. Determine k(x(h)).\nAnswer: 407077*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 + 0.26999965. What is x rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 4. Let j be p(0). Let w = -4 - j. Suppose -3*x = -w*x - 18. Solve -5*m - 4*y = 0, -3*y = -x - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*f + 7*f**3 - f**3 - 412*f + 214*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 4. Let l = 4 - 6. Let d = 2 + l. Let s be g(d). Put 1, s, 2 in decreasing order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -84*p + 21. Let b(u) = u - 1. Determine -21*b(f) - j(f).\nAnswer: 63*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*o + 50, -3*f + 2*o = o - 89. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 270, 601, 1064, 1659, 2386?\n\"Answer: 66*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21*m + 29. Let l(o) = -4*o - 6. Suppose d = -4*d - 10. Let k(p) = d*s(p) - 11*l(p). What is k(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42)*15\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 2. Let q(w) = 6*w + 5. What is -5*j(r) + 2*q(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 276 = 5*g. Calculate the remainder when (1 - 0)*(g - -3)\/4 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 3*y - 2*y)*(2*y**3 - 2*y**3 - 2*y**4) + 10 - 3*y**5 - 10 - 10*y**5 - 17*y**5 - 8*y**5.\nAnswer: -40*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 581, -3, -56 in decreasing order.\nAnswer: 581, -0.5, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 251 divided by -4\nAnswer: -251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**4\/12 - 2*k**2 + 6*k. Let b(c) = 0*c - 2*c + 0*c. Give b(f(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 73 + 1. Suppose r - k = -2*r. Calculate the greatest common factor of 48 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/24 + l**2. Let d be ((-2)\/6 - -1)*114\/(-19). Let r be (-82)\/16 - ((-93)\/(-24) + d). Calculate u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -83, -129, -175?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 54) + (0 + -2 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1738*j**2*l**3*z**2 - 4*j*l**3*z**2 - 2*j*l**2*z + 2*l**3*z - 26*l**2 wrt j.\nAnswer: -3476*l**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-39)\/364*-14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.46 - 21. Round f to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1945, 0.06, -5, 1, 1\/2, -0.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1 - r - 1. Let b(y) = -y + 4. Let w(c) = -2*c + 7. Let h(o) = 7*b(o) - 4*w(o). Give m(h(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 13094 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 4*v**2 + v - 3. Suppose 2*i - 4*r + 24 = -2*i, 3 = 4*i + 5*r. Let c be u(i). What is the second derivative of -c*f + f - 8*f - 10*f**2 wrt f?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Let c(s) = 2*s + 2. Let m be ((9 - 9) + 28\/2)\/(-1). What is m*o(a) + 6*c(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10523?\nAnswer: 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 17. Let f(h) = -2*h**2 + 27*h + 14. Let v be f(14). Suppose 7*a + 21 = -v*a. List the prime factors of l(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**5\/20 + p**4\/6 - p**2\/2 - 4*p - 5. Let m(a) be the first derivative of q(a). Calculate m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = -c. Find the third derivative of -159*z**3 - c - 4*z**2 + 159*z**3 + z**2 + 73*z**6 wrt z.\nAnswer: 8760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - 280\/(-1290). Let c = p - -5\/43. Solve -4\/9*i**3 - 2\/3*i**4 - 2\/9*i**5 + 2\/9 + c*i + 4\/9*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 706, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74221 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let r be q(-8). Let z = -1 + r. Let x be 0 + z - (2 + -1). Solve b - 9 = -4*t, x*t + 20 = 3*b + 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2638*j*p**2*q**3 + 319*j*p**2*q**2 - 466*p**2*q**3 - 2*p**2*q**2 + 1111*q wrt q?\nAnswer: 15828*j*p**2 - 2796*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:27 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196.42 + 231.3696. Let p = -35 + j. Round p to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 2. What is the closest to 0 in 2, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2939 is divided by 293.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - i**2 - i - 1. Let c be h(-1). Suppose 9 = -3*j, -5*p + 2*j = 4*j - 159. Calculate the remainder when ((-1)\/c)\/(2\/(-520)) is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - (-2469 + (5 - -3))) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3855539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z - 7. Give c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 5*m = 18, 5*m - 133 = -5*r - 113 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -21)\/2*(-17)\/34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwggggwgwgwg. Give prob of picking 3 g and 1 w.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.2. Suppose -7*v + 11*v + 16 = 0. Which is the nearest to 0.1? (a) m (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 100*u + 840. Calculate the greatest common divisor of 3130 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from zqgnggqqzqgnqqqgnqq?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*q**5 - 35657*q**3 + 9*q - 165545?\nAnswer: -1780*q**3 - 213942*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*l - 18. Let v = -5 + l. Let g(n) = -1 - 4*n - n**3 - 3 + 4*n**3. Let u(y) = y**3 - y - 1. Give v*g(q) - 4*u(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 4182*a - 184332. Calculate v(-45).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-6) + 52\/10. What is the nearest to 4\/19 in -1, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 7, r: 3}. Give prob of sequence srr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 287 - 1333 = -103 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/391516903 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2014132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**4 + 16725335*u**2 + 4295541*u - 46 wrt u.\nAnswer: 60*u**2 + 33450670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b = 726 + 1514. Solve 135 = -5*w + b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l - 2*l**2 + (0*l - l + 2*l)*(2*l - 2*l - 2*l) + 3*l**2 + l**2 - l - 2*l**2.\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*k - 119*k - 5*h = -40, -k - 2*h + 29 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 19*c**2 - 2076*c - 145. Let o be s(-37). Let -3\/5*p**2 + 2\/5 - 3*p**4 - 9\/5*p + 43\/5*p**o - 18\/5*p**5 = 0. What is p?\nAnswer: -2, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 1. Let b(k) = k. Suppose -11 = -5*t - 6. What is t*d(g) - 5*b(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3481982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 74816*u + 2769561. Give o(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.9322\nAnswer: 0.9322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199465 and 4170?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -3*r - 6604, -2*r - 3301 = -j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/24 - p**3\/2 + p**2. Let m be c(10). List the prime factors of (m\/2)\/((-1)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, y: 1}. Give prob of sequence yya.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 7. Let i(b) = b**3 + 8*b**2 - 9*b + 4. Let o be i(x). Let d = 13 - o. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -151, -353, -637, -1003, -1451, -1981?\n\"Answer: -41*v**2 + 3*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424651656 to the power of 1\/3, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Suppose 16 = -3*h - r, 2*h - 3*r = -0*r - 7. Let f = h - -8. Let t(n) = 3*n**2 - 5*n**2 + f*n**2. Give t(l(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14400 and 23600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -12*i + 280. Let h = 44 + 33. What is the remainder when h is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4423 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 0 = 4*c - 23, -5 = -c + r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.5 (b) -3 (c) -7609.3 (d) 1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12277*o - 220989. Give w(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1035, -1034, -1033, -1032, -1031, -1030?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 + 171. Which is smaller: -174 or w?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*q + 1445*q = 464*q - 23976 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 + 6*k + 7. Suppose 5*u + 7 = 2*s + 18, 2*s = -4*u + 16. Let p be (-2)\/u - (5 + (-210)\/18). Let m = p + -1. What is z(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + o - 3*o)*(1 - 1 + 1) + o + o - o + o - 3*o + 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let b(k) = -12 - 10*k - 7 + 8 + 8 + 10. Calculate b(t) + 6*q(t).\nAnswer: -10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 109, -151, -611, -1325, -2347, -3731, -5531?\nAnswer: -7801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760544 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 - 3*n + 30 + 0*n - 3*n + n + (3 + 2*n - 3)*(0 + 3 - 1) + (0 + 3 - 5)*(3*n - 3*n - 6*n) + 1 - 1 + n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -295367318 - 33156?\nAnswer: -295400474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 5*h**3\/6 - 7*h**2\/2 - 8*h. Differentiate p(k) with respect to k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-6) - 1 - ((-1185)\/90)\/79?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165202*b**5 + 27*b**3 + 1129*b - 1349.\nAnswer: 3304040*b**3 + 162*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/21)\/(5*(-1)\/2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.3 + 39.3. What is the third biggest value in 1\/20, 6\/7, j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552 + 0?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15603648 divided by -9?\nAnswer: -5201216\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01753 rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 192 = -207 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 2:55 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857223 is divided by 171443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1148614662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 105 + 0*u**2 + 1\/3*u**3 + 0*u. Let x(h) = -52*h - 1. Calculate x(z(k)).\nAnswer: -52*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*b + 2\/11*b**2 - 4\/11.\nAnswer: 2*(b - 2)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1315\/7 + 187. Calculate the common denominator of -69\/4 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + (-594)\/153?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -438\/19 + 13824\/209. Is 42 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 14. Let s(i) = -4*i - 55. Let t be 4\/18 + (-1372)\/(-63). Let g(w) = t*j(w) - 6*s(w). Calculate the remainder when 36 is divided by g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(288)).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*n + 10 = 0, c + n - 4 = -9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10147 + 10140. Let x(o) = o**2 - 4*o - 103. Give x(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4 - 8 + 1 + 358*d**2 + 367*d**2 - 727*d**2 - 12*d. Give m(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v - 20. Suppose o - 180 = -v*o. Suppose -4*a + o = -4*w, 0*a - w = 3*a - 11. Solve -a = 2*p + 4*m + 5, -3*m - 3 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/255321 and -23\/169983?\nAnswer: 438386157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2 - 2)*(24 + 35 + 303)*(3 - 7 - 2) - 3*m - 2 + 2 + (3 - 2*m - 3)*(-6 + 2 + 2) - 3*m + 2*m - m + 1 - 1 - 2*m.\nAnswer: 2169*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.269262 decades to years.\nAnswer: 2.69262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 625 - 0?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6263974, -6263972, -6263970, -6263968, -6263966?\n\"Answer: 2*c - 6263976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 56*l**3 + 178*l**3 - 77*l**3)*(-4 - l - l + 6).\nAnswer: -90*l**4 + 90*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/3759 and 77\/10203?\nAnswer: 71421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -11*q**6\/10 + 4*q**3 - 4*q. What is the second derivative of b(f) wrt f?\nAnswer: -396*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140100002 (base 5) to base 13.\nAnswer: 1b9601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 2, w: 1}. What is prob of picking 1 s and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 46*b - 50*b - 2*r, -2 = -3*b + 4*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015654 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.083 + -0.001. Let t = 110.916 - g. Let b = t - 111.77. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*h + 45, 3*v - 12 - 6 = -3*h. Suppose -3*c - 6 = 0, -i + 0*c + 3*c = -14. Is h at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 257 - 317. Suppose -c*n - 9324 = -29*n. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -59*k**3 - k**2 - 4*k. Let v be g(-2). Let p = 749 - v. Let h = p + 30. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, 1, -7, -5, 4 in descending order.\nAnswer: 15, 4, 1, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 + (-10 - (-8 + -9 - 3)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/2414484 and -53\/11.\nAnswer: 26559324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3 + 60688*x**2 - 242800*x + 242816 = 0.\nAnswer: -15176, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 - -103. What is the biggest value in 1, 0, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.007 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 10, 22, 38?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + w - 170 = -5*w - 48*g - 11*g, -g + 28 = -4*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 6. Let x be f(-3). Find i such that 8*i**4 + i**x + i**2 - 9*i**4 - 2*i + i**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 199*s - 1963. Calculate v(5).\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riiiypyyilyplrpliy. What is prob of picking 2 p, 1 y, and 1 r?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6225?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -7b0?\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 7*c + 3168. Suppose s = 2*d + 5*s - c, 10 = -5*s. Suppose 4*u - d - 352 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + 6*d**2 - 28*d - 91. Determine r(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 94454*c + 1228134. What is w(-13)?\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20436516 (base 7) to base 10.\nAnswer: 1723833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1. Suppose -4*m + 6 = -10*m. Let r(j) = -2*j + 1 - 2 - 3. Let z(k) = m*r(k) - 4*a(k). Let p(y) = 12*y. Give p(z(c)).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + o - 18 = 0, 27*i - 23*i - 18*o - 6 = 5*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:00 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5)**50)**26 assuming d is positive.\nAnswer: d**6500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {t: 2, l: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = 4*a + 4*h - 609, -1355 = -5*a - 3*h. What is the remainder when a is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*o = -20, -3*g + 12 = o + o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1216) + 1)*-2 + (0 + sqrt(19) - sqrt(19) - sqrt(19))*3 + (sqrt(171) - (sqrt(171) + -3)))**2.\nAnswer: 2002*sqrt(19) + 112820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 5. Let l(d) = 8*d - 6. Suppose 25 + 0 = 5*v. Let k(w) = v*l(w) + 6*x(w). Let c(g) = -g**2. Determine k(c(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 58426000 to the nearest 100000.\nAnswer: 58400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/8)\/(3\/4). Suppose 5*l + 25 = -5*w, 3*w + 2*l - i*l = -15. Let q = 14 + -9. Sort w, q, 4.\nAnswer: w, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.7771g in micrograms?\nAnswer: 689777100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24478600, 48957226, 73435852, 97914478, 122393104?\n\"Answer: 24478626*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*m - 89*m + m**2 + 6*m**2.\nAnswer: 7*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*p**2 + 96*p + 288 - 288 - 22*p**2.\nAnswer: p*(p + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let j = 1.975 + 0.025. Let i(h) = -2*h + 21. Let q be i(12). Sort j, q, d.\nAnswer: q, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470571280 rounded to the nearest 100000?\nAnswer: -470600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r\/r**(-1\/22))*(r**(-1\/16)*r)\/r assuming r is positive.\nAnswer: r**(157\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 + 380. Let c = s - -80. Is c\/14 + (-10)\/35 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (49 + -16 + -20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m**3 - 22*m + 22*m.\nAnswer: 38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*d + 235 = 0, 4*c - 13*d + 12*d = 979. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.4076?\nAnswer: -0.12228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = b, 0*b + 4*b - 24 = -5*v. Let f(x) = -35*x + 4 + x**2 + 36*x - 4 - 1. What is f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*j - 6*j - 2*q, -j - 3*q = -10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 s, and 2 c when four letters picked without replacement from sssfkcfccfcfccdc.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-45)*-5)\/(((-14)\/(-108))\/(-7)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**4\/24 + b**3\/6 + 3*b**2 + 100*b - 3. Let q(k) = 9*k + 7 - k + 0*k. Calculate 6*d(m) - q(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chc when three letters picked without replacement from hctctcytttcrchcra?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2091*y - 258*y + 436*y = -561*y - 87730 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1210757831 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16035 (base 9) to base 14\nAnswer: 3dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 14 = 10*g - l, -4 = -4*g - 5*l. Suppose 0 = -4*i - g*i + 2860. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517155 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -30. Calculate the highest common divisor of 72 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 + 16*y + 2. Let u be a(8). Solve 17*v - 16*v = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/15*3\/(-9))\/(45\/(-54)). What is the second biggest value in 6, -0.8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32170 or -23\/5?\nAnswer: -32170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -472*y**6 - y**5 + 4*y**2 - 24*y wrt y?\nAnswer: -56640*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.97 - -5. Let c = 0.53 - a. Sort -5, 0, c in decreasing order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258\/295 + -28\/59. Let v = 0.3 - -11.7. Which is the nearest to 0.1? (a) 2 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*y + 3*u, -3*y + 21 = -5*u + 9. Suppose -3*m + h - 4*h = 9, -2*m + h - 12 = 0. Let q be 4*(-6)\/24*0. Sort y, q, m.\nAnswer: m, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -384 - -384. What is the closest to c in -0.1, 1\/8, 4, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -30. Let b = -2 - 2. Is g != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40881763 or 122645288\/3?\nAnswer: 40881763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 3663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -179, -3, -75, -2 in increasing order.\nAnswer: -179, -75, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2185*r**2 + 759. Let b(s) = 4373*s**2 - 1517. Let d(a) = -3*b(a) - 5*q(a). Differentiate d(l) wrt l.\nAnswer: -4388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18852487 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 303203101 (base 4) to base 6\nAnswer: 4305321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 88306\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (1295\/(-148))\/((-21)\/240) and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19063 and 1512909.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1017.7 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 2*n**2 + 0*n**2. Let m(k) = -k. Let o(x) = -x. Let s(b) = 4*b. Let l(g) = -11*o(g) - 2*s(g). Let v(f) = -6*l(f) - 26*m(f). Determine v(d(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110110001001110110011 (base 2) to base 5\nAnswer: 423241030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from cxxcxx?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -36. Let b = t + 0. Calculate the least common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 10. Let b be p(-6). Let w be 8 - ((-5 - -2) + 7). What is the derivative of h**w + 2 + 2*h**b - 3 + 8 wrt h?\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 2*o**2 - 1. Let v(j) = 548*j**3 + 10*j**2 + 581*j + 5. Let m(g) = 5*f(g) + v(g). What is the second derivative of m(u) wrt u?\nAnswer: 3258*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 3*g**2 + g - 4. Let l be p(3). Let q = 0.391 - 0.27. Let v = 0.421 - q. What is the closest to l in 2\/11, v, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.097 - -0.003. What is the closest to p in -2, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Factor 2*r - 3 + 2 - r**2 + w.\nAnswer: -(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2754 divided by -34.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 951377454 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 48 = n - m, -607 = -13*n - 54*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.5 (c) 5\/3 (d) 59 (e) 0.03 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29681 + 0.4.\nAnswer: -29680.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 413897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 4585284*c**2\/7 - 27511650*c\/7 - 41267448\/7.\nAnswer: -2*(c + 3)**2*(c + 2292636)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t*w**5 + 37*t*w**3 - 35*t*w**2 + t wrt w.\nAnswer: 60*t*w**2 + 222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + 0.6. Let n = 14954.5 + -14955. Sort n, -4, q, 1 in ascending order.\nAnswer: -4, n, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -40.2. Let s = p - -6. What is the nearest to -2 in -5, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + 190*k**2 - 121 + k**3 + 119)*(0*k - k - k).\nAnswer: -2*k**4 - 390*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 14383157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -19*p**2 + p - 1. Give j(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*g + 4*g - 21, 5*r - 29 = -g. Let k be (10\/8)\/(5\/20). Find the second derivative of 2*n**r + 2*n + n**k - 3*n wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + 11 + (-9 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -680441289 and -77795?\nAnswer: 680363494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17999833 to the nearest integer?\nAnswer: 4243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(88)\/sqrt(8)) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -93 and 16089240?\nAnswer: 16089333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241042 and 44801.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2465 - 0.2465. Put 0.4, 8, -0.08, h in increasing order.\nAnswer: -0.08, 0.4, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24746*u - 31. Let l(t) = -2*t. Calculate l(h(a)).\nAnswer: 49492*a + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 255?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) 1\/2 (c) 3\/2 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 311 - -103. Suppose l*p - 416*p = -7894. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 26. Determine m(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-12)\/15) - 72\/(-48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from lltld.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4088 + -0.02.\nAnswer: 4087.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u - 107. Let d be s(-10). Solve -r = -d + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -198449675.35 and -4567?\nAnswer: 198445108.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 193 + 8 + -11 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/630 + 17*m**6\/360 - 29*m**5\/90 + 5*m**4\/9 + 205*m**2. Let g(l) = 0. Calculate l.\nAnswer: -20, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 minus -4420781343398?\nAnswer: 4420781343398.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103.5 - 103. What is the biggest value in -0.4, 2\/5, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -7*n**4\/4 - 5*n**3\/6 - 3*n**2 - 11. Let h(o) be the second derivative of m(o). What is the tens digit of h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) 1.9 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20066910637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/15 and 121\/2024808?\nAnswer: 10124040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 48*i + 19*i + 15 - 131*i + 40*i. Let k(b) = -1. Give -15*k(y) - l(y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 7, 15679, 2?\nAnswer: 15679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 339*o. Let j(y) = -8*y. Give j(h(q)).\nAnswer: -8*q**2 - 2712*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0 + 4*b + 1\/12*b**4 - 4*b**2 - 1\/30*b**5 - 139\/120*b**6 + 1\/2*b**3. List the prime factors of c(-1).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:49 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 23*u**2)*(2 - 1 + 1) + (-u - u + u)*(-4 + 4 - 2*u).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 28053.\nAnswer: 392742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 37*u - 35*u - u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and 91\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (9 - (12 + (7 - 10)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 319, 870, 1693, 2818, 4275, 6094, 8305?\n\"Answer: 5*j**3 + 91*j**2 + j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 4*l + 8. Let s(y) = 6*y**2 + 11*y + 23. Let u(g) = -9*g + 195. Let b be u(21). Determine b*s(p) - 17*d(p).\nAnswer: 2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/25 + (-1246)\/(-10). Is (-1)\/(4 + (-505)\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1474.2 + -1474.4585. Which is the second smallest value? (a) 1 (b) v (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 + 1 + -21. Let g = 15410 + -15408. Put g, a, 0 in ascending order.\nAnswer: a, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/((-16)\/(-26)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-613 - -556) + (-2 - -10).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose 3 + 0 = -l, 0 = 3*v - b*l - 84. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1852179 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9761, -19139, -28505, -37853, -47177?\n\"Answer: d**3 - 9385*d - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/100 and -99\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Let h(v) = 3623*v - 1396. Give h(r(l)).\nAnswer: 3623*l**2 - 1396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 339720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.03 (c) -17\/2 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, 55, 45, -9, -131, -345, -675, -1145?\n\"Answer: -4*u**3 + 14*u**2 - 4*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 22 = -2*j, 3*j - 2*j = -o + 7. Let s(q) = 73*q - 13. What is the tens digit of s(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-1 - 20\/(-5)). Let u be 8\/6 - h\/(-3). Let i(s) = 3*s**3 - 1. Determine i(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 74.975 and -13998.26.\nAnswer: -13923.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + 2414\/(-30). Let y = l - -454\/5. What is the common denominator of -63\/4 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6 - 74. Let z be 3\/9 + (-56)\/(-12). Suppose 5*h + 825 = 3*s + 2*s, -3*s + z*h + 485 = 0. Calculate the greatest common divisor of s and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*l*u**3 + 31*f*l - 5*f*u**3 + 129*f*u**2 + 144*l*u**3 - 3 wrt l.\nAnswer: 3*f*u**3 + 31*f + 144*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18841469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 9*y + 11*y + 100 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:53 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1958848 and -1\/1446.\nAnswer: 5876544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(2368\/(-864))*(-8)\/(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from eaaeaeaaaaaaettmeeae.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 + f + 2. Let v(y) = y**3 - 10*y**2 - y - 2. Determine -6*g(d) - 5*v(d).\nAnswer: d**3 - 4*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63393, -126747, -190101?\n\"Answer: -63354*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18976 + -18998. Let h(y) = 17*y + 356. Calculate h(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 4*o**2 - 5*o**2)*(4*o - 3 + 3) + 3*o**3 - 3*o**3 + 3*o**3.\nAnswer: -37*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:16 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 - 16*a + 21. Let u(b) = -9*b**2 - 32*b + 44. Let r(p) = -7*d(p) + 3*u(p). Is r(-18) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/3))**(-17)*((((i**(-1)\/i*i)\/i)\/i)\/i)\/((i*i**(-2\/31))\/i*i))**39)**4 assuming i is positive.\nAnswer: i**(-51272\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*o - 38. Let q be 3*(40\/o + -4). What are the prime factors of (610\/(-15))\/(q\/(-12))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220216 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: Factor -3*q**2 + 1599522*q + 1599525.\nAnswer: -3*(q - 533175)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5565 times 4?\nAnswer: -22260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z. Let b(x) = 131*x - 6. Let j(p) = -261*p + 13. Let k(u) = 13*b(u) + 6*j(u). What is k(a(f))?\nAnswer: 548*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50 + 44 - 5*-1)*-3. Suppose 3 = -3*p, -u*r + 101 = -0*r - 2*p. Suppose 6 = d - 5. What is the highest common divisor of d and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.1, 16, -2\/7, 4\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 17*d**3 + d**2 + 2*d - 2. Does 18 divide h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 e when three letters picked without replacement from qaxxannexaqa.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -21*a + 3960. Let j = 608 + a. List the prime factors of j.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -24*b - 66 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*t + 3660*t**3 - 41*t - 48*t - 54*t - 54*t.\nAnswer: 3660*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/125*-20)\/(4\/(-10)). Let b be (-7)\/((-2520)\/(-153)) + (-1)\/j. What is the nearest to b in 22, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 1196?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -320 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8245305.271 to the nearest ten thousand.\nAnswer: 8250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = -0*k - 3*k. Suppose 97 = -5*q - t + 655, -k = -2*q - 5*t. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27923827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606817.\nAnswer: 1606817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14394602.\nAnswer: 2, 31, 232171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17736?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n = 73*n + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(4\/(-2) + 3). Let x = 17 - 15. What is the nearest to -1 in x, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 7*v - 2. Let s be a(-7). Let u(r) = 2*r**2 + 9*r + 14. Let f be u(s). Solve 2*n + 3 = -x, -n = -f*x + 6*x + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 226\/213 (b) 1 (c) 0.1 (d) -0.0262\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)*f)\/(f*f**(2\/87)) assuming f is positive.\nAnswer: f**(-1481\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283275 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -29. Calculate the least common multiple of ((-186)\/4)\/(t\/8) and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*((0*p + 3*p - 5*p)*(-1 - 1 + 1) + 1148 - 110*p - 1148).\nAnswer: -108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39731.\nAnswer: 67, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 103. Let t(r) = 4*r + 0*r + f + 9*r**2 - r**3 - 10*r**2. What is t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {b: 1, n: 10, s: 5, o: 3, x: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -206, 0.2, 320?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10789 + 10692.34. Let r = b + -2.34. Let v = r + 119. Which is smaller: 2\/5 or v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*x - 105*x**2 - 1 - 7 + 54*x**2 + 54*x**2 - 110*x.\nAnswer: 3*x**2 - 67*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -6 (c) -78 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45718400 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 7*m - 6*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 521189*b**4 - 46*b**2 - 2003*b wrt b?\nAnswer: 12508536*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -16, -4, 8\/1219893 in descending order.\nAnswer: 8\/1219893, -0.4, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlh when three letters picked without replacement from {r: 5, h: 1, t: 1, w: 1, l: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-23 - (-15 + (-4 - -1)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**2 - 17*f + 254. What is b(-9)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7316.855 years in decades?\nAnswer: 731.6855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, i: 5, o: 7}. What is prob of sequence iqo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 7 = 0. Let i(o) = 3*o - 11. Calculate the remainder when i(12) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-27))\/((-572)\/264*(-2)\/26)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:59 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 103546 (base 7) to base 16\nAnswer: 46c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 660630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 14 = -b, -2*b + 4*b - j = 8. Suppose 0 = -b*k + 7 + 1. Calculate the remainder when 6 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369117473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 2*y - 2*y + (-1 + 1 - 2*y)*(-1 - y + 1 - 6 - y + 6 + 2*y - 5*y + 2*y + (3 + y - 3)*(0 + 1 - 3) + 4 + 3*y - 4) + 0*y**2 + 3*y**2 + 2*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1218, -1234, -1284, -1386, -1558, -1818?\n\"Answer: -3*l**3 + l**2 + 2*l - 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from sgnnnssssnsnnpsss.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2748 and -34\/33.\nAnswer: 30228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c**2 - 2*c + (3*c + 0*c - c)*(0 - c + 0) - 2*c**2 + 0*c**2 + 0*c**2 + 3*c**2 + 2*c**2 - 3*c**2 + (36 + 42 - 149)*(2*c**2 + c**2 - 5*c**2).\nAnswer: 138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**4\/8 - 958*f**2. Let g(w) = -227*w**2. Give g(o(r)).\nAnswer: -2043*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 22\/8 - 4. Suppose -12 = 2*z - 2. What is the biggest value in b, z, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -18, -10.\nAnswer: -18, -10, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 3. Let z be i(-4). Let b = 20 + z. Let r = 19 - b. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14*a + 2. Let h = -18 - -21. Let c be k(h). Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98*-9.1564\nAnswer: 897.3272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = a - 92, 11*a = 9*a - 2. Solve -88*d + n*d = 2*u + 30, 40 = 5*d - 4*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17902 is divided by 149.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1650*j - 520*j + 939*j.\nAnswer: -1231*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 50?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -105465 (base 7) in base 3?\nAnswer: -221202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*a**3*d**3 - 4*a**3*d - 2*a**2*d**2 + 14*a - 3*d**5 wrt d?\nAnswer: 174*a**3 - 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230.88 - 235. Let m = u + 4. Let g = m - 3.88. Which is the closest to 0.1? (a) 3 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 11) to base 4.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*i - 876*i = 1467*i + 192*i - 11816 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100590?\nAnswer: 2, 3, 5, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002223 - 11023?\nAnswer: 3331200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332484096 by 8988.\nAnswer: -36992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 0 - 84\/(-4). Let l(z) = -24 - 2*z + 0*z + m. Let u(w) = -2*w**2. Determine l(u(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44.38211413 and -5.\nAnswer: 39.38211413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let j be x(-2). Let q be (3 - 0) + j\/(-1). Suppose 2*g = w - 5 - 0, -q*g - w = -1. Which is greater: g or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1\/5, 19, 3\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001309571 rounded to seven dps?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*g + 371*g = -672 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3117 - 1209336\nAnswer: -1212453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((324\/(-16))\/9)\/(15\/40).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-7 - 10) - -1) + (-36 - -45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2667 - 2411.6. Let v = r + -255. Which is the second smallest value? (a) -18 (b) -0.1 (c) v (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-1422.324.\nAnswer: -15645.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t - 5. Suppose 2*n - 18 = 3*l, 4*n - 7 = -5*l + 29. Let r = -131 + 132. Let f(j) = -7*j + r + n*j + 1 - 7*j. Determine -11*f(g) - 4*v(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5470 or 5471?\nAnswer: 5470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -341b - 2d?\nAnswer: -3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 - 13)*(-1)\/(-1). Let g(w) = -w**3 + 9*w**2 - 9*w + 6. Let r(k) = -5*k**3 + 44*k**2 - 44*k + 30. Let c(h) = t*r(h) - 11*g(h). What is c(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-99))\/((-171)\/(-54))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.1 (c) -19\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 345217121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631071.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 16467851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0*z + 2*z - 4*z + 4*z. Let j(f) be the second derivative of f**5\/60 + f**3\/6 - f. Let g(k) be the second derivative of j(k). What is c(g(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-9) - (-4)\/6. Let w(f) = 16*f + 94. Let k be w(-6). Let q = 1296 - 1295.6. What is the second smallest value in 2, q, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.069 - 0.039. What is the third smallest value in s, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3782638 less than 64304822\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -7. Let s = 18.5 + y. Round s to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -299, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 1, -1\/2, 2\/3, -4, -38, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1\/4*b**5 + 60*b**2 + 70\/3*b**3 + 0 + 293*b + 25\/6*b**4. Suppose k(v) = 0. Calculate v.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 375*o - 371*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + m + 4)*(-3 + 4 - 5) + (14*m - 7*m - 4*m)*(-2 + 1 - 1) to the form u*m + x and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 322430 (base 6) to base 7\nAnswer: 140205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (13 - (32 + -11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/746304 and 139\/11165856.\nAnswer: 290312256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 2, v: 2, n: 3, k: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:36 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*a**4*r + 2*a**2*r + 2*a*r - 384*r - 1 with respect to a.\nAnswer: 208*a**3*r + 4*a*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 8*v + 4*o = 8, 2*v - 3*o + 7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33836, 33857, 33880, 33905, 33932?\n\"Answer: p**2 + 18*p + 33817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000711 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:07 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*p**2 - 11503*p**2 - 4*p**3 + 5*p**3.\nAnswer: p**3 - 11353*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/528 and -41\/924.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + -8. Let i = 20 + l. Suppose -i*s - 76 = -306. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6869 - 2269*f + 6869 to s + k*f and give k.\nAnswer: -2269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 0.1 (b) -1\/3 (c) -1\/6 (d) 2\/3 (e) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 1\/3*h**3 + 0*h**2 + 1 + 0*h. Let u(q) = -q**2. Determine p(u(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (2 - -4) + (-10 + -1 - (-1 - 9))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025392579 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/5 (b) -7 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -254, -41, -7 in decreasing order.\nAnswer: 1, -7, -41, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88.76 - 90.76. What is the fourth biggest value in 0.7, w, -9, 1\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13400*z**3 + 55*z + 25545. Let a(q) = -1489*q**3 + 6*q + 2840. Let b(f) = 55*a(f) - 6*y(f). Differentiate b(w) with respect to w.\nAnswer: -4485*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/601 and 31\/142.\nAnswer: 85342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3872 + 3893. What is the remainder when 85 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let c(w) = 11*w. Calculate c(j) + y(j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1*(14\/22)\/7\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Let q = -0.03 - 0.25. Let h = q - -0.08. Which is the nearest to -1\/2? (a) s (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - 3*v**2\/2 - 3*v - 548. Determine s(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/910 and -45\/35357.\nAnswer: 4596410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 117350946*z**2 + 161845598 wrt z?\nAnswer: 234701892*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 128. Suppose 24 = -h*u + 56*u. Let r(x) = 8*x + x - 7*x - 3*x. Determine r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17763 + 13*q + 17818 - 58*q.\nAnswer: -45*q + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 213 - 1572 = -2*m, 0 = -5*x - 5. Suppose i - 3193 = -m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:55 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 6. Let q = -80 - -86. Let n(p) be the third derivative of p**4\/8 + 7*p**3\/6 + 5*p**2 + 2. Calculate q*n(m) + 7*l(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2128\/(-952))\/(-38) + 188\/(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/3, -261, -2\/11 in descending order.\nAnswer: 4, -2\/11, -4\/3, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 135.6. Let q = h - -56.6. Let y = 51.6 - q. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/100 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, p: 8}. Give prob of sequence pj.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, -3515.7, 19, -4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -20?\nAnswer: 29\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 - 7*x + 3. What is the units digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, r: 2, a: 1, k: 2}. Give prob of sequence krkw.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -25 - (-1 + 3) - (11 + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = -18. Let r(a) = a**2 + 5*a + 3. Let j be r(d). Let m = 2 + j. Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:42 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*q - 3*r + 2*r, 0 = -3*q - 2*r + 31. Suppose 2*g = 7*g. Suppose -2*l - 10 = -4*u, q = -g*u + u - 5*l. Solve -u*a = a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t - 0*t - 39. Let f be (5*1\/t)\/(1\/3). Solve f*m - 6 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65934*i + 131883*i - 65931*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -33, -34, -35, -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 228a + -74283?\nAnswer: -71aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 1749, 18.7, -2\/5, 3\/7?\nAnswer: 1749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 9 + -10 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:45 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*k = -1104*k + 573*k - 700 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 5*k = -10*b - 27830, 5*k = 2*b - 11120. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 7, -4*k - 77*h = -82*h - 63. Let w(o) = o**3 - 7*o**2 - 6*o. Calculate w(k).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7)**(9\/5) assuming n is positive.\nAnswer: n**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttatta. Give prob of sequence att.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2233 and 1232.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -276428 divided by -29\nAnswer: 9532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6136 (base 7) to base 12.\nAnswer: -129a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/322 - (0 + 1\/(-7)). What is the biggest value in o, 0, -7, -3\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 58 = k, 3*f = -2*f - 5*k - 90. Let p = f + 8. Let l = -6 - p. Solve -l*d = -d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*x + 9, 0*x = -4*y - 3*x + 27. Let k(v) = v**2 + 3. Let p be k(0). Solve -5*b - 10 = -3*r, p*b + y = -2*r - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = 9*b, -2*f = -3*b - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 2. Let r be w(-4). Suppose -4*y - 6 = -r. Suppose -y*g - 8 = -4*c + 44, g = 3*c - 45. Solve -3*f = -4*p + 4, 3*p - 4 = -2*f + c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68421.05 - -68421. Let k = 0.04 - -1.96. Which is the third biggest value? (a) d (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9\/11 (b) -1\/6 (c) -3 (d) 5 (e) 7.66\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m + 3254*m**2 - 10192*m**2 - 18*m.\nAnswer: -6938*m**2 + 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a - 3*a)*(4*a - 2*a + 0*a) + 11194 - 11187 - 3*a**2 - 30*a + 14*a.\nAnswer: a**2 - 16*a + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-33))\/(60\/495*9). Let l(q) be the third derivative of 1\/6*q**3 + 0*q - y*q**4 + 1\/120*q**6 - 12*q**2 + 0 + 1\/15*q**5. Calculate l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01593 greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 19 + (-3 - 0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8375 and 335?\nAnswer: 8375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/8064 and 46\/40509.\nAnswer: 5185152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 18*q**2 - 2393*q - 40971. Determine d(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from ttxtaxlthxtg?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32496 + 593?\nAnswer: -31903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*s + 66. Suppose 0 = 2*w + 5*d - 197, -4*w + s*d = 2*d - 324. What is the greatest common divisor of 215 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x**2*x**(1\/7)\/x**6)\/(x**5\/(x\/x**(-3\/2)*x))**(-1\/20) assuming x is positive.\nAnswer: x**(-2179\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.8 * 13\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.122 (c) -3\/4 (d) -4 (e) -560\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 796150460 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -17*y**6\/240 - 4*y**5\/15 + 55*y**4\/48 - y**3\/2 - 6615*y**2. Factor c(m).\nAnswer: -(m - 1)*(m + 3)*(17*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(1 + sqrt(243)) - sqrt(243)) - (sqrt(3) + (-4*sqrt(108) - sqrt(108)) + (sqrt(192) - sqrt(3))*1).\nAnswer: -50*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {u: 4, v: 3, d: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 7?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2560078 + 1?\nAnswer: 2560079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 10. Suppose 0*f - 2*f = u*t - 7, 5*f = -t + 11. Let h(k) = 4*k + 1. Give h(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5 = 0, -175*z + 15 = -5*w - 178*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c. Which is smaller: 3\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -363. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2535*s - 6829*s - 2317*s.\nAnswer: -11681*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678659 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14848205 and 935320?\nAnswer: 118785640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 54. Let i be -20 - 5\/((-5)\/2). Let j = i - g. What is the greatest common factor of 187 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 3, 220, 0, 2, 1 in increasing order.\nAnswer: -1, 0, 1, 2, 3, 5, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 + 446. Calculate the remainder when m is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3, -p = 3*p - 2*w - 30. Calculate the highest common factor of 78 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406830.\nAnswer: 2, 3, 5, 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -92*u**2 + u - 3. Let v(z) = -94*z**2 + 2*z - 4. Determine -4*t(k) + 3*v(k).\nAnswer: 86*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from pspcsspcspcppcspppp.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1054 and -320.873.\nAnswer: -1374.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 403, 2\/3, -26, -2, -5, -0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2. Let w(x) = 3157*x - 5. Let j(d) = 140489*d - 222. Let v(u) = -5*j(u) + 222*w(u). Determine v(y(s)).\nAnswer: 4773*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13084, -13087, -13090, -13093, -13096?\nAnswer: -13099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242.1 - -198. Let s = w + 44. Which is smaller: s or 2.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 9 = -4*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 114*h**2 + 244*h**2 + 14*h - 121*h**2.\nAnswer: 9*h**2 + 14*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11263794 is divided by 452.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 + 82*q**2 - 82*q**2.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-2))\/3*(-20)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + (-3)\/(54\/(-24546)). Let k = -65587\/48 + p. Find the common denominator of ((-2)\/11)\/((-16)\/(-156)) and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*a - 3378 = 722, 2*a - 8212 = -2*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10536, 84148, 283962, 673080, 1314604, 2271636, 3607278, 5384632?\n\"Answer: 10517*c**3 - c**2 - 4*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -52, -107, -216, -397?\n\"Answer: -3*s**3 + 2*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 11688853 - 248*w**2 - 11688852 + 23*w**2 - 4*w**3 - 3*w to the form h*w**3 + a*w**2 + z + f*w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*r + 26, 4*r + 6 = 5*r - 5*q. Let j be (-1)\/(-1)*-1*1. Find the common denominator of (r\/32)\/(j\/(-19)) and 123\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4)*z**4)\/((z*z\/(z*z**(2\/3)*z))\/z*z*(z\/((z**(2\/7)*z)\/z*z))\/z) assuming z is positive.\nAnswer: z**(230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001192 rounded to 5 dps?\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 738442*c**3 + 9823478*c**2 wrt c.\nAnswer: 4430652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116 and 3?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-153)*3\/12*6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -1. Let v be (0 - 2)*o\/(-2). Let j = v + 7. Solve 0 = -j*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6061 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*p - 32, -5*p = -4*u - 281 + 69. Is -47 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7277, 28928, 64673, 114236, 177341?\nAnswer: 253712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 2*o**3\/3 - 82*o. Let j(z) = 14*z**2. What is j(n(f))?\nAnswer: 224*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**3 + a**3 + 126*a**2 - 2 + 3.\nAnswer: 52*a**3 + 126*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/15*9000\/28750?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n**(4\/3))\/(n*n**7\/n*n*n\/(n*n*n**6)) assuming n is positive.\nAnswer: n**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 457573928831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z + 0*z**6 - 1\/12*z**5 + 0*z**3 + 0 + 0*z**4 - 10*z**2 - 1\/210*z**7. Find the third derivative of v(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/749 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 4 + 4 + (1 - 3 + 3)*(-2*r - r + 4*r) + 1 - 1 + 2*r - 42*r - 59*r + 169*r.\nAnswer: 69*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 2700, 5988, 10600, 16542, 23820, 32440, 42408?\nAnswer: 53730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 40 + 16. Let a(u) = 2*u + 28. Let l be a(d). Solve -l*f + 7 = -13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.91 * -18.\nAnswer: 106.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 887, 919, 973, 1055, 1171, 1327?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 2:42 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2\/9 + 100*t\/3 + 1250 = 0.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 + 31359*m - 33912900 = 0 for m.\nAnswer: 1225, 9228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77944 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1314.8 + -1313.8453. Round x to 2 dps.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -c + 9. Suppose 0 = -h + c*h - 14. Suppose -263 + 717 = h*b. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32599179.\nAnswer: 3, 134153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 31 + 15*n to u*n + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.0517.\nAnswer: -0.1034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 106 + 84 = 0. What is the closest to j in -4, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3806948 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.67 + -0.03. Let r = 4.0754 + -3.411. Let l = r - k. Round l to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = 2. What is the remainder when (4\/6)\/(n\/111) is divided by 3\/(-2)*(-104)\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4\/7*u**3 + 2\/7*u**2 - 10\/7*u + 4\/7 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 1\/2, 0.3, 1728\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 9*v + 17. Let h be d(7). Let i be (1\/h - 0) + 94\/6. Find the third derivative of 9*g**6 - 8*g**3 + i*g**3 - 8*g**3 - 16*g**2 wrt g.\nAnswer: 1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 + 3 = 2*a, 4*y + 6 = 5*a. Solve a*b = -2*b + 5*d - 12, b - 18 = -4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(320) - -6*(sqrt(320) + -3))**2.\nAnswer: -1792*sqrt(5) + 15936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2283 and -68?\nAnswer: -155244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**2. Let j(k) = -16*k + 8*k + 7*k. What is j(f(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41014856*f**2 - 13762199*f wrt f?\nAnswer: 82029712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -6781040 and -10273163.\nAnswer: -17054203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86, -3423, -6760, -10097, -13434?\n\"Answer: -3337*h + 3251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/11 - (-741)\/143. Suppose -r*u = -2*u - 1275. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*v**3 + 2 - 59*v**3 + 184*v - 1 + 111*v**3 to the form s*v**3 + c*v**2 + y*v + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2814 + 2630. What are the prime factors of n?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191.8 - -220. Let p = h + -28. Let x = p - 4.2. What is the second smallest value in x, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*q = 2*i - 45, 15*i + 3*q - 3 = 93 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 + -247. Which is smaller: -19 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*(9 - -3). Suppose -n + g = -4. Suppose -4*o + n = o. What is the closest to 0 in -3, o, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*d + 31 = 0, -7436*w + 7438*w = 3*d + 30. Let r = 38\/5 - 332\/45. Factor -r*y**w + 16\/9 + 4\/3*y**2 - 8\/3*y.\nAnswer: -2*(y - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + k + 15 = 19, 4*f = -5*k + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -707112 (base 10) to base 8.\nAnswer: -2545050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 1. Let j(n) = -n**2 + 16*n - 83. Let l(q) = -j(q) + 2*u(q). Let r be l(7). Calculate the greatest common divisor of 44 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/39, -0.4, 1\/5, 1.9, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j + 101 - 69. Which is the biggest value? (a) j (b) 4 (c) 0.1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 16) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4688408\nAnswer: 5\/4688408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.548+-410\nAnswer: -409.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2972*p**2 - 3951*p**2 - 2802*p**2 + (-1 + 1 - 2*p)*(-3*p - p + 6*p) to c + g*p + t*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -85, 2\/3, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 0*g + 4*g + 5. Let t be o(3). Find the first derivative of 4 + 2*w - 5 + t wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 75. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3800 and 875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -19 + 31 - -28) + 28.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30, 17, -14, -69, -154, -275, -438?\n\"Answer: -d**3 - 3*d**2 + 3*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4615 and 2642549.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 9\/3 + 4. Suppose 11 = 4*o - c. What is the smallest common multiple of o and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose -j + 75 = -42. Suppose k*n + 9 - j = 0. Solve -5*l = 4*z - n, z + 3*z - 18 = -2*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/2 and -0.1749 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81467341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 22*t + 34*t + 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 32*f**3 - 388*f**2 + 29*f + 144. What is b(12)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:30 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 2*p + 0*p**2 + 1\/3*p**3 - 1\/5*p**5 + 0*p**4 + 0*p**6 + 1\/21*p**7 + 0. Determine c, given that t(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 29. Let p be y(18). Calculate the highest common divisor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3854)\/(-22) + (-6)\/33. Suppose 0 = -w + 6*w + q. Let k be (-2)\/(-8) - w\/(-364). Is 1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1399 + -31?\nAnswer: -141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(-1 + -2*sqrt(11) + -3))**2.\nAnswer: 480*sqrt(11) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 - 51*r + 52 = 0?\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/165 and -181\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 - 5835.\nAnswer: -5838.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 87 + 7. Let i be (-16)\/b - 8\/(-5). Suppose 0*s = s - 4*o - 51, o = i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.23 - -7.91. Round j to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyl when three letters picked without replacement from {r: 8, l: 2, t: 5, y: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 - (-1 - (-8 + -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24296 or 24297?\nAnswer: 24297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 7) in base 3?\nAnswer: 12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.138918*-5.\nAnswer: -0.69459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 32. Let y be z(-16). Put y, -2, -3 in ascending order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)\/((-2)\/5). Let t(m) = 2*m**2 + 10*m + 5. What is the smallest common multiple of t(n) and 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 + -27. Suppose -q - 3*g + 21 = 2*g, 27 = 5*q - g. Suppose -q*v = x - 211. Calculate the lowest common multiple of v and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 103*h - 70. What is b(0)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/8)\/((4 + 3)\/(-14))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -443 - -577. Is 134 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642008.\nAnswer: 2, 80251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1072 + 1074. Which is the nearest to 1\/4? (a) t (b) 0.5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 10*l**2 + 7*l - 5. Let o = -8 - 5. Let u = 18 + o. Is k(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/20)\/(7\/315). What is the hundreds digit of 81776\/k + (2\/(-9))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -4 (c) 0.5 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4507000 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - (4 + -2))*-6. Let n be 60\/(-18)*w\/15. Let l(u) = u**3 - 9*u**2 + 13*u - 18. What is the least common multiple of 10 and l(n)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 3. Suppose t*x - 5*x = 0. Suppose 9*a - 12*a + 18 = x. Solve 0 = a*y - 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 4*g**2 + 1 + 4*g**2 + 10*g - 11 + g**3. Give f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3 - 23*u**2 + 37*u**2 - 2*u**3 + 10*u - 33*u**2. Let c be a(-10). Calculate the common denominator of 7\/(147\/150) + 1 + c and 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**6 + 19*l**4\/12 + l**3\/3 - 9*l. What is the third derivative of z(p) wrt p?\nAnswer: -720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47238, 46551, 45406, 43803, 41742?\nAnswer: 39223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(60))\/sqrt(12) + -3)*-2 + 5.\nAnswer: -18*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -0.94, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12132 - -10?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 2012331?\nAnswer: -2012322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Suppose 4*p = -w*t + 88, -2*t - 3*t = 4*p - 92. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 * 627\nAnswer: 35.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 102, 145, 182, 213, 238?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r, 2*r + r + 241 = q. List the prime factors of q.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 1539*z + 0*z**3 + 1539*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 17 = 3*a, 5*u + 109 = -3*a + 6*a. What are the prime factors of (381\/2)\/(u\/(-92))?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 13, 93, 235, 445, 729, 1093, 1543?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.57722ug to nanograms.\nAnswer: 55577.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 471*p\/4 + 2305\/2.\nAnswer: (p - 461)*(p - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4))**(-10) assuming a is positive.\nAnswer: a**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2305201 (base 7) to base 13\nAnswer: a0b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*t**5 - 2632*t**4 + 10*t**3 + 5070972*t**2 wrt t.\nAnswer: 300*t**2 - 63168*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21115 = -2*u + 19077. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 4. Let i(w) = -1. Let d be (1 + (3 - 3))*1. Let o(g) = d*l(g) - 4*i(g). Let t(q) = -4*q. Determine o(t(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 11*u - 11*u + u**4 + 0*u**4 + u**4 + (-4 + 2 + 4)*(0*u**4 + u**4 + 0*u**4).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {r: 3, a: 1, n: 1, f: 2, i: 3, b: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-27 + 12) - -1 - -8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*o + 8, -o - 3*j = -4*o - 6. Let t(l) = 2*l**2 + 8*l + 8. Let i be t(-4). What is the greatest common divisor of i and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65615 is divided by 178.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-552))\/(694\/(-696) + 1). Let k = l + 25381\/3358. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 16*o + 23. Let d be x(-11). Let w = -32 - d. Put 3, w, 4 in descending order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40, -54, -52, -28, 24, 110, 236, 408?\n\"Answer: k**3 + 2*k**2 - 27*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u - 15. Let z be j(7). Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbtt. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 2:07 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.02, -8 in increasing order.\nAnswer: -8, -0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9*r - 8 = -35, 2*i - 105 = r. Solve -2 = -56*p + i*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1.21, 5, -5 in decreasing order.\nAnswer: 5, 1.21, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*k**3 - 772*k**3 + 143*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10027 + 10026.98. Suppose -2*m + 1 = 7. Sort 0.06, m, y in decreasing order.\nAnswer: 0.06, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 5*q**3\/3 + q**2 - 7*q. Let m be f(3). Calculate the highest common divisor of 96 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 8*r + 12. Let t be d(-8). Calculate the common denominator of 2\/(-9)*((-11)\/t - -2) and -38\/33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.6 - 16.84. Let l = v - -0.34. Let o = -6\/17 - -47\/85. Which is the closest to l? (a) -5 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.25115 centuries in decades?\nAnswer: 52.5115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x + 30*x - 4*x + 400 - 400. Let r(z) = -z**2 - 4. Calculate r(i(n)).\nAnswer: -1369*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, a: 3}. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*g**3*n**2 + g**3 + 805*g**2 - 10047*g*n**3 - g wrt n.\nAnswer: -6*g**3*n - 30141*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*k + 188 = -34*k - 322 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:54 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 22, -63, -4786, 2.\nAnswer: -4786, -63, -3, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*g = 88*g - 4618. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - (-312)\/18. Let b = -15 + a. Suppose 0*i - 2*i = -5*q + 33, -q = -5*i - b. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 - 2 - -1. What are the prime factors of 6\/(3 + (o - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -2*r + 6*r + v, 0 = 4*r - 5*v - 152. Suppose 0*g + g - r = 0. What is the greatest common divisor of 22 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-13))\/((-14)\/1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.5, -0.3, 1.6, -12\/227, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let p(t) = -2 + 3*t + 22*t + 0*t + 4. Determine 6*l(a) + p(a).\nAnswer: 19*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**3 + 14754406*v**2 + 2*v - 455854.\nAnswer: 3*v**2 + 29508812*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/8 and 31\/3259648?\nAnswer: 3259648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59126\/270165 - 24\/2573. Find the common denominator of n and 16\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1674697.\nAnswer: 8\/1674697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2297 + -2296.988. Which is bigger: l or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14746602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 475 + -490. Suppose 4*x + u = 2*u - 62, -58 = 3*x + 5*u. Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312962?\nAnswer: 2, 13, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 439 - 434. Which is the closest to 2\/77? (a) 3 (b) f (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135 - 1) + (-6 - (-32 + 12 + 13)).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l - 12. What is the units digit of (1 - 0)\/((-6)\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (-1 + sqrt(1700))*6)*-3 + 5 + -3.\nAnswer: -180*sqrt(17) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2524564 (base 7) to base 2.\nAnswer: -1001111100010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/12*(1 - (-86)\/(-174)). Let s = 6\/29 + i. Which is the closest to 0? (a) -5 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906256 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730 = -152*w + 225*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11265*q**3 - 10879*q**3 - 31*q**2 + 31*q**2.\nAnswer: 386*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 72203 - 11778*d - 72203 + 2349*d as a*d + l and give a.\nAnswer: -9429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q**2 + 23*q**3 + 88*q**3 - 14*q**2 - q**2.\nAnswer: 111*q**3 - 61*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 9260?\nAnswer: -925a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = c + 2, 28 = 4*c - 53*w + 59*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/20*-5 + 1573\/4 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0 (c) -13\/55 (d) -22 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2998?\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 55147 divided by 12\nAnswer: 55147\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -574 plus -171?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from rhhrhhrrrr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/1815 and 43\/195.\nAnswer: 23595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from soosssusoosos?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65\/23 + -3963\/92. Let v = 40 + h. Let x(a) = a + 9. Let j be x(-10). Is j > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2\/3*o**3 - 1\/3*o**4 + 0*o + 0*o**2 - 1\/15*o**5 - 1\/180*o**6 - 3. Let k(v) be the third derivative of z(v). Factor k(u).\nAnswer: -2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6880008 divided by 6?\nAnswer: 1146668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u + 0*u**2 + 1\/3*u**3 + 50. Let n(l) = 62*l - 2. Determine n(h(x)).\nAnswer: 62*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72))**2 + -4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9 + -6704?\nAnswer: -6629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 23*s + 7. Calculate k(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2237124 years?\nAnswer: 2.6845488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 301, 282?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(2\/7)*g**(2\/3)*(g**(2\/3))**(-21)*(g**(2\/5)*g\/g**1*g)\/(g\/((g*g**(-1))\/g*g))**36 assuming g is positive.\nAnswer: g**(-4958\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqkkfbrf. Give prob of picking 1 r and 2 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4517766 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {l: 5, g: 4, w: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 221, 485, 855, 1331, 1913?\n\"Answer: 53*r**2 - r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*d - 10644, -4*t - 6817 = -2*d - 1509. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmb when three letters picked without replacement from {m: 6, b: 1, q: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5 - b?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 62*d**2 - 165*d + 717. List the prime factors of j(68).\nAnswer: 3, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -441 (b) -44 (c) 1\/7 (d) 0.2 (e) 3\/5 (f) -1 (g) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 1 + 1.\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*h - 38, -3*d - 3*h = -2*d - 22. Solve -18 = -2*m + 5*n - n, -d = 4*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 24. What is the remainder when 105 is divided by a(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cchh when four letters picked without replacement from ckhckchkkkkkkhkh.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**6\/12 - 3*h**5\/10 + 3*h**4\/8 - h**3\/6 - 4. Solve j(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 243258.79 and -0.2.\nAnswer: -48651.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (187 + 4*q - 352 - 4*q**3 + 179)*(-8 - 9*q + 8) to y*q**3 + d*q**4 + w + h*q + s*q**2 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 404\/(-20) - (-8)\/40. Let b(f) = -f**3 - 19*f**2 + 13*f + 40. What is the tens digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 109*q**3 + 106*q**2 - 1261*q + 25. Is y(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 10*z**2 + z - 12. Let o(y) = -6*y**2 + 0*y**2 + 10 + 7*y**2. Let q be o(0). Give f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -134, 5, 393, 15, 0, -3 in ascending order.\nAnswer: -134, -5, -3, 0, 5, 15, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9956 + -9952. Are 1247 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*h**2*j*t**2 - h**2*j*t + 26*h**2*t + 2982*h*j**2*t**2 + 1923*h*j**2*t + h wrt t?\nAnswer: 566*h**2*j + 5964*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (((sqrt(112) - ((sqrt(112) + 2 - sqrt(112)) + 2))*2)**2 - (-5 + 3*((2 + sqrt(112))**2 - sqrt(112)))) + -4.\nAnswer: -164*sqrt(7) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2. Let c(h) = -62*h**2 + 14*h - 9. Let q(x) = -31*x**2 + 8*x - 5. Let u(k) = 4*c(k) - 7*q(k). What is u(d(s))?\nAnswer: -496*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2258)\/(-7903) - (0 - 131050\/14)?\nAnswer: 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -21*h**2 - 22. Let w(u) = -18*u**2 + u - 26. Determine -3*t(j) + 2*w(j).\nAnswer: 27*j**2 + 2*j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -3027?\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5278 + s**2 + 5279 + 2*s**4 - 50*s**3 + 0*s**2 as w*s + v + x*s**3 + o*s**4 + p*s**2 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 329716925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1140180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -56*p - 9\/8*p**3 + 13\/8*p**2 - 1\/80*p**5 + 0 + 5\/16*p**4. Determine n, given that y(n) = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1037, 28, -1 in decreasing order.\nAnswer: 28, -1, -5, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*c**5 - 10713*c**4 + 37*c**3 - 272757193*c wrt c?\nAnswer: 380*c**3 - 128556*c**2 + 222*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4497? (a) 3 (b) -2\/5 (c) -1.675\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -37*a**2 + 68*a. Determine s(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -13 - 7. Suppose 3*k - 4*t + 15 = 0, t - o*t = 0. Sort 16, -9, k in descending order.\nAnswer: 16, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 810 divided by 5\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6290861.\nAnswer: 31, 202931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q)*(-115 + 11*q + 115)*(-4*q**2 + q - q + (4*q - q - 5*q)*(-q + 0 + 0) + 0 + q**2 + 0).\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 - 421.5. Which is the closest to -2.35? (a) d (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 16, 55, 130, 253, 436, 691?\n\"Answer: 2*f**3 + f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77749 and 8729.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 11 + 0)*(1 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - 4*r, 3*x - 14 = -3*r - 2*r. Let i = x + 1. Solve -6*l - i = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 51580?\nAnswer: 825280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73893844 by 18473461.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 264035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -34821, 155, 2 in decreasing order.\nAnswer: 155, 2, -34821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 14*o + 4. Calculate r(-7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2967394 millennia to years.\nAnswer: 296.7394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x - 113*x = -20606 - 5714 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 2}. What is prob of sequence yuy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -56961*w + 170869. What is g(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 2}. What is prob of sequence qqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.4, 0.1, 259, -0.5, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 10886429.\nAnswer: 10886429.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84292012.\nAnswer: 2, 7, 1559, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 2. Let p be q(-4). What is the closest to -3 in 2, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 + -66. What is the greatest common factor of o and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 50. What is the remainder when 42 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(550)*1 + sqrt(22)))\/(sqrt(11) - sqrt(33)\/(sqrt(9)\/sqrt(3)) - (sqrt(132)\/sqrt(3) + sqrt(11)))*3.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 126*h**2 - 4749*h - 245. Determine t(66).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*p - d, 102 = 3*p + 2*d + d. Suppose -k - n = 14, -n - p = 2*k - 2*n. Let r = k + 42. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0652794 - -0.0652. What is f rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321676564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 1. Let v be f(4). Suppose 2 = v*b - 7. Factor -5*r**2 + 1 + b*r**2 + 1.\nAnswer: -2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:03 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -732*m**2. Let h(u) = 2*u. Give b(h(t)).\nAnswer: -2928*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + (-704)\/(-36))\/(-54 - -46 - (-23)\/3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 474\/(-360) - 4\/(-10) - 2\/(-3). Which is the second biggest value? (a) -0.08 (b) 2\/3 (c) -0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -650, 2, 6, -4, 0, 5 in ascending order.\nAnswer: -650, -4, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 27*p - 22 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-444)\/16 - (-5)\/(-20). Let p(u) = -u**3 - 27*u**2 + 26*u + 8. Calculate the remainder when p(w) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -204 - -206. Sort 1, l, 3, -2.\nAnswer: -2, 1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6952*j + 17732*j - 10870*j.\nAnswer: -90*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 8 + -8 - 2 - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l, m + 3*l = 1 + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 3*m**4 - m**3 - 3*m**2 + 2*m.\nAnswer: -m*(m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -226239, -453484, -680729, -907974?\n\"Answer: -227245*h + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {m: 2, f: 3, r: 3, q: 3, d: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16183*b + 1213738. Give v(75).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6 - 1041\/910. Let v = -4\/91 - b. Suppose 0 = -8*d + 3*d. Sort -4, v, d.\nAnswer: -4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 2 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4026*l**3 + 8195*l**3 - 4159*l**3 + 10 + l + 2*l**4 in the form t*l**3 + c*l**4 + i*l + y + s*l**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2400905g to tonnes.\nAnswer: 0.0000002400905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5645 - 5?\nAnswer: -5652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -999*p**2 - 22*p + 16. Let v(i) = -333*i**2 - 8*i + 6. Give -3*a(x) + 8*v(x).\nAnswer: 333*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose d*h + 1 = -17. Let p = -2 - h. Solve 0 = p*t - 3 - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1969.\nAnswer: 11814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 1\/4*p**4 + p**3 - 3*p**2 - 4 - 6*p. Let f be y(-4). Solve 0*r + 3*r - 7 = 4*m, 24 = f*m + 4*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l - 14. Let o be p(4). What is the highest common factor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in 1\/6, 0.24, 1, 2, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 1, o: 1, g: 6, b: 1}. What is prob of sequence gha?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -75, -142, -243, -390, -595, -870?\n\"Answer: -2*m**3 + m**2 - 34*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -35*s + 37*s. Solve -5 = -g, s*g + 1 + 0 = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4 + 21*u**3 + 6273*u**2 - 211837*u + 1768680 = 0.\nAnswer: -85, 17, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -562 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 316 = 232 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3716 + -0.0716. Sort n, -156, 2 in descending order.\nAnswer: 2, n, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 14 = -29. Let c be 4 + -1 - (6 - k). Let -3 - w**2 - 8*w + 4*w**c + 15 + 20*w = 0. Calculate w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1742? (a) -0.4 (b) 115 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**4\/24 - z**2 - 54. Let o be (1 + -1)\/(-2) - -11. Let k(v) = v - 12. Let l be k(o). Give n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4440, 15987, 35240, 62205, 96888?\n\"Answer: b**3 + 3847*b**2 - b + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.72198066 - -0.722. Round n to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-4) + -14*12\/(-42).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 219197*k**3 - 219195*k**3 + k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065*l**5 + 80905*l**4 + 1363735*l**3 - 6605305*l**2 + 5327600*l - 168000 = 0. Calculate l.\nAnswer: -40, 7\/213, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*v**2*y + 2*g*y + 56*v**2*y - 6*v*y + 1 wrt v.\nAnswer: 2*g*y + 112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -84738.\nAnswer: -84733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 858\/5 + -171. Let k be 3\/(-6)*0\/7. Solve 0*j + k - 3\/5*j**2 + z*j**4 + 0*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of ((-21)\/(-8)*2)\/((-24)\/(-128))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*t - 50*t - 52*t - 4 - 4 to the form v + m*t and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 206.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 36159?\nAnswer: -36166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2794 + 2802. Suppose -4*n = -2*b + 56, -2*b + 0*n = 2*n - 32. Calculate the greatest common divisor of x and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -17 - (-4 - -1) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17861 or -6703?\nAnswer: 17861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(1\/9). Suppose 3*a = -0*a + 15. Let p = a - d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18997 - -33263757\/1751. Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307067?\nAnswer: 3, 19, 23, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - 68*z**2 + 141*z + 7. Determine x(15).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20461310 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4708588 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -30. Let j(w) = -w**3 - w + 685. Is j(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1050837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -34. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 57. Suppose -15*u + 45*u = 510. Let h = u - m. Solve h = -g + 5*v - 12 - 6, 5*g = 4*v - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 13. Let j be 2\/1 + (-26)\/d. Let i(s) = s**3 + 49*s**2 - 209*s + 163. Let g be i(-53). Solve -g*w + j = 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -v - 2*x, 3*v - 4*x - 28 = 0. Let s(w) = 8 - v - 28*w. Let p(t) = t + 6. Let y(z) = -z - 12. Let l(q) = 2*p(q) + y(q). Give l(s(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 98. What is the second derivative of -20*r**2 - 24*r**2 - 3*r**2 - 5*r**2 + u*r wrt r?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/868 and 13\/901263.\nAnswer: 25235364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 4. Let r be t(5). Let d = -52 + r. Round d to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 5*m - 19. Give z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 9)\/(-108)*(2 + 2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*3*sqrt(7))**2 - sqrt(7) - sqrt(7)) + -5.\nAnswer: -2*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvcvjchjjvjvtvccctv. Give prob of sequence ch.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000111100 + 101001?\nAnswer: -1001000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/198*12\/2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Let d be 8\/m - 14\/21. Solve 2 = -d*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 + 555*o**4 + 4210*o**3 + 9270*o**2 - 135*o - 13905 = 0. What is o?\nAnswer: -103, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9853 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/51, 9, -0.5 in decreasing order.\nAnswer: 9, 2\/51, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108707755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 488580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 205 - 230. Let a(q) = q**3 + 6*q**2 + 5*q - 2. Let g be a(d). Calculate the least common multiple of 22 and (46\/(-5) + g)*(1 - 6).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 2 - 14*m**2 + 1 + 82*m**2 - 3.\nAnswer: 68*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.9 + -128045.\nAnswer: -128064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1731 = 2*l, 3*q - l = 4*q - 578. Suppose 3*s - q = 499. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-570)\/(-50) + -6 - 10 - (5 + -16)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -0.029577609?\nAnswer: 6.029577609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 30*y - 3. Let j be c(-1). Let z = j - -97. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = m + 17, m + 15 = -5*l + 6*m. Let h(k) = 2*k**3 + 4*k + 3. Let z be h(l). What are the prime factors of 6\/(-15) + z\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 0.3. Let t = 28.78 - 32.78. Sort d, t, -3\/5 in descending order.\nAnswer: d, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = 111 + 64 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeooeoooooeoeeoee. Give prob of sequence oeo.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -4194349307.\nAnswer: -4194349306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 960, 2203, 3946, 6189, 8932?\nAnswer: 12175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3984*m - 31013 = -2471*m + 2822*m + 29677 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2548691 to the power of 1\/2, to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtririityriiitfi. Give prob of sequence fyr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292647150 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 17, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*c + 20 = -161*c. Calculate the remainder when 77 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*l + 2, 4*l + 3*s = 61 - 79. Sort l, 149, -2.\nAnswer: l, -2, 149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -84 + 15. What is the first derivative of -22*a - 43 - 21*a + y wrt a?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(390)\/(2*sqrt(10)))\/(((sqrt(168)*2)\/sqrt(8))\/sqrt(7)).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/180 and -73\/9630?\nAnswer: 19260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*s**2 - 10*s**2 - 21*s**2.\nAnswer: -160*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from binfddbnnfnniinbd.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 6. Let n be r(0). Let i(c) be the third derivative of 1\/40*c**n + 0*c**3 - 1\/60*c**5 + 0*c**4 + 0*c + 2\/105*c**7 + 0 - c**2. Factor i(s).\nAnswer: s**2*(s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3763988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 w when four letters picked without replacement from vqqdvawrvvqqqdrdvr?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + q + 6)*(-1 + 6 - 2)*(4 - 4 - 9) to c*q + u and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 10. Let c(u) = -7*u - 10. Determine -5*c(v) + 4*l(v).\nAnswer: 3*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}