diff --git "a/data/dm_maths/full_data/188_11255.jsonl" "b/data/dm_maths/full_data/188_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/188_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round 0.0000064109 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -11. Let m = -52.2 - -52.5. What is the nearest to 2 in m, a, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82185025 or -1068405318\/13?\nAnswer: -82185025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968 and 13684.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111211 (base 3) to base 13\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2867489, -2867278, -2867067, -2866856, -2866645, -2866434?\n\"Answer: 211*o - 2867700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 1054.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-12) + 8\/(64\/(-154788)). Round c to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10281*q. Let s(l) = 2*l**2. What is s(i(z))?\nAnswer: 211397922*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56406260 to the nearest integer?\nAnswer: 7510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273387\/107 + 2555. Let c = i + -101\/321. Is 1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/560 - h**6\/100 + h**4\/40 - 10*h**2. Factor s(g).\nAnswer: 3*g*(g - 1)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 4*g - 3. Let u = -3 + 1. Let p be s(u). Which is bigger: -8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(3584) + sqrt(3584))\/(sqrt(24)\/(-2*sqrt(3)) + 1*(sqrt(8) - sqrt(8)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 4}. What is prob of picking 2 b?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3175*t + 63522. Calculate m(20).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3027 + 668. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2 - 187*h + 8. Let m(j) = -6*j**2 - 125*j + 5. Calculate -5*c(x) + 8*m(x).\nAnswer: -3*x**2 - 65*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 137 = -4*d + 406, 3*c = -d + 160. Suppose 0 = -5*a - t - 15, 5*t - t = 4*a + 12. Put a, 0, c, 4 in ascending order.\nAnswer: a, 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4620, 4696, 4852, 5118, 5524, 6100, 6876, 7882?\n\"Answer: 5*w**3 + 10*w**2 + 11*w + 4594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -1.896, 4\/63?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94605)\/106)\/119*(-2)\/2*-6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:52 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939825 is divided by 28479?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 1972, 3082, 4190, 5296?\nAnswer: 6400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 + 7*i + 9. Let t(v) be the first derivative of -v**3\/3 + v**2 + 3*v - 1. Let o(y) = 2*f(y) - 7*t(y). What is o(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*n = -160, 5*q = q + 5*n + 101. Let g be q\/(-9) + 4\/18. Let h(w) = 2 - w**2 - 3*w + 0*w + 0. Determine h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -11636?\nAnswer: 11645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**2 - 6. Let l(y) = -y**2 - 1. Let a(i) = -21 - 5*i + i + 2 + 2*i. Let h be a(-9). What is h*d(s) + 6*l(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40133 + 523?\nAnswer: 40656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 5749?\nAnswer: 17\/5749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5 - 6*q - 2*q**2 + 6*q**2 - 2*q**2 - q**2. What is r(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 155 = 845. What is the remainder when m is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let j(p) = 5294532*p - 240884. Let a(n) = -1231*n + 56. Let g(b) = 8603*a(b) + 2*j(b). Determine g(m(r)).\nAnswer: -1229*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -73*f**2 + 2*f + 2. Let u(q) = -q. Determine d(u(h)).\nAnswer: -73*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28385, 114692, 258543, 459938, 718877, 1035360?\nAnswer: 1409387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let x = 2 + -9\/2. Let d = 14 + -9. Which is the nearest to u? (a) x (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 62. Let o be (-558)\/((-3)\/(-2)*-1). Is g\/10 - o\/(-30) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -575, -548, -503, -440, -359, -260?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -240580 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - 32\/(-80)*(-7 - (-483)\/14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -366*d**6*f + 2*d**5*f**2 - d**2*f**2 - 34*d**2 wrt d?\nAnswer: -43920*d**3*f + 120*d**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 6*f**2 - 10*f - 161. Determine u(-7).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 13. Let f be h(-9). What is the third biggest value in f, 1, 10\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 7. Let j be d(-5). Suppose 3*x = -3*m + 9, -j*x = x - 3. Suppose i - 7 = -0*i. Solve i*s = m*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -41, -5, 1 in descending order.\nAnswer: 1, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3048 and 906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*v = -189, -123*n + 120*n - v + 153 = 0. Solve 0 = n*l - 94*l + 205 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15352.64 minutes?\nAnswer: 921158400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210704 divided by 565.\nAnswer: -210704\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -726d2 (base 15) to base 5\nAnswer: -43101142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -1\/60*u**5 - 2\/3*u**3 + 0*u - 5\/12*u**4 + 34*u**2 + 0. Let g be p(-9). Solve -4*l = -g*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 137, -115, -449, -865, -1363, -1943?\nAnswer: -2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**5*p**3 - 1641*m**4*p**3 + 46438*m**2*p**3 wrt m?\nAnswer: 360*m**2*p**3 - 39384*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 613.87 + -607. Let j = m + 0.13. Let r = j - 2. Which is the smallest value? (a) r (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from xxaaxxxxxxxxxaxx.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25990128.\nAnswer: 2, 3, 101, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*a + 38. Suppose 232 + 12 = a*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -544 - 44*m**2 + 540 - m**3 - 41*m**2 as w*m**2 + s*m + p + z*m**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.275936 to 3 decimal places.\nAnswer: 0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (64 - (5 + -8))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*c - 80474 = -1813*c - 742*c - 665 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*u = -5*x - 29, 4*u + 4 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 29274a7?\nAnswer: 29274a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1282046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 4*g - 1. Let h(l) = l**2 + 8*l. Let k be h(-8). Suppose -w + 3*w - 6 = k. Is o(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**3 - 400*j**2 + 22*j - 2084. Give v(-67).\nAnswer: 5420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 2*c - 4 + 1, -3*w - 2*c = 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 5791808.\nAnswer: 17375424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 14*n**2 - n - 16. What is the units digit of i(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 + -156. Solve z = 4*z + v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514155 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.92 + 4.78. Let o = 6.07 + -0.07. Let y = o - d. What is the closest to -1 in -0.3, y, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*x + 90, 5*x = -5*w - 48 - 22. Is -1 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 133341264?\nAnswer: 133341263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11631*u + 7981*u - 13172*u.\nAnswer: -16822*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101561 is divided by 3877?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(6))\/sqrt(2).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 48*k + 290. Let c be z(-6). Let f(y) = 5*y**2 - 2*y - 2. Let g be f(2). What is the highest common divisor of c and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24130 + -22?\nAnswer: -24152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22969115 to the power of 1\/2, to the nearest integer?\nAnswer: 4793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582553633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - n + 42 = 0, 115*w - 3091 + 4111 = 5*n for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 14 - 6 - 8.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-6)\/(-27)*-3. Let u(y) = y**2 - 12*y + 20. Let c be u(2). Factor -2\/7*d + 0*d**s + 2\/7*d**3 + c.\nAnswer: 2*d*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**4\/4 - 4*y**3 - 9*y**2 - 41*y - 207. List the prime factors of k(-16).\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001217 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 15) to base 7.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2567, -2525, -2441, -2309, -2123, -1877?\n\"Answer: g**3 + 15*g**2 - 10*g - 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -69. Let h = -41 + o. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353133709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 3*f**2 + 9*f + 5. Let a be y(-6). Suppose -45 = -2*d + a. What is the greatest common divisor of d and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -7*z + 3*z. Let a be -5 + 8*(-3 + 4). What is the lowest common multiple of z and a - ((-12 - -5) + 0)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -85\/38, 5 in increasing order.\nAnswer: -85\/38, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -113338 to the nearest one thousand.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*q**6 + 57*q**2 wrt q?\nAnswer: 4320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337063.\nAnswer: 31, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/17507 - -34784\/2013305. Which is the nearest to 22? (a) -2 (b) t (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzl when three letters picked without replacement from kzzzlolzlzlzz?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11287191081 to 4 dps.\nAnswer: -0.1129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 19}. Give prob of picking 3 n.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnvvvnnnvnvvnnnv. What is prob of sequence vvvn?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6249.36 to the nearest ten.\nAnswer: -6250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(80)*-1 + -3)**2 + -2 - (-4*(-3 + 2 + 2*sqrt(80)))**2.\nAnswer: -5057 + 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 3 + 4\/(-2). What are the prime factors of (-55)\/(-5) + l\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 128. Suppose -5*v + o = -1579, -v + 2*o + 946 = d*v. What are the prime factors of v?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/420 and -25\/1187228?\nAnswer: 17808420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 155.5. Let g = -10 - -46. What is the third smallest value in -4, -0.2, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -995573.599996 - -995572. Let v = -1.6 - m. Round v to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.16590217 minus 27.9?\nAnswer: 118.26590217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 564443053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-1) - (-658)\/141)*1179?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 p when four letters picked without replacement from {d: 3, p: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 3\/9728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/53631 and 13\/9.\nAnswer: 53631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-33)\/(-22))\/((-178)\/36 + 5). Which is greater: -119 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 1483*a\/2 - 284082.\nAnswer: -(a - 2514)*(a - 452)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.997303ns in minutes?\nAnswer: 0.00000000034995505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4887*k**3 - 4895*k**3 - 18 + 18.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssnnsnnsrr. What is prob of picking 1 n and 2 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 230110147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 497180062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 50. What is the fourth biggest value in 2\/3, t, -8, 0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 1475*o + 7250.\nAnswer: 5*(o + 5)*(o + 290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 691934084 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a - 13*a + 8*a - 32*a.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423787268 by -1489.\nAnswer: 284612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4 - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -457, -879, -1271, -1633?\n\"Answer: 15*u**2 - 467*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13383 is divided by 194?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 76 = -24*n + 19*n, 3*y = -5*n + 64. Solve -5*z + 12 = -476*p + 480*p, -n = p - 3*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4732*u - 19103. Determine t(-4).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 94 + (-41 - -31 - 34)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 19. Let w(k) = -k + 19. Give 3*c(q) + 2*w(q).\nAnswer: q - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 18*b**2 - b**3 - 4*b**2 - 2*b**2 - 12. Let g(i) = i**3 - 8*i**2 + 74*i - 201. Let t be g(3). Calculate the remainder when 23 is divided by s(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3050519*n + 18303113. Calculate g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-6))\/f)\/f)\/f**(-3\/2)*f**(-1\/9)\/(f**2\/f) assuming f is positive.\nAnswer: f**(-119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747, 1547, 2403, 3315, 4283, 5307?\nAnswer: 6387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -16, -608 in ascending order.\nAnswer: -608, -16, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25628 and 5215?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*4\/(-48)*(1 + 3). Factor -8\/5*w**3 - 2\/5*w**4 + 0 - 4\/5*w - x*w**2.\nAnswer: -2*w*(w + 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10168, -40789, -91864, -163393?\nAnswer: -255376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2*2)\/(3\/21). Suppose d*f = 3*f + 388. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1098*m**3 + 6*m - m**2 + 943*m**3 - 2039*m**3 to u*m**3 + h + p*m**2 + t*m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 12381 - 73671 = -80*r. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1241465, -1242196, -1242927?\nAnswer: -1243658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-18)*x**(6\/19)*x)\/((x\/(x\/(x\/(x\/x**(-12\/13)))))\/x)**(-1\/5))**(-26) assuming x is positive.\nAnswer: x**(7938\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1692.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -o - 4*w + 1243, 4*o - 3*w = 5019. Calculate the remainder when o is divided by 414.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 25.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2174 - -2174.000927. What is b rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24546?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4526?\nAnswer: -4526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2190*o = 1789*o - 42105 for o.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9) + (-22)\/(-6). Let g be 1 - 2 - j*-6. Calculate the highest common divisor of g and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:16 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(sqrt(2) - (sqrt(2) + ((-1*sqrt(2)*-5)**2 - sqrt(2)))) - (-5 + sqrt(18) + 1)).\nAnswer: -242 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 235003400 (base 7) to base 10\nAnswer: 14589701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 1, -2 in increasing order.\nAnswer: -74, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/71 - 1054\/781. Let v be (6 + 2*-1)\/2. Find the common denominator of 574\/12 - v\/6 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(176) - (-1 + sqrt(176))**2) + sqrt(176).\nAnswer: -68*sqrt(11) + 1067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 3, s: 3, a: 9}. Give prob of picking 3 a and 1 k.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122201 + 2110021221?\nAnswer: 2102122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 8*s - 2*s**3 - 2*s**3 + 3*s**3 to the form x*s + z*s**2 + y + a*s**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 144.557?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -294419?\nAnswer: -294425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*n + 2381 = 9334 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13840 = -9*z - 2374. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -681 + -3?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64991?\nAnswer: 17, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (57\/(-15) - ((-708)\/60 + 12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2662878286 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 144*h**2 - 65*h - 9370. What is a(-144)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 + 42. Suppose 0 = -3*g - 3*w - n + 573, 0 = -g - 2*w + 124. What is the remainder when g is divided by 19*(-2)\/(-6)*3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + 2*v)*(-6 - 5 - 4) + (0*v + v + 0*v)*(3 + 2 - 4) + 28*v - 99*v + 31*v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-340)\/(-6) + (-2)\/(-6). Let m be ((-3)\/4)\/(20\/(-1040)). Let o = u - m. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 8 = -4*o + 5*o + 3*o + 10*v - 10 - 46, 17*v = 0 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -111626496 and 42.\nAnswer: -111626454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 191*n - 374*n + 194*n + (-n - n + n)*(-3 + 0 + 4) - 5*n + 3*n + n + 2*n - n - 3*n as x + c*n and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/170343085 and -119\/534270.\nAnswer: 1022058510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 11 = 0, -2*l = 2*s + 81 - 105 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1612 (b) -3\/10931 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008\/55 greater than or equal to -1\/434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8892 by 741.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:30 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.3, -1\/3, 0.7, 1\/24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1833785306 to the nearest integer?\nAnswer: 42823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 6, a: 1, p: 2, i: 9}. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-165)\/(-12))\/(-5) + 3. Which is the third biggest value? (a) -4 (b) u (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/8 + z**3\/2 + z**2 - 61. Let m = 30 + -23. Let r(f) = -f + 1. Calculate m*r(p) - 2*x(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**2\/2 - l - 3. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20921 less than 0.4?\nAnswer: 20921.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 482890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -62*o - 73. Let i(n) = -124*n - 167. Determine 3*i(z) - 7*j(z).\nAnswer: 62*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 m, and 1 j when four letters picked without replacement from {e: 1, a: 1, m: 4, j: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + h - 15 = 3*l, -3*l - 5*h = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 451650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 18*d**3 - 4*d**2 - 4*d. Let k(z) = -19*z**3 + 3*z**2 + 3*z. What is 3*c(x) + 4*k(x)?\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.019 + 26. Let l = -89751 + 89751.0189995. Let z = w + l. What is z rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 54\/62209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*y**2 - 411*y**2 - 367*y**2.\nAnswer: -1235*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 141*r**2 + 13*r + 42729. What is v(-143)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 4*o - 3*m - 41, -2*o - 70*m = -72*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 minus -2451027474.7?\nAnswer: 2451027478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 155*a + 2. Let s(z) = -311*z - 4. Calculate -4*s(o) - 7*u(o).\nAnswer: 159*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 10*s - 3. Suppose -5*r + 8*r = -27. Let z be j(r). Suppose z*w - 213 = 1113. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17300869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 15*p - 27. Let n be d(13). Calculate the common denominator of (-4823)\/390 + n\/(6\/(-4)) and 222\/(-32) - -1 - 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -1079\/7?\nAnswer: -1079\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 10*j**3 + 11*j**3 - j**2 + 0*j**2 to t*j**2 + d*j**4 + x*j + n + s*j**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 140. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3461, 3471, 3479, 3479, 3465, 3431, 3371?\n\"Answer: -i**3 + 5*i**2 + 2*i + 3455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 18*i**2 + 16*i - 18. Determine g(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(88)\/(1*sqrt(8)) + 3 + sqrt(99))*4.\nAnswer: 24 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16936425 - 16936514.35351. Let c = -88.804 - s. Let n = 0.55 - c. What is n rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*k - 39, -3*k - h + 6*h = 32. Let r be (15\/k)\/(2\/(-6)). Let u(p) = -3 - r + 1 + p + 3. What is u(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61202.17cm?\nAnswer: 612021700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4578331 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32171119 to the power of 1\/2, to the nearest integer?\nAnswer: 5672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, o: 9}. Give prob of picking 1 u and 3 o.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -28 + n**3 - 9\/2*n**2 + n. Calculate g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1 = -4. Let d = g + 9. Let o = -9 - -27. Calculate the least common multiple of d and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44935612.1 to the nearest 10000.\nAnswer: -44940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*n + 10 = 0, -12*n - 29 = -3*d - 16*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(1\/6). Let o be ((-3)\/(-5))\/((-1)\/(1105\/(-117) - -10)). What is the biggest value in w, -2, o, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(6\/3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7 (b) -0.32 (c) -4 (d) -0.3 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l - 12 = 0. Let f = l + 85. Determine w, given that f*w**2 - 2 + 8*w - 6 - 91*w**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 + -189. What is the nearest to j in 8, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 45.56. Let j = w + 3.104. Let d = j + -1.4. What is d rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*r - 4, -r + 5*p = -3*r - 19. Suppose 3*n + 5*w + 55 = 0, -2*n - w + 3*w - 10 = 0. List the prime factors of (-4)\/n*(r + 32).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1774*v - 12591. Determine x(6).\nAnswer: -1947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 112926, 112950, 112972, 112992, 113010?\n\"Answer: -k**2 + 27*k + 112900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5482 divided by 2?\nAnswer: -2741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/sqrt(10)*1*-5)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30976 or 30973?\nAnswer: 30976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/9 + 784*h\/3 + 76832 = 0.\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -8. Let t(i) = i + 10. Let c be t(-7). Suppose s = 2*x + 2*w, -w + 1 = -c*x + 20. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**4 - 4*i**3 - 21*i**2 - 2*i + 3. Let c(s) = -3*s**3 - 22*s**2 - 3*s + 4. Let o(h) = 3*c(h) - 4*m(h). Find the third derivative of o(x) wrt x.\nAnswer: 96*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03459368 rounded to four dps?\nAnswer: 0.0346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 16.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*u**3 + 44*u**3 + 71*u**3 - 6*u + 69*u**3 + 6*u.\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/99)\/(8\/6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41053, 164255, 369591, 657061?\nAnswer: 1026665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 891100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, y: 5, e: 1, z: 1, q: 1, u: 1}. What is prob of sequence qsyy?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 9*b**2 - 16*b - 10. Calculate m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24705 is divided by 3088.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let z(c) = -4*c. Let y(b) = -2*m(b) + z(b). Let s(u) = -u**2. Calculate y(s(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25641 and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 196*d**6 + d**4\/2 + 7*d**3 + 22*d + 2212. Find the third derivative of l(m) wrt m.\nAnswer: 70560*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*o + 5*o. Suppose -3*x + 4 = -o*x. Suppose -4*r + 4*l = -0*l - 8, 8 = x*r - l. Solve -r = -h + 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(39 - 9) + (-76)\/4)*(-2)\/(-8)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -313, -1049, -2475, -4819?\n\"Answer: -38*v**3 - 3*v**2 + v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 7. Let s be w(-10). Suppose l - 44 = -s*l. Suppose -2*j = -l - 9. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55539*o**4*r**2 + 19*o*r**2 - 1221*o wrt o?\nAnswer: -666468*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1175*t**4 - 1177*t**3 - 2*t**2 + 70*t - 34996?\nAnswer: 14100*t**2 - 7062*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d + 5. Let t be q(0). Let l = 9 - 5. Suppose l*j + 18 = -2. Sort t, j, 2 in decreasing order.\nAnswer: t, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/((-2)\/(-24))*10934\/(-5964)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.1 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let d(u) = 4*u - 3. Let j(k) = 2*a(k) - d(k). Determine j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 4*n + 2*n - 2*n. Let g be d(3). Is 373\/7 - g\/(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728497769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1222 + -864. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 100. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 0*g = -3*w + 6 + 78, 3276*g + 97 = 3*w + 3269*g for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-3)*((-1752)\/(-146) - (25\/2 - -1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 - 4*a**2 + 1 + a - 6*a**2 - 18*a. What is the least common multiple of x(-17) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 12. Let z(b) = b + 11. Let w(c) = -2*s(c) - 3*z(c). Give w(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2240102 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10718 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*19649649.\nAnswer: -196496.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12094841.111122 - 0.2\nAnswer: 12094840.911122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 + w - 1. Let t(h) = -54*h**3 + h**2 - 525*h + 4. Let m(q) = t(q) + 2*y(q). Find the second derivative of m(u) wrt u.\nAnswer: -312*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*t - 704 = -409*t. Calculate the greatest common divisor of 416 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 9*y**2 - 2*y**2 - y**2 + 13*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*i + 4*m - 10 = -401*i, 3*i = 3*m - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 703 and 20501.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10e - 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 1, x: 6, u: 5, r: 2}. What is prob of sequence dxxr?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 604*n**3 - 2*n**2 + 224*n - 2542804?\nAnswer: 1812*n**2 - 4*n + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2754 + 0.0754. Let o be ((-1)\/((-1)\/(-2)))\/2. Let w = o + -1. Sort p, -2\/7, w.\nAnswer: w, p, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 0.02 (c) 0.2 (d) -5 (e) 0.03 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 3 - 2*q + 11 + q + 3*q + 1.\nAnswer: 2*q + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*p**3 - 501130*n*p**2 - 2*n*p + 2*p**3 + 1847410*p**2 wrt n.\nAnswer: p**3 - 501130*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110279341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*104\/(-44)*1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(2\/(-4)). Let k(i) = 3*i**3 + i - 1. Let a be k(w). Suppose f + f = a*y - 11, -4*y = f. Solve 2*q + y + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072 = -4*n - g, -4*g = -n + 143 + 108. Let d(r) = -3*r**2 - 3*r - 28. Let f be d(-7). Let c = n + f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(200) + ((sqrt(200) + 2*sqrt(200))*5 - sqrt(200) - sqrt(200)) - (-5 + sqrt(200) + 1 + sqrt(200))) + -1 + ((1 + sqrt(200))*-6 - sqrt(200)))**2.\nAnswer: -5009 + 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*w - 168, 0*j - j - 238 = -3*w. Let m = 8 - 4. Suppose m*h + 16 = 0, 5*a + h = 3*h + 88. What is the greatest common divisor of w and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/11, 2898, -2\/14721, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0 + -1)\/(-4 + 3). Suppose z = 5*v - 45 - 5. Calculate the remainder when 47 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 1118 - 1118.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**3 - 3*c**2 + c. Let o(f) = -6*f**3 + 2*f**2 - f + 1. What is -3*a(z) - 2*o(z)?\nAnswer: -12*z**3 + 5*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:59 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4830862045 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12)\/(sqrt(18)\/sqrt(3)) + -3*sqrt(8)))**2*5.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 10*o**3 - 5*o**2 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, -0.2, -2.5, 0.24908?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 6 + 4 = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 7. Let i = k - 4. Suppose 5*o - 29 = -2*m, o - 1 = -0*o + i*m. Solve x + 0 = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 3*j - 2*j**2)*(2*j - j + j).\nAnswer: -4*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*245\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722123?\nAnswer: 722123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -822202, -822201, -822202, -822205?\n\"Answer: -u**2 + 4*u - 822205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/18*(-2115)\/180?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 27*v - 169. Let l(t) = -40*t + 253. Let w(q) = -5*l(q) - 7*o(q). Let i be w(10). Calculate the highest common factor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -66*p + 277. Let x(i) = 131*i - 554. Let k(y) = -5*w(y) - 3*x(y). Let g be k(5). Which is the second smallest value? (a) g (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8 = 5*x - 2, d = 5*x - 22. Is ((-12)\/(-9))\/(d\/(-15)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 15) + 9 - (0 - -7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 409694*l**3 + 160575*l.\nAnswer: 2458164*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117043?\nAnswer: 3117043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l + 4. Let d be y(-5). Let q(i) = 2*i**2 + 3*i + 4. Let o(j) = 3*j**2 + 2*j + 5 + 6*j + 0 - 4*j. Give d*q(h) - 3*o(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 44. Suppose -t + p = t. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47931320 divided by 1198283.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + -12 + 17 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122407*c*w**3 + 3*c*w**2 - 92*c*w + 2*c + 36*w**4 - w - 14814 wrt w?\nAnswer: -734442*c*w + 6*c + 432*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -79*n**3 + 14*n**2 + 99. Is j(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*d + 15\/2*d**4 + 81\/2*d**2 - 30 - 48*d**3 = 0. Calculate d.\nAnswer: -1, 2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**2. Let a(x) = 272*x**2. Calculate a(f(b)).\nAnswer: 53312*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 minus -22322?\nAnswer: 22284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let h be m(-5). Let n = h + 10. Let l = 29 + -25. Sort n, -4, l.\nAnswer: -4, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13956.\nAnswer: 2, 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32997.\nAnswer: 3, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 3*c**2 + c + 2. Suppose 0 = p + 5*p. Let z be -1*11*(p - 4). Let u be (-48)\/(-22) + (-8)\/z. Calculate m(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 633 - 822. Let m = -197 - y. Let i(z) = -14*z - 6. Let v(d) = -27*d - 4. Let n(r) = -9*r - 1. Let u(p) = 8*n(p) - 3*v(p). Calculate m*u(j) - 5*i(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:56 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566471561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose 30 = 3*b - 5*t, -3*b = 3*t - f*t - 30. What is the greatest common factor of 40 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 5*q**2 - 6*q - 7. Suppose 4*s - d = -23, -3*s - 20 = 3*d - d. Let x be f(s). Suppose -7*a - 36 = -a. Is x less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73087 (base 9) in base 15?\nAnswer: e42d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.627 - 3.68. Let b = 0.2245 - -0.0025. Let z = u + b. Round z to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.052, 2\/11, 2 in descending order.\nAnswer: 3, 2, 2\/11, 0.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2. Let s(j) = -5*j + 45. Let t be s(7). Let z(k) = -9*k**2. Let u(w) = t*g(w) + 6*z(w). Let h(b) = -11*b**2. What is u(h(i))?\nAnswer: -484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 56483.19968 to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -34. Suppose 0 = -4*n + 4*b + 452, 5*n + 3*b - 381 - 168 = g. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b = 345 - 75 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:39 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 13 + (36 - 49) - -7 - 18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + x = 4*x + 15, 0 = 2*v - 2*x - 2. Suppose u = v*u - 385. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2\/6 + 200*t\/3 - 1120 = 0. Calculate t.\nAnswer: 24, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1661868 and 85224?\nAnswer: 3323736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/4 + 788455*l**2\/2 - 3153823*l\/4 + 394228 = 0?\nAnswer: -1576912, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m*m\/m**(-9)))\/m)\/m)\/m)\/m)\/(m\/(m\/m**(6\/7))*m*m)*m**(1\/12)\/m**9 assuming m is positive.\nAnswer: m**(-2165\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 57154?\nAnswer: 114308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from bkkkbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(1190\/782) - 4\/14. Suppose j - q = -5 + 3, -5*j - 22 = -q. Let b be ((-2)\/j)\/(2\/80). Solve -v*t = 3*h + 24, -3*t - b = 5*h + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2. Let o(i) = -i**2. Let b(x) = 5*x**2 - 5. Let d(r) = -b(r) + 4*o(r). Let j(t) be the first derivative of d(t). What is u(j(h))?\nAnswer: -648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 19*h - 8. Let c be i(19). Let k(j) = -5 + 2 + j**3 + 2 + 8*j + 9*j**2. Let f be k(c). Put 2, f, 0 in decreasing order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (14 - 13 - ((-3 - -14) + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 940368 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8 + 0*p + 6*p - p**2 + 0 - 5*p. Let t be z(0). Solve 5*u = -t + 33 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -220 + (-22 + 18 - (-1 - 7)). Let p = c - -233. Solve p*n - 15*n = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r. Let q(i) = -42*i. Give p(q(v)).\nAnswer: -420*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/18 - 18\/(-81))\/2. Suppose o = 2*k - p - 30, -2*p = -5*k + 6*k - 25. Solve 0 = -5*n + y - k, 5*n = 5*y - 34 + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1 + (-3)\/(-5)). Let l = -8 - -6. Let k = h + l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -1620, -3259, -5434, -8133, -11344, -15055, -19254?\nAnswer: -23929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:03 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6890 times -1320\nAnswer: 9094800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-10))\/(1\/(-4)). Let d(x) = -9*x**3 + 2*x**2 + x + 1. Is d(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1552*g**2. Let s(y) = -21*y**2. Give q(s(o)).\nAnswer: 684432*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2584 - -0.1584. What is the nearest to -0.1 in 123, -1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -30.22?\nAnswer: -30.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -66619.6 to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -221 - 715. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 3*s + 2*s, b - 3 = 5*s. Let n be s\/(-2) - 0 - 41\/(-82). Solve -5 = 2*r - n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 155315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*n + 26, 11 - 102 = -2*u + 17*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 306801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/2 + 126*c**3 + 13759*c**2\/2 - 126*c - 6880 = 0.\nAnswer: -172, -80, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.46893 tonnes to grams.\nAnswer: 8468930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/12 + g**3\/6 + 5*g**2\/2 + 21*g. Let j be m(0). Solve -1 = -t + 4, 4*f - j*t + 37 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 627 and 39?\nAnswer: 8151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -5*k + 764, 2*k + 4*l - 296 = 0. Suppose 525 = 5*q + r, -2*q + 56 = r - k. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 2:14 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -12501?\nAnswer: -1\/4167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from qvmwjqwm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5\/6 - 59*s**4\/6 + 43*s**3\/6 + 11*s**2\/6 = 0 for s.\nAnswer: -1\/5, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/35*(-4665)\/(-24). Let z = r + -77. Let q = -0.16 - 2.84. What is the second smallest value in z, 2, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h)\/(h\/h**(1\/5))*h**0\/(h**(-3\/4)*h) assuming h is positive.\nAnswer: h**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 288116861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 + 30. Let y = w + 101.3. Let h = y + -5.3. What is the second smallest value in -3\/7, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 45, 6940\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/36 and 87\/19361012?\nAnswer: 174249108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 1.1. Let o = 13 + -11. Suppose v + d + 4 = -2, -2*d = -3*v + o. Which is the closest to 2? (a) v (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21860108.\nAnswer: 2, 19, 383, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 102 = -115 + 37 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2538 + -2508. Solve -o = 4*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let g(y) = 6*y**2 + y - 2. Let o be g(2). Let p be (60\/o)\/((-2)\/(-12)). Let i(z) = -16*z + p*z**2 + 16*z. Determine v(i(d)).\nAnswer: 225*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 148?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11294259, 11294260, 11294261, 11294262?\n\"Answer: o + 11294258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-1 + 7 + 16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*b + 17*b - 4806 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)*(29 + 17 + -41). Sort 5, 2, n, -4, 47 in increasing order.\nAnswer: n, -4, 2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.5 * 2\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 10:27 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -5, -11346.\nAnswer: -11346, -5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11914, -47637, -107176, -190531, -297702, -428689, -583492?\n\"Answer: -11908*p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, -3\/4, -4, 4\/173?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24171 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.3 + 84339691?\nAnswer: 84339583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -130668?\nAnswer: 130668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 3*k**3 + 2*k + 4*k**2 - 3*k**2 - 2*k**2 as q + n*k**2 + x*k**3 + f*k and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0655? (a) -34 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 22*x - 27*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 9*r**2 + 32*r + 107. Suppose -20 = g - a, -g - 7*a + 25 = -3*a. Give f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2085 and 3525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611960 divided by -57?\nAnswer: -28280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -15. Suppose 4*l + 5*a - f = 0, a - 3*a = -l + 11. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s**2 + 4. Let t be h(-2). Let v = t - 40. Suppose 19*w - 16*w - 195 = v. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 14. Let q(v) = -13*v + 29. Determine -3*q(o) - 7*t(o).\nAnswer: -3*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-18) + (20845\/45 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/8 + -3 + -21*(-3)\/273*-15.\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5.5. Let k = -594\/7 - -85. Put g, k, 2, -4 in ascending order.\nAnswer: -4, k, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2636 + 30*z + 37*z - 2638 + 4*z**4 - 5*z**4 in the form n*z**4 + l*z**3 + x + i*z + q*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (78 + (107 - 164))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + v - 5*v)*(7*v - 2 - 2*v - 7*v)*(-6 + 0 + 2) + v**2 + 0*v**2 - 4*v**2 to the form m*v + j*v**2 + p and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttna. What is prob of sequence ntat?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.1131\nAnswer: 0.03393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-10))\/((-3)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -226, -1, -4, -10, -117 in increasing order.\nAnswer: -226, -117, -10, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 at most as big as 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0506796 and -2176.\nAnswer: -2175.9493204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = t, -2*t = 4*b - 2. Let z(l) = -10*l + 3. What are the prime factors of z(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from uuuuoouuuuu.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 906755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 24 = i - 6, 5*i = -4*y - 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x + 7 - 6*x + 18*x - x - 3*x. Let n(l) = -2*l - 1. Let a be n(2). Determine y(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 731 + -729. Let w(f) = -f**2 - f + 3. Let y(h) = -5*h**2 + h + 10. Let z(m) = -4*w(m) + y(m). Calculate z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347 divided by -8.\nAnswer: -347\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(39\/7)*l*l**(-6)*l*l*l*l\/(l**7\/l*l)*l**(1\/5)\/l**(-1\/3)*(l**(-1\/4)*l)\/(l*l\/(l*l*(l\/(l*l*l**0))\/l)) assuming l is positive.\nAnswer: l**(-6001\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*f**3 - 24*c**3*f**2 + 181*c**3*f - 2*c**2*f**4 + 2*c**2*f - 82*c*f - 26256*f**4 wrt f.\nAnswer: -6*c**3 - 48*c**2*f - 630144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 4*o + 12, -4*o = -4*f + 12. Let u(a) = 7*a - 4. Let w(n) = -n. Let b(k) = -u(k) - 5*w(k). What is the least common multiple of 7 and b(o)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 c when four letters picked without replacement from cccfcfcc?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 4*j**2 - 14*j + 11. Let p be r(10). Suppose 5*w + 506 - p = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2)\/((-3)\/(-4)). Suppose 2*o + 69 = 73. Suppose -42 = -p*c - o. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9433 + 0.0567. What is the fourth biggest value in -0.04, -6, d, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1903*t**6 - 6*t**2 - 27*t wrt t.\nAnswer: -228360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {w: 3, p: 3, g: 5}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 72. Suppose -f + 23 = c. Let a(p) = -1 + 6 - 14 - 2*p**3 + 6*p**2 + 2*p + p**3. Determine a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 222725889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 12. Suppose 3*r - 4*q = -0*r - 51, a*q = -4*r - 93. Let f = r + 29. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 17*u + 71. Let j be h(-6). Let f(k) = -k**3 + 6*k**2 - 5*k - 5. Calculate f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 50. Let j(w) = -w**3 - 8*w**2 + 5*w - 4. Let l be j(x). Let k = l + 80. Calculate the greatest common divisor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -348, -855, -1592, -2559, -3756, -5183?\nAnswer: -6840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 12, 533 = 7*d - 2*g + 539 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*30\/126*7. Solve 5 = w*f - 25*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -3, -2\/3, 1016\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8\/15, 4, -1, 8.\nAnswer: -1, 8\/15, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1380 and 123\/460?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22348 and 16650.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - m**2 - 2)*((3 + 3 - 3)*(-1 + 1 - 2) + 1 - 3 + 4)*(548 + 503 - 1235).\nAnswer: -736*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 808?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 + 46 + 134 - 97)*(-6*f**2 + 113*f**2 - 2*f + 108*f**2).\nAnswer: 39990*f**2 - 372*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/35 + (-25)\/(-105). Which is the second smallest value? (a) 0.4 (b) i (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*z + 660 = 0, 2*v + v + 3*z - 474 = 0. Let k(r) = r**2 - 6*r - 9. Let b be k(-3). What is the highest common divisor of b and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) + (-24)\/(-14). Let d = -30.1 - -29. Let o = d - -5.1. What is the nearest to q in -0.5, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.833566 to one dp.\nAnswer: -451.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5864500 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/15*(-1635)\/1962. Let d = 8\/3 + -19\/6. Which is the nearest to d? (a) 1\/8 (b) -2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165\/275 + 14\/(-40)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 1777*f**2 + 26*f**3 + 22*f**3 - 265*f**2 - 50*f**3 in the form p*f**2 + x*f + m*f**3 + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -2*p - p, p = -2*t + 21. What is the remainder when 19 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*t + 32 + 558, 0 = 4*k - t - 459. Suppose -s - k = 3*s. Let z = -25 - s. Solve 0*x = z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 26 = 27 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**6\/3 - 12*k**5\/5 + 2*k**4 + 4*k**3 - 5*k**2 - 163. Determine q, given that b(q) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j**3 + 14*j**2 - 31*j + 115. Is a(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1705)\/(-186) + (0 - 5\/(-6)))\/(-2). Which is the nearest to 2\/5? (a) 6 (b) 0.3 (c) -373 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b + 15 = 0. Let v(q) = -q**2 - 5*q + 2. Let t be v(b). Let -t + k**4 - 2*k - 3 + 4 + 2*k**3 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 887 (b) -1 (c) 3 (d) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17733 - 17733 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 3*i**2 + i + 1. Let g = -23 + 48. Suppose -2*m + 3*w + 9 = 0, 0*m + w - g = -4*m. Calculate the least common multiple of p(3) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 2*n**3 + 2*n**3)*(-1 + 1 - 2*n) - 4674*n**5 - 2888*n**5 - 2911*n**5 - 1408*n**5.\nAnswer: -11879*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 7981, 7\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 823903139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 413, -0.82, -1?\nAnswer: 413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoru. What is prob of sequence ur?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1521 + 3.174307. Round y to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2365*c**2 - 20*c. Let s(x) = 8*x**2. Give y(s(o)).\nAnswer: 151360*o**4 - 160*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3266080*r**5 + 2*r**4 + 13*r**3 - 253077615*r**2.\nAnswer: 195964800*r**2 + 48*r + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 12\/42*14. Suppose -m + 80 = x. Suppose 42 = 4*b - 2*i, -3*b - b - 3*i + 37 = 0. What is the highest common factor of b and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2 + 0)*0. Let x(y) be the third derivative of -y**2 + 0 + 0*y**3 + r*y - 1\/24*y**4 + 1\/60*y**5. What is the second derivative of x(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 - y + 2. Let m be g(3). Solve v = 5*v - m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335300 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 45*z**2 - 5*z - 6. Let m(a) = 2*a. Calculate m(u(s)).\nAnswer: 90*s**2 - 10*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -291.7299*0.04\nAnswer: -11.669196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 a when four letters picked without replacement from araayyraaayyy?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m - 8. Let v be z(-4). Suppose -2*y - 825 = -5*r, v*r - y + 647 = 4*r. List the prime factors of r.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 14*l = 54360 - 54900 for l.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1065\/1917*(-1068)\/10)\/(64\/96)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 0 (c) 3 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(8 - 4 - 3). Let k be -3*6\/(-63) - (-234)\/14. Solve -4*g = j - k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:27 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3*(-4)\/42. Let h = -10.7 + 12.7. What is the third biggest value in h, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -20*a + 38*a - 17 - 17*a + 13. What is n(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(20\/(-42)*6\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409\/8 - 51. Let z = -0.1294 - -1.1294. Which is the closest to z? (a) 5 (b) s (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 plus 0.0003?\nAnswer: 138.0003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1859\/(-2886) - (-1)\/(6\/4). Are 1 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 122 = -c - 160, 0 = -4*c - 8. Calculate the smallest common multiple of t and (-2384)\/(-34) + (-150)\/1275.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243))*5 - sqrt(243).\nAnswer: 5 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61558*x - 71 + 61525*x + 8)*(3*x**2 + x**3 - 3*x**2) in the form s*x**4 + l*x**3 + i + b*x + m*x**2 and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -710591*u - 2711774 wrt u?\nAnswer: -710591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -0.1 (b) 0 (c) 0.5 (d) -11540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ca7 - -ba?\nAnswer: 2094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 249137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 96.703603 - -0.1\nAnswer: 96.803603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5483135 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*a - 184 = -7*i, 5*i - 3*a - 312 = 0. Let t = i + -18. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a**2 + 3*a - 2. Give i(-5).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -930*k**2 - 22*k + 27. Let t(a) = -5580*a**2 - 133*a + 166. Let z(n) = -2*t(n) + 13*x(n). What is the second derivative of z(d) wrt d?\nAnswer: -1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/90 - a**5\/30 - a**4\/36 + a**3\/9 + 9*a + 8. Let y(q) be the first derivative of c(q). Let y(t) = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - -37) + 8 + (27 - 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001000001111011000000 (base 2) to base 3.\nAnswer: -1001010112122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5539*n**4 - 1013*n**2 wrt n?\nAnswer: -132936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*m + 18 = 0, -3*m + m = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4852*j + 18. Let m(x) = 1960207*x + 7269. Calculate 6*m(n) - 2423*v(n).\nAnswer: 4846*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -721, -38, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(432) + sqrt(432) + 1.\nAnswer: -1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3047 (b) 3\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 3*a**3 - 2*a**3)*(15 - 1 + 13) + 4*a**3 - 2 - a**3 + 0*a**3.\nAnswer: -24*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*v + 4*v + 13*v - 19*v**2 wrt v?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8801 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 26. Let c(r) = -r**3 + 110*r**2 - 107*r - 158. Calculate the remainder when c(109) is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 80*j**2 + 78*j - 11. Give y(39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*g + 5*g. Let s be 30\/7 - g\/14. Let i = 108 - 105. Solve -5*b + 15 = 0, -3*b = -2*v - i + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 + 16 + 0*d**2 - d**3 - 15. Let q be g(4). Solve q - 7 = 2*r, 2*r + 31 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 59242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 171955723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let k(q) be the first derivative of -5 + 9 + 4*q**2 - 3*q**2. Determine d(k(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.112? (a) -0.38 (b) 0.4 (c) 558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-21)))\/((j*((j**(-1\/2)*j)\/j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 158?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -g + 5*g - 15, 5*g = 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60675.44g to kilograms.\nAnswer: 60.67544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3275*k**2 - 715*k = 0?\nAnswer: -143\/655, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p + 6. List the prime factors of (-8)\/(-16)*(-88)\/p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5513587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -672, -1577, -2772, -4257, -6032?\nAnswer: -8097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698844 is divided by 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbwpppjpnybjpjynyyn. Give prob of sequence nj.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 311+243563.67524\nAnswer: 243874.67524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.0426 - -17. Let r = m - -0.04259769. What is r rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-20)*(1350\/60)\/(-9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 + -88. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzezseeszzzzzss. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/3 - 2*r**2 + r. Let u be s(-3). Solve -u*z = -4*p - 0*p + 2, -5*z - 5 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -533 + 680 + (-4707)\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278.14 + -19.16. Let z = 321 + f. Let a = -28 + z. What is a rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 72, 5, -9 in ascending order.\nAnswer: -9, -5, -1, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**5 - 174172*w**3 + 1173*w**2 - 6*w + 10 wrt w?\nAnswer: -360*w**2 - 1045032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 128. Let x(o) = -2*o - 122. Determine -4*d(q) - 5*x(q).\nAnswer: -2*q + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -229 and -424891.\nAnswer: 97300039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-38)\/(-4) - 8)*-2. Let l(w) = -308*w**3 + 5*w**2 + 10*w + 22. Is l(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6387499 + -0.02901.\nAnswer: -6387499.02901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z**2 - 88*z**2 - 26*z**2 + 22*z**2.\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -287004?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + 14 + -1 + 24 + (11 - 78).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 6555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (4\/6 - 3\/(-9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171310329 a multiple of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 25*i**2\/3 - 56*i - 48.\nAnswer: -(i + 1)*(i + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/1235 and -33\/310.\nAnswer: 76570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, 13.\nAnswer: -1, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 4*m**2 + 3*m**2 + (94*m + 13*m**2 - 94*m)*(2 + 2 - 7) to the form r + c*m**2 + o*m and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8618 is divided by 655?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = -10*i + 2*i. Let c = i + 48. Sort 5, 2, c.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7961 + 0.\nAnswer: -2.7961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101453 (base 13) to base 8.\nAnswer: -46201514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 46 - 54) + -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1779*h + 287*h - 575*h - 185*h.\nAnswer: -2252*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -70*b - 1555 - 1335 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611167 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(-390)\/(-858)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -141?\nAnswer: 8\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i - 3*i. Let b be 11\/i - 6\/9. Let x = b + 3. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*m + 155 = 126*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1\/4, -3, 5\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 135045\/70*1\/(-3). Let t = 645 + q. Let y = -3\/7 + t. What is the smallest value in y, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**6\/5 - r**5\/10 + 517*r**4\/12 - r + 248. What is the third derivative of l(h) wrt h?\nAnswer: -144*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2 + 2 + -2. Let y be 180\/(-42) + b\/(-7). Let z(p) = p**3 + 4*p**2 - p - 4. Let j be z(y). Round j to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283357.\nAnswer: 3, 761119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253938963.\nAnswer: 3, 84646321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from {e: 1, f: 1, j: 1, l: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 77 + -1 + (-7 - -4) + 2. Suppose 5*w - 70 = l. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2 (c) 2\/3 (d) -9 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 1\/3*h**3 - 2*h**2 - 2*h + 0. What is the units digit of y(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.29 * -2.068.\nAnswer: -2.66772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -665 less than or equal to -664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/30)\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*(g*g**(-5))\/g)**(-4)*g**(-2\/3)*g\/g**(-4)*g**(-4)*g*g*g\/g**8 assuming g is positive.\nAnswer: g**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - 834*f**2 - 66*f + 3526. Let v(c) = -c**3 + c**2 + 16*c + 1. Let y(m) = -p(m) - 4*v(m). What is the first derivative of y(d) wrt d?\nAnswer: -6*d**2 + 1660*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 606041 + -606021. Let k = 0.07 - 0.77. Let t = 0.3 + k. Which is the second smallest value? (a) t (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65369, -130779, -196187, -261593, -326997?\n\"Answer: u**2 - 65413*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 3*x**2 + 6*x - 4. Let k(f) = 4*f**3 - f + 1. Let w be k(1). Let a be s(w). What is the third derivative of -27 + a*u**2 - 2*u**4 + 27 wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -23. Let b(z) be the first derivative of 0*z**3 + 1\/2*z**2 + p*z - 2\/5*z**5 + 2 + 0*z**4. Find the second derivative of b(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.13 + -0.13. Let w = n + 3. Let z = -16.6 + w. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6620 or -1454?\nAnswer: 6620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26627 is divided by 8716?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.23 - 1.23. Which is the biggest value? (a) -1\/13 (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81088110.0000153 + -81088194. Let s = b + 84. What is s rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 733002070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 11. Let p(v) = 5. Let x(w) = -3*f(w) + 7*p(w). Suppose -13 = 5*k + 17. Does 7 divide x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/314607231?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3141\/62153 - -12\/683. Sort m, -7, 4, 0.3 in descending order.\nAnswer: 4, 0.3, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + -2.58. Let w = -1956.642 - -1959.141978. Let i = w + g. Round i to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 25, 39, 53?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11682 and 649?\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23.282715ns?\nAnswer: 0.00000000038804525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.071 - -0.021. Let g = -0.22 + 0.02. Which is the nearest to m? (a) -5 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/45037 (b) 0 (c) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2\/3)\/((-132)\/18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r)*(4 - 5 + 0 + 1 + 0 - 3 + (0 + 2 - 1)*(3 - 1 + 0) - 4 + 2 + 4 + 12 + 14 + 2).\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077208 less than 4077208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2346 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -108*w**2. Let m(t) = 11*t + t**2 - 12*t + t. What is o(m(l))?\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 8*b + 5)*(0*b**2 + 0*b**2 + 2*b**2) + 8*b**3 - 12*b**3 - 8*b**3 to p + n*b**3 + w*b + l*b**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13653897478 + 13653897478 - 6*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*q**4 + 4473*q**3 - 14*q + 9632 wrt q?\nAnswer: -264*q**2 + 26838*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -97\/3 (c) -42 (d) 5 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:29 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-2)*(-76)\/6 is divided by (-29)\/(348\/(-264)) - 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 915 + 8\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-15))\/((-6)\/20). Let p(h) = -h**2 + h. Suppose 0 = 5*z - 2*w + 5, 4*w = -z + 5 - 6. Let g(v) = 7*v**2 - 6*v. Determine r*p(m) + z*g(m).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 12*u**2 - 13*u + 4. Let q be w(7). List the prime factors of ((-8)\/20)\/((-1)\/q).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 760*f.\nAnswer: f*(f - 760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 38*m + 3. Let b = 4 + 0. Is j(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.92? (a) 2 (b) -2\/7 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.814847 milliseconds in hours?\nAnswer: 0.0000213374575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -98 + 63. Suppose -n*b + 386 = -76. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 983250 and 9063.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284718 is divided by 571119.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from wihkhnwnihiniwwk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 129132322.99943.\nAnswer: -129132318.99943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = -v - 24*k + 3931, 5*k - 27517 = -7*v. List the prime factors of v.\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*i + 1756 + 5125 + 1306 + 2298 = 0 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -6\/12913, 5, -0.3 in increasing order.\nAnswer: -0.3, -2\/9, -6\/12913, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 7128*r + 146249402.\nAnswer: -2*(r - 10517)*(r + 6953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -0.4 (c) -0.5 (d) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-574)\/(-98) + 2\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2451 + -1197. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 332 + 312 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 0. Suppose r = 17*o - 22*o + 50. Calculate the highest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 4885*k**2 - 1023270*k - 1028160 = 0. What is k?\nAnswer: -1, 306, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 55 = 37*z. Suppose 231 = z*q - 990. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 29 (b) -0.5 (c) -23694 (d) 1\/3 (e) 1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 324130.5 to the nearest one thousand.\nAnswer: 324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*g + 2*t, t - 21 = 4*g - 4*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*a + 184 - 174, 3*q - 3*a + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (1 + 3) - -9. Let r(y) = 6*y**2 + 23 - 43*y**3 + 128*y**3 + 2*y - 44*y**3 - 42*y**3 - 29. What is r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 946*v**2 - 878*v**2 + 1825*v**2.\nAnswer: 5*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, 0, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8400 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 37 = -76. Put o, 3.1, -1 in decreasing order.\nAnswer: 3.1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a6 (base 14) in base 8?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64125 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 31. Let w be 34\/o - (-4)\/18. Suppose -370 = -c - w*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6 = -48. Let v be h\/(-12) - (-380)\/24. Which is smaller: -0.2 or v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2079204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 240 - 1612. Let u = j - -6181\/18. What is the common denominator of u and -89\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34053?\nAnswer: 3, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, 34, 170?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -1 - (4 + 3)) + 3 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:01 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6868995, 6868994, 6868993, 6868992?\n\"Answer: -v + 6868996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 163 + 31 = 0. Solve -m - o = -6*m - 4, -5*m + 3*o = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 30*d - 64. Let z be j(-32). Suppose z*p - 5*p + 10 = 4*a, -5*a + 35 = -5*p. Solve -15 = a*s + 3*x + 2*x, 5*x + 15 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.143 and 30.\nAnswer: 29.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 53*p - 3577. Determine n(68).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 = -19. Let g(k) = -k**2 + 8*k - 10. Let x be g(7). Let s = l + x. What is the second biggest value in s, 0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and 0.66482.\nAnswer: -55.84488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72)*2)**2 - sqrt(2)) + (-3*sqrt(4))\/sqrt(2).\nAnswer: -288 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/53690 and -54\/17641?\nAnswer: 1234870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 3 + -2)*3. Suppose -13*w + 2 = -f*w. Solve m - 14 = 3*u, -w*u + 6*u + 4*m - 8 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*(-30)\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 8)*(-15*o + 34*o + 27*o)*(0 + 0 + 2*o)*(-2 + 0 + 0).\nAnswer: 368*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*a + 144, -138*a - 33 = -d - 142*a. Calculate the remainder when 168 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(4 - (-372)\/(-92)). Let a be 6 - (-4 + 5) - x. Suppose 2*u - a = -16. What is the greatest common factor of u and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 + 4 = 0. Suppose a*m - 28 - 8 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-3*h**2 - 4 + 4 + (-10*h - 2*h - 14*h)*(7 - 7 + 26*h) + h - h + h**2).\nAnswer: -678*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465a69 (base 11) to base 7.\nAnswer: 6201256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395678*x - 395687*x + 791326*x.\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013.7767 months in millennia?\nAnswer: 0.167814725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34644, 34668, 34702, 34746, 34800, 34864, 34938?\nAnswer: 35022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -123.5. Let v = -11.5 - p. Suppose -l - 2*k + 0 = 4, 4*l - 3*k - 17 = 0. Which is the nearest to l? (a) -0.2 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**4\/12 + 13*n**2. Let a(m) be the first derivative of 2 - 1\/3*m**3 + 0*m**2 + 0*m. Calculate d(a(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 = -5*j - 84*g - 464, 3*j + 4*g = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4264443127 to the nearest integer?\nAnswer: 65303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p - 5*q - 23, -19 = -p + 5*q. Is 2\/5803 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Suppose 5*d - x - 117 = -v*x, d - 2*x = 29. Let f be (-6)\/4*(-40)\/6. What is the highest common divisor of d and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 1105*h**3 + 62675*h**2 + 178215*h.\nAnswer: 5*h*(h + 3)*(h + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/2, 0.1, -1\/11, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 17*z**2 + 9*z + 16. Determine u(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -15. Let m = -2.7 - s. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -130 in descending order.\nAnswer: 3, -11, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 586263 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 59, 100, 143?\n\"Answer: s**2 + 36*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -8, -3, -9, -12.\nAnswer: -12, -9, -8, -3, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*m + 4 = 0, -3*i + 62 = 5*m + 60 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 107, 4, -0.07?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2262.32935 rounded to the nearest 10?\nAnswer: -2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let f = 7.2739 - 0.2739. Which is the smallest value? (a) f (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -324151325?\nAnswer: 324151320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:45 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 38. Let n be y(0). Let v = n + 2. Suppose -v = -2*x + 4*l, -2*x + x - 2*l = -4. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 5*n + 0*n)*(-n**3 - n**3 + 5*n**3) - 2*n**4 + 3*n**4 + 0*n**4 + (4*n**3 + n**3 - 4*n**3)*(0 + 0 + 2*n) - 2*n**4 - 4*n**4 + 30*n**4.\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 204*c = -8328 - 1112 + 608 for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27805937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6136 and 1062.\nAnswer: 55224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 - 398 = -16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uguk when four letters picked without replacement from kggguukupk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 greater than or equal to -5094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/22 and ((-2)\/170)\/(((-168)\/(-1710))\/(-14)).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010101110010000000 (base 2) to base 12\nAnswer: -14b400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 83 - 7 = p, -p - i = -68. Suppose 24 = -c + p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 84, 283, 666, 1293?\n\"Answer: 10*z**3 + 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 1, k: 1, v: 1, f: 1}. What is prob of sequence mdmv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1053) + sqrt(1053)*4 + 3).\nAnswer: 18 + 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 7:25 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 124?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - m)*(-5*m**2 + 0*m**2 + 3*m**2) - 4*m**3 + 5*m**3 - 2*m**3 + 2*m**3 + 3*m + m - 6*m.\nAnswer: 3*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1056 by 6.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*x**5 + 13635720*x**4 - 74245484*x**3 + 127955040*x**2 - 67345600*x = 0. Calculate x.\nAnswer: -42091, 0, 1, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.12 from -8.44739301034.\nAnswer: -9.56739301034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -2 - -4*21\/(-56). Suppose 0 = 4*s - 3*s + 1. Which is the nearest to s? (a) -1\/3 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13775924219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452635 is divided by 150859?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 1333270999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019228 to 6 decimal places.\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:36 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*j + 10*j - 3*j)*(86*j**4 + j**2 - 51164*j**3 + 51164*j**3).\nAnswer: 1978*j**5 + 23*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, -4, -3, -1, -39, 6 in increasing order.\nAnswer: -44, -39, -4, -3, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 8*x - 144 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5. Let r = x + 2. What is the lowest common multiple of 3 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 17*z**2 + 19*z + 22. Let f be t(-18). What is the second derivative of 0*g**f - 12*g**5 - 149*g + 123*g + 0*g**4 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 3\/32, -2\/1171, 2\/5, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27 and -73\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4819 - -3901. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67833, -2, 4, -3, -4 in descending order.\nAnswer: 4, -2, -3, -4, -67833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 992, -1689, -4370, -7051?\n\"Answer: -2681*r + 3673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/7)\/p**(24\/7)*p**(1\/2)*p**(-7\/8) assuming p is positive.\nAnswer: p**(-165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let c = -317 - -307. Is (4 - (-45)\/c)\/(q\/(-254)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u + 20. Let j(x) = x**3 + 4*x**2 - 5*x + 5. Let g be j(u). Let n be (-2 + (-10)\/(-6))*0\/(-1). Solve -7 = -5*h - 2*q - n*q, -4*h - 8 = g*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399301 is divided by 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -155. Let u = h - 27. What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -12)\/((-2)\/11) + -29?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -617 - -1889. Suppose -s - 633 = -5*y. Suppose -151 - y = -4*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663539 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k + 3. Let l(v) = -1 + 4 - 5 + 1 - v. What is 4*h(u) + 14*l(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -8000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143890?\nAnswer: 2, 5, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*d - 1 - 1, 0 = 4*d - 4*t - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 252. Let i be ((-3)\/(-14))\/((-18)\/t). Let x = 387 + -386.6. Which is the third smallest value? (a) x (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 134 + 94 = 3*o, 3*o = u - 60. Suppose -2*f = 2*f - u. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.39402 - 14992\nAnswer: -15026.39402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaagaaaaa?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 7\/55, 0.12, 2\/19?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f - 5, -20 = -5*t + 5*f. Solve 2*s = 4*m + 16, 0 = t*m + s + 2*s + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:37 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 1615?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2604 divided by -62\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7ab4 - 6?\nAnswer: 7aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - -258. Calculate the remainder when r is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 45.56 (b) -1\/12 (c) 1 (d) -474\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 332.4 + -333. Let x be (-1 - -1)\/(2\/(-1)). What is the smallest value in -3, z, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 25*y - 6. Let c(z) = -38*z + 8. Give -5*c(u) - 7*q(u).\nAnswer: 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - ((-48)\/(-14) - 20\/(-35)). Suppose -v = p*v - 753. What are the prime factors of v?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.427 (c) 458 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -335 and -1128447.36.\nAnswer: -1128782.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 76 = -80. Suppose -7 = -4*i + 1. Suppose -3*a - l - l - 8 = 0, 2*a = 4*l + 16. Solve a*y + i*y + 1 = -3*f, -4*y = z*f + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250 + 453. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 212?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 33 = 3*g, 50*c = -2*g + 51*c. Sort 1\/41, -8.7, g in descending order.\nAnswer: g, 1\/41, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + (-34 - (-20 + 0)) - -42?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43833 is divided by 925?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7333 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -580 (base 15) to base 6\nAnswer: -5433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12110?\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/30*5\/(-2). Let t be (3 - 1) + 234\/(-120). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 0*b**2 + 0 - 1\/720*b**6 + 0*b**3 - 1\/60*b**5 - 3*b - 1\/12*b**4. Let a(q) be the third derivative of l(q). What is a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {p: 13, z: 3, l: 3, n: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -344 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/60)\/(-5*8\/(-100))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -512.3 take away 5.2?\nAnswer: -517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -306*m*x**3 + 4*m*x + x**3 - 34*x wrt x?\nAnswer: -1836*m*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 + 16 = 0. Suppose f*g - 7*c - 11 = -2*c, -3*g + 5*c + 7 = 0. Suppose g*v + 23 = 91. Solve 4*u + v = -x, -3*x - 6 - 1 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11679, -11680, -11681, -11682, -11683?\nAnswer: -11684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -23*n - 36. Let j(d) = -42*d - 68. Let u(o) = -6*j(o) + 11*z(o). What is u(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193218, -193229, -193240?\nAnswer: -193251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357932 + 357996 = 4*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 632 + -627. Which is the nearest to 1? (a) y (b) -5 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiil when four letters picked without replacement from {l: 9, s: 4, i: 4}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/((t**10*t)\/t*t)))\/t**(-11)*t**(-6)\/(t*t\/t**(-1\/8)))**42 assuming t is positive.\nAnswer: t**(2499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.953 - 0.047. What is the biggest value in -4, 18, m?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, c: 3}. What is prob of picking 3 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + u**2 + 6*u**2.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 5*s + 1. Let g be 46\/184 - (-1 + (-11)\/4). Let t(n) = -n - 5*n - 7*n + 4*n + g*n**2 + 1. What is 7*c(w) - 4*t(w)?\nAnswer: -2*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, -5, 0.01, 6, -12?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1140*o - 1881. Let r(m) = -24*m**2. What is x(r(h))?\nAnswer: 27360*h**2 - 1881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111111000 - -110011011110?\nAnswer: 101101011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196153705.\nAnswer: 5, 11, 349, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4.53 + -36\nAnswer: -31.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/72 + 5*q**4\/48 + 5*q**3\/18 - 30*q**2. Let b(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-6 + 3) + -23. Let p = 51 + m. Suppose p = 4*s - 2*d - 15, -2*d = 4*s - 48. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317027?\nAnswer: 3, 439009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 3*a**2 - 8*a + 1. Let g(o) = o**2 - 11*o - 8. Let b be g(12). Let x be -4*b\/8*3. Is t(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4950 equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)*(-2)\/4. Let h = 21.8 - 21.3. Sort 0.4, l, h in ascending order.\nAnswer: l, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.79185 millennia to years.\nAnswer: 95791.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8\/9, -4\/7, 2 in ascending order.\nAnswer: -4, -8\/9, -4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from kkkkakkkkkkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62096357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*y + y + 17843, -5*s + 4*y + 89269 = 0. Calculate the remainder when s is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -140*((-72)\/4100)\/(-3). Let h = i + 9\/41. Is -1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39 + 1281 + 499 + 1510 + 2615*r wrt r?\nAnswer: 2615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6 and -83\/6212.\nAnswer: 18636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(352) + (sqrt(352) - (sqrt(352) + -4*(sqrt(352)*-1 + sqrt(352)))) - 5*(sqrt(352)*-1 + sqrt(352) + sqrt(352))))\/(2*2*sqrt(392)*-6))**2.\nAnswer: 44\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 29 - (-2 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3074 is divided by 721.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 10 = -2*p, -2*p = -47*r + 48*r + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2405.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/40*33*585\/(-1716)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - 138. Sort -3, -1, x, 4 in decreasing order.\nAnswer: 4, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 12. Let o be w(4). Let l be 2 - (2 + (-5956)\/o). Let a = -728 - l. Calculate the common denominator of a and -49\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssbk when four letters picked without replacement from kesdbse?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 577496?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.42 - -0.02. Let d = 2.004 + -0.004. What is the nearest to 0.1 in -0.01, a, d?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -880 + 880. What is k in o + 4\/7*k**2 - 2\/7*k**3 + 6\/7*k = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:45 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-1)\/3 - 10\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158b383 (base 13) in base 11?\nAnswer: -3a08589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-12)\/(-7 - -19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 + j - 1. Let a(w) = -99*w**3 - 3*w**2 - 3*w + 105. Let l(y) = -a(y) - 3*b(y). What is the derivative of l(u) wrt u?\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*(-880)\/1386 - 4\/(-36).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20768459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/60)\/(16\/(-20)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4 + 3940*l**3 + 11850*l**2 + 11860*l + 3955 = 0.\nAnswer: -1, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 7*v - 1 = -4*d, -3 = -3*d. Sort -3, -4, v.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8475*k + 16959*k - 8484*k + 11*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35502, -0.5, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 1 + 3*i**2 in the form b*i + m*i**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13938 - 7733 + 7870 - 11823)*(-1 + 2*c + 1).\nAnswer: -51248*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -61?\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + -104 + (-2 - (-2 + 3)) + 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(r**2 + 4 - 4)*(32*r + 23*r + 22*r).\nAnswer: -231*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 20, -3, 355, -2, 3, 5 in decreasing order.\nAnswer: 355, 51, 20, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:26 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-15)*(n**(-1\/4))**(-6) assuming n is positive.\nAnswer: n**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 27*q**2 - 22*q - 107. Give t(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**9*(n*n**(-1\/3))\/n*((n\/(n\/n**(-2\/3)))\/n)**(-2\/31) assuming n is positive.\nAnswer: n**(272\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66, -265, -596, -1059, -1654, -2381, -3240?\n\"Answer: -66*r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.58132 hours to seconds.\nAnswer: 315292.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*v + 8 = 0, 2*v - 112 = c - 110 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 6\/12)*28\/(-105))\/(48\/198)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(-3) - 1). Suppose 2*j + 1 = s*j. Solve j = 3*h + m, 0 = -h - 3*m + 16 - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83995780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1052*b**2. Let l(s) = 44*s. Let x(v) = 19*v. Let r(g) = -3*l(g) + 7*x(g). Determine r(k(o)).\nAnswer: 1052*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.10518 centimeters in micrometers?\nAnswer: 51051.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69250512968668 take away -1?\nAnswer: 69250512968669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*k - 2*b - 7, -4*b - 4 = 0. Calculate the greatest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15288768 divided by -637032.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + (-1160)\/36. Let r = -27 - a. What is the third biggest value in -1\/2, 3, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 66 + (-33 + 10 - (-2 - 15))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Suppose -f*x + 12 = x. What is the nearest to -1\/2 in 0.5, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d**5\/3 + 418*d**4\/3 - 26246*d**3\/15 + 108494*d**2\/15 - 46568*d\/15 - 7544\/3 = 0 for d.\nAnswer: -2\/5, 1, 41\/5, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2 + (2 - 1). Suppose 2*t + 0 = 4*d - 4, v*d = 2*t + 1. Suppose 6*h - 99 = d*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9))\/(2\/6). Let i = 4.9 - 1.1. Let m = i - 0.8. Which is the third biggest value? (a) m (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 + n + 1. Let m be r(7). Suppose 0 = g - 0*g - m. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 15636*n - 31284.\nAnswer: 3*(n - 2)*(n + 5214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = -13*l + 10*l. Suppose l = 5*r - 2*p, 3*r - 2*p - 128 = -3*p. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:44 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1573928 and 47328.\nAnswer: 547726944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 106*o**2 - 3*o + 5. Let y(g) = 54*g**2 - g + 2. Calculate -2*k(b) + 5*y(b).\nAnswer: 58*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73347\/25 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3177917*x**3 + 414*x**2 - 6386.\nAnswer: 19067502","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134.7 - -143. Let v = -8 + s. Let k = 73 - 75. Sort k, v, 1 in ascending order.\nAnswer: k, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6 + (-28)\/24. What is the closest to -1 in -0.2, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-2))\/(-3)*20\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = j + 29, 0 = 5*i - 1745*j + 1742*j - 48 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = l + 5*l. Let c = 0.39 - -0.01. What is the smallest value in -1, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860561 divided by 47?\nAnswer: 60863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003275 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 1 + 21\/3. Let y(g) = 3*g**2 + 9*g**3 + 7*g - 5 + 0 + 2 - 4. Let n(p) = -5*p**3 - 2*p**2 - 4*p + 4. Let i(u) = b*n(u) + 4*y(u). Factor i(s).\nAnswer: s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 6, 15, 28, 45, 66?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -387, 1\/44, -0.5, 2, 2\/9?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 = 4*k. Suppose -2*d + 7*d = -5*t + 225, -5*d = 3*t - 215. What is the common denominator of 11\/14 and (-12)\/d*(-47)\/k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*v. Suppose v = -4*y - 2*d + 7240008, -3619992 = -2*y - 2*d + 4*d. What is y rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 44*f**3\/3 + 3*f**2\/2 - 2*f - 23. What is the tens digit of h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 1272936?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/2 in -1, 0, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*y - 12, 3*s - 2*s = 2*y. Solve -2*z - s - 12 = 3*a, z + 10 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/7 - 10817*g**3\/7 + 3091*g**2 - 10819*g\/7 = 0 for g.\nAnswer: -10819, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 861\/615 + 52\/(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4953547603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**5\/60 - 5*g**4\/24 + 5*g**3\/6 + 27*g**2. Let t be i(3). What is the units digit of 2\/8 + 441\/12 - t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(1\/3)*(b\/((((b*b\/(b\/b**(-5\/3)))\/b)\/b)\/b))\/(b*b**(-6)) assuming b is positive.\nAnswer: b**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 0*x + 4 + 4*x**2 - 4 + 2. Let s be p(2). Is (-2)\/s - (-392)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*n = 4*n - 36300, 3*s = -18*n + 21780. Does 110 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34900.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 506647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1258*h + 96454037 - 96454037.\nAnswer: 1258*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*n - 10. Suppose -3 = 3*f - 2*l, 3*f = 3*l - 0 - 6. Let i be (4\/2)\/(f\/8). Calculate the highest common factor of i and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440232039?\nAnswer: 3, 13, 3762667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -4.424623.\nAnswer: 70.793968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**3 + 10*h**2 + 2*h. Let s be w(-2). What is the highest common divisor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1150*f**2. Let j = -6700 + 6999. Let b(k) = 23*k**2. What is j*b(r) - 6*c(r)?\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q - 2. Let f be z(-5). Suppose -1 + 16 = f*p. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -10553.58\nAnswer: 738.7506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k**2 + 4*k + 33. Let o(c) = -3*c + 2. Calculate -2*o(w) - x(w).\nAnswer: -8*w**2 + 2*w - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4363)\/50)\/(4\/(-190)). Let y = -10251 - -6107. Let m = g + y. Find the common denominator of -83\/14 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00331589 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:44 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*r = -260*r - 442. Solve r*z = 10*z - 5*l - 5, -2*l = -3*z - 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -625.3747 rounded to the nearest integer?\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 424?\nAnswer: 3\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etetttthttctt. What is prob of sequence tehc?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 529831 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -0.3, -270 in ascending order.\nAnswer: -270, -1, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 316.\nAnswer: -7\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6790\/(-98) + 2*2\/14. Let m = -77 - y. Calculate the remainder when 141 is divided by 16\/6*(-4)\/(m\/18).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 7*r**2 - 6*r. Let t be p(-6). Determine h so that -h**2 - h**3 + t*h**2 + 2*h**2 + 0*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(8) - sqrt(13)) + 4 - ((sqrt(13)*-2)**2 + 5 - sqrt(13))) + -2.\nAnswer: -55 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22356 and 91\/972?\nAnswer: 22356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 1088496351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-195)\/6)\/5*(2 - 480\/208). Suppose 136\/7*t**f - 578\/7*t**3 - 8\/7*t + 0 = 0. What is t?\nAnswer: 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 7, x: 5}. What is prob of sequence nixi?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2511 - -2543. What is the fourth biggest value in -14, 1\/9, 5, y, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-2142)*-259*9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 3. Let y(w) = w + 12. Let l be y(-6). Let b be a(l). What is the highest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4591*h - 16. Let q(i) = -2*i + 5. What is o(b) + 3*q(b)?\nAnswer: -4597*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-2 - 8))*3. Let i be (z\/12)\/((-9)\/120). Is 5 a factor of 3\/((-69)\/i - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1041934698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*q**2 + g**2*q*w + 2*g**2*q + 124*g*q + g*w + 18*q**2*w + 24*q**2 wrt q.\nAnswer: 2*g**2 + 36*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q - 6 = -35*q. Suppose -218 = -3*s + n, -q*s + 19*n = 24*n - 151. Solve -65 + s = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*v + 3*v - 3*v)*(-6725 - 947*v + 6725) + (1 - 2 + 2)*(v**2 + v**2 + 0*v**2) in the form b*v**2 + o + l*v and give b.\nAnswer: -12309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/5 + 66*f**3\/5 + 123*f**2\/5 + 12*f.\nAnswer: 3*f*(f + 1)**2*(f + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*v + 3 = -5*v, -4*l - 4*v = -24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 390 - 1?\nAnswer: 38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4030 + 4029.5. What is the third smallest value in v, 4, 1820?\nAnswer: 1820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255 + 165. Let a(f) = 198*f**3 + 45*f + 243. Let l(v) = 9*v**3 + 2*v + 11. Let x(y) = p*l(y) + 4*a(y). Differentiate x(t) with respect to t.\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52018 = -17*n + 163572. What are the prime factors of n?\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-180))\/((-6)\/4705). Is m bigger than -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 29*p**3\/3 + 2*p**2 + 41. Find the second derivative of s(t) wrt t.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 91*x + 168. Does 8 divide r(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 28321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1277 + 1926. Is 1\/((5\/20)\/(o\/4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -0 - 0. Let f be (-989)\/(-115) + (v - (-2)\/5). Solve -3*a = d + f + 3, -3*a + 4*d = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 301107, 301102, 301097, 301092, 301087?\n\"Answer: -5*n + 301112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 560*x - 24977. Determine b(45).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000172012 rounded to 7 decimal places?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*v + v. Let y = v - -2. What is the third derivative of -2*r - r**y + 3*r**2 + 2*r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from hfffhffff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -1, -262, 2, -33 in ascending order.\nAnswer: -262, -33, -1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -819*50.\nAnswer: -40950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 226\/342417 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 - 12162*o**2 - 84888*o + 3. Give u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -14649.\nAnswer: -14649, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -g + 3*l, -5*l = -g + 25. Let u(t) = t**2 + 5*t + 6. Let j be u(-4). What is the third derivative of g*s**2 + 3*s - j*s**6 - 3*s + s**2 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1308870408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 18\/5*i**2 + 2\/15*i**6 + 14\/5*i**4 + 42 - 8\/5*i - 24\/25*i**5 - 64\/15*i**3. Factor h(y).\nAnswer: 4*(y - 2)*(y - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 30 = 0, 5*y - 59 = -2*p - 0*y - 97 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 11. Let j be y(-12). Factor 4*m**4 + 17 - 1 - 7*m**2 - 48*m + j*m**2 - 24*m**3.\nAnswer: 4*(m - 2)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -61. Let i be (-8)\/j*7\/2. Calculate the greatest common factor of 16 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 252 + -252.2128. Let p = d - -0.21. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2295 by 135.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.5 + -3. Let l = r - 2.5. Which is the fourth biggest value? (a) 3 (b) l (c) -0.2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-20)\/k)\/k*k)\/k*k)\/(k**(14\/9)\/k))**(6\/5) assuming k is positive.\nAnswer: k**(-388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 25 - 8)*(-2*x + 5*x - 2*x).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*g + 2 = 0, -20 = 4*z - 5*g - 3. Solve -v = v - z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135.59 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128088?\nAnswer: 2, 13, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -7.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*x - 521, -3*x - 35 = n - 154. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 1706629162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c - 32. Let w be 2*(-6)\/(-36)*-15. Let a be n(w). Solve 4*z - f - 2 = -4*f, 0 = -a*z - f - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 + 715*h = 0. Calculate h.\nAnswer: -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/3152765 and -61\/35.\nAnswer: 3152765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 617 + 1223?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 + -163. Suppose -3*f = -f + 5*i - 90, 0 = -2*f - 2*i + x. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12558 = -5*y, -2*m - 5028 = -2*y - 4*m. Suppose u - y = -2*q + 4*u, u + 5014 = 4*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**2 + 439 - 24*b**2 - 439 + 10*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305367 is divided by 328?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:32 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from dggbddblbdtqddgdql.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -2*d + 20*b - 6, b = 3. Solve t - 2 = d, -p - 3*t = -4*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 64 = -a - 5*u, 0 = a - u - 68. What is the remainder when ((-16)\/(-7))\/(5 - (-19539)\/(-3913)) is divided by a?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 1\/208 (c) 0.2 (d) -13688\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 26 = -2. Let z be (y\/(-40))\/(251\/2239). Let a = z + -2\/251. Which is greater: 1\/4 or a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -9 + 16 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 18*m - 28. Determine h(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-27))\/(2 - -1)*(-1068 - -1074). Which is the second biggest value? (a) k (b) -960\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = 6*b - 5*b, 3*d + 5*b + 25 = 0. Solve 2*v - 2*s - 8 = d, -4*v + 2*s = -3*s - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxxyxyyyyxxyyyyyy. What is prob of picking 2 y?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1485*k - 850 = -737*k - 731*k for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292)*-3 + 0 - (-3 + (sqrt(1872) - ((sqrt(1872) - 2*(sqrt(1872) + 0)) + sqrt(1872)))))**2.\nAnswer: -468*sqrt(13) + 79101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8638 in 1\/4, -20, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3626257 (base 9) to base 13\nAnswer: 53b00c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h - 44. Let k be w(3). Let g be -2 + 9\/3 + 1. Which is the closest to 0.3? (a) -3 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 256*b**2 + 90*b + 44. Let k be p(6). What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**4 + 3406 + h**4 + 67240*h**2 - 66707*h**2 wrt h?\nAnswer: -8*h**3 + 1066*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a kilogram in grams?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2 - (-22)\/(-10)). Suppose 0 = 8*z - 806 + 830. Put z, 72, g in decreasing order.\nAnswer: 72, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 10 - 24 + 415*i - 420*i + 7*i**3 as s*i**3 + r + m*i**2 + u*i and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1171 + 1203. Calculate the remainder when 167 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 12 (c) -2\/3 (d) 0.01 (e) 42.94 (f) 0 (g) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 6 - 6 + p - 4*p + 2*p + (5 - 4 + 1)*(-3*p + 0*p + 2*p) - 2*p + 4*p - 4*p + p - 2 + 2 - 2*p - 3*p + 4*p)*(p - p - p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*m**2 - 426*m**3 + 0*m - m + m - 25*m**4 + 422*m**3 wrt m.\nAnswer: -600*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-244)\/12 + (-4)\/6. Is -22 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 2}. What is prob of picking 3 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 239760911 divided by 1084891?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 8:11 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76*(-325)\/9880)\/((-10)\/(-3)*2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 181*f**2 - 6475*f - 28812.\nAnswer: -(f - 686)*(f - 42)*(f + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 117 = 42*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 2 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 178*k - 224*k + 111*k - 3770 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by 5?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4122, -4105, -4086, -4065, -4042?\nAnswer: -4017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 35661*d**2 + 35660*d**2 - 14*d - 3*d to the form p*d + l + b*d**2 + y*d**3 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 321*v**7\/35 + 1043*v**5\/60 - 2*v**2 + 1297. What is the third derivative of b(l) wrt l?\nAnswer: 46224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*w + 31*w - 13 + 14 - 38*w - 8 + 5.\nAnswer: -218*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5076 + -5079. Suppose -v - 3*v - 4 = 0. Let c(f) = 3*f**2 - 2*f - 1. Let j be c(v). Put 1, -4, a, j in descending order.\nAnswer: j, 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 19*x - 3*g = 39*x + 5, 12*g + 5 = -5*x + g for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 163 = -l + 21, -65 = -m + 2*l. Suppose 4*x - 56 = -h, -4*x = x + 2*h - m. What is the first derivative of -x*q**4 + 8*q**4 - 29 - 16*q**4 wrt q?\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3685, 7185, 10687, 14191?\n\"Answer: o**2 + 3497*o + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -52*t + 6. Let h(i) = 37*i - 4. Let q(z) = -2*c(z) - 3*h(z). Let w(g) = -655*g**2. What is w(q(m))?\nAnswer: -32095*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:24 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -110\/5469 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 32*z**3 + z**2 + z - 1. What is the smallest common multiple of 33 and f(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from cos.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + 96.6. Let d = h + -97.000271. What is d rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (-496)\/(-32))\/(8 - -39)\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 227373415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10 = 3*x + 57, 2*p - 30 = -2*x. Suppose -5*k - p = -7*k. Calculate the remainder when 81 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 m when three letters picked without replacement from {i: 1, u: 1, m: 1, v: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55887 or 4799?\nAnswer: 55887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13531, -26751, -39973, -53197, -66423, -79651?\nAnswer: -92881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5924824.\nAnswer: 2, 740603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12198323777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -441 in ascending order.\nAnswer: -441, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - -42) + (13 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 6, 7, 8, 9, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1331) + sqrt(1331) + -2) - sqrt(1331) - (2 + sqrt(99) + -2))**2.\nAnswer: -3504*sqrt(11) + 234620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -66*r**2 - 12. Let x(u) = -4879*u**2 - 884. Let k(f) = -442*p(f) + 6*x(f). Let t(s) = -9*s. Calculate t(k(w)).\nAnswer: 918*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -153?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60735909 plus -0.1?\nAnswer: 0.50735909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 4*r + 2. Let b be g(3). Suppose 3*u = -b*u + 165. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let j(y) = y. Let l(u) be the second derivative of u**3\/6 + u**2\/2 - u. Let v be l(-6). Let b be j(v). Determine a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*v**3 - 4*v**3 - 22*v**3 - 2*v**3 + 0*v**3 + v**3 + (-2*v**2 + v - v)*(1 - 1 + 2*v) + 2*v**3 + 0*v**3 + v**3.\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 6*v**2 - v. Suppose 0 = -3*l - 9, 2*l - 2 = -2*t + 6*l. What are the prime factors of y(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77788*a*t**4 - 7*a*t - 8*t**5 - 26902*t - 1 wrt t?\nAnswer: -933456*a*t**2 - 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 598997097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (-5 + (sqrt(25)\/(sqrt(20)\/sqrt(4)) + -2 - (-2 + sqrt(245))*-1))**2)*-6.\nAnswer: -864*sqrt(5) + 2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.48 - -0.52. Put -0.05, -5, o in descending order.\nAnswer: o, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 + z**4\/12 - z**3\/6 + z**2\/2 - z. Let q be y(2). Let n = -3 - q. Solve -n*d = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27876 and 7268?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28702146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -4, 31, -44, 14, 8 in descending order.\nAnswer: 31, 14, 8, 1, -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84256\/6 - (-6 + 80\/12). Suppose 21*y = 7*y + g. Calculate the greatest common divisor of y and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62.691 + -40.682. Let n = 34 - 56. Let s = n + j. Round s to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*y + 752*y + 54 = 0. Calculate the remainder when 345 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166706 (base 9) to base 4\nAnswer: -121033002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0 + 96*u + 0*u**2 + 0*u**3 + 1\/12*u**4. Let x(o) = 40*o - 2. What is x(c(f))?\nAnswer: 40*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzw when four letters picked without replacement from {k: 2, z: 4, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 26 = -3*o + 4*y, 0 = 5*o + 4*y + 6. Let i = -1 + 2. Suppose 0 = -3*p, -o*g + i = 5*p - 3. Calculate the remainder when 5 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 4 (b) -0.01 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x = 438 + 548 - 176 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*5 + sqrt(176) + (sqrt(550)\/sqrt(10))\/sqrt(5).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2585 + 2598. What is the highest common factor of p and 7111?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14 - 6 = 0. Let q be (35\/(-10) + 3)*-10. Calculate the highest common divisor of c and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddjjjdvdrjddvvmdivr. What is prob of sequence idd?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 9*z + 54. Suppose 0 = -2*m - 33 + 41. Let r be b(m). Solve 5 = i + j, r*i + j = 6*j + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3967 in 3, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 285735.8 * 2.\nAnswer: 571471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1702 and 554781367.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1500*h - 780*h - 6668*h - 6246*h + 251*h)*(0 - 5 + 4)*(3 + 6 + 1) in the form v + y*h and give y.\nAnswer: 119430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:47 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833 = 399*z + 12840 - 506 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 - 6 - 3*j + 3*j + 13. Let g(s) be the second derivative of -5*s**4\/12 + 3*s**2 - 30*s. What is 6*f(r) - 7*g(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 117, 206, 297?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + c**4 - 3)*(-40 + 62 + 60) to the form i*c + j*c**4 + q*c**2 + k*c**3 + u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 30 = m - 6*m, 2*j = -4*m + 18. Suppose j*t + 7*y - 2*y = -74, -5*y = 5. Is (t\/(-3))\/((-1)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*g + 4 - 18, 3*g - 9 = s. What is the units digit of g*((-100)\/(-8) - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2782 divide 20225140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/2)*((o**(-2)\/o)\/o)\/o*o)\/(o**(-2\/7))**48)\/((o\/(o*o**1))**(-50)\/(o**(-2\/5)*o*o**(-5)*o)) assuming o is positive.\nAnswer: o**(-3023\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.422 - -0.822. What is the nearest to 2\/5 in -2, -4, i, 2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 38?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 19. Let y be d(6). Suppose k - y*z - 30 = 0, 4*z - 25 - 8 = -3*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2303 (base 13) in base 15?\nAnswer: -6d00b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0390169 to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011241 to seven decimal places.\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(6\/11)\/(n*n*n\/(n*((n*n**5)\/n)\/n*n)*n*n*n**6\/n) assuming n is positive.\nAnswer: n**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*a - 41*a - 41*a - 10*a**3 - 78*a + 4*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72711*y = -71425*y + 167180 for y.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 720, 726, 722, 702, 660?\n\"Answer: -m**3 + m**2 + 10*m + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101644 * 1.62\nAnswer: 164663.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16836975 is divided by 1009?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(3 - 3 + 1)*(5*l**4 - 2*l**4 - l**4).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95066*o - 13*o**3 - 47675*o - 47386*o - 9*o**3.\nAnswer: -22*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130550153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -872, 4 in descending order.\nAnswer: 19, 4, -872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -7*k**3\/3 - 11*k**2\/2 - 30*k + 3. Let t be g(-4). Let s = t - -487. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*w - 1, 5*c - 5*w + 65 = 0. Calculate the remainder when 28\/c*24\/(-2) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 7. Let w(h) be the second derivative of h**5\/20 + h**4\/3 - 3*h**2\/2 - 2*h. Let l be w(-3). Calculate m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 839928938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 2*m - 2. Let o(d) = 25*d**2 + 11*d - 11. Let u = -6 - -8. Let z(v) = u*o(v) - 11*x(v). Let a(g) = -g**2. Give a(z(k)).\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2496\/(-4680))\/(2\/(-5))*63\/(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -130211?\nAnswer: -130211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-154))\/(37\/259)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 14 - 8 + 18*y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 340 = -2*c, 0 = -3*y - 2*y + 10. Calculate the remainder when c is divided by (-4)\/((-60)\/125)*3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -0.5, -2\/69, -6.0154?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.434108825 - -0.4341. What is q rounded to 7 dps?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 35*n**2 - 227*n + 11. Calculate k(-10).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t. Let r(j) = -40409*j. Give 4754*p(x) - r(x).\nAnswer: 2377*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a - m = -36*a + 87*a - 3, -5*a + 90 = -16*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/9 - 4*w**3\/3 - 14*w**2\/9 = 0 for w.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15442294 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let y be ((-3)\/v)\/(6\/8). Suppose -21*f = -25*f + 16. Sort y, -4, f in ascending order.\nAnswer: -4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhb when three letters picked without replacement from hbzkbbibbyhhyih?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12519 divided by 6?\nAnswer: -4173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3)\/u)\/u*u\/(((u\/(u\/((u\/((u\/(u\/(u*u\/(u*(u\/u**2)\/u)*u*u)*u)*u*u)\/u*u))\/u)))\/u)\/u)*(u**(-3))**(-1\/51))**(9\/10))**21 assuming u is positive.\nAnswer: u**(13041\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -471, -716, -923, -1080, -1175, -1196?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2*r + 4412769*p + 4456845*r wrt p.\nAnswer: 4*p*r + 4412769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -17. Solve 0 = -d*i + 13 + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqmx when four letters picked without replacement from qqxqmuqqcmm.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Let b(r) = -r + 2*r + f*r + 7. Suppose 2*q - 12 = -4*g, -4*q + 4*g - 8 = -7*q. Determine b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/40)\/(2\/176) - 2\/10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 3. Let f(d) = -2*d + 5. Determine -6*f(z) + 11*u(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgmggjgmmmmm. What is prob of picking 1 j, 2 g, and 1 m?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432\/324)\/(2\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/21))\/l*l**1*l)**(10\/9)*((l\/l**(-2\/9))**29)**(2\/63) assuming l is positive.\nAnswer: l**(1958\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095496833 a multiple of 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 70*v**2 - 7*v + 5. Let s be n(1). Calculate the greatest common factor of 170 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 106 - (-2 + (-2)\/(-1)). Suppose -l*t = -108*t + 3212. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 1.98. Let j = 3 + k. Let z = 1 - 1.5. What is the nearest to j in z, -1\/5, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4785507*w**3\/2 - 282355017*w**2 + 3576848*w\/3 - 3776\/3.\nAnswer: (w - 118)*(3789*w - 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 91*v**2 - 295*v**2 - 43*v**2 - 102*v**2 - 170*v**2 as z + h*v**2 + s*v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77223\/4 or -19305?\nAnswer: -77223\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 6\/5*s + 69\/10*s**2 - 109 + 11\/5*s**3. Factor b(h).\nAnswer: 3*(h + 2)*(11*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o + 9. Let f(t) = -6*t - 9. Let u(y) = 12*y + 19. Let q(r) = -9*f(r) - 4*u(r). Let a(m) = -5*p(m) + 9*q(m). Let v(b) = 2*b**2. What is v(a(s))?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 4*r - 34 = 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/22 + 185870\/(-61600) - 3\/(-1) and -5\/784.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (6 - (-325)\/(-5))*(-17 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 5*a + 6. Give w(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + -3))*-5 - (sqrt(275) + -3 + 4))*-5.\nAnswer: 80 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1535 + 851. List the prime factors of p.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350736661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/630 - 29*p**4\/126 + 841*p**3\/63 - p**2 + 10*p. Factor m(r).\nAnswer: 2*(r - 29)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 5*s + 2*y - 133, -5*s + 2*y - 58 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 5*m + 3*m - 3*m + 532*m**3 + 8*m.\nAnswer: 532*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -236, -248, -264, -284, -308?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 20*c**2 - 46*c - 13. Let r be l(-5). Let g = 9 - -6. Suppose 19*k - g*k = r. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71949)\/(-348) + -205)\/(1\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21727, -43394, -65025, -86602, -108107, -129522, -150829, -172010?\nAnswer: -193047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 6*t + 8*t)*(-2 + 6 - 2)*(t**2 - 4*t**2 - t**2).\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u*u**(-6)*u*u)\/((u**(5\/3)*u*u)\/u**(2\/9)))**(-2\/9) assuming u is positive.\nAnswer: u**(116\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {b: 1, f: 2, a: 2, l: 2, m: 1, h: 10}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Is 1\/3 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 4, i: 1, m: 5}. Give prob of sequence if.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 10:54 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94 and 443.76.\nAnswer: 349.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, 1\/16, -0.5, 0.5 in decreasing order.\nAnswer: 0.5, 1\/16, -0.5, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(-4)\/6. Let b(h) = 6*h - 1. Let g be b(1). Suppose 3*x = 4*d + 5, 0 = -x - 0*x + 4*d + 15. What is the nearest to o in g, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = n - 6 + 17, 5*b + 30 = -5*n. Let z(x) = -x**2 - x - 1. Let f(t) = 6*t**2 + 4*t + 3. Let v(j) = f(j) + 2*z(j). Calculate v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118287, 118286, 118285, 118284, 118283?\nAnswer: 118282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/133084 and -131\/1069278.\nAnswer: 1452079524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 892421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i - 11. Let g(u) = -u**3 + 6*u**2 - 5*u - 4. Let x be g(4). Suppose x = -5*l + 4*l. What is o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1617732 by 6.\nAnswer: -269622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 295 * -0.2.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2. Let s(c) be the second derivative of -1\/4*c**4 + 0 - 11\/2*c**2 + 10*c + 0*c**3. Let j(u) be the first derivative of s(u). Calculate d(j(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -13*o**2 - 5\/12*o**4 + 0*o + 0*o**3 + 0 + 1\/12*o**5. What is the second derivative of w(z) wrt z?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*y + 159 = -d, 3*d + 5*y - 133 = 0. Let i = 10 + d. Suppose 5*o - 24 - i = 0. Calculate the highest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwawnawawamwmam?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/(-12)*-59 - (-3)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5 - 89*n**4 + 1840*n**3 + 6344*n**2 + 368*n - 8464 = 0 for n.\nAnswer: -2, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 393\nAnswer: 8\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13035533 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Work out 6537275.64 - -383.05.\nAnswer: 6537658.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 - -196. Let u = -93 + y. Let h = 35.8 - -10.2. Which is the third smallest value? (a) h (b) -2\/19 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 27*w = -2*w + 330 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. Suppose -j*f + 5 = -2*b - 138, 36 = f - 3*b. Let z = f + -19. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4163 by -4.\nAnswer: 4163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o\/(o\/(o**2\/o)))\/o*o*o)\/(o**(-1)\/o)*o**(-4\/3)*o**(-1\/6) assuming o is positive.\nAnswer: o**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 1\/50*u**5 + 7*u - 1\/5*u**3 + 0*u**2 + 23 - 1\/15*u**4. Let s(m) be the first derivative of b(m). Factor s(d).\nAnswer: 2*d*(d - 3)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(0 - 0) + 24. Let w be (1\/2)\/(8\/16). Let m be 4\/(-10)*(-150)\/w. What is the greatest common divisor of m and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 2*u)*(2*u + 0*u - 3*u)*(-3*u**3 + 2*u**3 + 0*u**3) - 19 - 2*u - 3*u**5 + 47*u**5 - 48*u**5 - u**2.\nAnswer: -5*u**5 - u**2 - 2*u - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92711 + -63923. What are the prime factors of j?\nAnswer: 2, 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.91 - 2.09. What is the third smallest value in -1, i, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Suppose -t = -3*j + 2*a - 9, -4*a + 16 = 2*j. What is the tens digit of 1\/1 - (-14 + j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*v - 4*w - 217, -5*v - 4*w = -245. Let r = 42 - v. Put -1, 4, r in increasing order.\nAnswer: r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*k - 128 = 0, 0*k + 164 = 5*y - k. Is (-1)\/(-3) + 36982\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21715 is divided by 7194?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.12 + -24.62. Let c = 5.85802202 + -29.35804292. Let t = c - u. What is t rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 13*h = 9*h - 282, 4*r - r + 2*h - 113 + 261 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5 - 27*c**4 - 138*c**3 + 586*c**2 - 645*c + 225 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -402, -416, -422, -414, -386?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4500723 equal to -4500653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 125761548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u + 4*f = -28, 3*f = 2*u - 19. Suppose 0*r - u = -r. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1670.5814 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, p: 1, q: 2, c: 4}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -42, -38?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12092328487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 1)*(107 + 32*g - 107) + g + 0*g - 3*g.\nAnswer: -98*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260.9 - 261. Which is the closest to 9? (a) -4 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 13*j + 11. Let l be i(-6). Round l to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371509*i**2 - 1304366*i?\nAnswer: -743018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*s - 0*r + 126, 3*s + r - 136 = 0. What is the second derivative of s*v - 70*v - 5*v**5 - v**3 + v**3 wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*v**2 - 190 with respect to v.\nAnswer: 418*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + 2*x**3 + 4*x + 18 - x**3 - 13 - 2*x to d*x**3 + r + n*x + w*x**4 + z*x**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 9 = -7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36015 = -3*u + 5*q, 2*u - 47985 = 6*u + 5*q. What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5295 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v**2 - 1 + 2906*v + v**3 + 15*v**2 - 9*v**2 - 43*v**2 + 15*v**2 to s*v + m*v**3 + k + u*v**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 3 + 0 + 9 + 12 to r*a + c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 17. Let w(y) = y**2 + 15*y - 8. Suppose 3*v = 4*t + 69, -v = 3*t - 3*v + 51. Let r be w(t). What is the remainder when 17 is divided by u(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.394348876 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0\/6 - -1)\/(-1). Solve p = 3*u - 8 - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39707.00871 rounded to the nearest ten?\nAnswer: 39710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 4. Let d be b(-3). Let p = 17 - d. Suppose -y - x - 7 = -p, 5*x = 2*y - 29. Solve y*r = 7 - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -263*v**3 + v**2 - 20*v + 17. Let s(g) = 132*g**3 - g**2 + 8*g - 8. Let j(t) = 2*k(t) + 5*s(t). Find the third derivative of j(y) wrt y.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:37 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5641.721um?\nAnswer: 0.005641721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q - 146. Determine t(12).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304\/785 + 2\/157. What is the third biggest value in d, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*b + 6*c - c + 1130 = 0, 5*b - 11*c - 20 = -6*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354522 divided by -106?\nAnswer: -677261\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -433*b + 64. Let j be y(-18). Let q = j + -3021. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-10) + (-94)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 15. Suppose -3*p + 30 = -b + 5*b, -3*p = g*b - 27. Let -16*m**4 + 3*m**2 + 9*m**4 + p*m - 6*m**3 + 4*m**4 = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 853 - 993 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.696166*0.2\nAnswer: -0.1392332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127160 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1401287, -2802562, -4203851, -5605160, -7006495, -8407862, -9809267?\nAnswer: -11210716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 2190025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*i = 1231*i + 75530 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -716 - -329. Which is bigger: -389 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 3, e: 8, t: 2}. Give prob of picking 2 e, 1 h, and 1 a.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/2, 13, -5.\nAnswer: -5, 0, 1\/2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.021 + 2. Let q = s - -0.064. Let p = q - 0.0429942. What is p rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6922, -14535, -22150, -29767, -37386?\nAnswer: -45007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 681120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-183)\/6)*196\/1617 + 4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(440))\/sqrt(10))\/((sqrt(12)\/sqrt(3) + sqrt(4))*4 + sqrt(4)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in -0.01, 5, 1\/63, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:13 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90728*o + 3 - 271273*o + 89831*o + 89411*o - 3.\nAnswer: -1303*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.68 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3\/3 + j. Let m(d) = 3*d + 2. Let h(v) = -9*v - 7. Let t(s) = 2*h(s) + 7*m(s). Give k(t(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5452016 to the nearest integer?\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/45901 at most as big as -130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-441)\/(-14))\/9 - 5)*44\/(-6). Solve 0 = 4*o + 5*p + 5, 5*o - 1 = -5*p - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -218696*v**2 + 8. Let z(k) = k**2. Give n(z(o)).\nAnswer: -218696*o**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:24 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 192 or -87864\/29?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/19 + 12500*p**2\/19 - 301026*p\/19 + 790524\/19 = 0.\nAnswer: -6274, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133) - sqrt(133)*-1)*-4)\/(-2*(sqrt(175) + 1*sqrt(175))).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -923.\nAnswer: -5\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 1, n: 1, r: 10}. What is prob of picking 3 x and 1 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-3 - -7) + -6) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 11*t**2 + 5*t - 2. Let b be p(-3). Solve -b = 8*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -85.972. What is l rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 3566736 + 3566736.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -827 + 899. Calculate the least common multiple of o and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-45)*38\/((-836)\/99))\/((-3)\/30)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1222.9998299 - -1223. Round k to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137126, 274254, 411382, 548510, 685638, 822766?\nAnswer: 959894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60048225.\nAnswer: 3, 5, 37, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -38. Suppose -4*i = -3*i - o. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -42 - (5 - -1 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15241, 30819, 46381, 61921, 77433?\n\"Answer: -p**3 - 2*p**2 + 15591*p - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -3\/5, -2\/19?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*k + 3*n, 91*n + 16 = -2*k + 95*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 2 = 0. Let l = 263 - 256. Suppose l = 2*z + c, -5*z - 4*c = -2 - 20. Solve 15 = -4*u - v, -j*v - v - 15 = z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 10 (b) 5 (c) -44 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1068 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etssh. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637858 = 322*y - 627232 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243) + sqrt(243) + -5 + 0 + sqrt(3) - (sqrt(3)*3 + 2 + sqrt(15)\/(1*sqrt(5))))**2.\nAnswer: -240*sqrt(3) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*f + 13, y - 3*f + 23 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z + 2*s - 22 = 0, 4 = 3*z - s. Suppose -3*w + 2*w + 230 = -2*d, 3 = -z*d. Let h = w + -149. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 - c + 2. Let h(y) = -3*y**2 - 1. Calculate -4*a(x) - 9*h(x).\nAnswer: -x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.837 * -0.5.\nAnswer: -3.4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e6b (base 16) to base 7.\nAnswer: -46434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 5 in decreasing order.\nAnswer: 5, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 73 = t + 3*p, 4*p = -5*t + 301. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1298\/8307?\nAnswer: -1298\/8307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -5) + -5 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.208495um to kilometers.\nAnswer: 0.000000007208495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)*r**4*r assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 969\/15 - (-4)\/10. Let w = u - 65. Suppose w*a + 542 = 5*q + 4*a, -5*q + 3*a = -537. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 10:12 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 36, 100, 190, 306, 448?\n\"Answer: 13*k**2 - k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2242 = -652*c - 671*c + 1382*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 9917*d + 0.\nAnswer: 9917*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 355 = 12*i. What is the remainder when i is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3435 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.137088*0.2\nAnswer: 0.0274176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 2*k - 7, 2*q + 4 = 3*k. Suppose b = 4*w - w - 58, 5*w - 108 = -k*b. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6266*a - 41957.\nAnswer: -6266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -680, -669, -656, -641, -624?\n\"Answer: g**2 + 8*g - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5) + 4 + (-10 - (-9 + 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9*h - 364 = 13*h, 2*k + h - 173 = 0. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.00000012 + 2. What is b rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from kmorjko?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19710 + 4352. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123996 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184860 and -1.\nAnswer: -184860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58098 - 58088.4853. Let n = c - 9.47. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*f - 2*f - 19546, 4*f = 4*z + 26072. Let w be (1 + 1\/(-2))*f. Suppose -i + w = 2*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1926 is divided by 412?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 17*y**2 + 4*y - 5. Let v(f) = -16*f**2 - 3*f + 4. Let k(j) = -3*q(j) - 4*v(j). Let l be k(-1). Calculate the greatest common factor of l and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, z: 3, m: 1, d: 2, i: 2, t: 1}. Give prob of sequence md.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - 5*g - 3. Suppose -4*m + 2*d = -4, -8 = -0*m + m - 5*d. Let f(j) = -j - j**2 + 2*j - j**2 + j**m. Let l(r) = 3*f(r) - y(r). Calculate l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -198169*i - 2576257. Calculate d(-13).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 6179?\nAnswer: -6195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1431 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 521*p + 588*p + 40*p - 252*p to the form g*p + w and give g.\nAnswer: 897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*w - 581*a + 142*w**2 with respect to w.\nAnswer: 3*a + 284*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 2634977*g\/2 + 2634978.\nAnswer: -(g - 2)*(g + 5269956)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -4, 1, -5, 4, 10, -23 in descending order.\nAnswer: 10, 4, 1, -4, -5, -23, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6532 - -11272. Is w a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 612771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16*t**2 + 37*t + 261. Is j(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-6)\/(-2*12)*-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 167. What is the tens digit of g + -1 + (3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (100\/35)\/4 - 2\/(-7). Calculate the least common multiple of 32 and (51\/(-68))\/(1\/(-24)*n).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.591954 to two dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 212*w - 12 + 11264*w**2 - 11265*w**2 in the form q*w + f + h*w**2 and give q.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 79*d**3 + 7*d**2 - 4*d + 11. What is t(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530370839 is divided by 1227?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 8902868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 102122012010000?\nAnswer: 102122012010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13963.92mm to kilometers.\nAnswer: 0.01396392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 - -223. Let o = 105 - s. Let p = 0 - 0.2. Which is the closest to o? (a) p (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/8 - o**3\/2 + 2*o**2 - 4*o. Let s(w) be the first derivative of a(w). Differentiate s(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 13*u**2 - 8*u - 9. Let t be k(-6). Suppose y = t*y - 16. Suppose 7*l - 26 = y*l. What is the third biggest value in 5\/3, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r**2 - 3*r + 6. Let y(c) = -23*c**2 + 5*c - 12. Let t(o) = 3*y(o) + 5*z(o). Let x(k) = 17*k**2 + 11. Determine 11*t(g) + 6*x(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-6) + (-68)\/9 and 26\/(572\/110) - (-213)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4012 rounded to two dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 58 = -11*m. Solve 13 = -m*t + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -16*q**3 + 2*q - 5. Let n be f(-3). Suppose -6*w + 461 = -n. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 41*a + 43*a - 30282 = 0, -3*m + 22714 = -a. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 448 - 879\/2. Let f = -10 + w. Suppose 2 - 17 = 5*s. What is the biggest value in f, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -72, 53, 58 in ascending order.\nAnswer: -72, 5, 53, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*p + 890 = 0, -2*l = -p - 3*p - 470. Suppose 116*a = 119*a - 468. Suppose 3*g - a = 2*s - 41, -5*s + l = 5*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199*j - 1 + 1066*j**3 + 1 + 1199*j.\nAnswer: 1066*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52728.29 days in hours?\nAnswer: 1265478.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asaa when four letters picked without replacement from saasbbbasp.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0880622 times -2\nAnswer: 0.1761244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 3*t**2 + 3*t**2 - t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-10))\/(30\/75)*-14. Suppose -k*d = -2*d - 200. Suppose -d - 38 = -2*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/189? (a) 5 (b) -1 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 16934.\nAnswer: -186274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 = 36*f - 100 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 158. Suppose 2*f + p*j = 646, 0 = -f - 0*f - 2*j + 319. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1199*a + 18019. Determine g(15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -31013 smaller than -31016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 at most -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g - 1. Let k be t(0). Let i be k - ((-2)\/2 - -1). Let m(f) = f**3 + 13*f**2 + 11*f - 11. Let r be m(-12). Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)\/p**5*(p\/(p**14\/p*p*p*p*p))\/(p\/(p*p**(1\/7))) assuming p is positive.\nAnswer: p**(-431\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/108 - 23*i**3\/54 + 4*i**2\/3 - 135*i. Factor b(d).\nAnswer: -(d - 1)*(d + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 575458.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, v: 1, w: 1, c: 1, g: 1, y: 2}. Give prob of sequence vyg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1030 and 618.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677198, -2708798, -6094800, -10835204, -16930010?\nAnswer: -24379218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and -19317.\nAnswer: -1641945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x + 6*x**2 + 0 + 4 - 11*x**2 - 2. Let t(u) = -24*u**2 + 24*u + 10. Give 3*t(o) - 14*v(o).\nAnswer: -2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.233? (a) 3\/152 (b) -0.01 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2134, 2091, 1686, 739, -930, -3501, -7154, -12069?\n\"Answer: -30*f**3 - f**2 + 170*f + 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -117. Factor 0*z + 0 + 2\/7*z**i.\nAnswer: 2*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35710183\/8190 + 39241\/9. What is the common denominator of f and 33\/40?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2 + 0 + c + c. Let j be m(3). Suppose j*a - 4*s = 88 - 4, -4*s = 5*a - 141. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let j(h) = 0*h**2 + 0*h + 0*h - 2*h**2. Determine o(j(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 24 = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61ba8 - -2a?\nAnswer: 61bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifths of a minute?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, p: 3}. What is prob of picking 3 w and 1 p?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*v + 5, -1763 + 1761 = -3*v - 4*w. Solve 0 = v*h + 4*q + 7 - 15, -3*h + 12 = 4*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2*3\/(-18). Let d(b) = 4*b**2 - 5*b. Let p(g) = -g**2 + g. Let i(j) = m*d(j) - 5*p(j). Let n(z) = -7*z**2 - 3*z**2 + 9*z**2. Calculate i(n(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8) - 175\/(-140))*10*(-6)\/705\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 5*f - 302. What is the least common multiple of f and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298016 and 48?\nAnswer: 894048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - 1)) + -6 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27440 and 6720.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-16)\/(j\/(((j\/(j*j\/(j\/(j*j*j\/((((j\/j**33)\/j)\/j)\/j*j)*j))*j))\/j)\/j)) assuming j is positive.\nAnswer: j**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 - 47. What is the remainder when 185 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 7. Let o be j(1). Let f(g) = -4*g + 26. Let u be f(o). Suppose u*w = 7*w - 445. What are the prime factors of w?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 2*t - 37 = 4*h, 0 = -5*h - 2*t + 53. Put -0.3, -2, h in decreasing order.\nAnswer: h, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-5 + 4 - 1)*(-35*u + 21*u - 18*u).\nAnswer: -128*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (3 + 39\/6)\/((-192)\/(-3072))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 90*q + 735. What is the remainder when 197 is divided by m(8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/4 + 2365*s**3 + 815363*s**2\/4 - 206206*s = 0.\nAnswer: -9373, -88, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1026537 (base 9) to base 5.\nAnswer: -120040001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33336, -33335, -33324, -33297, -33248, -33171?\n\"Answer: s**3 - s**2 - 3*s - 33333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, -2, -79, -206, -395, -658?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t + 43463 - 74560 = -41737 for t.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 306. Suppose -5*z - 183 = -8*g + 6*g, z + 33 = 4*g. Does 13 divide b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/37 + -17\/481. Sort h, 1, 0.5 in decreasing order.\nAnswer: 1, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 92*c**2 - 88*c - 458. Calculate the remainder when 1749 is divided by r(93).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0616198 rounded to three dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 15*q + 10. Let n(l) = -l**2 - l. Suppose 1 = z - 1. Let b(f) = z*n(f) + s(f). Is b(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 9178778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227*m**2 - 27*m**2 + 29*m**2)*(2 + 3 - 4 + (-1 + 0 - 1)*(-2 - 4 + 0)).\nAnswer: -2925*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 500829, 206, 0 in descending order.\nAnswer: 500829, 206, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -0*h. Suppose -6*t + 5*t + 1 = h. Let d(c) be the third derivative of 3*c**6\/40 - c**4\/24 + c**2. Calculate d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418867 (base 10) in base 8?\nAnswer: -1462063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 197.1?\nAnswer: -236.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-3703)\/(-92)))\/((-60)\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 51*n - 62 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 2. Let y be m(-5). Suppose -6*h + 3*h + 12 = 0. Suppose 2*g + h = -2. Put 5, y, g in decreasing order.\nAnswer: y, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -118. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103.8 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5353822 * 0.08\nAnswer: 428305.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116246720.\nAnswer: 2, 5, 363271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -99. Let j(f) = f**2 + 4*f - 1. Let k be j(-5). Does 26 divide k*p\/((-9)\/(-33))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*s**3 + 54*j*s - 105*s**4 + 2*s**2 wrt s.\nAnswer: -18*j - 2520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-22)*((3 - 1) + -64)*-24. Solve 14*f - 814 = -c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/418 and 51\/12958.\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 566, 1099, 1632, 2165, 2698?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(39 - 20*d**4 - 39) + (-d**3 + 0*d**3 + 6*d**3)*(4*d + d - 4*d) in the form w*d**2 + h*d**3 + a + s*d**4 + o*d and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**9\/3024 + s**5\/24 + s**4\/2 - 3*s. Let d(t) be the third derivative of x(t). What is the derivative of d(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.83 * 709.\nAnswer: -31784.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31044.\nAnswer: 2, 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2748 * -0.8971.\nAnswer: -2465.2308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000170737 rounded to 7 dps?\nAnswer: -0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 14, 4, -8993?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*t + 7 - 7 + (0 + 1 + 2)*(2*t + 0*t - t))*(t**2 - 6*t**2 + 4*t**2 + (2 - 2 - 2*t)*(t + 0*t + 0*t)) to the form y + r*t**2 + j*t + n*t**3 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-21 - ((-5 - -3) + -4)). Let u be ((-14)\/(-105))\/(10\/v). Factor 8\/5 - 2\/5*i**u - 6\/5*i.\nAnswer: -2*(i - 1)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27 and -43\/217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-18\/5)\/m)\/m)\/(m*m**(-6)))\/(m**25)**(-5\/2) assuming m is positive.\nAnswer: m**(619\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (75\/210)\/((-172)\/(-602)). Suppose 3\/2 + l*i + 1\/4*i**2 = 0. What is i?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-1*5 + 1*sqrt(88)*2)\/((sqrt(96) - (sqrt(96) - -3*(-1*sqrt(96) - sqrt(96))))\/sqrt(12)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2. Let f be l(2). Suppose g = 6*p - f*p + 4, 0 = -5*p. Suppose -m + 9 = g*k, 8 = -5*k + 3. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -2*g**3\/3 - 123. Let b(q) = 3*q - 12. Determine t(b(f)).\nAnswer: -18*f**2 + 144*f - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1. Suppose 2*i = 3*i - 1. Let f(r) = -2 + i - 3*r + r. Determine f(k) + 3*t(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + 98\/6. Let a = -9 + v. Let q(g) = -4*g**3 - 2*g**2 - 3. Let p = -13 + 8. Let z(r) = -6*r**3 - 3*r**2 - 4. What is a*q(w) + p*z(w)?\nAnswer: 2*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9 = -3*z - 12, 5*z - 3*n + 6 = 0. Let t be 3 - (z - (-10)\/2). Does 13 divide 76\/(4 + t + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 - 5 = 0. Is 1 + w + 3 - -6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 8 - 8 = -3*x, 0 = 4*x - h - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3771 and 29243267?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4745, 9489, 14233, 18977, 23721?\n\"Answer: 4744*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 12*b**2 + 28*b. Let i be o(14). Let q(y) = y**3 + 8*y**2 - 8*y + 12. Let k be q(-9). Let v(u) = 9 - k*u + 2*u + 6*u - 4*u. Give v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/33 and -67\/474.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 - 3*m - 2. Let x be d(6). Suppose x = 3*k - 2. Let z = -17 - -18. Solve -a = -z + k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 10*t + 4. Let g be s(8). Let j be ((-14)\/(-28))\/(2\/g). Is 12 a factor of (2 + -5)\/j*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-366)\/(-1647) + 10\/9*2\/(-4))*-48.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-15))\/(2\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g + 6. Let a(b) = -3*b - 6. Let i(c) = -3*a(c) - 2*d(c). Let r be i(-8). Let k = r - -6. Let o(y) = -y**2 + 2*y + 3. Give o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654071 is divided by 474.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488220.\nAnswer: 2, 3, 5, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 4*q - 12. Let d(k) = 4*k**2 - 5*k - 15. Let x(l) = 4*d(l) - 5*n(l). Let t(y) = -7*y - 9. Give t(x(c)).\nAnswer: -7*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*124\/155.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - -36 - (1 + (0 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 455333360 <= 455333359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-13)\/117). Let p be (-34)\/j*63\/(-6 + 3). What is p rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 1, l: 2, z: 6, n: 4, o: 1}. What is prob of picking 1 l, 1 z, 1 n, and 1 v?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 2. Let t be g(2). Let h be t\/8 + 2\/(-4). Suppose 5*n - 7 - 13 = h. Solve -6*s + n*s = 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -12 - 2. Let l(p) = -p**3 + 9*p**2 - 2*p + 21. Let d be l(9). Suppose -17 = -d*u - i, -5*u = -3*u - 5*i + 17. Put u, -1, h in decreasing order.\nAnswer: u, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - 2816?\nAnswer: -2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - w - 3555, 5*y + 1039 = w + 5483. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 3*p - 6. Let f(i) = 4*i**2 + 9*i - 9. Let s(g) = -2*g - 1. Let x(t) = -f(t) - 2*s(t). Give -11*q(h) - 6*x(h).\nAnswer: 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60278958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1317 + 129 = -4*t. Let h = t - 292. Solve b - 4*b + h*w + 35 = 0, 3*b = -3*w + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4309*q**4 - 368*q**2 + 2*q?\nAnswer: 103416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/3*(-13)\/13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -28. Calculate the highest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-15))\/(-6)*0*(-35)\/560.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2474624508 to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -165724038 minus -1?\nAnswer: -165724037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.4 (b) -1.8324 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.76 - -0.91. Let t = 0.06 + 0.09. Let h = d - t. Which is the second biggest value? (a) h (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 21323892?\nAnswer: 106619460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -30?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c - 6\/7*c**2 - 60\/7.\nAnswer: -6*(c - 5)*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**4 + 7*f**4 + f**4 + 3*f**3 - 2*f**2 - f**3 in the form w*f**4 + u + x*f**2 + j*f**3 + s*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48027 and 0.5.\nAnswer: -48026.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 770*n**2 + 996*n - 2224*n**2 - 334*n**2 wrt n.\nAnswer: -3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 122405 = 5*p, h - 3*h + 122396 = 4*p. Suppose -4*z + h = -z. Suppose x = -x + z. Round x to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5556089198.\nAnswer: 2, 11, 252549509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353193453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-1 + 4 - (21 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 79110809?\nAnswer: -79110809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 4, 2 in decreasing order.\nAnswer: 7, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 147*z**2 - z - 2. Let n be h(-1). Let r = n + -141. Let k be 26\/10 - 4\/(-50)*r. Solve -6*l + k*l - 14 = -2*q, -l - 2 = 2*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 84 = -3*r, 3*s = -3*r - 0*s - 78. Let l = 26 + r. Let v be (l - -1)\/2 - -3. Which is the biggest value? (a) -3 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + v**3 + v**3)*(v**2 + v**2 - 4*v**2) + 638423*v**5 + 3*v + 12*v - 638271*v**5.\nAnswer: 154*v**5 + 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*6\/(-3) + 7. Is k*20\/24*74 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*a + 134 = 0, 0 = 5*f + 3*a - 472 + 145. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let y(d) = -6*d**2 + 8*d - 8. Let i(w) = -4*w**2 + 5*w - 5. Suppose -v - 2 = -7. Let l(f) = v*y(f) - 8*i(f). Determine l(a(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/13, 19, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-15)\/30*(-9)\/((-81)\/138).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -912588 divided by -4?\nAnswer: 228147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51502 and 22.\nAnswer: 51502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4481, 9208, 13949, 18710, 23497, 28316, 33173, 38074?\n\"Answer: o**3 + o**2 + 4717*o - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100111?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w + 39*w + 9*w.\nAnswer: 91*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**6\/6 + 76*o**5\/5 + 79*o**4\/4 - 154*o**3\/3 - 359. Factor k(g).\nAnswer: -g**2*(g - 77)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.06366346 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844, -1698, -2558, -3424, -4296?\nAnswer: -5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/((-7)\/((-189)\/(-18))). Let n = 6\/7 - 51\/35. Which is the biggest value? (a) s (b) n (c) 0.4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 76 = 5*g. Let p = g + 126. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.3, -2\/5, 1\/2 in descending order.\nAnswer: 1\/2, -0.04, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 451.\nAnswer: 30\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11615 + 1242796\/107. Let z = -29\/2889 - h. Do z and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 526, 1696, 3926, 7558, 12934, 20396, 30286?\nAnswer: 42946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1381544 + 9670807\/7. Let p = -0.1 + -0.1. Let i = -0.3 - p. Which is the closest to r? (a) i (b) -2\/9 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 11 = -s, 0 = -0*s - 3*s - 5*f + 2. Let w be -2 - -1*(6 + -5). Let y be (-1 + 7)*((-4 - w) + 4). What is the greatest common divisor of s and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((12 - 24) + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/3, -1516, -199.\nAnswer: -1516, -199, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3729 and 0.3.\nAnswer: 0.11187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 716 - 108 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 168 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146494 is divided by 2766.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39854.3723 - 39857. Let q = k + 51.6156. Let d = q + -49. Round d to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48041 is divided by 15831?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9.6 (b) 0 (c) -0.3 (d) 0.1 (e) 0.3 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401 (base 7) to base 2.\nAnswer: -11000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + 7*j - 4. What is the remainder when (6 - 57\/9)*(3 + -66) is divided by k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -9199\/3*p**3 - 5*p + 2*p**2 + 1. Let u be o(-5). What is u rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-3))\/(o\/(o*o*o*(o\/((o*(o\/(o*o**(-11)))\/o)\/o))\/o*o))*o**(-8\/7)\/((o\/(o**(-1\/17)*o))\/o) assuming o is positive.\nAnswer: o**(-976\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -627, -624, -609, -576, -519, -432?\n\"Answer: z**3 - 4*z - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 9*o**2 + 10*o - 5. What is the units digit of k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1884.1 and 15596.\nAnswer: 17480.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - -2*sqrt(220))*-4)\/(sqrt(11)*2*-2*6).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -28*z + 129. Solve 24 = z*u + 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -4*p + 16263*p**2 - p - 60 - 16265*p**2. Let q(h) = -4*h - 4. Determine 4*q(v) - 3*u(v).\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45033 and 82926?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 577433159 and -1249?\nAnswer: 577434408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.56 and 0.167227?\nAnswer: -0.09364712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from lxlllxqxllqlllqxll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose p = 5*h - 4*h. Suppose 0 + 2\/3*n**4 - 8\/3*n**h - 4\/3*n + 10\/3*n**2 = 0. Calculate n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 27 = -z + 7, -2*z + 3*y + 14 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -27, -114, -291, -588, -1035, -1662?\n\"Answer: -5*s**3 + 8*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 + -79. Let b = -36 + w. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -233*x**2 + 6038*x + 29. Calculate c(26).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19084980 and 284320.\nAnswer: 152679840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41)\/(-123) + -1*42\/(-9). Which is the second smallest value? (a) -7 (b) z (c) 2\/5 (d) -2\/15 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 38. Suppose -5*o = -6*o. Suppose -1 + 16 = 5*j. Sort o, j, t in ascending order.\nAnswer: t, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -20, -52, -118, -230, -400?\n\"Answer: -2*d**3 + d**2 + d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72251950 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113767294*k*s**2*z**3 + 4*s**2*z**3 + 1991*s**2*z**2 + 2336*s**2 wrt k.\nAnswer: 113767294*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(-5\/3))*w)**(-1\/12)\/(w**(-1\/5)\/(w\/w**(2\/7))))**(1\/72))**(-21) assuming w is positive.\nAnswer: w**(-611\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(4\/96). Let s = d - 12. Calculate the remainder when 75 is divided by (-2 + s)\/((-6)\/57).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 6, v: 10}. What is prob of picking 1 v and 3 h?\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*y**3 + 432*y**3 + 17*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7345691 + -4?\nAnswer: 7345688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1078\/462 - ((-32)\/(-6))\/(-2). Solve 0 = -5*v + 3*b - k, 5*v + 2 + 3 = -2*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 39808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*-1*163\/2 + 6. Calculate the greatest common divisor of l and 2640.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 908\/99 - 49\/22. Calculate the common denominator of h and (-95)\/(-114) - (1\/4 - 135\/(-80)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 8. Let b = k + 10. What is the derivative of 3*q + 10 - 2 - b wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29841.1458 less than 12.1?\nAnswer: 29853.2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-31 - (-7 - 0)) - (-13 + 12).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*sqrt(104)\/(sqrt(128)*-6 + sqrt(8))*4.\nAnswer: -40*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 + -175. What is the fourth smallest value in -2, l, 2, 20\/9?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6226489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4791, 9582, 14375, 19170, 23967, 28766, 33567?\nAnswer: 38370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -118, -254, -426, -652, -950, -1338, -1834?\n\"Answer: -3*y**3 - 115*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482503?\nAnswer: 11, 307, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1953516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186221 and 16576?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3. Let m be o(-1). Let b = -7 + 10. Find the third derivative of w**b - m*w**2 - 6 + 6 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -772.4 - -749. Let k = -23.40251 - z. Round k to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 5432?\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - (15 - -5)) + -8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 2, -73, 3 in decreasing order.\nAnswer: 31, 3, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 58102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.7325 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (11 + 1 + 0 + -7)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -492, -622, -846, -1194?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286821200 to the power of 1\/2, to the nearest integer?\nAnswer: 16936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) -2\/7 (c) -338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -579*y + 378 + 265 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000486288869 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 269026, -3 in ascending order.\nAnswer: -4, -3, 269026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(120)\/(sqrt(12) - (sqrt(12) - sqrt(48)))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {z: 3, g: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6983 and 3.1?\nAnswer: -21647.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f - 3*o + 14, -4 = 3*f - 5*o. Let i = 648 - 646. Let x(b) = -b - 35*b**i - 3 + 17*b**f + 19*b**2. Give x(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 85 + 15 + -22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-2)*4\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18095 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:40 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-11 - 0)) + (-12 - -11 - 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4436 is divided by 92.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93402156 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564 + 3*m - 3*m - 445*m**2 + 453*m**2.\nAnswer: 8*m**2 - 564","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*q + 16 = 0, v - 8 = 3*q - 2*q. Let o be v\/(-6) - (-30)\/(-18). Do -3 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004484408198 rounded to 5 dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 25*r**2 + 5*r - 13. Let c be (2\/2)\/((-2)\/18). Let v = 14 + c. What is the smallest common multiple of p(-8) and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76, -153, -230?\n\"Answer: -77*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7283641 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4882 + -2034. What is the greatest common divisor of 64 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6970\/425 + (-6 - -3 - 14).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -451 or -445?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/2)\/((-15)\/90). What is the second derivative of 22*v - z*v**2 + 3*v**2 + 8*v**2 wrt v?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 5*u + 0*u)*(708*u + 1 - 708*u + 18*u**4) - 10*u**5 - 5*u**5 + 8*u**5.\nAnswer: 83*u**5 + 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45557 + d?\nAnswer: -45548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 7336*y - 2630820.\nAnswer: -4*(y + 489)*(y + 1345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/8 - 2469*k**2\/8 + 2031987*k\/8 - 557441767\/8.\nAnswer: (k - 823)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61864123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -611*l*q*t*x - l*q*t + 86*l*q*x - 5*l*q - 2*q*x**2 - t*x**2 wrt t.\nAnswer: -611*l*q*x - l*q - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 1. Let k(u) = 25*u - 10. Let t(g) = 35*d(g) - 4*k(g). What is t(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-124)\/32 - -4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80989 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88010 and 130?\nAnswer: 88010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -272, -2, -23, 1\/6?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/44330483 and 1\/102509.\nAnswer: 487635313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, -2, -52.\nAnswer: -52, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -499.\nAnswer: -499, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 18*r**3 - 14*r**2 + 13*r - 2. Let j(a) = -53*a**3 + 41*a**2 - 38*a + 6. What is -17*i(v) - 6*j(v)?\nAnswer: 12*v**3 - 8*v**2 + 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 373.\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - k + k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 2 = -38. Solve 0*d + d - 3*o = 3, 12 = u*d - 2*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let p be 15\/6*(-6)\/(-9). Sort p, x, 2 in descending order.\nAnswer: 2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1298 + -1187.9. Let w = -110 + b. What is the second smallest value in -1, w, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 35 - 2 - 91*t**3)*(-t**2 + 3*t**2 - 5*t**2).\nAnswer: 273*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -60. Let z(c) = c**2 - c - 1. Calculate z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163378*h**3 + 114495*h wrt h?\nAnswer: 980268*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -41?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, s: 3}. Give prob of picking 1 v and 2 s.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a - 9*a = -5*a. Solve a = -3*u + 15 - 9, 4*t + 6 = u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37644039 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcccppccuppcppp. What is prob of picking 2 p, 1 u, and 1 c?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3860\/11 - 351. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1100) + -5.\nAnswer: -5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -243, -5, 0.1 in increasing order.\nAnswer: -243, -5, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4630274*-0.2\nAnswer: -926054.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*p - 0*p - 438, 4*f - 2*p - 1766 = 0. Suppose 3*r - f = -24. Is 0*4\/16 + r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i - 63*i + 40*i)*(-7*i**2 + 4*i**2 + 0*i**2)*(-13*i**2 + 47*i - 47*i).\nAnswer: -2145*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9760.68 centuries to decades.\nAnswer: 97606.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + q**2 - 2*q + 1. Let h(o) = -9*o**3 + 5*o**2 - 6*o + 8. Let b(c) = 4*g(c) - h(c). Calculate b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 60 + 52 - 10)*(-2*c + 3*c - 2*c) in the form m*c + t and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 15*s + 1602. Let d be (2 + 42\/(-4))*10. Let j = d - s. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 42. Let p be 2200\/q + (-6)\/9. What is the highest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -15. Suppose 6*w + 26 = v + w, -10 = 2*w. What is the greatest common factor of c and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 36 = 4*c, -g - 27 = 9*c - 6*c. Let q be (2 - (-6)\/(-2))*(c - -3). Sort -3, q, 7 in increasing order.\nAnswer: -3, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -525 + 908. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.501 - 5.991. Let t = -0.002 + 47.002. Let o = p - t. Round o to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2)*v)**(-35) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + 1 + 2 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let l be 8\/18*18\/4. Suppose -l*a = -6*a + 8. Let r(d) = -10*d**a + 17*d**2 + d**2. Give r(v(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 505*l - 76. Let n(t) = -1262*t + 184. Determine -12*k(o) - 5*n(o).\nAnswer: 250*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*1\/((-14)\/(-3)). Let f = -9 + 5. What is the second smallest value in 1, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13958317 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-21 + 25 + (1 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13408)\/(-9218) - (-244)\/44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -14. Let h be (-75)\/(-5)*(-2)\/f. What is the nearest to 0.1 in 1, h, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from auuaaaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -168040782 divided by -12926214?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -10 (b) 2\/15 (c) -3.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, l: 2, v: 1, s: 1, f: 7}. What is prob of picking 2 d and 2 f?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6347, 44504, 108099, 197132, 311603?\nAnswer: 451512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 - 144. Let n(c) = -c**3 - 12*c**2 - 13*c - 10. What is the remainder when j is divided by n(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 9. Let h be b(4). Suppose -3 + h = -2*f. Let j be (2\/(-2) - f)\/(-1). Solve j = 2*z + r - 10, -2*z + 0*z = -4*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 454*s + 3915 + 1079 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:01 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2454 - -25440042?\nAnswer: 25433144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52318 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y = 14*y + 107*y - 69006. Calculate the smallest common multiple of 8 and y.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 9*y + 12. Let l be x(8). Let a = 7 + 79. Let u = -89 + a. Sort u, 5, l in ascending order.\nAnswer: u, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 45\/2. Let p = l - 13. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1)\/sqrt(8) + 2*sqrt(18)*1)\/(-1*(sqrt(1089) + (-2*sqrt(1089) - sqrt(1089)))).\nAnswer: 3*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)*8\/(-3). Let n(t) be the first derivative of -t**4\/4 + 8*t**3\/3 - t**2\/2 + 8*t + 5294. Calculate n(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210860743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 361189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - l - 1. Let n(w) = 29*w - 177. Let z be n(6). Let i(b) = -2*b**2 + 0 + 2*b - 1 + 2. Determine z*i(o) - 4*y(o).\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15552\/336 - 46)\/((-4)\/(-141442)).\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:51 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 461, 915, 1371, 1829?\n\"Answer: d**2 + 451*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 - v**2)*(2*v**3 + 1 - 1) + (-3*v - 2*v + v)*(v**4 + 0*v**4 + 19*v - 31*v).\nAnswer: -6*v**5 + 48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 819\/4 - 192. Let n = z + -13. Suppose -1 = -3*t - x, 2*t + 4*x = -2*t + 4. Which is the closest to -2? (a) -0.3 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556903533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqgqqqqmgqqqqqqqnggg. Give prob of picking 2 q and 1 m.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111228, 111280, 111332, 111384?\n\"Answer: 52*i + 111176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m + 224. Suppose -5*n + n = -56. Calculate the highest common divisor of n and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2 - 1)*10. Let k = 14 - p. Suppose 3*t = -5*d + 60, -k*t = t + 3*d - 84. Calculate the greatest common divisor of 45 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539801 is divided by 4461?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdwt when four letters picked without replacement from xqdtqqwqqwxqtxqx.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02735 and 0.02005.\nAnswer: 0.0005483675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*p - 200 = 0, 3*r - 4*p = 368 + 252. What is the remainder when r is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47366631.\nAnswer: 3, 13, 404843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 134*p**3 - p. Let u be -2 + (2 - 0) + 1. Is i(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 889960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2. Let u(r) = 662*r. Give w(u(b)).\nAnswer: 438244*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + 16*d**2 - 3*d**2 + 32*d**2 + 42*d**2.\nAnswer: 94*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908203.\nAnswer: 43, 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*a = -256*a - 50. What is the remainder when 67 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14329614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*o + 59, -2*x + 26 - 8 = -2*o. Let y(j) = 15*j. Let i(c) = 7*c. Let q(t) = o*i(t) + 6*y(t). Let m(s) = -17*s. What is m(q(n))?\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 0 - 1\/150*j**5 + 5*j**2 - 16\/15*j**3 - 2\/15*j**4. Factor k(m).\nAnswer: -2*(m + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = -4*d + 160, -5*a + 5*d + 235 = 0. Let z = -641 - -669. Calculate the greatest common factor of a and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852933987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1807 = -17. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 4*b + 6. Let h be a(-7). Let s be 3\/6*1*10. Suppose -g - s*g = -h. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60375.12812 + -60274.13. Let a = 101 - j. What is a rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49\/75 - 1\/75. Let r be (-3 - (-59)\/17)*1\/4. Which is the nearest to 0.1? (a) k (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/6*2\/6*18. Calculate the greatest common divisor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**3 - p**2 + 3*p + 2. Let c be k(-1). Suppose 0 = -c*h + 34 + 14. Let w(t) = t + 7. Calculate the remainder when w(5) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.5 - -15.5. Let s = -95.2 + z. Round s to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v - 4. Suppose -19 = v*a + 9. Let f be 7\/49 - 40\/a. Solve -4*q = 5*m + 29, -3*m + f*q - 4 = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 - -6. Let w be (-3)\/12 + t\/(-28). Solve -2*s - h - 4 = 0, 3*s = w*h - 6 - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2640)\/(-32))\/55*2\/(-33).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.0746 - -55.28951. Let f = 7.2152 - r. Let u = f + 10. What is u rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -5, -47?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 47. Let n = g - -1. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 50, 184, 444, 872, 1510?\nAnswer: 2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(v**3 + 3 - 3) + v**3 + v**3 + v**3 + 3*v**3 + 3*v**3 - 7*v**3 + (4 + 0 + 0)*(0*v**3 - 2*v**3 + v**3).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a688a0 + 1?\nAnswer: 8a688a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 578*s + 2950. Calculate q(-5).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -262*s**3 - 2*s**2 + 3*s + 3. Let g be o(-2). What is the tens digit of g\/(-10)*(-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**4 + 753648*s**3 - 35499835384*s**2 + 70997409840*s - 35498328100 = 0.\nAnswer: 1, 94205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55\/2 - -331\/12. Let g(r) be the first derivative of -2 + 0*r - u*r**4 + 2\/9*r**3 - 1\/6*r**2. Solve g(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*(36\/(-10))\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/60 - o**4\/4 - o**3\/2 - o**2. Suppose 21 - 7 = p - 2*c, -3*p + 30 = -3*c. Let a = p - 8. Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14967 is divided by 169.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - 10. Let r = 21 + v. Let x be (-2)\/8*-2*(-32)\/(-6). Do x and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115.03 rounded to the nearest 10?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4381 + -1.5619. What is the closest to -1 in 4, 50, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 132862 + 2*n**2 - 44*n - 28*n**2 - 132862. Let y(j) = 5*j**2. Determine i(y(f)).\nAnswer: -650*f**4 - 220*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let t(v) = -224*v**2. What is l(t(p))?\nAnswer: 50176*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*q + 7330 = 2*u, u - 4*q - 1491 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 48 - 91 = 4 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003593999 a multiple of 6866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-8)*(2 + -6). Let v be 12\/14*(-28)\/(-6). Suppose -v = -3*a + a. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*h**2 + 9\/7*h + 0.\nAnswer: 3*h*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -834, 1 in descending order.\nAnswer: 4, 1, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27895 - 154694?\nAnswer: -182589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/4*-2*2. Let l = 1409 - 1404. Suppose 5*f - l = -10*n + 15*n, 0 = 3*n - 3. Solve -1 = f*j - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6417 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13*(-8)\/(-14) + 10\/70 and 1\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -75.2.\nAnswer: -150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85675 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/4, 2\/9, -1.2, 0.0672?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38602, -38558, -38514, -38470, -38426, -38382?\n\"Answer: 44*r - 38646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0 - 6 - 9 + 5*v. Let x(i) be the second derivative of i**4\/12 - 332*i + 8. Give x(s(u)).\nAnswer: 25*u**2 - 150*u + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 4 + 4*k**3 + 2*k**3 - 4*k**3 wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w)*((-4 - 3 + 5)*(-8*w - 12*w - 13*w) - 9*w - 12*w + 8*w).\nAnswer: -53*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1583220 divided by -2.\nAnswer: 791610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8569688 a multiple of 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 21.1. Let u = -1 + l. Let d = -2\/19 - -23\/38. What is the second smallest value in u, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -1\/5 (c) -2 (d) 4\/249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -24*j - 38. Let z(y) = -13*y - 20. Let v(r) = 6*c(r) - 11*z(r). Give v(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 18 = 0, -9*p - 3*o - 33006 = -13*p. What is the highest common divisor of p and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqq. Give prob of sequence nq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 68 + 463 = -3*u, u + 233 = 3*s. Let m be 112\/6 + (-3)\/(-9). What is the highest common divisor of m and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272*b**3*l**2 - 2*b**3 - 3*b**2*l**3 + 3010*b wrt l.\nAnswer: 544*b**3*l - 9*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.12 - 25.12. Which is greater: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 96. What is the remainder when 46 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14185.4 to the nearest one hundred.\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -63444032, -5, 8 in descending order.\nAnswer: 8, -5, -63444032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7812 and 38475619?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 12. Suppose 0 = -5*i - 8 + 3. Let a be (-2 + 2)\/(1 - i). What is the remainder when 23 is divided by h(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3539, 7078, 10607, 14120, 17611, 21074?\nAnswer: 24503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, -3\/7, 4, 1, -2\/5, -4\/559?\nAnswer: -4\/559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-10) + 4\/10. Let t = 261 - 325. Let j = 64.4 + t. What is the smallest value in -2, j, 3\/2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*n = 1749, 2*v + 2*n = -3*n + 1091. What is the highest common factor of 56 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51725.467 + 51690. Let s = h - 0.033. Let p = s - -31. Round p to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.1, 92\/5, 1, -3.4, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -26*q + 912. Suppose q = -4*g + 68. What is the greatest common factor of g and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20753 + 62285\/3. What is the common denominator of l and -35\/9811?\nAnswer: 29433","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.3469 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 + 670*z + 5424 = 0. What is z?\nAnswer: -8, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieiggeggceisesguiggu. What is prob of picking 2 u and 1 s?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-16*d**2 + 36*d**2 + 7*d**2).\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146824473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((595080\/288)\/145)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -130. Let m be s\/95 - (-78)\/10. Suppose 8 = -2*i - 0*i, -5*i = 3*n - 196. Calculate the highest common divisor of m and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0281016 - 4391783.1.\nAnswer: -4391783.1281016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2733\/8, -2, 2\/69, -6.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 31*z - 322 + 135 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and 0.0152?\nAnswer: 0.02736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24192 * -0.19\nAnswer: -4596.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 292*v**3 + 198 wrt v.\nAnswer: 876*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14066 + 15118. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 - u - 1. Let c(q) = 33*q**2 - 5*q - 5. Let f(v) = -c(v) + 5*y(v). Let j(l) = 5*l**2 - 16. Calculate j(f(a)).\nAnswer: 20*a**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(14\/140). Solve 0 = 5*q + g + 19, 2*q - i*g = -3*g + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 56 = -2*d + 4*g, -204323*g = 3*d - 204327*g - 45 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*u - a, -2*u - 2*a = -5*u + 21. Suppose -6*v - 8 = -10*v. Suppose 4*m - 78 + v = 0. What is the least common multiple of m and u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 32 = 0. Let q = 451 + -446. Solve 0 = -q*p + 9*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 9. Let z = 536 - 489. What is the remainder when z is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2112\/(-396))\/(252\/(-21)))\/((-3)\/315*4)\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000174488448 rounded to 7 dps?\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56.3 + -9\nAnswer: -65.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 1541*p**4\/6 - 16*p**3\/3 + 5*p**2\/2 - 3*p - 207. What is the second derivative of w(x) wrt x?\nAnswer: 6164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 215 = -5*b, 6*b - 406345 = -3*y - 406234 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -6*v + 3*v - 363 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 119*t**2 - 22*t + 5. Let c(p) = 89*p**2 - 21*p + 5. What is 4*c(i) - 3*x(i)?\nAnswer: -i**2 - 18*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29077*o - 58178?\nAnswer: -29077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*b - 30 = 0, -3*b - 8 = b. Let p = 71\/20 + -2. Find the common denominator of p and (-66)\/(-4)*i\/48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 651018594 and -147.\nAnswer: 651018447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6028140 less than 0.1?\nAnswer: -6028139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 4*b + 4*u - u, 0 = b + u - 31. Suppose 5*n - b = -n. Suppose h + 52 = n*h. Put h, 5, 2 in ascending order.\nAnswer: 2, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15070626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*v + 33 - 9, -4*v + 36 = 2*h. Let k = h + -10. Solve 5 = 3*l - 5*l - r, 0 = 2*l + k*r - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*q**2 - 2\/3 - 2\/3*q**4 + 0*q + 0*q**3.\nAnswer: -2*(q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6535, 28146, 64835, 116602?\n\"Answer: 7539*z**2 - 1006*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z**2. Let h(s) be the third derivative of -10*s**2 + 0*s + 1\/12*s**4 + 0*s**3 + 0. What is j(h(q))?\nAnswer: -56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -676501 and -676504 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 23\/8 of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:49 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2160*x - 3. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32452 and 2972.7?\nAnswer: 29479.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054912209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7511.7731 + -7512. What is h rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 326\/21, 27, 0.2, -16, -0.4, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*j + 16*j - 11 + 11.\nAnswer: 380*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9800)\/(-7))\/8*1\/1. Let i = o - 112. Calculate the remainder when 124 is divided by i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 66. What is the remainder when 69 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -34, -65, -108, -163, -230, -309?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/27 and -46\/6783?\nAnswer: 61047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-1) - 9216\/(-368).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r - 1. Let k(i) = 2*i**2 + 31*i - 10. Give -6*a(h) + k(h).\nAnswer: -4*h**2 + 7*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-1))\/((-4)\/484*-11). What is the tens digit of 2\/5 + 4499\/o*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109\/27 - -4. Let r = 194\/11 - 1014\/55. What is the second biggest value in j, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 24*q**2 - 55*q - 79. Determine p(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k + 9*o - 192 = 8*o, -k + 4 = 3*o - 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 2*w + 52. Let j be t(7). Let r = j + 81. Let q be 1\/3 - 22\/(-6). Solve 2*b + r = -q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2212 - 271 = 3*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1221211122?\nAnswer: 1221211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11318 + -5?\nAnswer: 11313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/24*-56*6\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12)*9)\/((-7245)\/(-3381))\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1329*z - 3923. What is i(-3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 7. Let a(p) = p**3 + 3*p**2 - 2*p + 1. Let m be a(-3). Let c be f(m). Suppose c = -i + 4 - 1. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452688868221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 28 + 3, -3*n + 4*u = -17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 696\/114 + 0 + -13 + 7\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 + (3245\/(-236))\/((-9)\/(-36))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2159603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.5 - 9.4. Suppose 0 = -0*n + 5*n + 25. Sort 3, n, c in decreasing order.\nAnswer: 3, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*v + v - 1 = 0, 5*b = 2*v + 11. Let q be 0 - b - (-18 + 12). Calculate the greatest common divisor of q and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1079*o - 9659. Let m be u(9). What is the greatest common divisor of m and 4927?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -80, 39 in increasing order.\nAnswer: -80, -2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 69*f - 654. Let b be j(-12). Let l = 6 + -4. Calculate the greatest common divisor of l and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -155 in ascending order.\nAnswer: -155, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3*(-9)\/(-27)*-1*7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**5 + 3*a**4 + 2*a**3 - a**2 + 2. Let q be 0 - 6*(-2 - -3). Let t(c) = c**4 + 1. Let z(h) = q*t(h) + 3*b(h). What is s in z(s) = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*j + j. Suppose 0 = -5*i - 2*i - 21. Let l be (-4)\/(-6) - 32\/30. Which is the closest to l? (a) i (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 28 = -8, 5*w = p - 15 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o - o + 3*o)*(55 + 24 - 6)*(2*o + 2*o - 2*o) to the form q*o**2 + b + y*o and give q.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 101*y - 62. Let j be t(6). Let l = j + -321. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 23, 44, 69?\n\"Answer: 2*c**2 + 11*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 + 18*i + 3. What is the remainder when 22 is divided by g(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*u = 6*u - 18, -4*j = -u. Solve 19 = -2*c + 5*a + j, 3*a - 7 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61052041.\nAnswer: 61052041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 + 308. Suppose -r = -3*w - 29. Suppose -4*v = -186 + w. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*l - 70, -2*l = -t + 6 + 8. What is the smallest common multiple of t and 2 + 52\/4 + (-1)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 198 + 86 = 454 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**4 + 4. Let q(v) = v**5 - 8*v**4 - 7. Let i(y) = -y**2 + 9*y + 18. Let a be i(11). Let p(w) = a*q(w) - 7*h(w). Find t, given that p(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -23. Let n = -0.1 - 1.9. What is the third smallest value in -5, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 16. Give d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88322 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 3) to base 13.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 0.023?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-45.6.\nAnswer: 957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 42*v**3 + 116*v**3.\nAnswer: 149*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/54 and 13\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/3 + 5843*y**2\/3 - 212084*y = 0. What is y?\nAnswer: 0, 111, 5732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 4, -0.6, -0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/115 greater than -98.0384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*g + 1 + (-4 - 1 + 4)*(0*g - 5*g + 4*g))*(-10*g**3 - 182 + g**4 + 182) - 2*g**5 - 8*g**5 + 4*g**5.\nAnswer: -3*g**5 - 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 - 3.23. Let u = 5 + -8. Let m = u - w. Which is bigger: m or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4099 + 4236. What is the remainder when a is divided by 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 5)*(2*m + 0*m - m + (1 + 2 - 5)*(-m + 2*m + 0*m) - m + 2*m - 2*m) to the form p + q*m and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 610623487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -427 - -429. Is h <= 0.004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/25 and 9\/48425.\nAnswer: 48425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17813\/10 + -1793. Let w be 149571\/840 - 3\/(-5). Let g = -1332\/7 + w. What is the common denominator of g and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 779 + -1473. Let j = u + 693.815. Which is the closest to 0.1? (a) 1 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5784669.6 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -11*t**5\/5 + t**4\/3 + t**3\/2 + t**2\/2 - 29*t. What is the tens digit of x(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29257493.\nAnswer: 17, 67, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q = -182 - 154 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - c**3 + 3*c + 4*c + 6 - 4*c**2 - 3*c**3. Let g be u(-5). Let f(k) = -k**2 + k. Let v(d) = d**3 + 6*d**2 - 2*d. Calculate g*f(j) - v(j).\nAnswer: -j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76039 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/9 + 92*u**4\/9 - 832*u**3\/9 + 192*u**2.\nAnswer: 2*u**2*(u - 4)**2*(u + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196709 is divided by 5645?\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4958 is divided by 409.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 777 + -775. Calculate the least common multiple of w and 544.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112210 - 11?\nAnswer: 1112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93763 is divided by 168.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -4. Let g(v) = -v**r + 3*v + 1 - 2 - 5*v - 4*v. Calculate g(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 4. Let j(w) = 5*w - 6. Let u(m) = 5*j(m) - 8*n(m). Let v(t) = -t - 2. What is 4*u(r) + 5*v(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(2*k - k + 4*k - 2*k**3).\nAnswer: -2*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/3 (b) -3\/7 (c) 131\/3 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 48 - 282. Calculate the smallest common multiple of 15 and k.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(24))\/(sqrt(15)\/(sqrt(35)\/sqrt(7))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -3 (c) -5 (d) 26 (e) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**7)*s**4*(s*s*s**0)**(-4\/9)*(((s**(4\/3)*s)\/s)\/(s\/s**(-3\/7)))\/(s*s*s*s**(2\/7)*s*s)**(-43) assuming s is positive.\nAnswer: s**(14950\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**2\/2 - 7*d - 18. Let k be t(9). Is k\/8 + 102180\/48 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 8*m - 4*m - 2*q, 0 = m + 3*q - 36. List the prime factors of (471\/(-6) + -1)*(-31 + m).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11613 and 1029.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260727 greater than 260712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-10)\/6 - -2) + 1460\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/21 - 97\/231. Sort 5, 0.5, c, -0.4 in decreasing order.\nAnswer: 5, 0.5, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 102*x - 35. What are the prime factors of q(-30)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2013 + -333301?\nAnswer: -331222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -64507627.9 and -5.\nAnswer: -64507632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 less than -2076?\nAnswer: -2075.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18065.\nAnswer: 5, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94420 or -94595?\nAnswer: -94595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043131967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(616) + sqrt(616) + 1*sqrt(616))\/sqrt(11))\/(sqrt(8) + sqrt(56)\/sqrt(7)*-6) + -5)**2.\nAnswer: 24*sqrt(7) + 1633\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/60 + 1173*g**2 + 2. Let x(a) = 67*a**2 + 23*a. What is x(s(i))?\nAnswer: 67*i**4 - 23*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2906 - -4?\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106 + -7517701?\nAnswer: -7517584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3888835281.\nAnswer: 3, 41, 10538849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6874 (base 13) to base 10\nAnswer: 14629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) 136 (c) -270 (d) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 34 (c) -4 (d) -0.3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.85 less than 3645?\nAnswer: 3781.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10045, -20086, -30115, -40126, -50113, -60070, -69991, -79870?\n\"Answer: d**3 - 10048*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*j - 16 - 1\/4*j**3 + 19\/4*j**2.\nAnswer: -(j - 16)*(j - 4)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0.5. Let m = -4 + 3.5. Let d = m - w. Which is the closest to 0? (a) -4 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.8, -47, 0, -0.0548, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5656248 divided by 6.\nAnswer: 942708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-1))\/a*a**(-1\/4))\/(a**(4\/5)*a*a**(-2\/3)))\/((a**(-1)*a**3)\/(a**(-1))**(3\/23)) assuming a is positive.\nAnswer: a**(-3469\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 + h. Let m be b(-2). Let o be (-6 + m)\/(-2) + 10. What is the highest common divisor of 36 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 127) + (-9 + 5)\/1. Let t = i + 888. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2321*s + 32 = 2310*s - 4628*s + 11*p, 0 = 3*p - 3 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/64 and -27\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*d - 7*d. Suppose -m = d - 8. Let a be (0\/8)\/(m\/(-3)). Solve -5*i = -a*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -37. Find the common denominator of (-1 - -9)*v\/(-120) and 93\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*x - 2*x. Let t be (24\/60)\/((-3)\/15) + 6. Solve x = -t*r + r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**4 - b**3 + b**2. Let n(i) = -30*i**4 - 25*i**3 + 5*i**2. Let r(h) = 25*c(h) - n(h). Find the third derivative of r(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84644 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2925\/60)\/(4575\/(-2440))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/4 + 14*v**3\/3 - 25*v**2\/2 + 24*v + 726. Give n(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 10*m - 5. Let j be n(-9). Solve -j = -3*o + 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2 - 23*a - 19. What are the prime factors of k(25)?\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 43. Let d be 160\/(8\/4)*w. Suppose -3*t = -d - 424. What is the greatest common divisor of t and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o. Let a be n(1). What is the nearest to -2 in 4\/3, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3358884 (base 12) in base 15?\nAnswer: -ce08a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 9. Let l(d) = d. Suppose -3 = 5*g - 5*q + 2, 0 = -2*g + 4*q - 6. Determine g*i(y) + l(y).\nAnswer: -y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 5. Let b be t(2). Sort -10, 2, -3, b in descending order.\nAnswer: 2, b, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 664 and 24734?\nAnswer: 98936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -636*a - 5379. Calculate s(-9).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -44?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*c**3*w - 3*c**2*w**2 - 800*w**2 wrt c?\nAnswer: -30*c**2*w - 6*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 11. Calculate p(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - 6*o + 21. Let f(i) = -9*i**2 - 13*i + 42. Let h(p) = 3*f(p) - 5*z(p). Let a be h(4). Is -48 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1723 + -48263\/28. Calculate the common denominator of q and 11\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 2*l - 3. Let k be c(2). Let t be k\/9 - 4\/(-3). Solve -5*g - 19 = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-6*(sqrt(51) - sqrt(255)\/sqrt(5)))\/(-1*(sqrt(3) + sqrt(27))))**2 + -4)*2*-5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 4*u**3 + 0*u**3)*(0 + 1 + 1)*(0*u**2 - u**2 + 0*u**2).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30677*f**2 + 7*f**3 + 30677*f**2.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32512778?\nAnswer: 2, 3011, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u + 36*u - 84*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1501127\/42 - 35738. Let f = -23617\/6 + 3919. Find the common denominator of f and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2579 + -2.2579. Let v = -3 - -3.2. What is the second smallest value in r, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265500 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140*(-27)\/(-405)*36\/14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*j = -38, -2*m = 2*m - 4*j + 32. Let s = 15 + -8. Let p = m + s. Sort p, -4, -1 in increasing order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2769 - 2428. What is the greatest common factor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)*b**(5\/4))\/((b*b\/(b*b**12))\/(b\/b**5)) assuming b is positive.\nAnswer: b**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(38\/(-95)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhraautt. What is prob of picking 1 h, 1 u, and 2 t?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(-1 + -3 + 2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*h + 16 + 108*h + 6 with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(2 + (-7)\/2). Let t be (3\/3)\/((-6)\/(-12)). Let w be 6 - t - (0 + 4). What is the nearest to -2 in j, w, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*c**3 - 10*c + 3 + 10*c + 6*c + 6*c**4 + 17 - 42*c**2.\nAnswer: 2*(c - 5)*(c + 1)**2*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c - 3. Suppose 619*b = 626*b - 98. Suppose 10 = q + f + 2*f, -3*q + 2*f = b. Determine m(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k + 650 = 545 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - (-4 + (-1 - -4))*2. Let m(c) = c**2 - 11*c + 2. Calculate the remainder when 17 is divided by m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35*(11\/((-44)\/10))\/(42\/(-12))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1037448 and 27.\nAnswer: 1037448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 18. What is the smallest value in 0, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -4.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1102213 and 2929?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -16. Suppose -m = -3*r - 4. Suppose -4*w + r = -3*w. Solve 0 = -w*q - 12, 5 + 0 = -k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 271.\nAnswer: 3\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/6 + 535*f\/3 + 1072\/3 = 0.\nAnswer: -2, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 634290 - 149171. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -36. Let u = q + -11. What is the second derivative of -7*l**u + 2*l + 2*l**5 + l**5 wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 12. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 4*a**2 - 3*a + 6. Let k be b(4). Let q = 10 + k. Suppose -4*c - 11 = -q*n + 1, 10 = -5*c. Is 1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 8. Let o be j(-8). Sort -1, o, 4 in decreasing order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12027, 5 in increasing order.\nAnswer: -2, 5, 12027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 475938*s + 475938*s + 46*s**2.\nAnswer: -s**3 + 46*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**4\/4 - 7*s**3\/3 - 9*s**2\/2 - 4*s - 9. Let b be h(-6). Let v = b + -12. Solve -1 = -5*k - 3*p - 7, -4 = 3*k + v*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1233 + 1236. Solve 0 = -3*v, -g*j + 9 = -5*v + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/62 and 15\/(-36)*-13*1.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*m + 2, 0 = m - 6*k + 4*k + 6. Sort 5, -1, m, 2 in ascending order.\nAnswer: m, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(12\/11)*n*n**3)\/(n*n*n\/(n**(-26)\/n)*n**(-1\/3)\/n) assuming n is positive.\nAnswer: n**(-778\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16888652 divided by -2.\nAnswer: 8444326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 12*g**3 - 2*g**2 - 1. Let o be v(2). Let t = 73 + o. Suppose -t = -7*z + 57. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12)*2*(-59 - 4). Let k = -21 + m. Let w(j) = k*j - j - 6*j + 8*j. Let s(z) = 10*z**2 + z. Calculate w(s(l)).\nAnswer: 10*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/11)\/f)\/(f\/(f*f*f\/f**(-13)*f*f*f)))**(-25) assuming f is positive.\nAnswer: f**(-4525\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 9*v = 156. Let k be 4\/14 - v\/(-7). What is k rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 201*g + 12284. What is w(-61)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*q + 4614 - 4599 = -0*a, 0 = -4*a - q - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k, 2*s - 472 = -0*s - 2*k. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/2)\/c)\/(c*c**(-12\/11)*c))**37 assuming c is positive.\nAnswer: c**(1295\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -4, -0.2, -5, 4\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 1 - x + 6*x + x**2 - 5*x. Let f(r) = -6*r**2. Calculate w(f(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*l = -27 + 42, -5*w + 2*l + 27 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-389)\/3890)\/(1*(-2)\/4 - -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + 5 + -4 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*4 + (-2*sqrt(77))\/sqrt(11))**2 + 0 + -2 + (sqrt(63)\/sqrt(3)*-4)\/sqrt(3).\nAnswer: -4*sqrt(7) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 49, 2, 30, 0 in descending order.\nAnswer: 154, 49, 30, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 9*c + 1606. Put c, 0, 4 in decreasing order.\nAnswer: c, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, -4, 1, -21, 382\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197185 is divided by 32787.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -189\/40, -5, -4?\nAnswer: -189\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30856 and 8664.\nAnswer: 1758792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384368 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + p = -4. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041?\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, i: 1, t: 1, r: 3, c: 1, e: 2}. What is prob of sequence trir?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -15, 99*f - 5*u = 97*f - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/11 - 118*q**3\/11 + 138*q**2 + 118*q\/11 - 1520\/11 = 0. What is q?\nAnswer: -1, 1, 19, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 20416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1120.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 17883 = 2315. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0206 - 384.9794. Let n = j - -385.5. Let f = 0.25 + -0.3. What is the smallest value in 0.3, -3, n, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -203, -4, 1 in descending order.\nAnswer: 1, -4, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641863287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.56802 + -13.49382. Let p = 13 + m. Round p to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let a = -8 - -8. Let g(j) = 4 + a - 4 + 3*j. Determine g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g + 5. Let z be 5\/5 - (3845 - -1)\/g. Let k = z - 12871\/10. Calculate the common denominator of k and 9\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 38. What is the third smallest value in 0, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -12. What is the units digit of (111\/d*-1)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 4. Let f be -2*(-1)\/((-4)\/(-6)). Let c(p) be the first derivative of -p**2 + 2 - 5 + 13*p - 8*p. Calculate f*c(m) + 4*j(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c\/c**(-6))\/c))\/c)**(-2\/47) assuming c is positive.\nAnswer: c**(10\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b16 - -3?\nAnswer: b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 46, -1, -5, 96\/19?\nAnswer: 96\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -16. Suppose -2 + 10 = x*s. Suppose 59 = s*a - 11. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + -1)*-2)*4.\nAnswer: -8 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 31557 = 34393 - 8476. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -150*g - 448. Calculate the remainder when f(-7) is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188.71758*0.01\nAnswer: 1.8871758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 + 4*g - 3. Let d be (15\/25)\/(1\/5). Suppose -z + 5*t - 16 + d = 0, 0 = -5*z + 3*t + 1. Calculate a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 13*r + 3. Let o be t(7). What is the units digit of ((25\/o)\/(-5))\/(2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*u - 11 - 10*u + 207*u as g + y*u and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172361 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2\/4 - (-9)\/(-18). Solve -z + 5*l = 2*l + 6, g = 3*z - 3*l + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 365 - -8.5. Let f = a - 260. Let v = 113 - f. What is the nearest to -3 in -3\/7, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*5*-6)\/sqrt(3))\/(5*(sqrt(3) + sqrt(147)*-3)).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 445\/9. Let v = -29 - -88\/3. What is the closest to v in 2, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25034 times 5\nAnswer: -125170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 26*u + h + 8 = 0, 0 = -5*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 22 = 2*t, 0 = t + 2*z - 8. Suppose t - 452 = f. Let i = 633 + f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4638250102 + -2.982.\nAnswer: -4638250104.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*y - j, 2*y = 5*y - j - 4. Factor 45*q**2 - y*q - 11*q**4 + 6*q**4 + 15*q**3 + 28*q.\nAnswer: -5*q*(q - 5)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 2*t**4 + 10*t**4 + (4*t**2 - 3*t**2 + 0*t**2)*(3*t**2 + 2*t**2 - 6*t**2).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + v - 5 = 0, 0*v + 10 = -2*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(1*sqrt(11)))\/sqrt(6).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (87 + -11) - (0 - -22)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(90)\/sqrt(9)) - (sqrt(8) - (sqrt(16) - 1*sqrt(16))\/sqrt(2)))**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-48))\/(4\/(8\/1))*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9068 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -31 (c) 0.1 (d) -4\/7 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*x - 17 = 0, 2*x = -5*w - 2 - 1. Let r(f) = -4*f + 6. Let t(i) = -4*i + 7. Let q = 9 + -14. Let b(y) = q*t(y) + 6*r(y). What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129903299 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22411\/42 - -3199\/6. What is the closest to -0.1 in 1.6, -0.01, w?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.962 - -17. Let m = -0.362 - j. Which is the third biggest value? (a) 1 (b) m (c) -4 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120121100 (base 3) to base 7\nAnswer: 45111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 549623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -5*h. Let u(w) = -w + 33. Let b be u(h). Suppose -b = -2*z - 3*f + 36, z - 24 = -5*f. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 4*m + 3 + 5*m. Suppose x = 3*p - 2 + 14, x - p - 4 = 0. Let o be x\/((-2)\/(-3 + 5)). Give i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 960321, 960319, 960319, 960321?\n\"Answer: o**2 - 5*o + 960325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(-t - t + 0*t) + (2868 - 6110 + 2996)*(-2*t + 0 + 0).\nAnswer: 488*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**3 - 9*x - 7. Let i(n) = 4*n**3 + 4*n + 3. Give -7*i(v) - 3*w(v).\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -18*r + 37 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.062 - 47.062. Let u = f + 47.168. Round u to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 79*i**2. Let y(z) = -4*z. Calculate y(l(a)).\nAnswer: -316*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505567 is divided by 250676?\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**6\/6 + l**5\/20 - l**3\/3 + 2*l**2 - 934*l. What is the second derivative of r(b) wrt b?\nAnswer: -60*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -156, -266, -376?\n\"Answer: -110*x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108090 and 41970?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85608923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 8*p + 3. Let u be n(7). Let z = u + 0. What is the remainder when 24 is divided by (-3 + 1)*26\/z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -4\/3 (c) 2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.285?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/40)\/(-7*(-3)\/168)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224.35 + -0.35. Let q = h + -223.726. Let r = -0.146 + q. Round r to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 11:48 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.20848602 + 0.05848671. Let h = 0.15 + g. What is h rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 86, 0, 210, -98, -1 in ascending order.\nAnswer: -98, -4, -3, -1, 0, 86, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uhuuuhuhuuuuhuuuuuu.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(162)*5*-5)**2*-1*6 + -1.\nAnswer: -787320001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*n + 140 - 278 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87481 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636 a factor of 20034456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0*a**2 - 1 + 8 - 11*a**3 + 4*a**3 + a**2 - a. Let u(q) = q**3 + q**2. Let x(y) = 6*u(y) + z(y). Let s be x(7). Sort 5, -1, s.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 20 = 3*k. Let z = 39 - k. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*s - q - 4, 0 = s - q - 9. Suppose 2*a - 40 = -4*m, 4*a - m - 80 = -s*m. What is the remainder when 59 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 14485*m + 6877*m - 1 + 6876*m in the form n*m + q and give n.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**37\/x))\/x)**(-50) assuming x is positive.\nAnswer: x**1800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/15)\/((-11)\/(-55)*-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -297469?\nAnswer: -297469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(4)\/sqrt(2)) - (sqrt(272)*5)**2) + (sqrt(153)\/(sqrt(441)*1))**2 + -2.\nAnswer: -333281\/49 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4\/5 + 1152*u**3\/5 + 6082*u**2\/5 - 157752*u\/5 - 32536 = 0.\nAnswer: -14, -1, 10, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 70*x**2 + x + 1. Is r(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 44. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1417, 2240, 3063?\nAnswer: 3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 10*l**2 - 13*l + 26. Calculate w(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-1)\/(-2))*0\/(-2). Let c = -8 - -12. Suppose s = c*u + 7 - 31. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from rcrerrrertrzzg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 3329\/50?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1922 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10010111010?\nAnswer: 10010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -5*sqrt(91)*1 + 2*sqrt(91)*2 + sqrt(91))\/((-5*sqrt(84)*1 - sqrt(84))\/sqrt(12)*6).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3867245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, 0.8, 0.5, -0.6, -1.9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 163314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 534, -18, -12, 0.3 in ascending order.\nAnswer: -18, -12, -0.05, 0.3, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1414\/441 + (0 - 0 - 3) and 48\/77?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 7*l**5\/150 - 64*l**4\/5 - 44*l**3\/3 - 1884*l**2 - 3*l. Factor i(o).\nAnswer: 2*(o - 110)*(7*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.87 - -23.87. Let u = -60 - -33. Let m = c + u. What is the biggest value in m, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*v*z**4 - 16*v*z**3 - v*z**2 - 3*v*z - 8*v + 37*z**4 + 4*z**3 - z**2 - 1722*z wrt z?\nAnswer: 288*v*z - 96*v + 888*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09992759 + -0.1?\nAnswer: 0.99992759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2897673 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 21108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1369900 and 184576?\nAnswer: 87673600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = 8. Suppose 3*f - 2521 = -o*t, -133 = -t - 3*f + 376. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g**4*w**2 + 10*g**4 + 29*w**2 + 3 with respect to g.\nAnswer: -32*g**3*w**2 + 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 861 (base 12) to base 16\nAnswer: 4c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -45. Let l = 51 - 36. Suppose 0 = -5*k + 5 + l. Calculate the smallest common multiple of k and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*u - 5*u. Let i = -0.111 - -0.111. Which is the nearest to 1? (a) -0.4 (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 8*p + 6. Suppose 2*v - 8 = -4*x + 10, 24 = 3*x + 5*v. Suppose 13*d = x*d + 180. Let c be (d\/4 + -2)*24\/15. Determine k(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2090 - 15*a**2 + 2090 + 38*a**2 - 14*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -4.9. Let l = 21 - 21.3. Put 1\/5, j, l in descending order.\nAnswer: j, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 22*d - 1. Calculate k(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9595*-0.5\nAnswer: 0.47975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00742187612 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21277.252 times -0.1\nAnswer: -2127.7252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -473651 (base 8) to base 5\nAnswer: -20133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 18*a**2 + 13*a - 11. Let w be l(18). Let i = w - 117. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/7 + 129*x**3\/7 + 380*x**2\/7 + 36*x.\nAnswer: x*(x + 1)*(x + 2)*(x + 126)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n + 5. Let v(a) = -a - 1. Let i(o) = 4*o + 5. Let t(d) = -i(d) - 5*v(d). Calculate -h(c) - 4*t(c).\nAnswer: 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 + 4*s**2 + 16*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6266 is divided by 6255.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 254\/60 - 14\/35. Let p = 73\/18 - g. Let b = -1 + 2. Which is bigger: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*k - 624 = 135*k. Let a(y) = y + 1. Let b(c) = 2*c + 1. Let u(f) = 5*a(f) - 2*b(f). Let v(d) = -d - 3. Give k*u(n) - 2*v(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p - 2*p + 5*p - 5*p. Let j(m) be the third derivative of 0*m + 1\/8*m**4 + 0 + 0*m**3 + m**2. Calculate j(a(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p + 20. Let x(q) = -q**3 - 5*q**2 + 8*q + 6. Let a be x(-6). Let d(m) = -m + 1. Let o(w) = a*d(w) + t(w). Determine o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 20*q**2 - q + 13676 - 6*q - 13683.\nAnswer: -20*q**2 - 6*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 6*k**2 + 5. Let g be m(6). Suppose 2*y = 5*w - 6, 3*y - g = -2*w - 14. What is the first derivative of 5 - z**2 + w*z + 0*z wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70.6, 2307, 1\/3?\nAnswer: -70.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*t - 2*a, 3*a - 13 - 11 = 5*t. Sort t, -1, 5 in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*c = 1080 - 288. Let k(i) = -i + 11. Let s(q) = -3. Let a(g) = 2*k(g) + 9*s(g). Let o(h) = -6*h - 14. Calculate c*a(b) + 4*o(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9245 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3571505 < -3571562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1517 divide 444090278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by 3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, -4 in decreasing order.\nAnswer: 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 2*j**2 + 7*j + 6. Let z be q(-2). Find the common denominator of -173\/60 and (-11515)\/4512 + z\/(-6).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 4, -i = -4*s - 7. Let w be 6\/9*(-9)\/(-6). Sort w, 5, s.\nAnswer: s, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3252 - 2692 + 180 = -262*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -485, -447, -409, -371?\n\"Answer: 38*w - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k, 5*o = 3*o + 5*k + 1025. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6891 micrograms in grams?\nAnswer: 0.0000156891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2376 and -67\/88?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/55)\/((4\/5)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 5:49 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let a = 0 - 0.1. Let b = 0 - a. Is b less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -147, -353, -665, -1095, -1655, -2357, -3213?\n\"Answer: -2*m**3 - 35*m**2 + 7*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 11*j**2 + 9*j**3 - 28*j**3.\nAnswer: -19*j**3 + 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0 (c) -0.06 (d) 1 (e) 204\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4995 and 10.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**5 + 65*d**4\/4 + 95*d**3\/3 - 365*d**2\/2 + 210*d + 676. Find c, given that z(c) = 0.\nAnswer: -3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from qpzzzpqzqqz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Let b(h) be the first derivative of 1\/3*h**3 - 2*h**2 + 2 + h. What is b(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 2*b - 2*b + 2*b. Let v(d) = -300 - 14*d**2 + 5*d**2 + 300. Calculate v(m(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Suppose -16 = 5*k - 36. Suppose 5*x - 29 = 3*f, 2*f = -8 + 2. Solve y*c - x = k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, -45, -25374, -5, 4.\nAnswer: -25374, -45, -5, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quunnnu. What is prob of picking 1 q and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**7\/42 + 5*s**3\/6 + 2*s**2 - 7. Let g(c) be the second derivative of p(c). Differentiate g(a) with respect to a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250064 or -250344?\nAnswer: -250344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -1\/10*w**5 + 0*w**4 + 0*w**3 - 3*w + 0 + w**2. Find the first derivative of b(k) wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 1:23 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h - 57 + 57 + 4*h in the form f + d*h and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52845070, 52845083, 52845112, 52845163, 52845242?\n\"Answer: f**3 + 2*f**2 + 52845067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -34*y + 75*y + 4 - 40*y. Let i(z) be the third derivative of -7*z**5\/60 - 378*z**2. What is p(i(s))?\nAnswer: -7*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14453665 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (-63)\/7)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023756717 to five dps.\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556 + 112. Suppose -3*n - 5*h + g = 0, -5*n + n - 2*h = -900. Suppose -3*j + 226 = -2*c + 3*c, 5*j + n = c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/5 - 70307*u\/5 - 8580352 = 0. Calculate u.\nAnswer: -605, 70912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.124 in -1\/4, 3, -0.3, 1\/10, 0?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - 8. Let t be x(0). Sort -0.3, 0.3, t, -1\/3 in ascending order.\nAnswer: t, -1\/3, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/80)\/((-6)\/4))\/(96\/(-33024))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - -61)\/(6 - 20\/2)?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13826*j**4 - 7*j**3 + 3141473*j**2?\nAnswer: 331824*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z**2 + 28*z**2 + 71*z**2)*(-84*z - 83*z + 22*z).\nAnswer: -16820*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/21)\/l**(-7\/4))**(-2\/11) assuming l is positive.\nAnswer: l**(-139\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32057670 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2303221 + 42?\nAnswer: 2303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90885199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146239874 and 726.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (10 - 5 - 7) + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j)\/(j\/(j\/j**(3\/2)*j)*j))\/(j\/(j\/(j\/j**(-3\/10)))*j**(-7)) assuming j is positive.\nAnswer: j**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 r when three letters picked without replacement from {j: 10, r: 2}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 3*h + 151. Round h to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-62)\/(39618\/355))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) 2 (c) -48.202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24863, 24862, 24861?\nAnswer: 24860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(32) + -1.\nAnswer: -1 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/117)\/2 - (-152)\/(-26). Let g = -1 + 9. Let k be (-14 - 106)\/(p\/g). Calculate the highest common divisor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 0, -4.\nAnswer: -4, -3, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r\/(r\/((r\/r**(3\/10)*r)\/r)*r))**(-2\/7)*r**(-3\/4)\/(r\/(r**(3\/2)\/r))*(r**(2\/11)\/r)\/r**(-3) assuming r is positive.\nAnswer: r**(-193\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 + 3*j + 4. Let v be h(3). Solve 7*u - 3*u - v = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-22\/7)\/(x**5*x*(x*x\/(x\/(x*x**(-1\/14)\/x)))\/x*x) assuming x is positive.\nAnswer: x**(-53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 145 = 5. Suppose 5490 = -5*a + y*a. List the prime factors of a.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14324.32g in milligrams?\nAnswer: 14324320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6011*h**2 + 6011*h**2 + 8*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/2 - v**3\/2 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 34\/3. Let o = -1.8 + -0.2. Let j = 0.01 - -3.99. What is the second biggest value in j, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.216 + -6.216. Put 0.1, -1\/3, f, 15 in decreasing order.\nAnswer: 15, f, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**5\/30 - 4*u**2 + 19*u. Let x(r) = 441*r**2. What is q(x(k))?\nAnswer: -388962*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 77*s + 379. Let n be x(-12). Which is the biggest value? (a) -3 (b) -5 (c) n (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -94 and -1070.\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/(3 + -4). Suppose -3*r = 4*x - x - 21, -r - 5*x + 7 = 0. Let v = f + r. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 485514*d**2 - 29442405072*d + 2801411960440.\nAnswer: -2*(d - 95)*(d + 121426)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 4*sqrt(104)*2)\/(sqrt(32)\/(-2*sqrt(4))))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 444 = 3*i. Let d = -76 - i. Let n = d + -53. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:20 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 52. Let y = 0.61 - -1.39. What is the closest to n in -0.4, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 3. Let z be y(-5). Suppose 4 = 2*q + z*q. Let x = 20 - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 49*g - 4*g**2 - 38*g - 30*g to the form v*g**2 + h*g + w and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 y when three letters picked without replacement from {t: 3, h: 1, i: 3, f: 1, y: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2063 - 2055. Suppose 4 = b + 5*d, 0 = 4*b - 9*b - 3*d + 130. Calculate the remainder when b is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2821, -11475, -25899, -46093, -72057?\n\"Answer: -2885*r**2 + r + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3 (b) 8.09 (c) 2\/3 (d) 0.4 (e) -7\/4 (f) -2\/33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(8\/48). Let y(w) = -2*w - 4. Let u be y(l). Suppose 3*o**3 + 6*o**3 - 3*o**u - 9*o**2 - o + 4*o = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 68*y - 823. Let v be x(16). Let l(d) = -3*d + 17. Give l(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52801532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -14.28573?\nAnswer: -13.98573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.167 + -0.157. What is the second biggest value in -1\/3, z, 1, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195846715 not equal to -195846715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + w**2 + w + 5*w**3 + 14*w**4 - 13*w**4 - 7 in the form i*w**3 + p*w**4 + f + g*w**2 + r*w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -882*v + 882*v - 122*v**2 + (v**2 - 5*v**2 + 3*v**2)*(1 - 3 + 3) in the form j + r*v**2 + p*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -594, -1340, -2384?\nAnswer: -3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -14, -5, 100 in descending order.\nAnswer: 100, 3, 2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 - p**3 - p**5 + 2*p**5 + (2*p**4 - 2*p**4 + 4*p**5)*(2 + 3 - 3).\nAnswer: 6*p**5 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -17 (b) -5 (c) -1 (d) -2\/47 (e) -9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + c - 12*c - 5*c - c.\nAnswer: 5*c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 328.\nAnswer: -2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/45 and -28\/618565?\nAnswer: 5567085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657 + 1367\/2. Calculate the common denominator of -139\/36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 54 + 6 = 0. Suppose -3187 - 4758 = -h*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/920*(-13)\/(13\/4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from vaivaiyjjivjji.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131223122122 + -1?\nAnswer: -131223122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -25*t**5 + 615*t**4 + 9000*t**3 + 3500*t**2 = 0.\nAnswer: -10, -2\/5, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529457581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331)*-2 + -5)**2.\nAnswer: 220*sqrt(11) + 5349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/1260 + 31*i**4\/12 - 39*i. Let a(u) be the third derivative of c(u). Let h(z) = -11*z**2. Give a(h(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.589 + 0.55. Let c = i + -0.171. Let q = -0.21026 - c. Round q to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -1*(0 + 5))*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -226. Suppose 3*c = -z + 89 + 327, 0 = z - 5. Suppose 4*q = -r + 6*r + c, 5*r - g = -3*q. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3599826 is divided by 420.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9083 - 5183 = 25*f. What is the highest common divisor of f and 15132?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-90) - (-90)\/225\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 - 112 = -4*h - 3*h - 7*j, 5*j = -h - 16 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkwbaabbwbwbbbw. Give prob of picking 2 b.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 240135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 2 + 2 - 1078*c.\nAnswer: -1074*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518 = -447*l - 10011 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -5 + 1*sqrt(468) + sqrt(468))**2 - sqrt(39)\/((sqrt(3) - sqrt(12)\/sqrt(4)*-5) + sqrt(3)) - (4*(2*sqrt(832))**2 + (sqrt(1872) + 1)*-3).\nAnswer: -9072 - 1009*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84b33 (base 12) to base 16.\nAnswer: 2a957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576921792?\nAnswer: 2, 59, 417617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:47 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, 75, 0, -700 in decreasing order.\nAnswer: 75, 2, 1, 0, -4, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11009 + 8794. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3826138 or 11478418\/3?\nAnswer: 3826138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = 0, -3*u + u + 5*t = -15. Let d = 30 - u. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 7*j**2 - 7*j - 2. Let a = -2 - -2. Suppose a = 3*h - 49 + 1. What is the remainder when h is divided by x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**5\/120 + a**4\/2 + 21*a**3\/4 - 7*a**2 - 25. Factor l(j).\nAnswer: (j + 3)*(j + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let w be t(-4). Let v = 172.91 - 173. Let p = v + 0.19. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 26. Let u be (p\/18)\/((-2)\/(-4)). Let f(d) = 4*d + 1. Calculate f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4268 and 27742?\nAnswer: 55484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2598114*p - 5. What is a(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 275124.1?\nAnswer: 275124.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/90 and 1063\/120 - (34 - 25)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*k - 63 = -124*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1759 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 42\/1*(-8)\/(-48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 + 134*y**3\/5 + 2432*y**2\/5 + 6144*y\/5.\nAnswer: 2*y*(y + 3)*(y + 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 * 0.161\nAnswer: 0.010626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53296 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -37. What is the remainder when 6 is divided by (-2)\/j - 210\/(-55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.831414 months in decades?\nAnswer: 0.10692845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250*a**3 + 53*a**2?\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*8\/84*231\/33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-552496)\/(-3) - ((-352)\/(-66) + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 0 - 3 - (-580 - -616)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -6 (c) 0.01 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29894.91 times 10\nAnswer: -298949.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.030313 - -5.03. Round j to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n. Let g be v(-4). Suppose -r + 0 + g = 3*i, 0 = i + 3*r - 24. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 2 (b) 3\/13 (c) -0.07 (d) -7\/135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/276430 and 7\/4670?\nAnswer: 129092810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 87 = -4*p - 283, 4*p = -12. Suppose -53*l + 57*l = k. Calculate the remainder when 165 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/54 + (-6)\/(-12) - (-5925)\/(-388125)*-50?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 110576\nAnswer: -110576.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 - 3*y**2 + 3*y - 1. Let f be d(2). Let j = f - -42. Find the first derivative of -7 - 14 - 5*r**j - 6*r**3 - r**3 wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 432 = -0*f. Calculate the greatest common divisor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -1629, -3920, -7195, -11454?\nAnswer: -16697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -7, -4.\nAnswer: -7, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.870706um to nanometers.\nAnswer: 7870.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -880\/19 or -46?\nAnswer: -880\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -346780338*s**2 - 538989077*s - 2?\nAnswer: -693560676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128427, -256846, -385259, -513666, -642067?\nAnswer: -770462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152 - 153. Let h(c) = -4*c - 1. Calculate the remainder when 8 is divided by h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/126)\/(2\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9674107, 19348262, 29022463, 38696710, 48371003, 58045342?\n\"Answer: 23*k**2 + 9674086*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 14) to base 13.\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 330614679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:08 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 2*r + 368 = 0, -5*s = 4*r - 434. Suppose -2*w + s = 3*i, 6*i = i - w + 143. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -205, -285, -353, -415, -477, -545?\n\"Answer: -f**3 + 12*f**2 - 109*f - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*g - 60 + 15, -28 = -2*t - 4*g. Let k(o) = 897*o + 253. Is k(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmiu when four letters picked without replacement from yumiewme.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2032400 divided by -406480.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 109?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3675, 3668, 3661, 3654, 3647, 3640?\n\"Answer: -7*o + 3682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (354\/(-232))\/(36\/(-24)). Let u = 14\/29 + v. Let j = 0 - 0. Which is the nearest to 1? (a) u (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 44*c**2 + 31126*c - 49619. Give q(-709).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077749 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 234259929 to the power of 1\/2, to the nearest integer?\nAnswer: 15306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15933 - 488?\nAnswer: 15456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 16216794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 1. Let d be z(-2). Let p(s) = s + 5. Give p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4612*d + 197*d + 1592*d + 122 - 124.\nAnswer: 6401*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2164 + 23807.\nAnswer: 25971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.37 (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15808 - 10297 = 227*t for t.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7438, 7799, 8400, 9241?\n\"Answer: 120*q**2 + q + 7317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-37)\/46)\/(4\/(-15996)). Let i = 17436\/23 - z. Let d = i - -2508. What is the common denominator of d and -127\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 1 + 3*u + 25.\nAnswer: 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 - 83*i**2 + 149*i - 619. What is k(26)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8886365 decades?\nAnswer: 8.886365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let g(j) = -352 + 708 - 354. Calculate g(c) - 4*s(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.91 - -1.44. Let m = -0.13 + o. Which is smaller: m or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 2*m**4 + 14*m**3 - m**2 - 14*m**3 to the form q*m**3 + u*m**2 + k*m**4 + t*m + h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let n(w) = -4014*w. What is n(o(y))?\nAnswer: -4014*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -3. Let p(a) = -2*a - 1. Let b be p(c). Let q be (b\/6)\/(2\/4). Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 22988 = -3*h + 187915, -2*i + 219896 = 4*h. Let l = h - 35875. What is l rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -805 by -161.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2. Let y(b) = 0 + 2*b - 2 + 2. Calculate x(y(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbqqquqxqbb. What is prob of sequence gqqq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 h when three letters picked without replacement from {h: 4, f: 4, u: 1, x: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**8\/14 + l**7\/30 - 69*l**5\/5 - l**2 - 589. Find the third derivative of f(i) wrt i.\nAnswer: -1440*i**2 + 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 302701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-2208) + ((-816)\/115)\/(-8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -13*j + 7. Let n be 0 + j + 0 + -3. Solve 6*t + 4 = n*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406252 - 17.60955?\nAnswer: -5406269.60955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 - 56. Suppose t - 3*v = -8, v + 3 = -5*t + c. Suppose -4*z + t*q = -106 - 150, -4 = 2*q. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = -623*j + 618*j + 4*d - 11, 4*d + 9 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38184067 is divided by 1047?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165162, -10, -2.\nAnswer: -165162, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45716699?\nAnswer: 7, 6530957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/10, 4, 435?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and 0.6795.\nAnswer: 0.6495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*a + 19, -1621*a + 5*n = -1615*a + 63 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1515\/150 + -10)*55 + (1 - 1).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 - 8532*b + 51264 = 0.\nAnswer: -4272, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 966\/13, 3, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 129215*p**2 - 3362125*p + 21859305.\nAnswer: 5*(p - 13)**2*(p + 25869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 203 = 473 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(931) + 4 + (sqrt(931) - (-1 + sqrt(931))) + 2 + -1)*-6*6 + 0 + 5)**2.\nAnswer: -106344*sqrt(19) + 1251097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51 - 224*m**3 + 2 - 10 wrt m?\nAnswer: -672*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 2*x**2 - 2. Let t = -2 - -2. Suppose c + 4*j - 11 - 3 = t, c + 10 = 4*j. Let f(p) = p**3 + p**2 + p - 1. What is c*f(b) - d(b)?\nAnswer: -2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 68. Let r be v(-23). Is 9\/4 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 70. Let b be h(-14). Solve 2*x + 0*x + 2 = b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102748681?\nAnswer: 7649, 144169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwwbbebbwbbbbwbww. Give prob of sequence wb.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w. Let h(n) = -4*n. Let m(p) = -2*h(p) + 3*j(p). Let a be m(-3). Let s be ((-70)\/(-21))\/((-4)\/6). Put 1, s, a in increasing order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3694 and -8617.30102.\nAnswer: -12311.30102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0.06, -3, 70, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from {f: 1, z: 2, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 378 = 5*o + 327, u + o = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.63 + -10. Let d = -5 + 5.07. Let p = k + d. What is the second biggest value in p, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 4*w + 7. Let s be v(3). Calculate the greatest common factor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**2 - 14*z + 5. What is n(2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 294545834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.7 + -31. What is the biggest value in 0, -1, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -1\/2*x**2 - 4*x + 19 - 1\/3*x**3 + 31\/4*x**4. Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/11 or 2?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 56, 114, 192, 290?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/9*3\/6*-3. Suppose -763474 = -l*a + 57390498. Suppose 0 = -2*p - a - 42923014. Round p to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Does 12 divide (-1)\/(((-2)\/g)\/(-118))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2824*f - 22*f**3 - 2824*f.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -414 divided by -18.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 + 77*g + 259. What is p(-4)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104717 - -179676. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7637, -7063, -6491, -5921, -5353, -4787, -4223?\nAnswer: -3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2513 divided by 4\nAnswer: 2513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 5*a - 24*a)*(-129*a**3 + 129*a**3 + 23*a**4).\nAnswer: -207*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1. Let r(l) = -l - 1. Calculate -6*b(v) - 5*r(v).\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(2\/25)*s)*s*s**(-4\/5))**(-17)*(s**(-1))**(-2\/7)\/(s**(2\/3)\/s**(-7\/2)) assuming s is positive.\nAnswer: s**(-24067\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(-3 + 4 + 0) + 92 - 504 + 17 + (2 - 1 + 1)*(2 - 1 - 2))*(0*r + 3*r - 2*r).\nAnswer: -399*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 240*g. Let s(y) = 34*y**2. Calculate x(s(a)).\nAnswer: 8160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*t + 4*j + 640, 205841*t - 205839*t = 3*j - 66 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2505471 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1495, -1620, -1745, -1870?\nAnswer: -1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 + -1141 + 23 + 3 + -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 7. Suppose -t = -7*m + 11. Solve -2*z + m = 3*x - 2*x, 2*z = 2*x + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 + 8*a**2 - 9*a**3 + 0*a**2.\nAnswer: -2*a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -535 (b) 0.5 (c) -108.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - l. Let r be m(1). Suppose -r*h = -2*h - 42. Suppose 2*w + 2 = -j + 17, h = 5*w + 4*j. Solve 0 = a - w*a + 2*t - 5, -2*a = 3*t - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2057) + 2 + sqrt(2057) + (sqrt(2057) + 0)*-3.\nAnswer: -11*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0 + 0*a - 4*a**2 - 1\/6*a**4 + 0*a**3. Let c(o) = -o**2. Give c(l(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 37. Let i = s + -59. What is the third biggest value in -3\/5, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 7:42 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -4, -3\/2, -0.1, 2\/3, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {k: 2, p: 1, x: 3, w: 2, m: 3, g: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4 = -l - 0*l, 2*l - 1 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(363) + 1).\nAnswer: 6 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 6:39 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*q - 4382, -1565 - 5008 = 3*h + 3*q. Let d = 4001 + h. Suppose 390 + d = -f. Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 186 - 3632 = 0. Suppose -5*n - f = 2*f - 5722, 3*n - o = -5*f. Suppose -n = -13*b + 860. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52723, -53447, -54171?\nAnswer: -54895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 783419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.15 (b) -8 (c) -0.08 (d) -1\/4 (e) -3 (f) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -214288 and -36.9.\nAnswer: -214324.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62260, -62187, -62060, -61879, -61644?\n\"Answer: 27*w**2 - 8*w - 62279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18025921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -30*a**3 - 2*a**2 - 2*a. Let t be o(2). Let h = 501 - t. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565026306.\nAnswer: 2, 3, 13, 7243927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2*j**3*k**2 + 5*g**2*j**2*k**2 - g**2*j*k**2 + g*j**3*k**2 - g*j**2*k + 44*j**3 - 2*k wrt j?\nAnswer: -18*g**2*k**2 + 6*g*k**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 12. Let s(t) = 2. Let b(l) = j(l) - 6*s(l). Let d(a) = -61*a**2 + 1. Give d(b(i)).\nAnswer: -61*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 - 9 - -1 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-9) + 7\/3. Let v be -1*62*h\/(-2). Let q = 312\/5 - v. Is q <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 108, 213, 374, 609, 936, 1373, 1938?\nAnswer: 2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -5 (c) 0.27 (d) 4\/33 (e) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3445599 - 0.0995.\nAnswer: 0.2450599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 604\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(((-3)\/2)\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 905858.3 millennia in months?\nAnswer: 10870299600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 9) in base 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/24 - r**3\/3 + r**2 - r - 4. Let i(w) be the first derivative of c(w). Determine k so that i(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -61616666?\nAnswer: -61616666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 804 (b) 2\/3 (c) 1\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5434 (base 9) to base 13\nAnswer: -1a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 788*v - 5 - 3 - 6.\nAnswer: 788*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 + 58888?\nAnswer: 58969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.33 + -2.8. Let d = -2.87 + 3. Let u = d + m. Which is the third biggest value? (a) -1\/3 (b) -2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -276729.9 and 11.\nAnswer: -276718.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110.2 - -0.1096?\nAnswer: -1110.0904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4544*o**3*u**2 - 19*o**3 - 10*o**2*u**2 + 104*o**2 + 31*o wrt u.\nAnswer: -9088*o**3*u - 20*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591549 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91859757.\nAnswer: 3, 11, 179, 15551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90897*j**3 - 5*j**2 - 8114*j wrt j.\nAnswer: 545382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/3 + 6*t**2 - 34*t - 2. Let z be 3*((-16)\/(-6))\/1. Let k be c(z). Sort -1, k, -5 in descending order.\nAnswer: -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1817860 + 102983.\nAnswer: -1714877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 - -181?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2244.\nAnswer: -1\/1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73085931.\nAnswer: 3, 8120659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)*q*q\/q**(4\/13)*(q*q\/(q\/(q*q**(-6\/31))*q))**(-17\/6) assuming q is positive.\nAnswer: q**(-57047\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -110, -196, -320, -494, -730, -1040, -1436?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5455 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 20, 3*x = 3*g - 15 - 3. Suppose s + g = 5. Solve -s*u + 3 - 11 = 0, 10 = -4*f + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:34 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-44)\/88 - ((-1486)\/4 + 0).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 0 - (-2)\/6. Let i = 2393\/5 + -479. What is the nearest to w in i, 0, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70060 and 32544?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -65*i**2 - 2*i - 16. Let o be d(-8). Let r be (o\/(-48))\/(2\/135000). Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 440 + 10435?\nAnswer: 10875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*h - 14706 = 78*h. What is the highest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.38 - 5.98. Let k = -4 + 2. Let q be (-2 - k\/6) + 2. What is the closest to q in z, 3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -1 (b) -0.4 (c) 26\/9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -5 (c) -0.7 (d) 0 (e) -180\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/16 + 4\/32. Solve -4*v = -q*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 260027131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570531774?\nAnswer: 2, 7, 17, 388169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m)**(-26\/5)\/((((m\/(m*m**(-3)))\/m)\/m)\/(m**(-2\/3)*m)) assuming m is positive.\nAnswer: m**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -737138 (base 9) in base 13?\nAnswer: -124622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*v - 3*v. What is the common denominator of 83\/8 and (3 + v)*(-322)\/357?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 take away 28.35?\nAnswer: -491.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1308250, 1308240, 1308218, 1308178, 1308114, 1308020, 1307890?\n\"Answer: -f**3 - 3*f + 1308254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y + 2. Let d be ((-3)\/(-3) - -4) + (-2 - (-180)\/(-58)). Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92483.\nAnswer: 23, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -60*r**2 + r + 1. Let l be (50\/40 + (-2)\/8)*-1. Let v be p(l). Calculate the remainder when 39 is divided by (-9)\/2*v\/27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 9) in base 12?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3477 - 1491. Suppose 0*d + h = 3*d. Suppose -14 + 39 = 5*t, 2*t - d = -4*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-18))\/(1 + 2). Which is the closest to -0.1? (a) -12 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*h + 52. Let x(y) = 138*y - 637. What is the remainder when x(5) is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/40 + i**2. Suppose -o - 3*c = 10, 4*o - 4*c + 2*c = 2. Let n(x) = x**3. Determine o*r(a) - 4*n(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 5. Let j be b(-5). Suppose -3*y = 3*p - 24, -j = -y - 2*p + 3. Solve 3*h - 5*d + d - 15 = 0, -y*d = 5*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 - 13*w - 4. Let c(p) = 1. Let o(x) = -6*c(x) + q(x). Let a(b) be the first derivative of o(b). What is the derivative of a(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:44 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2855527*g*p - 333442*g + 3 wrt p?\nAnswer: -2855527*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqcc when four letters picked without replacement from cccqcqcqqqccqccqqqc?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -856*b**3*d**3*x**2 - 2*b**3*d**2*x**2 - 1381779*b**3*d*x**3 + 1036*b**3*d*x - 6*b*d**3 - 37*d**3*x**3 wrt x.\nAnswer: -8290674*b**3*d - 222*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81.09 - -77. Let p = -4.59 - f. What is the closest to -1\/3 in -3\/2, -12, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*0 - -3. Suppose 4*w - 2*r = -12, 2*w + 16 = 6*w + 5*r. Sort w, -4, s in decreasing order.\nAnswer: s, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*g**2*k**4 + g**2*k - 176558*g**2 - 28983*g*k**4 + g*k - 1 wrt k.\nAnswer: -528*g**2*k**2 - 347796*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 + 0.1. Let i = 3 + f. Which is the third smallest value? (a) -5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/27 and -43\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 8*k**2 + 8*k + 10. Let p be q(9). Suppose p = c + 2. Is (c - 1) + 3*13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*q + 296 = 0, -4*q - 1179 = -5*i - 403. Let u = 675 + -447. What is the greatest common divisor of u and i?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -994, 0.21 in decreasing order.\nAnswer: 12, 5, 0.21, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4 - 2 = 4*u, 0 = -5*z - 5*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**4\/2 + 3*x**3 + 3*x**2\/2 - 8. Let p be t(-4). Suppose 0 = p*f + 21 - 9. Let v(w) = 3*w - 1. Calculate v(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5317 and 913706?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Let w(m) = 2547*m - 49749. Calculate w(a(v)).\nAnswer: 5094*v**2 - 49749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 508 + -2?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7 = k, -11 + 7 = -k - 2*i. Sort -4, -18, 0, k in decreasing order.\nAnswer: k, 0, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*s - 36 = -149, 74 = 2*r - 2*s. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 596824, -1\/28 in decreasing order.\nAnswer: 596824, 0.5, 0, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 39366112*r**2 + 96855634008660*r - 193711425481800.\nAnswer: 4*(r - 2)*(r + 4920765)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6 + 0)\/(16*8\/(-1344)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose -2*g - x = -0*g, -4*w = 4*g + 112. Is -4 + (-3694)\/(-3)*w\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.16 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (0 + 5 - -1). Let b(w) be the third derivative of w**2 + 1\/60*w**5 - 2\/3*w**3 + 0 - 1\/8*w**4 + 0*w. Give b(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39938 (base 11) to base 16\nAnswer: dec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**5\/12 - 3*z**4\/8 + z**2. What is the second derivative of b(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 21324950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 - 4*w + 3. Let x be z(3). Suppose x = -m - 4*b + 5, -3*m - 2*m + 44 = b. Does 7 divide (-2 + m)\/((-2)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than 4346180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 42180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14787927771 rounded to the nearest 100000?\nAnswer: -14787900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4 - 3*v + 6*v**2 + 10*v - v**3 - 6*v. Let g be (-1 - -7) + (-3 - -3). What is the units digit of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 516 + -511. What is the greatest common divisor of d and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -8. Suppose -d + 0*d = -24. Suppose x*c - c - d = 0. Solve -r + 10 = -c*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence medg when four letters picked without replacement from {e: 1, g: 4, m: 9, d: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(-5)*(-74)\/(-1776)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281623 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 2*o**2 + 6*o + 4. Let t be x(-3). Let h(i) = i**3 + 4*i**2 - 6*i - 8. Let g be h(t). Is -2 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = -27*v + 61*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*-1*(-4125)\/2200?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:55 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-568)\/2840)\/(1\/(-85)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 41*i**3 + i**2 - 357*i + 707. Calculate g(2).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75801032 bigger than 75801032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - 10*a**2 + 23*a**2)*(-24*a**2 - 671*a**3 + 49*a**2 + 25*a**3 - 25*a**2).\nAnswer: -5814*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25196 (base 13) to base 14\nAnswer: -1acd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25060926 and 25060926?\nAnswer: 25060926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -28*t**2. Let k(o) = 27*o + 4. Give k(c(u)).\nAnswer: -756*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 6 + 6 + ((3*j**3 - 6*j**3 - 3*j**3)*(-3 + 5 + 4) + 5 - j**3 - j**3 - 3)*(-1 - 3*j + 1).\nAnswer: 112*j**4 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**4\/24 + 6*c**3 - 4*c**2. Let h be q(23). Suppose 6*l + 23 - h = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*r = -1013*r - 7320 + 1320 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 596 and 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -55, -80, -87, -70, -23, 60, 185?\n\"Answer: t**3 - 44*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -41*a**2. Let v(m) = 33*m - 3. What is v(p(t))?\nAnswer: -1353*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.411 + -1.439. What is g rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*y + 16, y + y = 5*x + 8. Suppose -y*g = -8*g. Let m = g + 7. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6528 + 6526 + 4919*v**2 - 8*v - 715*v**2.\nAnswer: 4204*v**2 - 8*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 17781675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 h when three letters picked without replacement from bhbbbhhbhhbhbhhhbb?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 s, and 1 e when four letters picked without replacement from {e: 3, o: 7, s: 9}?\nAnswer: 189\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01190959562 rounded to five dps?\nAnswer: -0.01191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19966.42 litres in millilitres?\nAnswer: 19966420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -13*m - 20. Suppose 732*h = 756*h - 24. Which is the nearest to -40? (a) h (b) m (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 2*o**2 + o + 1. Let u be (-3 + -2)*(-2)\/(-5). What is g(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let n(z) = -z**2 + 4*z + 5. Let t be n(5). Suppose -m - 4*m = t. Solve 0 = s*b - m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-12) + (-399)\/(-4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 2989*a**2\/2.\nAnswer: a**2*(a + 2989)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 7*f**2 - 9*f - 4. Let m = -2 + -6. Let p be y(m). Suppose p*h + 5*r = 3246, 4*r = -3*h + 1700 + 735. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25\/28 (b) -95.9 (c) 15\/4 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3424 or -3339?\nAnswer: -3424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117175520 is divided by 207758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1623360 and 149\/1800?\nAnswer: 24350400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470387?\nAnswer: 3, 29, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 9}. What is prob of picking 3 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 12. Let w be n(-3). Suppose w*z = 11*z - 145. Suppose 5*c = -7*b + 5*b + z, 0 = 3*b - c - 1. Solve l + 4 = -5*k + b, 5*k - 2 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - (3 - ((-3 - -10) + -7))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 15, -4*y - 4*i = -9 - 31. Suppose 6*s - 29 = s - 2*w, 0 = 2*s - y*w. Find the common denominator of (79\/s)\/(-1)*(-30)\/36 and 97\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58971804 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -82414314 - 86376?\nAnswer: -82500690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + x**4 - 5)*(-1 + 0 - 1) + 651*x - 7*x**4 - 651*x.\nAnswer: -9*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71361, 285462, 642297, 1141866?\nAnswer: 1784169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*b + 1247, 5 = -3*b - 4. Suppose 339 = 5*w + g. Solve 5 = w*c + 5*z, 4*c + z = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9319547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360 + 378. Solve n*z - 22*z = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1372) + sqrt(28))\/sqrt(4).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -106, -267, -504, -823, -1230?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1953\/35 + (-4)\/5. Let j be (i\/(-60))\/(5\/(-9)). Let z = -3\/20 + j. Sort 1, z, 3.\nAnswer: 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -8*z**3\/3 - z**2\/2 - 13*z - 211. Let h(u) = -100*u. Calculate h(p(i)).\nAnswer: 1600*i + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from nilvvznnnz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 17. Let l(k) = -4*k**2. Determine l(x(f)).\nAnswer: -64*f**2 + 544*f - 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 21*r + 12. Let v = -82 - -103. List the prime factors of x(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u - 9. Let j(l) = l - 1. Let a(v) = 6*j(v) - z(v). What is the units digit of a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17377170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-172)\/(-40))*2\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 22*g**2 + 38*g + 36. What is u(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1399, -1407, -1429, -1471, -1539, -1639?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(16\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 457196, -5, -0.45.\nAnswer: -5, -4, -0.45, 457196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71974659 to the nearest integer?\nAnswer: 8484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by 408.\nAnswer: -27\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1853 - 734. Suppose -71 = -10*r + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-4) - (-4)\/(-8)*-10. Is 1\/2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*1 - sqrt(171))**2 - (4 + (sqrt(19) + 0)**2).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 7857.\nAnswer: 7857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23735*f**2 - 13088*f - 566748038.\nAnswer: -47470*f - 13088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 461, 5, -1, 109 in ascending order.\nAnswer: -3, -1, 1, 5, 109, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -28. Suppose 5*z - r = -2*g, z + z + 3*g = 7. Let o = -136 - -136. Solve o = -z*d - 11 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:34 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -9, -46, -119, -240?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - -45 - (24 + -30). Let w(n) = -2*n + 7. Let a be w(5). Let c = a + v. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 24*p**3 - 2 + p**3.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173998 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000687258886 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 16655*z**3 - 54070*z**2 + 16420*z + 50200 = 0.\nAnswer: -2510\/3331, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 4*r + 2886. Let f be r\/(-2430) + (-16)\/360*-9. Is f bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13004 is divided by 700.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 2 + b + b**2 + 2*b**2 - 2*b**2. Let l(p) = p**2 - 5*p - 2. Let s be l(6). What is t(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -10*w + 67. Let h = w + -9. What is the third derivative of 339*q**3 - 339*q**3 - 20*q**6 + 4*q**6 + 16*q**h wrt q?\nAnswer: -1920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -668*(34\/8 + -4). Suppose 7*m - 4*b + 182 = 6*m, 4*b = -5*m - 814. Is u > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344 - 483. Let g = 139.00000143 + t. What is g rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 187.3074238 to 0 dps.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1685 + 0?\nAnswer: -1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*p, 293 - 13 = -3*b - 5*p. Let w = 123 + b. Suppose 25 = -c - 4*c, -5*r + 4*c + 85 = 0. Calculate the remainder when w is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 6128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkc when three letters picked without replacement from {c: 2, k: 14, t: 1}.\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*a + 7, 2*a + 3*a - 10 = 3*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 1:24 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, -31, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -11.9. Let o = 180488 + -180492. Which is the second biggest value? (a) x (b) o (c) -7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*14\/9*(-180)\/(-120).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Let p(y) = -5*y**2 + y + 11. Give -22*o(j) + 2*p(j).\nAnswer: -10*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 17\/(-1)*1. Let l = -217 - -132. Let n = 86 - l. Calculate the highest common divisor of b and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-14))\/(8 - (-165)\/(-21)). Suppose -3 = 3*a - 9. Suppose -a*i = -10, -n*c - i + 95 = -c. What is the least common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.017 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19520 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1709c (base 16) to base 4.\nAnswer: -113002130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 = f. Let s = f + -4. Let j(p) = 2*p**4 + 2*p**3 - 2*p - 2. Let c(x) = -x**4 + x**2 - x - 1. Let h(z) = s*j(z) + 2*c(z). Factor h(r).\nAnswer: -2*r**2*(r + 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*u - 10622*u - 21538*u.\nAnswer: -32731*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 5*p + 2. Let r(g) = -6*g**3 + 1. Let l be r(1). Let b be y(l). Suppose b*t + t = 141. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 9*h**2 + h + 5. Let l be (-1)\/(2*2\/(-28)). Calculate the remainder when w(l) is divided by 20\/35 - (5 - 454\/14).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 382, 5, -146 in decreasing order.\nAnswer: 382, 5, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 2 = -15*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**6\/540 + c**5\/90 - c**4\/36 - 2*c**3 - 3. Let l(m) be the third derivative of o(m). Factor l(k).\nAnswer: -2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let z = -18.0575 + 17.0575. Which is the smallest value? (a) 3 (b) y (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1132\/5 (c) -4 (d) -15 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = -t + 3, 0 = 5*t + 5*f. Let i(v) = 3*v**3 - v**2 - 2*v - 1. Let j be i(-1). Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 23 = -4*v, -35 = -5*u - 12*v + 7*v. Solve 0 = -2*w - 5*i + 3, -u*i + 18 = w + 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*n + 4, -3*n + 0*g + 12 = -3*g. Suppose -2*r = n*r + 15, -x + 5*r + 19 = 0. Suppose 0 = x*d - 0*d - 388. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -575 - -577. Solve -y*s - 3 = -3*m + 2, -s - 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**2. Let k(t) be the first derivative of 0*t**2 + 0*t + 35 - 2\/3*t**3. Determine k(y(f)).\nAnswer: -512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-37604)*4131\/1458?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1081337609562 and 9?\nAnswer: 1081337609571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 + 3*z + 3. Let d(g) = -4*g**2 + 2*g + 2. Let f(v) = 3*d(v) - 2*t(v). Let b(i) = -3*i. Determine b(f(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-432 + 3 + 1)*(-3)\/(-30)*-15. Calculate the highest common factor of r and 1391.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3786.6 and -0.31.\nAnswer: -1173.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 1d01e?\nAnswer: -1d01a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 2*y**2 - 2*y + 9079*y**3 + 11*y**4 - 9078*y**3 to the form u*y**2 + l + v*y**3 + w*y + b*y**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-2\/13))**19)**50)**(-25))**(-1\/23) assuming j is positive.\nAnswer: j**(-47500\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + 1468\/(-8). Let q = m - -214. Is q <= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from tpptvvssppposys?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -3, 4, -2, -24, -5 in decreasing order.\nAnswer: 69, 4, -2, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25599 - -25604. Which is the nearest to -20? (a) 1\/3 (b) -0.1 (c) n (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 + 2721795*z - 35382828 = 0. Calculate z.\nAnswer: 13, 907252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k - 52. Calculate p(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -1 + 1\/1. Suppose 0 = -3*q + w, 0*q + 12 = 5*j + q. Suppose -12*p + 6*p + 30 = 0. Solve p*l - 3 = j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*d = -14, -1681747 = -2*d - 1681751 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 5*u + 77. Let g = -17 + u. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 14*n - 19 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013668247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34255, -40435, -46615?\nAnswer: -52795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -47 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 - 1)*(2*u**3 + 366*u - 366*u + (-3*u + 3*u**2 + 3*u)*(3*u - 5*u - u)).\nAnswer: -49*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1432 and 1433 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yym when three letters picked without replacement from {m: 1, y: 6, b: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1482*x**4 - x - 159?\nAnswer: -17784*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let o(t) = -t**3 - t - 1. Let f be o(-1). Let u be 3\/f + 2\/2. Let z(j) = -u*j**2 - j**2 + 3*j**2. Determine z(d(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 21. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*q - 253 = 0, -4*z + 266 = 4*q + 6. What are the prime factors of -59 + z - (-394)\/2?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 8) in base 4?\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**2 + 4365*y - 58297.\nAnswer: 4*y + 4365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-900)\/110 + 8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: c1948 (base 14) to base 11\nAnswer: 298870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248227331.\nAnswer: 11, 941, 23981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-6)*(-87565)\/(-25)*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r - 2. Suppose -i + 12 = 11. Let x be f(i). Suppose 3*v - 5*v = -2*o - 64, 2*o + 157 = x*v. What is v rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4491 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 26) + (23 - 13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -0.1, -9, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*f**2 - 139*f**2 + 264*f**2 + (6*f**2 - 3*f**2 - 2*f**2)*(-2 + 2 - 2 + (2 - 2 + 2)*(3 - 1 + 0) + 3 - 3 - 6) in the form b*f**2 + h*f + v and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -26*l**2 - 318614*l - 3. Let r(j) = 2*j. Give d(r(t)).\nAnswer: -104*t**2 - 637228*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 3153 = -3374 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 23841 = 0. Let g(a) = -474*a - 3. Let i be g(6). Let u = i - w. What is u rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*u + 462, 10*u - 314 = 7*u - 4*l. Let h = 35 - 90. Let a = u + h. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 7*z + 61. Give s(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44937, 45159, 45381, 45603?\nAnswer: 45825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -235 - -353. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 173195456.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 44, 45, 48?\n\"Answer: p**2 - 4*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 12*n**2 + 11*n + 7. Let i be r(11). Let t = 6 - i. Does 3 divide (-2)\/t - (0 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 4, -1\/5 in increasing order.\nAnswer: -1\/5, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -0.1, 5\/3, -1\/2, 0.3 in decreasing order.\nAnswer: 32, 5\/3, 0.3, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r*r\/(r*r\/r**13)*r*r)*r*r**(-1))\/((r*(r**2*r)\/r)\/r*r*r**(2\/5)) assuming r is positive.\nAnswer: r**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28435 is divided by 5645.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37227.48 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -1\/2, 0.5, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 174 = r + 2*v, -360 = -2*r + 5*v. Suppose -6*f + r = -2. Let h = -3 - -7. Calculate the highest common factor of h and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47352394 divided by -919.\nAnswer: 51526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -8*g + 21. Let i(f) = -130*f**3 - f**2 - 133*f**3 - g*f + 264*f**3 + 2. Give i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3 - 8 - 26*b**2 + 11. Let l(m) = m. Give l(q(j)).\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4657*r**3 + 45*r**2 + 6*r - 98. Let u be w(-13). Round u to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154 divided by 6?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11077790 or 11077791?\nAnswer: 11077790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167476861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j + 14*j - 6*j - 2*j. Let a(v) = -v. Let i(k) = -55*k. Let y be (-5 - 0)*1\/1. Let p(o) = y*a(o) + i(o). Calculate n(p(c)).\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 - 4*k**2 + 4*k + 4. Let x(l) = 24*l**3 + 33*l**2 - 33*l - 33. Let p(m) = -m**3 - 7*m**2 + 4*m - 5. Let y be p(-7). Calculate y*n(r) - 4*x(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (145\/80)\/((-1)\/44)*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 359, 781, 1365, 2111, 3019, 4089?\nAnswer: 5321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/1080 - k**5\/180 + k**4\/72 - k**3\/2 - k**2. Let j(b) be the first derivative of v(b). What is m in j(m) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102125232 - -3?\nAnswer: 102125235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 124 = 124 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.84 - -0.16. Let n = o + 7. Let f = n - 12.6. What is f rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7)*2*-5.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 31396706078332?\nAnswer: -31396706078331.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s - 2160 = 66*s. Let x = s - -95. Is x < -134\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102080 divided by -1276?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174 - 626 = -120*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:49 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 - 3*d - 8. Let g be j(-4). Suppose 66 = g*n + 2. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 50. Which is the third biggest value? (a) i (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwllwlwvlwlwwwwwlw. What is prob of sequence wlv?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0915057657 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89961 is divided by 151.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822491?\nAnswer: 3822491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + h - 12 = 0, -3*h + 7 - 1 = 5*x. Suppose -d - 4*o + 3 = -x*o, 2*d + o = 7. Let n be 24\/20 - 9\/9. Which is the closest to -2\/3? (a) n (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 7*c + 3. Suppose 5*y - 1 = f, -2*y - y - 3 = 0. What is the remainder when 25 is divided by s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 (base 16) in base 4?\nAnswer: 22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 9*b - 7. Give o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 372 + 5?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*z - 13 = -3*z, 0 = 3*m - 3*z - 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 + 2)*(-56)\/6. Suppose 42 = 4*b - 38. Let a be b\/25*15*1. Calculate the highest common divisor of a and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 35 = -4*q + 25, 4*q + 3*a - 67 = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**7\/840 - g**6\/60 - g**5\/15 - g**4\/12 - 4*g**3\/3 + 3*g. Let u(o) be the second derivative of k(o). Give u(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238072423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 274233*o - 2 + 2344308*o.\nAnswer: 2618541*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -10 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-14 + 37 + -38 - -11) + 103\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*k + 470147 = 485288 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 73c0d9 (base 15) to base 7\nAnswer: 64550622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 29.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 15) in base 16?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22680246 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 10, -1\/3, 154, 0.4, -1, 1\/38?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1263*-18\nAnswer: 22734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -47 + 65 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8384 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by 88.\nAnswer: 59\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - (48 + -95)) + -68.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z - 6. Let u(i) = 3*i**2 - i - 1. Let a be u(-1). Find the second derivative of 3*w**3 + z*w**3 + 2*w + a*w**3 - 2*w**3 wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 151 - 16. Solve -g = -3*u + 4*u + 3*z, -u = -5*z - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237 - -234. Let z be (0 - s) + 25 + -23. Solve 0 = 6*p + z - 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:56 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 8:22 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(sqrt(112) + 0)*1 - ((sqrt(112) - (sqrt(112) + 6*(1 + sqrt(112)))) + -3)))**2.\nAnswer: 7128*sqrt(7) + 122697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {q: 13, u: 1, j: 1}?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/14)\/(-11)*-30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -8*z + 64. Calculate the lowest common multiple of 24 and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*a + 90 = -0*a, 4*j - 4*a = 64. Suppose d + 2*l = -d + 6, -4*d + j = -l. Solve d*g + 0 = 2*w - 6, 16 = 4*w - 4*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31640209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:18 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -1439.34, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, 1, -36, -93, -15 in descending order.\nAnswer: 4, 1, -1, -4, -15, -36, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26949 + 28005. What is the smallest common multiple of u and 39?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 59?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 8*j - 333. Calculate the least common multiple of 11 and j.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*w = 4*g - 5, -2*w + 10 = g. Suppose 0 = -4*b - 13 + 29, w*b + 334 = 2*k. Calculate the remainder when k is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3443000 = 9*o. Round o to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 46 + 1454 = 0. Round k to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 441\/8 + -55. What is the nearest to 2 in 2, o, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1041612, -1041449, -1041284, -1041117, -1040948, -1040777, -1040604?\n\"Answer: i**2 + 160*i - 1041773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 437580973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54898 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 0 + 3 - 1 + g. Let x be p(-2). Let j be x\/10 + (-112)\/(-20). Solve -2*f = -j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q - 93. Let x be i(6). Let g(j) = -j + 5. Determine g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 11. Calculate r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13f (base 16) to base 5\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-2)*14*13\/455?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 7. Let o = -0.033 + -4.717. Let s = u + o. Round s to 1 dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*z + 21, -n - 15 = -3*n - 3*z. Let w be (6\/27)\/(1\/n). What is the third biggest value in -3\/2, w, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*p**3*q - 3*p**3 - 717*p**2 - 57*q**3 - 5 wrt q.\nAnswer: -29*p**3 - 171*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 14*h - 1. Let i be g(12). Solve 3*n = -5*m - i, -5*m - 25 = -5*n - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.1 + 32. Let t = -340.3 - -340. Put 26, t, -5\/2, r in descending order.\nAnswer: 26, r, t, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2357*u**5 + 115665*u**3 + 702931386*u.\nAnswer: 47140*u**3 + 693990*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337*h*w**2 + 386*w**2 - 1 with respect to h.\nAnswer: -337*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-760)\/(-168)))\/((-9)\/(-30)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36764470 to the nearest ten thousand.\nAnswer: -36760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 913970611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2 + 0*v + 2*v**2 - 1\/3*v**3. Let j be 2*3\/6 - -4. What is p(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven thirds of a hour?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 8, 5*h + 9*y - 1755 = 14*y. Let i = 300 + -88. Let c = h - i. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -386, -566, -724?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 2*q**2 + 9*q - 3. Suppose -140*j = -144*j + 96. Suppose 2*a = -4*k - j, 11 = -2*k - 5*a - 17. Determine v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = q, 3*q + 2*q - 3*u - 15 = 0. Suppose -q*b + 3*f + f - 26 = 0, -b - f = -3. Are -4\/3 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - x - 1. Let i(b) = -2*b**2 + 6*b + 6. Let p(j) = -6*a(j) - i(j). Let o(d) = 4*d**2 - 4*d**2 - d**2. Determine p(o(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5, 43*l + 2553 = 5*g + 46*l. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.53854mm in meters?\nAnswer: 0.01153854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1535.533l?\nAnswer: 1535533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 32. Suppose 3*s - 16 = -4*w + 8*s, -5*w - 4*s + 61 = 0. Calculate the remainder when g is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 73 = -77. Let v be (-41 + 71)*(-2)\/u. Let f(l) = l + 15. Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/((-16)\/(-1368))*(-16)\/(-80)*-10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40733 divided by -11?\nAnswer: -3703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 18 = h. Let k be h + 3 - 2*(-7)\/14. Suppose -k*z + 15 = g, 2*g = 2*z + 1 + 5. Solve -z*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1998*r**3 + 232*r**2 wrt r.\nAnswer: 11988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1 + 13 + (-1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7035025, 14070045, 21105065?\n\"Answer: 7035020*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8876 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o + 20. What is j(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*l - 27, -2*r - 2*l = 2*l + 16. Let w(o) = 2*o**2 - o**r + 2*o**2 - 4*o**2. Let x(k) = -3 + 3 + 8*k. What is w(x(i))?\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {r: 2, e: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-5) - (-5 + 3879\/351)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50163\/8 + -6259. Find the common denominator of 45\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 698081681 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**2 - 1200*s - 11483. What is q(-9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g**2. Let j(w) = 65*w**2 + 3*w - 3. Give j(v(z)).\nAnswer: 9360*z**4 - 36*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -1141597 = -71920540\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, f: 11, j: 1, l: 3}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.77 and -0.2.\nAnswer: -6.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 763, 1508, 2313, 3208, 4223?\nAnswer: 5388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 7*g - 4. Suppose -3*i - k = 3*k - 1223, 3*i + g*k - 1219 = 0. List the prime factors of ((-8)\/(-6))\/(6\/i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-6) + (-68)\/(-24). Suppose 9 = -3*x, -5*x - 2 - 8 = -5*n. Put -4, n, b in ascending order.\nAnswer: -4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 6*t**2 - t. Let s be r(-6). Suppose 5*w = -x + 80, 0*w - 3*x + 36 = 3*w. Let b = s - w. Do -10 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 5. Calculate k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/(sqrt(44)\/sqrt(44)) + 3 - ((sqrt(65)*1 - sqrt(65))\/sqrt(5)*-3 + (sqrt(468) - sqrt(468)*-1)**2).\nAnswer: -1869 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uudpbhhhhphuhhudphhp. Give prob of sequence bh.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114256296433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {q: 1, i: 1, k: 2, x: 4, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 7*p**3\/3 + 3*p**2\/2 - 3. What is the second derivative of q(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1097461 - 1097457. Find p such that -99*p**2 - 31\/3*p**3 + 2662\/3 - 605\/3*p - 1\/3*p**m = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -179, -181, -183, -185, -187, -189?\n\"Answer: -2*q - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 12*v + 28. List the prime factors of q(9).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(18)\/sqrt(3)) - sqrt(9))\/(1*sqrt(192) - sqrt(3)) - (sqrt(15)\/(sqrt(220)\/sqrt(11)) + 4).\nAnswer: -4 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/34 + -103\/816. Let b(t) be the second derivative of 0*t**2 + h*t**4 + 0 + 1\/24*t**3 - t. Determine q so that b(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Let v(u) = -174996*u**2. Give g(v(x)).\nAnswer: 61247200032*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/3 + 473932*d\/3 + 315952 = 0.\nAnswer: -236964, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 z when three letters picked without replacement from {j: 1, k: 1, l: 1, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 1. Let f be s(3). Let n = 13 - 11. Suppose -q = -n + 4. Which is the second smallest value? (a) f (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -13.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*h + 1401*h + 11059 = -1109*h - 7461 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 411260 divided by -5\nAnswer: -82252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (-7 - (-20 - -6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -34. Let y = 11.1 + w. Let z = -4.5 - -5. What is the second smallest value in y, z, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = -3*g + 5*p, -g + 22 = 5*p. What is the remainder when 23 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 12*y + 149*y**2 - 4 - 147*y**2 - 2*y**4 as j*y**3 + w*y + t*y**2 + c*y**4 + d and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1208*x**3 + 20*x**2 - 431*x - 113?\nAnswer: 7248*x + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62697 is divided by 18253?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(-5 + -1*sqrt(833) + sqrt(833) + 3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 - 3*l - 1 - 2*l**2 + 3*l. Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - d46?\nAnswer: -d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n - 9. Let m be l(-2). Let u(y) = y**3 - 6*y**2 + 8*y - 3. Calculate u(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y**2 - 1. Suppose z = 5*p + 21, 0 = p + 2 - 1. Suppose o = d - z, 7*d - 2*o - 86 = 2*d. What is the remainder when f(2) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 19*t - 17. Let q be v(1). What is the greatest common factor of q and 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253 or -254?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-19111.\nAnswer: -171999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49951960?\nAnswer: 2, 5, 1248799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13142325\/8 - -1645221. Let l = b - 7135201\/2936. Find the common denominator of l and -97\/12.\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3503\/6 + 597. Calculate the common denominator of z and (-103)\/(-6) - (0 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -1 - (-85 + 89 - 8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 186. Calculate the greatest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0119318 grams?\nAnswer: 0.0000000119318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455473561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 922 divide 4951140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 + 11*d - 140. What is l(-12)?\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oydnngzdggoy. What is prob of picking 1 z and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*s + 10, z + 3 - 1 = -601*s + 604*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 + 706949.0335?\nAnswer: 707490.0335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -t + 3*t - 10, -3*t = w - 27. Let o be -3 + 0 + -3 + t. Let k(z) = z - 15*z + 14*z - 7*z**o. Let n(c) = c. Calculate k(n(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.52 times 270\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/3*(-4)\/(-12)*111.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688363.\nAnswer: 7, 526909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*1*sqrt(144))\/(sqrt(12) + sqrt(972)*-3 + sqrt(12)))**2.\nAnswer: 48\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Let c be (-1 + j\/4)*8. Let d(n) = -c*n + 12 - 4 + 3*n. Give d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.026 + -0.01. Let n = -11.56 + 9. Let h = 3.06 + n. What is the closest to 1\/2 in -0.3, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222 + 326. Let g = c + -105. Let o = -1.8 + 2. What is the biggest value in 2\/11, 2\/7, g, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + y)*(-3 - 2 + 4)*(-2901 - 64*y + 2901).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164698709?\nAnswer: 7, 23528387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + l + 2*l = 103, 69 = 2*z + 5*l. Calculate the lowest common multiple of z and (24\/9)\/(1\/15).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -3\/7, -1, -90\/23?\nAnswer: -90\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -72. What is the remainder when 54 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3966*w - 11913*w + 3971*w + 3938*w.\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14340 and 77796?\nAnswer: 92966220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -0.23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/23758520 and 113\/15093648?\nAnswer: 1282960080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12\/5)*v**3*v)\/(v**(-2\/7)*v*v**2) assuming v is positive.\nAnswer: v**(-39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 94*q + 5217. Calculate d(-61).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c57ac + -2?\nAnswer: -18c57b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from gscgggggdddscggvv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/77)\/((-10)\/(-4))*-1*(-6)\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.0673 + 0.0227. Let w = -0.09 + d. Which is the closest to 0.2? (a) 2\/7 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w\/(w**13*w))\/w))\/w*w**(-7)*w\/(w\/((w**(3\/17)\/w*w)\/w))*w\/(w**37*w))**(-3\/7) assuming w is positive.\nAnswer: w**(1521\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*k**3 + 2680*k - 2680*k.\nAnswer: -2551*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffwwwwfp. Give prob of sequence pfff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/19)\/(s\/s**(1\/3)*s))\/(s**(-5\/4)\/s**(-4)) assuming s is positive.\nAnswer: s**(-1031\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16396, 65645, 147720, 262615, 410324, 590841?\n\"Answer: -h**3 + 16419*h**2 - h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999121.3ml to litres.\nAnswer: 999.1213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -382 + 375. Let q = -0.6 + 0.1. Let m = -0.5 - q. What is the second smallest value in 1\/5, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577221242 divided by 1\nAnswer: 577221242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/10*(-14)\/126*-6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-2)\/8)\/(-1))\/(5083\/340 - 15). Sort q, -518, 0 in ascending order.\nAnswer: -518, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0.064, -1\/8, 0.02 in descending order.\nAnswer: 4, 0.064, 0.02, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -163 - 712 + 5 - 102*h. Let z(u) = u**2 - 1. Let c(f) = -s(f) + 3*z(f). Factor c(x).\nAnswer: 3*(x + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcj when three letters picked without replacement from {z: 1, b: 2, a: 3, j: 3, c: 1, h: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212015?\nAnswer: 5, 42403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 2*k**2 - 3*k + 3. Let h be n(2). Let o = -63.7 - -60. Let x = o + -0.3. Put h, x, 3 in decreasing order.\nAnswer: 3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1285240 and 264?\nAnswer: 3855720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (198\/110)\/(108\/90)*(-56)\/18\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75000 divided by 3?\nAnswer: 25000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from {y: 8, s: 3, k: 1, z: 1, p: 6}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/99032 and 1\/111411?\nAnswer: 891288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.87546992 to 3 dps.\nAnswer: 2.875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 21 = -3*v, -v - v = 3*o + 15. Let u = -274 - -159. Let x = u - -120. Which is the second biggest value? (a) v (b) -4 (c) -3\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 3*h**3 + h**3 + 17*h + 6*h**3.\nAnswer: 4*h**3 + 36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65360 and 6556425?\nAnswer: 4085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**3 - 40*q**2 + 35*q + 30.\nAnswer: -5*(q - 1)*(q + 2)*(5*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 668 (base 11) to base 8\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395 + 390. Let v(w) = 6*w + 25. Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201442199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21617 (base 8) to base 4\nAnswer: -2032033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 569, 327, 85?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or -109924?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 5*f - 2. Let q(z) = 4*z**2 + 6*z - 1. Let c(n) = 4*q(n) - 5*y(n). Let m be c(0). What is the highest common divisor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)\/o**(-2\/7))\/(o\/(((o\/(o\/(o*o*o*o**(-1\/4)*o)))\/o)\/o)*o*o*o)**(2\/55) assuming o is positive.\nAnswer: o**(-527\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*q - 8062, 5*m + q + 0*q - 20143 = 0. Suppose 8*r - m - 1276 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20174361 divided by -6.\nAnswer: 6724787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 701*g + 2713. Determine c(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -75*v**2 + 3*v - 5. Let d(z) = -76*z**2 + 2*z - 4. Give -2*c(n) + 3*d(n).\nAnswer: -78*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-65)*(-4 - -14))\/2. What is the fourth smallest value in -5\/2, 1, u, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4005 = -388*t - 5097 - 12488 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdl when three letters picked without replacement from udazzazlgua?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/42 - (-66)\/14. Let g(p) = r - 6 + 3*p - 2*p. Let y(z) = 12*z - 11. Determine -22*g(h) + 2*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 17. Let p(z) = -5*z**3 + 14*z**2 + 8*z - 5. Let k(u) = 2*u**3 - 5*u**2 - 3*u + 2. Calculate g*k(m) + 3*p(m).\nAnswer: m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfg when three letters picked without replacement from {o: 1, f: 8, w: 3, z: 2, g: 1, u: 3}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23585*m = -23592*m + 3*o - 46, -3*m - 5*o + 62 = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - a38946?\nAnswer: -a38932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2091\/2 - -1044. Which is the closest to -1? (a) 1\/4 (b) -3 (c) k (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -63*c**2 + 4599*c + 27. Let o be k(73). What is the second smallest value in -0.6, o, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k + 1)*(5 - 3 + 3)*(-3 + 0 - 3)*(-1 + 3 - 1)*(5*k**3 - 3*k**3 - k**3) + (2 + 2 - 3)*(-k**4 - 2*k**4 + 4*k**4).\nAnswer: 31*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c79ec (base 15) to base 12.\nAnswer: -1597973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 33\/5, 0.1, 32 in increasing order.\nAnswer: -6, 0.1, 33\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 - v**4\/6 + v**3\/3 + 31*v**2. Let p be q(-4). What is the biggest value in 2\/13, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:14 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrisxrqsssssrs. What is prob of sequence qi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 7*b - 3. Let t be l(-6). Suppose -3*k + 5*c = -15, 5*c + 0*c = 4*k - 15. Solve k = t*x + 1 + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8755 and 279645.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:33 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2*(20\/8)\/1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let g(d) be the second derivative of d**4\/6 - 49*d**2\/2 - d - 25. Let l(v) be the first derivative of g(v). Calculate l(f(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -2*v, 4*s + 4 = -5*v + 19. Find the first derivative of s - 4*a**4 - 3 - 2 wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64904871 rounded to three decimal places?\nAnswer: -2.649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.005 and 12?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = 8. Let i(w) = 4*w**2 + w + 1. Let a be i(g). Suppose -5*l = -7*l + a. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1)*((-1)\/(-2) + -1). Suppose -k*m - 4*m = m. Let h(z) = -z**3 + z**2 - z - 6. Determine h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -585724.6 to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/9 - (84\/(-252) + (100\/15 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16775 and 54351.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) + (sqrt(2160) - (sqrt(2160) + sqrt(2160)*-2 - sqrt(2160)))*1 + sqrt(2160) + sqrt(2160))\/(sqrt(45)\/(sqrt(144)\/sqrt(4))))**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 5*f - 25, -1515*v - 27 = -1512*v - 4*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 + 0*m - 2*m + 415 - 251*m**2 - 159.\nAnswer: -251*m**2 - 2*m + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -80*z - 6811. Let i be u(-85). Let x(j) = -j**2 - 14*j - 38. Give x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099714.\nAnswer: 2, 7, 11, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + -2 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -54, -2 in descending order.\nAnswer: 43, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 204, 188, 172, 156, 140?\n\"Answer: -16*d + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20))\/(2\/10*6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 50.4. What is the smallest value in 21, j, 2\/17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64517345 to the nearest integer?\nAnswer: 8032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 2. Calculate v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 26*g**3 - 2*g**2 + 17*g**3.\nAnswer: 43*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 520123350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - d**2 + 2*d + 96120000. Let y be b(0). Round y to the nearest 1000000.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and (-567)\/(-162)*48\/7?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204023141 (base 5) in base 4?\nAnswer: 3032121231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 436*i**2 + 42*i - 89. Is n(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 115. Suppose -16 = -0*i - 8*i. Suppose l = i*s - 4*f, -3*f = -f - 8. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22 + 0.18. Let j = -0.5 - 3.5. Sort j, s, 1 in ascending order.\nAnswer: j, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 128)\/25 - (-5)\/1. Which is bigger: i or -71\/158?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6) - (-1148)\/2460?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3598 is divided by 498?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26370\/19 or 1389?\nAnswer: 26370\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 64*f**4 - 97 - 138*f**3 + 49 + 32*f**5 - 64*f**2 - 30*f**5 + 48 + 136*f = 0.\nAnswer: -34, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 62, -4, -3, 22, 1 in descending order.\nAnswer: 62, 22, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, -4015, 4, 1.\nAnswer: -4015, -221, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 0*u**4 - 2\/5*u**5 - 1 + u**2 + 0*u**3 + 0*u. What is the second derivative of c(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 6*z - 24. Let g(c) = 2*c**3 - 5*c**2 + 3. Let y be g(4). Suppose 34 = 5*f - y. Solve 14 = -5*j - 2*a + a, z*j - 5*a + f = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/257, 1\/9, -1, -4, 0 in descending order.\nAnswer: 1\/9, 11\/257, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 124.06. Round z to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5028 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: Let u = -14.88 + 22.59. Let k = u - 1.01. Let j = k - 7. Put 0.3, -4, j in increasing order.\nAnswer: -4, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -8*t + 7*t, -t = -4*q - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*q**4 - 2*a*q**3 + 38*a*q**2 - 32*a - 1548*q**4 + 2*q**3 - 8*q**2 wrt q?\nAnswer: 48*a*q - 12*a - 37152*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 32 + (-7 - 15) + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-18) + 46\/6 - 3. Let u(x) = -x**2 + 1. Let o be u(1). Suppose o = -4*h - h. Sort -0.1, h, q.\nAnswer: -0.1, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -33*6\/9*3. Let y = 69 + r. Suppose -4 = 3*j - 10. Solve 0 = j*f - 3*f - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1358.46*0.04.\nAnswer: -54.3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by -17.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, -4, 56.\nAnswer: -4, 0, 1, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o + 4*o**2 - 15*o**3 + 14*o**3 - 15*o as h*o**3 + r*o + v*o**2 + s and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -701 + 700.7. Let d = 3392.11 + -3372. Let s = 0.11 - d. Sort s, b, 2 in decreasing order.\nAnswer: 2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*m = 94 - 78, 23 = -5*z + m. Let n(u) = -u**2 + 8*u + 9. What is n(z)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 0.6, -4, -0.1, 12 in increasing order.\nAnswer: -4, -0.1, 0.6, 12, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -466172334 divided by -155390778\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 2*z - 3. Let d(m) be the first derivative of 1\/2*m**2 + 1 + m + 1\/3*m**3. Let q = -24 + 23. What is q*k(c) - d(c)?\nAnswer: c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12 + b + 6 - 30. Let p be j(12). What is the units digit of (-33 + p)*(-2 - (-2)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 6*d + 4. Let g be y(6). Let z be (-5)\/(-1) + (-15 - -13) + 0. Solve -1 = 5*n - g*c, 2*c - z*c + 16 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.42 and -7.\nAnswer: -9.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -711, -1658, -2973, -4644, -6659?\nAnswer: -9006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 + r - 2. Let a be m(4). Calculate the greatest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, -3, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 = -5. Solve w*g - 5*g + 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 15252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 24, 0, -11, -1 in ascending order.\nAnswer: -11, -3, -1, 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 - 7982\/(-143). Let d = w - 35. Is 2\/3 - (-763)\/d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/56674516 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 + 7*b - 2. Calculate the common denominator of -22\/5 and n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, k: 3, u: 4}. Give prob of sequence xux.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 202560319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -1.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 19141 and 0.01.\nAnswer: 19141.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 844\/167477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - y + 6*y)*(3040 - 3040 + 7*y) to the form h*y**2 + k + i*y and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/65)\/(4 + -6)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10183251 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**5\/60 + 7*v**4\/24 + 124*v**3 + 3872*v**2. Factor l(d).\nAnswer: -(d - 31)*(d + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 147, -3\/2, -5, 0, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83570*q**2 - 20969 wrt q?\nAnswer: 167140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 1 p when three letters picked without replacement from hihbnpab?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Expand (20 + 14*o - 30 + 12)*(7 - 3 - 2).\nAnswer: 28*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335319?\nAnswer: 3, 111773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -276.386 + 0.386. Let p = x - -281.39. What is p rounded to 1 decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -1549 (c) 0.144 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31\/5 - 212\/35. Find the common denominator of g and 1 - -7 - 950\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 68308708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71029144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 33013?\nAnswer: 33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4675 divided by -935?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11173317.12235 plus 0.2?\nAnswer: 11173317.32235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d - 433414 + 434638 = 0 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, 813, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d + 27. Suppose -d*v = -2*v. Suppose v = -8*l + 5*l - 18. Let b(m) = -m**2 - 6*m + 4. Calculate b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 343*z + 6. Let q(h) = -426000*h - 7455. Calculate 6*q(m) + 7455*t(m).\nAnswer: 1065*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1476717 tonnes in grams?\nAnswer: 147671.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -939*p**3 + 806*p?\nAnswer: -5634*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 6. Let g(y) = y - 1. Let j = 81 + -79. Suppose j*r = -i - 4, -i - 1 - 10 = -5*r. Let t(h) = i*g(h) - b(h). Let z(s) = -5*s. What is t(z(k))?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 7:49 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 3) + -3 - -3) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18542, 18547, 18552?\n\"Answer: 5*a + 18537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:18 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**6)**34 assuming x is positive.\nAnswer: x**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 7*v. Let h be d(6). Let c(n) be the first derivative of -n**3\/3 - 2*n**2 - 15*n + 242. Let p be c(h). Is 0.1 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 10*x + 72. Let z = 3\/317 + 4411\/2853. Find the common denominator of 202\/(-24) + 1 - x\/3 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411011414 (base 5) in base 15?\nAnswer: -74d609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/6*(400 + 1). Let j = -395 - y. Solve 4*z = j*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/1505)\/(40\/70).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 30 = -12. Suppose 2*b - i*b + 141 = 0. Suppose 2*g - b = 621. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v + 5*v - v)*(156*v**2 + 162*v**2 + 1 - 316*v**2 - 26*v) to the form g*v + l*v**3 + j*v**2 + i and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316348.\nAnswer: 2, 79087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*(l*l*l**(-2\/13))\/l)\/((l*l**(2\/7))\/l**1)*(l**0)**(-1\/5)*(l**(3\/7)*l*l*l)\/l*l**(1\/6) assuming l is positive.\nAnswer: l**(1177\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0264 and 0.5.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99949635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h + 1875 = 47*h. Suppose p + 403 = 5*q, -q + h = 3*p - 12. What is the lowest common multiple of q and 54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*d**5 + 43985*d**4 - 50710*d**3 + 2215*d**2 + 4410*d = 0. Calculate d.\nAnswer: -441, -1\/4, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 17*g - 69. Let u be l(-20). Is u at most -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 - -218. What is the greatest common divisor of 88 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20438347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + 70\/5)\/2. Let v = 27 - 19. Let n = u - v. Solve n*r - 3*g = -0*r + 15, 3*r - g = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9395 is divided by 348.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*o + o - 9, -o = 5*n + 21. Suppose -2*x = p - 88, 2*p = -5*x + 24 + 197. Let b = x - n. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.01, -2, 0, -2\/5 in increasing order.\nAnswer: -4, -2, -2\/5, 0, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l + 10. Let w(n) = 15*n - 10. Let p(s) = 6*j(s) + 5*w(s). Let r be p(8). Let m = 0 - 0.1. Which is the smallest value? (a) r (b) m (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*o - 23, 187*p - 4*o - 27 = 188*p. Let b = 3607\/3222 + -3\/358. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 4 + 3 - 10*v**2 + 9*v**2 - 4. Let k = 17 + -13. Determine p(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 12. Let t be l(8). Sort -3, 1, t, 5 in ascending order.\nAnswer: -3, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + -162. Solve x + c*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 + -5.2. Do r and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r**2 - 3*r - 2. Let u be i(5). Let b = 258 + u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -27*r**2. Let p(k) = 6333228*k**2. Calculate p(n(h)).\nAnswer: 4616923212*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34005\/6 + (-55)\/(-22). Round z to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 14*d + 102. Let c be (1*-2)\/(17\/d). Solve -4*y = m + 14, 10 = -c*m - 3*y - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*a + 1 - 45*a - 47*a**2 + 88*a)*(0 + 2 - 3)*(11877*a**2 - 11877*a**2 - 85*a**3).\nAnswer: -3995*a**5 - 85*a**4 + 85*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*w - 20948 = 10431, -l - 5*w = -31379. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w - 19*w + 15 + 0*w**2 + 27*w - w**2. Calculate the remainder when 57 is divided by l(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/(-464))\/(15\/4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01471396451 to four decimal places.\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -7 (c) 7 (d) -1\/4 (e) 4\/7 (f) -4688\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 711798820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124204018104 + 2.26.\nAnswer: -124204018101.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*z + 60. Let j = z - -21. What is the least common multiple of j and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3*2050*1243\/226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*(-10 - -4) - -11. Let r be 1 - (-13)\/(-11) - 1515\/(-165). Is n bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) 1\/34 (c) 0.4 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*206.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (170\/765)\/(-1 + 2). Which is the smallest value? (a) -2\/23 (b) 39 (c) 0 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(48\/45) - -3. Let h(t) = t**3 + 5*t**2 - 7*t - 1. Let v be h(-6). Let y = 104\/3 + -35. Which is the closest to 1\/3? (a) j (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.82 + -3.02. What is the third biggest value in x, 2, -284?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.436\nAnswer: 0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 - 6*v - 9. Calculate u(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3450)\/(169\/(-26) + 5). Calculate the greatest common factor of c and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6655 is divided by 1313?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/70)\/(8\/(-64))*7\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 1 = -5*t. Let z be 7\/(t\/(-2)) + 9. Solve -2*u = -3*d + 23, 0*d + z = -4*u - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -7, -4, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, r: 3}. Give prob of sequence rrz.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 72195200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((sqrt(55) - (sqrt(2695)*1 + sqrt(2695) - sqrt(55)))*-6)\/(-2*(sqrt(5) - sqrt(35)\/sqrt(7)*-3))).\nAnswer: -6 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Let u = -15 + 14. Sort c, u, 1 in descending order.\nAnswer: c, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1 + 2 + -4 + 344\/(192\/(-24))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 989 + -503. What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w. Let o(l) be the third derivative of l**5\/6 + l**2 - 100. Calculate o(r(t)).\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (sqrt(2450) + -5 + 2)**2 + 2.\nAnswer: -210*sqrt(2) + 2461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1988058 + 14*u**2 - 3976145 + 1988087.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 254 = 5*c, 0 = c + 2*c - 5*l - 170. Let x = -29 + c. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2\/2 + 5. Suppose 6*u - u = 3*n + 1376, b*n - 264 = -u. Suppose -5*k - 5*f + u = -2*f, -197 = -4*k + 5*f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334 divided by 3.\nAnswer: -1334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5116.137t in grams?\nAnswer: 5116137000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -8?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -184, -394, -688, -1066, -1528, -2074?\n\"Answer: -42*x**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 29 - 9. Suppose -h = -2*m + 4. Solve v - m = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*c - 4*w, 4*c - 37*c + 10*c + 18*c + 35 = -2*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*-5)\/(sqrt(9) + sqrt(144)\/sqrt(4)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 4. Sort -5, 6\/7, a.\nAnswer: a, -5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p + 27. Suppose 4*b = -5*s - 51, 3*s = b - 6*b - 41. Let x be z(s). List the prime factors of (2 - x\/8)*12.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.5 (b) 0.1 (c) -1\/57 (d) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3712 = 3*z - 2*s + 3757, 4*s = -z + 69 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 7. Let l be t(5). Let i be 175\/63 + l\/(-9). Suppose -4*k = x - 41, k - 3*x - 10 = -i. Calculate the highest common divisor of 80 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**3 + 13*a**2\/2 - 9*a - 8. Let k be m(-6). Let o = k + -3. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 89?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (-24)\/(-2) - (11 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/121290 and -113\/180?\nAnswer: 727740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 + 47*j**3\/4 - 211*j**2\/2 - 767*j - 1014.\nAnswer: -(j - 26)**2*(j + 2)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*d = 5, 298*g - 299*g - 39*d = 39 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 86818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -15. Let o(n) = 7*n + 1. Let p(h) = -12*h - 2. Let b(l) = x*p(l) + 5*o(l). Calculate b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 8*o**7\/21 - o**3 - 13*o. Find the second derivative of p(s) wrt s.\nAnswer: 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 4. Let r(i) = i**3 + i**2 + 1. Let p(g) = -a(g) - r(g). Let o be p(2). Let k = o + 28. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h + 70. What is z(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/595 and -61\/508005.\nAnswer: 60452595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 325, 312, 287, 244, 177?\n\"Answer: -m**3 - 6*m + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 807\/(-30) - (-2)\/5. Let k = p - -27. Do 2 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5168405ml in litres?\nAnswer: 0.0005168405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 16*a + 232. Let l be (10 - 10 - 9)*-1*1. Let s be r(l). Solve 3 = -2*n - s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-315)\/49) + 21\/(-49). Suppose -4*n = -32 + 12. Solve f + 2*k = -n, -f - 5*k - 5 = u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 20677698808789.\nAnswer: -20677698808788.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - 49*v**4\/24 + 14*v**3\/3 - 25*v**2 + 5. What is the units digit of c(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8384 + -0.3?\nAnswer: -8384.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*c + 3*c + 4*g, -15 = -5*c - g. Suppose c - 7 = -5*m. Is 1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**2 + 21*p - 4. Let o be q(0). Let y = 1754 - 1740. What is the highest common divisor of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10471\/1698)\/(((6\/15)\/(-2))\/(48\/(-40)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**7\/42 + t**3\/2 + 3*t - 3. Let m(s) be the first derivative of p(s). What is the second derivative of m(n) wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -773*o - 14623*o - 2465*o - 2838*o - 848659 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2185 (base 13) to base 4.\nAnswer: -1021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278201 is divided by 751?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 29 = -2*b. Let u(o) = 14*o - 10. Let r be u(3). Let h = b - r. Put 10, h, -1 in descending order.\nAnswer: 10, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -41. Suppose -3 + 8 = -w*g + 5*j, 5*g + 2*j = 2. Solve 6 = -2*b - g*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263460 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*z**2 + 1 + 1370*z**2 - 1.\nAnswer: 1632*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2174, -5648, -9112, -12566?\nAnswer: -16010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 16 + 89*k - 16 - 5*k**2 to the form c + l*k**2 + h*k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - -2*2*sqrt(65))*-3*-2)\/((sqrt(1620) + -2*sqrt(1620))\/(sqrt(144)*1)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g**3 + g**2 + g. Let a = -37 + 36. Calculate c(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24146 is divided by 8042.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 1561. What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i + 29 - 185. Let y = 2 - 2. Suppose 0 = -4*f - l + 160, y*l - 3*l = 5*f - 207. Calculate the highest common factor of i and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l - 4*d = 55, 3*l + 2*d + 125 = 0. Let k = -47097\/16 + 2948. Calculate the common denominator of (-6)\/(-32)*l - -3 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 17. Let m(f) = f**3 - 5*f**2 - 17*f - 12. Let q be m(-5). Let k = -167 - q. Give y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 21329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126522, -253622, -380724, -507828, -634934?\n\"Answer: -x**2 - 127097*x + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 12.1.\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkq when three letters picked without replacement from {z: 5, k: 2, t: 1, q: 1, p: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 2759.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962995 is divided by 1605.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -10, -3*w = -w - 3*h - 131. Let d = w - 35. What is the remainder when d is divided by 410\/35 + -2 + 64\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j - 3*j = 86 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140480259.\nAnswer: 3, 46826753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145*((-858)\/165)\/26?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23081185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4) + 50\/4. Solve -9 - x = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*x + 1486 - 1460 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 2964*b + 8928.\nAnswer: -4*(b - 3)*(b + 744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -22. Suppose y*a = -g - 2, 0 = -g - 3*g - 2*a - 8. Let k be 0\/2*(-1)\/g. Solve k*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 591, -147, -49 in descending order.\nAnswer: 591, 0.3, -49, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 4. Let g be d(4). Solve 0 = 4*r + r - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 508 = -448. Suppose -k = 9*z - 707. Calculate the remainder when z is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8384 and 7336.\nAnswer: 58688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose j = d - 2. Suppose -v + d = 4. What is the least common multiple of v and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-20))\/((-2)\/10). Let u = t + -8. Which is the third smallest value? (a) 5 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-4) - 6\/24. Suppose 2*h = -f*a + 2, 4*h - 21*a - 26 = -18*a. Put -1, 3, h in decreasing order.\nAnswer: h, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 1. Let f(o) = -5*o**2 - o + 5. Let z be ((-12)\/28)\/((-34)\/(-238))*2\/6. Let n = -11 + 7. What is n*t(g) + z*f(g)?\nAnswer: g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 13, v: 1}. Give prob of sequence ppv.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9920 + 9917. Which is the fourth biggest value? (a) -1\/4 (b) -0.28 (c) -0.3 (d) 1 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (1 + sqrt(108) + sqrt(108))) + 0)**2 - ((0 + sqrt(12))**2 + sqrt(27)\/(sqrt(63)\/sqrt(7))).\nAnswer: 11*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -262, -564, -978, -1504?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 15*b + 7. Solve -2*d + 6 + b = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1627\/24 - -793\/8. Let d = -31 + p. Factor 2\/3*b + d*b**2 + 1\/3.\nAnswer: (b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -139*z**3 + z + 0 + 0*z - 1 - 3*z. Let m be c(-1). Suppose 4*t - 16 = -2*n + 36, 0 = -4*n + t + m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472855057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 180\/140*(-7)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*n + 3*w + 104, -5*n + 111 = 3*w. Let j = 54 - n. Let u(t) = t - 4. Let m be u(7). Calculate the greatest common divisor of j and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1801200 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 7*a - 7*a + 2 + 20*a - 7*a.\nAnswer: -a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(42)\/sqrt(6) + 2.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -3, -258, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -25*y**2 - 118*y + 440. Calculate i(4).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8780144.27 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6.32 times -1\nAnswer: 6.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z + v - 14 = 0, -11 = -z - 4*v. Let j = z + -9. Calculate the lowest common multiple of j and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -624 - 816. Let k(q) = -74 - 6*q**2 - q**3 + 141 - b + 5*q. Calculate k(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 659770 + -1375164. Let w = -1109694 - n. What is w rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3939 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 3*z**2 - 7*z + 52. Give u(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 149. Determine i(31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175795009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1120*u**2 - u**4 + 8*u - 1120*u**2 + 1 as j + c*u**2 + h*u**4 + x*u + w*u**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 16*c + 8. Let f = -1\/6 + -1\/6. What is the second biggest value in c, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 58.6591 and -2351.\nAnswer: -2292.3409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 4. Let c(r) = -4*r - 2. Let t(i) = 2*c(i) + 3*j(i). Let n(l) = -1. Give -6*n(b) - t(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-4)*990\/(-5445).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -3*f - 21, -2*o - 4*f = 10. Suppose -3*k + y - 37 = -0*y, 4*y - 40 = o*k. Let c = k - -19. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(180\/(-56))*((-5)\/10)\/((-3)\/(-18)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2441 (base 16) to base 7.\nAnswer: 36026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 7:25 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14750750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3799 - -6751. Calculate the lowest common multiple of 27 and u.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-138)\/8)\/(24\/(-6240)). Suppose x = 13*d - 195. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 117465 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -92*a + 472. Let v = -393 - -398. Let g be w(v). Let j = -4 - 1. Sort -3, -1, j, g in descending order.\nAnswer: g, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62499, -124967, -187369, -249675, -311855, -373879, -435717?\nAnswer: -497339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 2, -29.\nAnswer: -29, -6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.77 + -1.07. Let f = -3 + 5. Let k = -50 + 448\/9. Which is the closest to 1? (a) f (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 1201, 2681, 4759, 7441?\nAnswer: 10733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334956 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14.97*0.10936\nAnswer: 1.6371192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/151 (b) -11 (c) -0.3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j + 12. Let i(u) = u**3 + 5*u**2 + u. Let r be i(j). Suppose 167 = -7*z + 195. Solve z*p - r = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196.19 - -197. Let l = c + 0.09. Let k = l - 0.4. What is the smallest value in 1\/3, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - 202. Let p = 122 + w. Let h = p - 115. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/31136 and 57\/112.\nAnswer: 31136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41490609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*d - 50*d - 3323 + 713 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/688322009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 40 = -5*m, 0 = 4*m + 2*a + 30 + 28 - 97 + 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 7*d - 5. Let r be u(-5). Factor -2 - 2*p**2 + 2*p**4 + 4 - p + 4*p**3 - 2*p**r - 2*p**2 - p.\nAnswer: -2*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 9*g)*(4*g - 4 + 4)*(-2 + 0 + 0)*(0 - 2 + 0).\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5 - -131)\/(-7)*4*(-1102)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2421 - -4414?\nAnswer: 12340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 111, -3, 1, 0.\nAnswer: -3, -1, 0, 1, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.3 - 8. Let k be (-2)\/10 - (-41)\/5. Let f = -17\/2 + k. Sort 0.2, f, r.\nAnswer: f, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y - 94*y**5 + 176*y**5 + 10*y**4 + 0*y + 0*y - y + 885*y**2 wrt y?\nAnswer: 4920*y**2 + 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.1, 0.4, -113, -15, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Let o(i) = -18*i**2 + 67344. Determine o(z(v)).\nAnswer: -72*v**4 + 67344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52419.4324 rounded to the nearest 1000?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 59 (b) 2\/3 (c) 2\/9 (d) -2\/3 (e) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 4)*(-3368*t + 11186 - 5594 - 5592).\nAnswer: -16840*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h**2 + 5*h. Let q(z) = -5*z. Give q(w(f)).\nAnswer: -80*f**2 - 25*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*p**2 - 278*p**2 - 21*p**3 + 139*p**2)*(-3*p**2 + 2*p**2 - 2*p**2).\nAnswer: 63*p**5 - 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14345032 (base 6) to base 12.\nAnswer: 1bb178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56362461 to the power of 1\/2, to the nearest integer?\nAnswer: 7507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(72)*6 - (sqrt(72) + -2*(sqrt(72) + 1) - sqrt(72))))**2.\nAnswer: 336*sqrt(2) + 14116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose 0*s - 5*l + 67 = 2*s, g*s - 3*l - 90 = 0. Let j = 58 + s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -10*w + 80. Let j be (1\/2)\/(1\/w). Let f(o) = o**3 - 9*o**2 + 11*o - 12. What are the prime factors of f(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 8. Let j be o\/(-21) + -1 + 2. Let q = j - 9\/14. Put 1\/7, -0.4, q in increasing order.\nAnswer: -0.4, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**4*y*y)\/y)\/y**(-3\/4)*(y**1\/y)**15)\/(y**(-6)\/((y\/((y**0*y)\/y))\/y)*(y\/y**(-1))**(1\/20)) assuming y is positive.\nAnswer: y**(233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.2, -1\/3, -0.5, 5, 45, 7, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.007, -1\/6, -2, -1\/4 in increasing order.\nAnswer: -2, -1\/4, -1\/6, -0.1, 0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49405075?\nAnswer: 5, 641, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 - 100?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3564 and 244332.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i - 22. Is j(6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 9*o - 30.\nAnswer: 3*(o - 5)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(5\/(-8)*11\/55). Suppose 2*s = -4*m + 10, -2*m + i = s + s. Suppose h + l = 3*l - m, 2*l - 10 = 0. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-18)*(-14 - -13) and -7\/75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 3*l**2 + 4*l + 4. Determine n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2064988?\nAnswer: 2, 516247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 747104 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppl when three letters picked without replacement from {q: 1, l: 2, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2540 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-98)*-2*-35\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, -55, 1 in ascending order.\nAnswer: -370, -55, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 1120*g - 2256.\nAnswer: 4*(g - 282)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + 3 + -4)*5 - (sqrt(3600) + (sqrt(3600) - ((sqrt(3600) - (2*sqrt(3600) - sqrt(3600))) + sqrt(3600))))\/sqrt(320).\nAnswer: -15 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 24*z - 479 = -4*o, 2*o - 238 = 2*z. Which is bigger: o or 90?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3059 divided by -23.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 - -266. Suppose -5*l = 2*i - 3*i - 456, 0 = -2*i - 2. What is the remainder when l is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19057, -19060, -19063, -19066, -19069?\n\"Answer: -3*b - 19054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*l + 63*l + 42 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 159920, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.0202 meters to centimeters.\nAnswer: 8202.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 36?\nAnswer: 43\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - 2*sqrt(9)*-6 - sqrt(9))\/(sqrt(27)\/(sqrt(27)\/sqrt(3)))*-6.\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4039 - -3482.747\nAnswer: 3483.1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, 1\/3, -8 in decreasing order.\nAnswer: 5, 1\/3, 0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055738 rounded to 3 dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002304462318 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 20, 19, 18?\n\"Answer: -j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 852 and 497?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -523.6\nAnswer: 52.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 252*v**3 - 5*v**2 - 2659.\nAnswer: 756*v**2 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + -12?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -12*r + 7*r + 19780, -h = 3*r - 19782. What are the prime factors of h?\nAnswer: 3, 5, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.59376 months to centuries.\nAnswer: 0.0129948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 7*q**2 + 7*q + 59. Calculate the remainder when f(-11) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**3 - 3*y**2 - y + 1. Let j be t(1). Which is the third smallest value? (a) 2.3 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.1421 hours to milliseconds.\nAnswer: 324511560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*1 + -1*(sqrt(156)*1 + sqrt(156) + sqrt(156) + sqrt(156)))\/(sqrt(108)\/(sqrt(900) + 4*sqrt(900))).\nAnswer: -250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -4) + 9 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1121 + -0.174474\nAnswer: 1120.825526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 613525823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 + 3163*n + 15789. What is s(-5)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(17) + (-5 + sqrt(612))**2 + 1*(5*(sqrt(204)\/(sqrt(36)\/sqrt(3)) + sqrt(17)))**2 + 5.\nAnswer: -59*sqrt(17) + 2337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 125*i + 15 + 128*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 8*y**2 + y - 1. What is c(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/3 - 83*g**2\/3 - 472*g = 0.\nAnswer: -59, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76915803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b + 1. Let m(t) = t**3 + 39*t**2 + 43*t + 50. Let j(p) = m(p) - 2*v(p). Is j(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(39)*-2)\/((sqrt(3) + sqrt(12)\/sqrt(4))*3) - (5 + sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 3 + 1*sqrt(1300))))**2*-1.\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-392)*-4*((-36)\/3)\/1 - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72) + sqrt(72))*3 + sqrt(72)*-1*4 + -5 + 1)**2.\nAnswer: -96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/161 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 10*l + 7)*(12*l + 6*l + 2*l**2 - 19*l + (0*l**2 + 3*l**2 - l**2)*(-2 - 1 + 4)) to v*l**3 + r + f*l + s*l**2 and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*n - 16*n + 1 + 11*n)*(-4 + 1 + 2).\nAnswer: 37*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 664195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/2)\/((-3)\/398)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1)*-1*-19. Let f = -41 + 49. What are the prime factors of (f - 9) + 1*s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/40*(1 - 3). Let j = 13 - 16. Sort j, -0.2, y.\nAnswer: j, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285729 less than -7.45?\nAnswer: 285721.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*i - 0*a - 37, 4*i + 3*a = -34. Let w be -40*i\/(70\/156). Suppose -4*b + w = -4*l, 3*b - l = 345 + 121. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g - 84. What is the least common multiple of 90\/(-24)*(-8)\/3 and h(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 9\/14. Suppose 5*f + 36 = -4*u, -2*f + 14*u - 16 = 16*u. Put f, -1\/36, h in decreasing order.\nAnswer: -1\/36, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-6444456)\/(-24) - 24)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/y)\/(y**(1\/18)*y)*y\/(y*y**(-8))*y**16)**(-39) assuming y is positive.\nAnswer: y**(-6539\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -7. Is (-1 + -12)\/(0 - g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 5 - 14) + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*m + 10, 2*w + 4*m + 18477 - 18455 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/120 - 3*v**5\/20 - 5*v**3\/6 + 93*v**2\/2 - 11*v + 1. Let g(o) be the first derivative of q(o). Determine g(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/((-7)\/42)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.35+-3989.3837118\nAnswer: -3989.7337118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = -4*t - 69, 5397*t - 46 = 5399*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/21)\/((-1)\/9). Let z be (10\/7)\/(9\/63). Let i = 13 - z. Solve 0*k + 4*k = -3*p - y, -3*p - i = k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*((4*2*sqrt(891) - (sqrt(891) + -5 + 2*sqrt(891))) + -4)**2*-5 + 3.\nAnswer: -3341397 - 13500*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.53 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13265*a**2*p**3 + 78*a**2*p + 3*a*p**3 + 861*a*p**2 + a*p + 52*p**3 wrt a?\nAnswer: -26530*p**3 + 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 117\/32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + 8.5. Let x = p + -17. Let v = -7 - x. What is the smallest value in 2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -95*s**2. Let c(d) = 9*d**2. Determine u(c(p)).\nAnswer: -7695*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + 0.23. Which is the third biggest value? (a) -0.3 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/14 and -67\/2871472.\nAnswer: 20100304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1110 + -10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -80\/3, 3, -0.6832, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 512*b**2 - 4820*b - 11800.\nAnswer: -4*(b + 5)**2*(b + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235273120 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/3)*i*i**(3\/2))\/(i**(-14)*i*i\/(i*i\/(i\/(i*i*i**(-18)*i)))) assuming i is positive.\nAnswer: i**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2455\/3 + -9817\/12. What is the second biggest value in -16, -0.2, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 38 = 15*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let m(y) = 15*y**2 + 2. Let l(o) = -13*o**2 - 2. Let d(i) = -6*l(i) - 5*m(i). Calculate b(d(f)).\nAnswer: 27*f**4 + 36*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 883797496 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -695c - 0?\nAnswer: -695c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a680 (base 13) in base 6?\nAnswer: -254520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39b67 - -3?\nAnswer: 39b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15663, 15662, 15661, 15660?\n\"Answer: -c + 15664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 11*p**2 + 4*p + 25. Let w be j(-8). Suppose 0 = 2*a - 5*u - w, -5*a + 0*u - u = -742. What are the prime factors of a?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*h - 5 = 0, 2*h + 7 + 11 = 2*w. Suppose 2*z - w*z = 0. Let d(p) = 5*p + z + p**2 + 0 - 3. Determine d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49403313, 49403321, 49403333, 49403349, 49403369, 49403393?\nAnswer: 49403421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*u - 29 = 0, -n = -3*n - 5*u - 19. Solve 0 = p + n - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74)\/(-14) + (-2)\/7. Suppose 1 = g - o. Is 15 a factor of ((-42)\/5)\/(g\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 506*o + 514*o - 130*o**2 + 140*o**2 to j*o**2 + p + b*o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.15 - -1.05. What is the biggest value in 1, 6, r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {y: 4, d: 4, h: 11}?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -106, -228, -398, -616, -882, -1196?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.8. Let h = 0.7 + u. Let o = 9 + -8.8. Which is the smallest value? (a) -5 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 + c. Let v(b) = -b**2 + b. Suppose 21*j = 31*j - 10. Determine j*h(k) - 6*v(k).\nAnswer: -k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15469784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 43 = 8. Let z = -1251 + 1450. Suppose 0 = -41*r + 129 + z. Calculate the least common multiple of c and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2628 divided by -73.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303 + 0*x**2 + 42 + 3*x**2 - 3*x - 2*x**2.\nAnswer: x**2 - 3*x + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.6 - 2.6. Let k = 13 - l. What is the smallest value in k, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -205.4271?\nAnswer: 6.162813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x - 32. Let z = 10 + x. Suppose z = 2*d - 6*d. Solve d = -5*m - 4 + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n + 1. Let x(t) = -t**2 - t. Let i(y) = -3*y**2 - y + 2. Let g(r) = i(r) - 5*x(r). Calculate -4*g(j) + 9*p(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let y = -98.3 - -94.3. Put -3, y, w in increasing order.\nAnswer: y, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2312, 0.2, -1\/5, 5, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 30961490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.189428757 minus -454?\nAnswer: 453.810571243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2057*1.\nAnswer: -0.2057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 51.333 and -1\/14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6079693 and 867?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2225, 8964, 20219, 35984, 56253?\nAnswer: 81020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a + 11. Let l(f) = -23*f**2. Determine l(q(m)).\nAnswer: -2783*m**2 + 5566*m - 2783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869035771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-14)*-8*295288\/94914.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -94. Suppose -2*r - 4*z = -0*z - 32, 57 = 3*r - 3*z. Calculate the remainder when c is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131389 or 131633?\nAnswer: 131389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -103202.55 to the nearest 100.\nAnswer: -103200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45.9 + 13.1. Let w = -31 - a. Is w at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 898 - 902. Suppose -2*h - 2 = k, 4*k - k + 12 = 0. Which is the nearest to h? (a) -2\/17 (b) 1 (c) y (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141733017.\nAnswer: 3, 5249371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*4\/51. Let c = 195.8 - 191.8. Put -1\/3, c, q in decreasing order.\nAnswer: c, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36663064, -73326126, -109989188, -146652250, -183315312, -219978374?\n\"Answer: -36663062*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*n + 37 - 135, c = 4*n - 130. Suppose -n = -4*q + 44. Solve 3*a + 4 - q = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1899*b**4*f**2 + 2*b**4 - 2*b + 999*f**2 wrt b?\nAnswer: 22788*b**2*f**2 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*l - 134, -2*n + 39 - 123 = -2*l. Let q(y) = 6*y**3 + 55*y**2 + 10*y + 11. Calculate the least common multiple of l and q(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14410 + 24079. List the prime factors of y.\nAnswer: 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1333 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4. Let q = j + 3. Let f = 172 - 172.2. Put q, 0, f in decreasing order.\nAnswer: q, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290835 divided by -23.\nAnswer: -12645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -1 + 67*(-3 - -5). Let o = x - -31. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11272*j - 574946. Determine m(51).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 2 + 2 - 5)*(0*c + 7*c**2 + 0*c).\nAnswer: 7*c**5 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r = 69*r + 222 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 take away 0.3895?\nAnswer: -2.6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1393 + -1392.4. Which is the biggest value? (a) l (b) -18 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1 = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0145 + -0.04998989.\nAnswer: -0.03548989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 50*d**2 - 221*d + 270. Calculate q(-45).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose -3*n + 2*q - 24 = -w, 12 = -5*n - 2*q. Is -4 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l - 30*l + 845. Is -170 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from nxddf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3878, -4343, -4802, -5255, -5702, -6143?\n\"Answer: 3*w**2 - 474*w - 3407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-45)\/(-5)) + -4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.035 - 1.4212.\nAnswer: -21.4562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 39*d = 40*d, -2*a + 4*d = 4. Let u(o) be the third derivative of 0*o + 0 + 1\/165*o**5 - 1\/132*o**4 - 2\/33*o**3 + 17*o**a + 1\/660*o**6. Factor u(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002947492 to six decimal places.\nAnswer: -0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -4*l, -7 = 8*h - 3*h - l. Let r = 0.02 - -0.08. Which is the closest to r? (a) 2\/15 (b) h (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/12160 and 113\/1045760.\nAnswer: 1045760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 2. Let y(o) = -o**3 + 6*o**2 + 7*o. Let h be y(z). Suppose h = -q, -2*q = -2*a + 27 - 3. Solve -4*s + 2*s + 4*i = -a, -s - 3*i = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25.8, 2\/19, -0.3, -2, 1 in increasing order.\nAnswer: -25.8, -2, -0.3, 2\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 10*i. Let g be j(5). Solve -2*y - 2*y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68502*c*f*n + 2*c*n**2 + 256*c + 20*f*n**2 + 15989 with respect to f.\nAnswer: -68502*c*n + 20*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. Let z = -57 + 56. Let k = 6 + -10. Which is the closest to -2\/5? (a) x (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4)*c*c)\/(c\/c**7))**(-4\/9) assuming c is positive.\nAnswer: c**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10566*h + 6653*h - 5713*h + 5134*h.\nAnswer: 16640*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 747?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 47. Suppose -4*a = -x - 10, -25 + 0 = -5*x - p*a. Suppose -49 + 49 = x*m. Solve -y - y + 8 = m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(484)\/(sqrt(11) + sqrt(11)*-2))\/((1*sqrt(256) - sqrt(4)) + sqrt(4) - (sqrt(24)*1 - sqrt(24))\/sqrt(6)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = 2*a, u - 3*a + 12 = -7*a. What is the hundreds digit of 1*(u - (-835 + -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26802*o**2*t**3 + 15*o*t - 22*t**3 + 14635*t**2 - t + 2 wrt o.\nAnswer: -53604*o*t**3 + 15*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2028 - -16?\nAnswer: 203e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -135701, -271424, -407157, -542906, -678677?\n\"Answer: -l**3 + l**2 - 135719*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8472, -1, -220, -4 in ascending order.\nAnswer: -220, -4, -1, 1.8472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 7*x + 18 = 0. Suppose -j + x*j = 2*n + 478, 3*j = 4*n + 713. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 1432, 3219, 5740, 9007?\nAnswer: 13032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*v - 8, -5*v - 10 = -2*o - 29. Solve -o*w = -11 + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 1210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-6))\/(2\/54*9). Suppose 0 = 4*n + 3*p - 6, -q*n - 32*p - 2 = -33*p. What is w in 0 + 0*w**3 + n*w + 1\/7*w**2 - 1\/7*w**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-38)\/10 - (-4 + 8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5112 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761022 is divided by 293352.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -22*y + 41443. Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 17*i - 17*i + (-5 + 5 + 2)*(2*i**2 - 2 + 2) - 9*i**2 - 7*i**2 + 6*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1360282711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/28 + 0 + 1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1630, -1491, -1250, -901, -438, 145, 854?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196092906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 1 - 2)*(-4 + 6 - 6) + 4 - 2 + 1)*(3*a + 0 + 0) as h*a + v and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-26)\/(-78))\/(4 - 44\/6)*8. Sort w, -47, 75 in descending order.\nAnswer: 75, w, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -29 - (2 + -3) - 0. Let i(k) = 4*k**2 - 6*k + 1. Let r be i(4). Let c = d + r. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 17. Let x be z(0). Let v = 0 - x. Let h = v - -12. Sort 3, -1, h.\nAnswer: h, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105455113 (base 6) to base 16.\nAnswer: 1dc775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let q = -25 - -101\/4. Let 0 + q*z**3 + 0*z**n + 0*z - 1\/4*z**4 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65, 245, 611, 1253, 2261?\n\"Answer: 15*w**3 + 3*w**2 + 66*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.5 + -117.5. Let y = 99.9 + v. What is the closest to -0.1 in y, 1\/7, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 3*f. Suppose -3*i = -7*i, -f*r - 4*i + 96 = 0. Suppose 0*b - r = -3*b. Solve 0 = -5*y - 2 - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r**2 - 231*r - 1170. Determine q(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/36330 and 169\/3524010.\nAnswer: 3524010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrr when four letters picked without replacement from jrccrccrjrcjccjjcccj.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 8*a + 4. Let s be (-2)\/5*(1 + -16). Let t be m(s). Let k = 13 + t. Solve 4*l = -f - 25, 3*f + 3*l = 7*l + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2951*s - 14 = -2953*s - z, 0 = 4*z for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*o**3 - 11*n - 87*o**3 + 2*o**2 + 5 wrt o.\nAnswer: 6*n - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/7 - 83730*b**2\/7 + 582295524*b\/7 + 26963058792\/7.\nAnswer: 3*(b - 13978)**2*(b + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272888 (base 9) to base 7.\nAnswer: -1261403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(5\/2 - 2). Find the common denominator of (-3)\/m*1\/(-2) and (19\/57)\/(2\/(-80)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5\/9 - 9791*r**4\/9 - 4061180*r**3\/3 - 54321923*r**2 = 0.\nAnswer: -2427, -83\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*g - 1030 = 2*g, -3*g - 774 = -3*w. Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4724942*h**2 + 2308299*h - 1.\nAnswer: 9449884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 184\/21, 0.3, -327?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a**(3\/7))\/(a**(1\/2)*a\/((a**(3\/8)*a)\/a)*a) assuming a is positive.\nAnswer: a**(-375\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40493000 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-85)\/68)\/(5\/(-8)). Put 0, g, 20 in descending order.\nAnswer: 20, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 - 5*v + 3. Let b be a(-5). Suppose c + b*k - 19 = -c, 0 = 2*c - k + 1. Solve -c*w + 2 = -8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(2\/63)*z)\/z)*z)\/(z**(-10\/9)*z) assuming z is positive.\nAnswer: z**(131\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956 divided by 1652?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 + 501 + (2 - (2 - -17)) - 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-4)\/(-10)*(-1)\/(16\/10). Which is the nearest to o? (a) -6 (b) 3\/2 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431*q - 202167 = 192*q + 218*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358213299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v + v)*(v**2 - 5*v**2 + 0*v**2) + 3*v**3 - 5*v**3 - 3*v**3 + ((3 - 1 - 4)*(-4 + 4 + 2*v) - 6*v + 9*v + 7*v)*(-2*v**2 + 3*v - 3*v).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2732 - 2*d + 1316 + 2*d + 1416 + 94*d**3.\nAnswer: 94*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -304557 + 510477. Let g be (-876318)\/x + (-4)\/26. Let k = 16\/165 + g. What is the common denominator of -83\/4 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 12:00 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -3, -1.6, 22.87, 3?\nAnswer: 22.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/(1\/(-2)). What is the units digit of (-3 - (-6)\/3)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*f**2 + 43994 - 43994.\nAnswer: 134*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202226 - 93280 = -9*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -26.1. Let h = -21.1 - z. Let n = h + 19.9949. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 13*c**2 - 3*c + 2. Let k be s(1). Let j = k + -17. Let y = -12.2 + 12. What is the third biggest value in 0, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1086*h + 8. Let d(j) = -693*j + 5. Let f(z) = -8*d(z) + 5*o(z). Let x(m) = 12*m. Calculate x(f(w)).\nAnswer: 1368*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 2*b**5 + 2*b**3 + (-5 + 2 + 2)*(2 - 2 - b**5) + 2*b**5 - 9*b**5 - 13*b**5.\nAnswer: -21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 11, -3\/4, -0.1, -1\/127 in ascending order.\nAnswer: -39, -3\/4, -0.1, -1\/127, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000067248 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-63) + 532\/(-2499)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4380988455 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -5 - (-1 + 1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + (-3 - 3). Let t = 0 - r. Suppose -4*u - t = -6*u. Are u and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299) - (-4 + 4 + sqrt(2299))**2)*-4 + -1 + sqrt(2299) + sqrt(2299) + 1*sqrt(2299) + (sqrt(2299) + -2)**2*-5.\nAnswer: -2322 + 209*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1080, 1081, 1082?\n\"Answer: w + 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*b = -2*u - 332*b + 172390, u + 3*b - 86195 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1518 by -3.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.068 - 27.932. Let m = 72.4 - 43.9. Let r = y + m. What is the third smallest value in 1\/8, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**11*g**(-11)\/g assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 8:27 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - n + 598, 0 = f - 0*f - 5*n - 130. Suppose 2*v - f = -0*a - 2*a, a = v - 62. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4\/3)*r))\/(r\/(r\/r**(-1\/5)))*r**(2\/7)*(r*r*r**(-2))\/r*r*((r**4*r*r)\/r)\/r*(r*r**(-2))\/r*(r**3*r)\/r**(-5) assuming r is positive.\nAnswer: r**(1346\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7591 less than -39582.78?\nAnswer: -31991.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126 + -136 - (-2 - 15 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*1*2)\/(sqrt(6)\/sqrt(2)*1 + sqrt(3)))\/((sqrt(396) - sqrt(396)*-3)*-4*1).\nAnswer: -sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59 and 1616?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 k when four letters picked without replacement from {k: 7, h: 3, j: 7, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*g - 555, -g = -6*g + m + 551. Let p = -29 + g. Does 27 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 1\/2 (b) 0.3 (c) 246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2 - 88*i + 273 = 0. What is i?\nAnswer: -91, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-100))\/(27\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 - s**4 + 5*s**4 + (605*s**2 + 30956*s - 30956*s)*(2*s**2 - 7*s + 7*s) to the form q + j*s + b*s**3 + r*s**4 + a*s**2 and give r.\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 66069265562.\nAnswer: 66069265555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-6\/11)*y*y\/(y\/(y**(-1\/15)*y)) assuming y is positive.\nAnswer: y**(574\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:22 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 428817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1433 + 1437. Suppose 5*g - 2*r = 26 - 7, -g - 5 = x*r. Factor 0*n + 5\/3*n**g + 0 + 0*n**2.\nAnswer: 5*n**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1439027 and 2.9.\nAnswer: -1439024.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(2\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*f - 38107 = 0, 0 = -1344*f + 1341*f + 21. Is b a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/10)\/(3 + (-468)\/(-225) + -5). Let h = 28 + -13. Is 10*(4 - h\/t) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -845 - -910. What is the highest common factor of 91 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*o - 800 - 478, -4*o + 3*r + 846 = 0. Solve 62*i - 98*i - o = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5272\/60237 - -30\/2231. Sort 0.12, -0.4, 8\/7, d in descending order.\nAnswer: 8\/7, 0.12, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -108*r**4 + 4*r**3 + 52*r - 2. Let z(j) = j**4 + 2*j**3 - 1. Let x(s) = g(s) - 2*z(s). Find the second derivative of x(d) wrt d.\nAnswer: -1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-3\/7)*g)*g)\/g*g**(4\/5)*g**(-7)\/(((g\/(g**3\/g)*g)\/g)\/g)*(g**1)**(-49)*g**(-7\/3)\/g**(-4) assuming g is positive.\nAnswer: g**(-5471\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prpapprpyxapyxoxo. Give prob of sequence ypr.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4 + 56. Let k = 11 - n. Let v(w) = 4*w**2. Calculate v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4031*v**2 - 64488*v + 11. Determine b(-16).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -0.09 (b) 2\/13 (c) 22.9 (d) -3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 17*d**2 + 30*d - 4. Let v be m(-6). Suppose -v = -18*s + 76. Suppose -4*r - r = -70. Calculate the least common multiple of r and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y - 15. Let m = 161\/4 + -41. Which is the third smallest value? (a) m (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1948 = 11*v, 2*v - 260 = 2*j + 98. What is the highest common factor of v and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*r**6*t - 2*r**6 + 4*r**4 + 2*r**2*t - 3*r*t wrt r?\nAnswer: 960*r**3*t - 240*r**3 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.1 (c) -1 (d) -4\/3 (e) -380\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312010455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 27. What is the remainder when 35 is divided by n(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1488, -6021, -13526, -24003, -37452?\n\"Answer: -1486*q**2 - 75*q + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 541939536.\nAnswer: 541939536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -55. Let o = 18.4 - u. What is the smallest value in o, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d = 56*d - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 195*u + 1045, -116 = 15*j - 20*j + 4*u + 39 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -165 and -0.2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 120*h - 123*h - 22*r, 2*h - 16 = -r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-18 + 2\/1). Suppose -3*z - t = -g, -2*g - 4*z - 6 = -0*g. What is the units digit of (-2 + g)\/((-21)\/(-98))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5576, -12, -2.\nAnswer: -5576, -12, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 + -134.9. Let z = g - 11.2. Which is the nearest to 1? (a) z (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2 + (0 - -1). List the prime factors of 1\/(21\/(-22) + b).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -13*a. Suppose a = 4*k - 154 - 134. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1783 grams?\nAnswer: 0.0000001783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 9}. What is prob of picking 1 v and 1 k?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32332 + -2041?\nAnswer: -34413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2.5, 2\/7, -5 in increasing order.\nAnswer: -5, -0.1, 2\/7, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*2*(2*sqrt(68) + -4))**2.\nAnswer: -3200*sqrt(17) + 28799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 122\/56193?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2407.\nAnswer: -3\/2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:32 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 6. Let w(l) = -2417189*l. Determine w(i(o)).\nAnswer: -2417189*o + 14503134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l - 16. Let u be c(4). Suppose b - 6 = -2*b. Let z be 0\/1 - (b + -8). Solve -z = -u*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7717535*b**2*d*g + 2210*b*d*g - 2*b*g - 4*b + 6*d*g wrt b?\nAnswer: 15435070*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 9) + ((-34 - -12) + 24 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = -30. Let m = 21 + -12. Let g be 9\/4 - m\/(-12). Solve g*z = 4*j + 25, 3*z - 12 = 2*j + u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5 + 9*g + 6*g**2 + 4 + 7*g. Let t be p(8). Solve 5*z + 4*d + 12 = 0, -4*z - 2*d - 3 = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 + 17*x + 14*x - 2*x**2 + 16*x - 50*x. Let d = -4 - -5. Let g be (-2 + d)\/(2\/6). Calculate y(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**3 - 9*z**2 + 13*z + 5. Let f(s) = -85*s**3 + 4 + 2*s - 4*s**2 + 4*s + 2 - 4 + 89*s**3. Calculate 7*f(q) - 3*t(q).\nAnswer: q**3 - q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 13.4. Let p = k - -13. Let j = -5.08 - -10.08. Which is the biggest value? (a) 2 (b) -1\/3 (c) j (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m - 11 + 11)*(m - 5*m - 8*m)*(-3*m**3 + 0*m**3 + 2*m**3).\nAnswer: -72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (213\/9)\/((-5)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -17 - (8 + -1 - -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j)*(-3 - 2 + 3)*(2 + 2*j - 2).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 22, 24, 22, 16, 6, -8?\n\"Answer: -2*k**2 + 12*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2834 + -2834.3. Which is the second smallest value? (a) 12701 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 42. Let b = 47 + c. Suppose -5*z + 2*z - 3*n = -b, -2*z + 6 = -2*n. What is the highest common factor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by ((-10)\/50)\/((-5)\/1975)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-20))\/(-5 + 1370\/275). Calculate the highest common divisor of 12 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - (-135)\/((-15)\/(-1)))*2. Factor 0*i + 5\/2*i**3 + 0 + 0*i**2 + 5\/2*i**g.\nAnswer: 5*i**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3 + 1 - c**2 - 99*c + 107*c. Let u be q(7). Put 4, -1\/3, u, 3 in decreasing order.\nAnswer: u, 4, 3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817251.5 hours in days?\nAnswer: 75718.8125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 879978 and 334598?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 249\/13 + 24\/(-156). Let v = 2 + -1.8. Sort v, -5, l in increasing order.\nAnswer: -5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2. Let o(s) be the second derivative of s**4\/12 + 2*s. Determine y(o(z)).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*q - 123*q - 363 = 27 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90 + (60 - -33) - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/10)\/(6\/15). Suppose 9*h - 4*h - l = 19, 0 = -h - o*l - 13. Suppose 0 = -4*p + c + 3*c + 52, 2*p - h*c = 23. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165, 2330, 3495, 4660?\nAnswer: 5825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 668159780 to the power of 1\/2, to the nearest integer?\nAnswer: 25849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, 0.5, 5, -1, -0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -615681*j**6 + 243*j**4 - 2498*j**2 + 7310 wrt j.\nAnswer: -73881720*j**3 + 5832*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 453.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:07 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3553942 and 6092472.\nAnswer: 42647304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 619136570?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/4 - 4671*g = 0.\nAnswer: -18684, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 4*u + 4. Let h(d) = 2*d + 2 + d**2 - 4 + 0*d. Let n(w) = -10*h(w) - 4*t(w). What are the prime factors of n(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 1845 + 1845.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -18. Let p(r) = -r**2 + 5*r. Let o(z) = -z**2 + 6*z. Let h(j) = m*o(j) - 6*p(j). Let f(i) = -17*i. Determine f(h(w)).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, 4, 4\/23.\nAnswer: -0.3, 4\/23, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 18. Let g = 8 + -3. Calculate the lowest common multiple of g and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 157615*g**3 - 472815*g**2 + 472805*g - 157600.\nAnswer: -5*(g - 31520)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023428649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278779 is divided by 15485.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22137 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-3 + 12) - -2. Let l = -2 - z. Calculate the greatest common divisor of l and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 2044559?\nAnswer: -2044562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*o - 3, -3*v = -5*o + v + 2. Let w(h) = 18*h**2 + h - 2. What is the remainder when w(o) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.109 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/9 - 22*o**3\/9 + 70*o**2\/9 - 50*o\/9.\nAnswer: 2*o*(o - 5)**2*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31\/5 of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122081?\nAnswer: 122081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 2*i**3 + 2*i**3 + 68*i)*(i + 2*i - 5*i) + (-2 + 2 + 2*i)*(-1 + 1 - i**3).\nAnswer: -6*i**4 - 136*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -40?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -56384*r**2 + 5*r**3 + 56383*r**2 - r**3 - 33 - 3*r**3 as k*r**3 + d*r**2 + m*r + h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8 - -4) - -19. Let s = n + -23. Let q(v) = -27*v - 2. Is q(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937.\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3808 - -0.6808. What is the second smallest value in 3, 1.364, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 3. Let j(l) = 4*l + 3. What is -4*j(v) + 5*w(v)?\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 132*l + 16. Calculate the remainder when 316 is divided by q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3759 - -3758.9. What is the closest to a in -4, -3\/2, -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 2*x + 18. Let t be 0\/(-1)*13\/(-26). Suppose t = -2*n - 4*l + 5 + 27, -45 = -5*n - 3*l. What is the highest common factor of n and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1. Let d(i) = 2*i - i + 0*i + 0 - 5. Let m(t) = 2*a(t) + d(t). Give m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 0.488131385?\nAnswer: 1.488131385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-9)\/(-5))\/(880\/400))?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(21\/15) + (-173698)\/17423*1\/(-2).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*b = -12, 0 = 2*f - 3*b - 2*b + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -231*u**2\/4 - 39*u\/4 + 15\/2.\nAnswer: -3*(7*u - 2)*(11*u + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + t - 2. Let m(i) = -5 + 2*i - 3*i + 2. Let u be m(-7). Let v(f) = 2*f**2 - 2*f + 3. Let x(p) = u*v(p) + 7*w(p). What is l in x(l) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -384\nAnswer: 384.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.17 and 0.09238324407422.\nAnswer: -0.07761675592578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2185 divided by 437.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 + 2396*j - 2392 = 0.\nAnswer: 1, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 7*b - 13. Let y be n(9). Suppose 0*c + 4*c - y*o - 137 = 0, 3*o + 15 = 0. Solve -r - 3*k = 17, r + 4*k + c = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 10*n - 14*n - 2*n**3 + 4*n.\nAnswer: -2*n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 2 = -22*w + z, 4*w - 10 = -5*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/(13*(-22)\/(-429))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 - 0)\/6)\/(408\/(-34181424)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*a + 7. Let l = a + 11. 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: Calculate prob of picking 3 w and 1 z when four letters picked without replacement from {z: 3, w: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 4*y - 18. Let u(m) = -m - 1. Let o be u(6). Let h be j(o). Factor 6*x**3 - 7*x - 5*x**3 + 14*x**h - 5*x**4 - 15*x**2 + 12*x.\nAnswer: -5*x*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -9. Let s be (-62)\/v + 3\/12. Let w = -624\/7 + 1879\/21. What is the nearest to w in s, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 616103\/36 + -17112. Let y = 60521\/8 - 7576. Calculate the common denominator of i and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22443 + -6176. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Let o(d) = -d**2 - d - 1. Let j be o(-1). Let w be 5 - (j\/(-1))\/((-18)\/(-54)). Which is the nearest to n? (a) -4 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 60, 152, -1 in decreasing order.\nAnswer: 152, 60, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1068 + -1050. Calculate the remainder when 78 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231621328 to the power of 1\/3, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529548*b**3 + 352293*b**3 - 881843*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 9*t**2 - 2*t + 7. Suppose y + 4*y + 45 = 0. List the prime factors of x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, v: 3, f: 4, r: 2, t: 3, s: 1}. Give prob of sequence ftt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 7*a**2 + a - 3. Let g be n(7). Suppose g = -o + 9. Let l be 8\/76 - ((-4994)\/209 + 9 + 10). Solve o*d = -5*r + 3 + 2, 0 = -r + l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5903 = -7*u + 9518. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20728 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 4971384.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let i(n) be the second derivative of -n**6\/240 + 5*n**4\/12 - 4*n. Let s(g) be the third derivative of i(g). Calculate b(s(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -g - 6, -2*h = -2*g - h + 24. Suppose 4*a - 9 = -k, a - k + g = 2*k. Calculate the smallest common multiple of a and 2\/(-4) - (-13)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 - 11. Suppose -7 = g - 1. Let j(u) = 3*u**2 - 2*u - 4. Let b(z) = -z**2 + z + 1. Let v(t) = 2*b(t) + j(t). Determine g*f(q) + 33*v(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1, -5 in increasing order.\nAnswer: -22, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x = -21*x - 2*v - 904, -3*v = -4*x + 3626. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*s + 19, 7*l + 3674*s - 3670*s + 43 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 10*z**2 - 17*z + 1. Give x(-12).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - (0 - (-1 + 1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1723, -6975, -15725, -27973, -43719, -62963?\n\"Answer: -1749*q**2 - 5*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 2*z**2 + 0*z**2 + (5*z - 7*z**2 - 5*z)*(-4 + 2 + 4) as u*z + d*z**2 + f and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from pbpxzxbbb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -55 * -1671\nAnswer: 91905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 97. Let v be g\/1 - 15\/(1*-3). Factor 0 + m - 1\/3*m**v.\nAnswer: -m*(m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -1288?\nAnswer: -1295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + q**2 + 4)*((-29 + 31 + 35)*(94 - 442 + 117) + (2 - 3 + 3)*(0 - 2 + 3)) to the form b + a*q + v*q**2 and give v.\nAnswer: -8545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.504233 + -71.52. Round q to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -907\/5 - -184. Let v(o) be the first derivative of -32\/15*o**3 - 7 + 2\/5*o**4 + l*o**2 - 6\/5*o. Determine z, given that v(z) = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 48. Put 2, 0.4, r, 0.3 in ascending order.\nAnswer: 0.3, 0.4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14121272, -14121271, -14121270?\n\"Answer: k - 14121273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**2 + 88*t - 1346. Let j(u) = 6*u**2 - 59*u + 898. Let i(p) = 8*j(p) + 5*s(p). Find the first derivative of i(n) wrt n.\nAnswer: 6*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**4*o + 11*l**4 + l**3*o + 185*l*o + l + 2*o wrt l.\nAnswer: -60*l**2*o + 132*l**2 + 6*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168cd8 (base 14) to base 15.\nAnswer: -109d94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54\/5 of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -152*10*20\/(-1600)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/35 in 0.27, 6, 2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/2 - (13 - 14). Let l(p) = p**3 - 4*p**2 - 6*p. List the prime factors of l(v).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -o - 2*f - 1, -3*o - 4*f + 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1742, -1740, -1738, -1736?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2448\/(-7854))\/(((-32)\/(-28))\/(-4))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**7\/2 - 3*g**6 - 129*g**5\/20 - 6*g**4 - 2*g**3 - 2*g. Solve c(n) = 0 for n.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) 3 (c) -1.018 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3588 - -3737. What is the remainder when k is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -347, -1.1, 2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243.88 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6 = 19, 0 = -4*j - 4*y + 836. Suppose -41*t + j = -45*t. Let k = t - -74. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 5*h - 4937 = -11*n, -n = -5*h - 2466. Suppose -25*j + 26*j = n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 50*m + 68 - 48*m.\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273909001 and 1924870?\nAnswer: 2739090010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9)**(-50) assuming t is positive.\nAnswer: t**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3 + 4 + h - 2*h**3 - 21*h**4 - h**2 - 1 + 22*h**4 to a + w*h + j*h**4 + m*h**2 + o*h**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/4*(-48 + (4 - 8)). What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30*(6\/(-4))\/1. Let s be (4\/6)\/((-6)\/w). Suppose -s*v = -f - 206, 2*v + 0*f + 4*f - 100 = 0. Calculate the highest common divisor of 28 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0401 - -48202652868.\nAnswer: 48202652868.0401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15429508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 959895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 0 + 3)*7. Let g = 76 - 71. Solve 4*t + 5*m + 3 = -d, 0 = t + g*m + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.03 (b) 4 (c) 1\/4 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 16, 33, 60, 97?\n\"Answer: 5*c**2 - 8*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62055956257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 12*t**4 - 256*t**3 + 824*t**2 + 2464*t + 1372 = 0.\nAnswer: -1, 7, 49\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -368 + 456. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 20*r**2 + 19*r**2 + 22*r + 4 to b + l*r + q*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*z - 57*z + 30*z + 97*z + 11*z)*(1 + 1 - 9).\nAnswer: -1428*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515780 and 24395.\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-117)\/2) + (12\/270)\/((-2)\/1340)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963140 to the power of 1\/2, to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834025757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3191870 is divided by 18033.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -38.78 - -1\nAnswer: -37.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45626 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -1\/17, -2, 3\/8, -69, -6, -4\/3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + 1)*5 - (-1*sqrt(1700) + -5).\nAnswer: -10 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 4*n + 3. Let o be b(-2). Suppose 0 = -o*l - 10*l + 4290. Is l a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -380 - -492. Calculate the greatest common divisor of z and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/3))**(-34) assuming a is positive.\nAnswer: a**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*a + 3539 - 809 = 0, 0 = 5*t + 4*a - 2690. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.1, 7, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269 - -273. Sort u, 10, 1, -2, 3.\nAnswer: -2, 1, 3, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62607 is divided by 121?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.46 - -1.461801. Round h to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 4. Let g(q) = 2*q + 2. Let h be g(1). Let a(n) = -n - 2*n + 2*n - 3*n - 3. Let k(y) = y. Let x(u) = -a(u) - 6*k(u). Determine h*x(d) + 3*c(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(19\/2)\/(q*q**(7\/4))*q**(2\/61)*q**(1\/5) assuming q is positive.\nAnswer: q**(8519\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, b: 6}. Give prob of picking 2 b and 2 n.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 4. Let u be g(-2). Suppose -2*z - 2*w + 7 = -1, -4*z + w = -u. Suppose d + 4*d + 61 = m, 107 = z*m - 5*d. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001134 (base 5) in base 3?\nAnswer: 210122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069675 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -5.11. Suppose 5*g + 6*g + 11 = 0. Which is the nearest to -1? (a) -2\/5 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-176)\/48 - 3*-1. Which is the nearest to s? (a) 5 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-6))\/(12\/(-72))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*g - 19*j + 23*j, 8 = 2*j. Let u(n) = -54*n - 6. Let s be u(-5). Calculate the greatest common divisor of g and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 8*c**2 + c + 19*c**2 - 205*c**3 - 8*c**2 to p*c**3 + v + i*c + l*c**2 and give p.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/5 - 10\/(-25). Let a(u) = -2*u + u - u - 2 - z*u. Is a(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1176, -5, 9, -11 in descending order.\nAnswer: 1176, 9, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 57 = 103. Solve -3*y = -m*x + 17, 17 = 2*y + 3*x + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177256212 divided by 606?\nAnswer: -292502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 486352.\nAnswer: 486351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/7 + 916*t**3\/7 + 75718*t**2\/7 - 929116*t\/7 + 1548000\/7 = 0.\nAnswer: -344, -125, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 - 6*t - 15. Let v be p(8). Suppose j - 3 = 2*d - v, -3*d + 4 = 2*j. Solve 3*z = 3*b + j*b - 14, -2*z - 16 = -5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Let k(z) be the first derivative of 28000*z**3 + z**2\/2 - 5*z - 1. Let w be k(y). What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdxo when four letters picked without replacement from xddxodfvxxodo?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)\/sqrt(3) - sqrt(14))*-5 - sqrt(14))\/(sqrt(56)\/sqrt(72)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 294301741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -41*l**2 - 377*l - 5. What is the tens digit of w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3340181 hours in days?\nAnswer: 0.0555840875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*-23\nAnswer: -117.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) -80 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9346585922 minus 0.05?\nAnswer: -4.9846585922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8430 divided by -2\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 = 0, 5*o - 5*h = 53 - 18. Let p = 127 + -91. Suppose -f = o*f - p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 1.1?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-812)\/(-98) - 4\/14. Solve 0*c + n = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-43))**(5\/4)*t**25\/(t**45\/t) assuming t is positive.\nAnswer: t**(-291\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392 + -340. Suppose -21*w + 73*w = s. Suppose 0 = 2*m + 3*m - 25. Calculate the highest common divisor of m and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.52012899 and 7.\nAnswer: 6.47987101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 303?\nAnswer: -88\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -417*o**2 + 3*o. Let g(l) = -811*l**2 + 2443*l**2 - 815*l**2 - 824*l**2. Determine z(g(w)).\nAnswer: -20433*w**4 - 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1680, -75, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 + -167. Suppose -12*i + 2017 = -g*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.982 + -0.018. Which is the second biggest value? (a) k (b) 0.2 (c) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 8*y**2 - 13*y - 11. Let n be m(6). What is the common denominator of 0\/n - ((-56)\/(-55) + -1) and 29\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, k: 1, t: 1, n: 2, x: 2, s: 2}. What is prob of sequence nnst?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0317 + -0.0825\nAnswer: -0.0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1445 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 2*i + 1. Calculate the remainder when 48 is divided by m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 5*3*sqrt(152))\/(4*3*sqrt(8)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 + 3. Suppose -3*o + 11 = -2*w, -2*o = -13*w + 12*w - 7. Let k = -238.1 - -238. What is the smallest value in m, k, o, 1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.0134\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from iodqhdddihidhd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.8, 7, 2, -3, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 + 4 = 0. Let w be ((4 - d)\/21)\/(1\/(-309)). Let v = w + 103. Solve -b - 4*b + 15 = v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-9144)\/14 + 13\/91). Let y = -89 - n. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 + 5*c + 8. Calculate o(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 717471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:58 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6962*m**2 - 55*m - 2321. Let w(p) = 10443*p**2 + 88*p + 3479. Let h(d) = 8*f(d) + 5*w(d). What is the first derivative of h(r) wrt r?\nAnswer: -6962*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 889*z**5 - 2*z**3 - 10018*z**2?\nAnswer: 53340*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -189 + 9. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155899 is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((198\/(-8))\/(-11))\/(12\/32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 5*c**2\/4 + 17*c\/4 - 21\/4.\nAnswer: -(c - 7)*(c - 1)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2124, -16985, -57330, -135903, -265448?\nAnswer: -458709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 - -2 - (2 + -12). Solve -2*k + x = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6) + 72\/16. Suppose -x - 306 = -b*q, -3*x - 361 + 59 = -4*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*w**2 - 19*w**3 + 142*w**2.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38596440 divided by 724.\nAnswer: -53310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 2 = 3*q - 4*w, 3*w + 7 = -q. Find the second derivative of 2*g - g + 4*g + q*g**5 - g wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8108247\/38 or -213375?\nAnswer: -213375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -534151?\nAnswer: -534155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1286, -10176, -24992, -45734, -72402?\n\"Answer: -2963*x**2 - x + 1678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 2, q: 6, z: 1, x: 2}. What is prob of sequence xqq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13058072 - 1587.\nAnswer: -13059659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 327?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -179933.\nAnswer: -143946.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/368595 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 39*o. Suppose 27 - 34 = -7*d. Let t(u) = -15*u**2. Let v(y) = 3*y**2. Let n(r) = d*t(r) + 6*v(r). Calculate a(n(i)).\nAnswer: 18*i**4 - 117*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 1191*x**3 + 213925*x**2 + 431427*x + 216310.\nAnswer: (x - 970)*(x - 223)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*l**3*p**3 - 16*l**3 - 150*l**2*p**3 - 22*l**2 - 3*l*p**4 + 7*p**2 wrt p?\nAnswer: 114*l**3 - 900*l**2 - 72*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.3, -20163, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457623493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -38679\/4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448692 divided by 12?\nAnswer: 37391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 290*500956\nAnswer: 145277240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 11415238.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 39, 89, 177, 315, 515, 789, 1149?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -10 - -2) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -175b3c6 - 5?\nAnswer: -175b3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/5 - 64*x - 1280.\nAnswer: -4*(x + 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 1, x: 1, y: 1, a: 1}. What is prob of picking 1 x, 1 y, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/8 + 3*l**5\/5 - 9*l**4\/8 + l**3 - 11*l**2. Suppose g(v) = 0. What is v?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + -c04?\nAnswer: -bce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttb when three letters picked without replacement from {b: 3, h: 6, z: 1, j: 1, t: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22270 divided by 1.\nAnswer: 22270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {l: 2, e: 5, g: 1, m: 2, q: 1, o: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-35)*2*(-3360)\/(-528).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 1\/21*f**6 + 4\/21*f**3 + 12\/7*f**2 - 36 - 1\/2*f**4 + 0*f**5 - 16\/7*f. Suppose t(m) = 0. Calculate m.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000267693 rounded to seven dps?\nAnswer: 0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/15 + (-1)\/(-3). Let k = 4\/5 + v. What is the nearest to k in -4, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 < 26966\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - -10. 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: Suppose x + 4*m + 3 = 0, 2*m + 2*m + 28 = 4*x. Suppose -x*w + 89 = -36. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 9) to base 16.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2 and 127\/11136.\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -26*b**3 - 3*b**2 + 1. Suppose 3*l + 14*l + 17 = 0. What is the least common multiple of 64 and q(l)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19383 - 29200. Is (2\/4)\/(m\/(-2454) - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20781560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -1. Let b(v) be the first derivative of -v**5\/60 - v**4\/12 - v**3\/6 - 9*v**2\/2 + 1. Let m(w) be the second derivative of b(w). Give m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/3))**(-6\/5)*((u**(1\/3)\/u*u*u)\/u)**(-45))**(-2\/5) assuming u is positive.\nAnswer: u**(166\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59239358 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/121 and -41\/24654234.\nAnswer: 24654234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(200) + 2 + 5 - (2 + 5*(2 + sqrt(200)) + sqrt(200)))**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*p + 108 = 0, 2*s = 6*s + 5*p - 116. Find the first derivative of s + 24 - 5*u - 46 wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6350951 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1 - (sqrt(832) + 1)) + 5 - 6*(-1 + sqrt(468)))**2.\nAnswer: -666*sqrt(13) + 17878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*n**2 + 26*n**3 + 112*n**2 + 2*n**3 + n**3 - 5*n**3 + (2*n**2 + 2 - 2)*(-3*n + 0*n + n) + n**3 + n**3 - 4*n**3.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -22. Sort 2\/13, 0.4, 0.2, n in decreasing order.\nAnswer: 0.4, 0.2, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1\/3, -2.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.5 - -14. Let x = -57.05 - g. Let w = 21 + x. What is w rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 - (5 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 2*r**2 - r - 1. Let y be h(-2). Let v be 246\/(-21) - (-2)\/y. Let w = v + 49. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/31 - -12\/217. Let u = -8\/45 + -2\/9. Which is the biggest value? (a) 2\/13 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -h + 4, -201*v = 3*h - 197*v - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - j - 5 = 290, 2*j = -4*v + 602. Suppose 0 = 3*o - v + 59. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10990 - -9719. Is f a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7244, 14466, 21660, 28826, 35964, 43074, 50156?\n\"Answer: -14*f**2 + 7264*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1391992873 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028384 to 6 decimal places.\nAnswer: 0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 35?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42450 is divided by 2000?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -9. Suppose -i - 2*y + 10 = i, i - 3*y = -r. Let a = 2616\/11 - 238. What is the second biggest value in i, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103546575 divided by -24075?\nAnswer: -4301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/36*(-8)\/10\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 30, 34, 40, 48?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-1\/6)))*(g**7\/g)\/g)**(-17)*(g**(2\/17)*g*g**8*g*g)**(-3\/14) assuming g is positive.\nAnswer: g**(-5179\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*r + 65 = -109*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8658571 centuries in millennia?\nAnswer: 0.08658571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)*(-2)\/(-4). Let r = -4 - -7. Let f = -1 + r. What is the smallest value in f, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484*y**4 - 21164*y**3 + 73152*y**2 - 60912*y.\nAnswer: -4*y*(y + 47)*(11*y - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936114.\nAnswer: 2, 3, 156019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.82278718 and 0.1?\nAnswer: -0.082278718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332142007?\nAnswer: 37, 8976811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0 + 22\/15*w**6 + 17\/3*w**3 + 0*w**2 - 218*w + 0*w**5 + 1\/12*w**4. What is the second derivative of z(c) wrt c?\nAnswer: 528*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55508221 is divided by 5745?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usdqnuqddnduqq. Give prob of picking 1 n, 2 u, and 1 d.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 24. Suppose 3*z = -y*k + 5 + 1, -6 = -3*z + 3*k. Solve -5*q + 4*h = 37, -z*q - h - 9 = -2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7606 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 - g**3\/3 + 160*g + 26. List the prime factors of t(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 13482.\nAnswer: 53928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 8, k: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*w + 18 = 0, 0 = 2*n + 1274*w - 1294*w + 40 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/32968458 and 133\/162.\nAnswer: 32968458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 543469 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u**30\/u)))**(-2\/27))**(3\/5) assuming u is positive.\nAnswer: u**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -1205\/9. What is the closest to k in 0, 2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -41695337?\nAnswer: -4\/41695337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 6.555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6368575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 7*p + 3*t + 2927, t = -3. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2131, 2266, 2505, 2848?\nAnswer: 3295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Let m = -31515 + 535757\/17. Is j less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/6 - 245*g**2\/6 + 487*g\/6 - 81\/2 = 0.\nAnswer: 1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -39. Suppose 3*t - t + a = 136, 2*a - 338 = -5*t. Let k = t - 21. What is the highest common divisor of k and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 536714?\nAnswer: -1\/536714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/256085280 and -133\/91296.\nAnswer: 256085280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2672*i*n**6*y + 4*i*n**4*y - i*n*y + 14*i + 2*n**2*y + 115*n*y - 6 wrt n?\nAnswer: 320640*i*n**3*y + 96*i*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2446682 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-760)\/(-285)*27\/24. Let j(k) be the first derivative of -10\/63*k**r - 8\/21*k + 1\/42*k**4 - 12 + 8\/21*k**2. Suppose j(u) = 0. What is u?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*g + 32 = 0, -19*g - 17 = -4*k - 16*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19829\/8 or -2479?\nAnswer: -19829\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008771252 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r + 6. Let f(o) = o**3 - 5*o**2 - o - 5. Is f(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85680960 divided by 6\nAnswer: 14280160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95776 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.2. Let w = -21\/34 - -53\/306. Let j = -6085\/11 + 553. Which is the third smallest value? (a) j (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-124)\/1302 + 157\/105. Which is the fourth smallest value? (a) -1 (b) -2 (c) n (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*o**4 + 549*o**3 - 45513*o**2 + o + 45511*o**2 + 50*o**4 as a*o**2 + g + w*o**3 + v*o**4 + l*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32340 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68840 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h. Let z(k) = 11*k. Let t(j) = -4*s(j) + 3*z(j). Let c(a) be the third derivative of 0 + 0*a**3 + 0*a - 7*a**2 + 1\/24*a**4. Calculate t(c(m)).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 231, 1, 1.6, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6017426 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1084078?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**3 - 10*k**3 + 17*k**3 + (-3 + 0 + 0)*(2*k**3 + 6*k**3 + 4*k**3).\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2656385, -2656530, -2656675, -2656820?\n\"Answer: -145*u - 2656240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y)**(-12)*y**(-2\/23)\/(y\/(y*y**5)) assuming y is positive.\nAnswer: y**(3727\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(91\/42). Which is the nearest to o? (a) -4\/3 (b) 2\/53 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4453264796176*s**3 + 40079378945032*s**2 + 37984967*s + 9.\nAnswer: -(s - 9)*(2110276*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43293951*g - 76*g**2 - 43293951*g.\nAnswer: -76*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 2\/13 in ascending order.\nAnswer: 0, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g + 3*g - 2*g + (4*g + 0*g - g)*(-16 - 19 - 6).\nAnswer: -128*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/984 and 59\/10008.\nAnswer: 410328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 + 3.1. Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 21, -6, -53, -126, -231, -374, -561?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40030, -160619, -361756, -643441, -1005674, -1448455, -1971784?\n\"Answer: -40274*h**2 + 233*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(11\/(330\/(-3)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and -0.20617?\nAnswer: 0.17617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*a - 5*a + 14*a - 4*a + 2*a + 4*a + 4*a + 2*a - 4*a + 0*a + a - 2*a + (-2 + 1 + 3)*(2*a - a + 3*a) in the form w*a + l and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.019 + 4.1742.\nAnswer: 4.1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 276024872 less than 0.7327?\nAnswer: -276024871.2673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose -h*c - 3*c = 0. Let j be c + -30*(-280000)\/2. What is j rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 579780 by -193260.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 15*u**2 + 372*u - 2354. Calculate f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 13 (b) 17\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/5)\/12 + 2\/10. Let j be 7 - 4 - (-3)\/(-1). Suppose 0 = m - j*m + 6. Put -4, m, w in decreasing order.\nAnswer: w, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212221211121 (base 3) to base 10\nAnswer: -471544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22677 and 0.43.\nAnswer: -0.0975111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/811290 and -16\/65.\nAnswer: 10546770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11792, -21998, -28942, -30992, -26516, -13882, 8542, 42388?\nAnswer: 89288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88724 and 898228.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6 - 497070*p**3 - p**2 + 531514*p wrt p?\nAnswer: 240*p**3 - 2982420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkkejgw. Give prob of sequence lgw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, 64, 14 in descending order.\nAnswer: 64, 14, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (151 - 151)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 46 = -3*o, -u - 6 = -2. Suppose 18 = -o*p + 21060. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1972423 times 2\nAnswer: -3944846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126408 and 2070.\nAnswer: 1896120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*p*q*v**3 + 15*a*p*v + a*v**3 + 9*p*q + 3*q*v**3 - 23*q*v with respect to a.\nAnswer: -4*p*q*v**3 + 15*p*v + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*(a*((a*a**(26\/9))\/a*a)\/a)\/a)\/((a*a\/(a*a*a**(4\/17)))\/a*a\/((a**26*a*a)\/a)))**15 assuming a is positive.\nAnswer: a**(19220\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (0 + 0 - 2) - (-1326 - -1255).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-119 + 63)) + -94?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152529 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111530292?\nAnswer: 2, 3, 2143, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*s - 205, 5*m - s + 199 = -0*s. Suppose 4*t = 6*t + 12. What is the least common multiple of (-6)\/(-4)*m\/t and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*m + 18*m - 24*m)*(4*m**2 - 4*m**2 - 7*m**3)*(-3 + 2 + 3)*(0 - 2 + 1) in the form y*m**2 + p*m**4 + w + q*m**3 + l*m and give p.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x - 64 + 64)*(2 - 1 - 2)*(-33 + 36 + 48 + 49)*(7 - 2 - 3).\nAnswer: 5000*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 10. Give m(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 618781 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - 10\/(-8). Let h = -9 - -3. Let w be (0 - 1) + (-18)\/h. Solve -q = -w*l - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 + (-5 - (0 + -8)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 6. Let x be (d\/(-2))\/((-1)\/(-3)). Let h be 1\/(-1)*(x - -1). Solve -h*r = 3*v - 17, -v + 2 + 8 = 5*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210.0559 + -314.0508. Let g = f - -104. Round g to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8008.404 millilitres to litres.\nAnswer: 8.008404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/22))\/t*t)\/t**(3\/28)*t\/(t**(-1\/3)\/t)*t**23*t assuming t is positive.\nAnswer: t**(25199\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 - 125 + 12*b + 4*b**4 + 266 - 139 to g*b**4 + l*b**3 + t*b + u + w*b**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(275))*1 + (-1 + sqrt(275) + -2*sqrt(275))**2.\nAnswer: 15*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.0000012 - 13. What is t rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15198748 greater than 15198685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 67437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 16071249*x\/2.\nAnswer: -3*x*(x - 5357083)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3079532*j**3 - 431*j - 1074.\nAnswer: 18477192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 94834.6 nanograms?\nAnswer: 0.0000948346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07209 and 0.03.\nAnswer: -0.0021627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*d**3 - 795*d**3 + 51*d**2 + d**2 - 5*d**2 + d**2.\nAnswer: -160*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77e + 2?\nAnswer: -77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1402465, 2804897, 4207329, 5609761, 7012193?\nAnswer: 8414625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18832311 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k**3*k))\/k*k))\/k)**18\/(k**(6\/13)\/k**(1\/2)) assuming k is positive.\nAnswer: k**(1405\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1025868)\/(-2544) + 14\/8 + -1. Solve 6 = j - 2*n, 407*n - 13 = -4*j + w*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 - (1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + (-124)\/12)\/(4\/(-6)). Solve b = 3*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*37306.86\nAnswer: 11192.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400568 to the power of 1\/2, to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-4*x**3 + 0*x**3 + 3*x**3) + (4*x - 2*x - x)*(-1 + 1 - 2*x)*(-2*x + 5*x - 4*x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Let g = -7 + d. What are the prime factors of g*1\/3*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22 - -1)\/(42\/(-196)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k + d - 5407, 0 = 4*d - 20. Suppose -k*j + 2707*j = 810. Do j and 136 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93500739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 - 192. What are the prime factors of v?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbf when three letters picked without replacement from bfxbbxbp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -761*r + 764*r - 7*x, -3*x + 13 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.47 + 0.07. Sort u, -4, -0.2 in descending order.\nAnswer: -0.2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (0\/(-3) - 10). Let h = 14 + j. Suppose -18 = -4*m - h. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001100111101011101010010 - 100?\nAnswer: -10010001100111101011101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let v(l) = 2*l + 3. Let f(o) = j(o) + v(o). What is the derivative of f(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5205028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 3*l - 1. Let g be p(-2). Let w be (g + -13 - 2) + 2. Let v = -6 - w. Solve 3*q = -0*q + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-40)*2\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g = 4*u - 10, 14 = 2*u + 2*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3256337 divided by 6.\nAnswer: 3256337\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1955 + 3114. Let h = 1158.9999237 - d. What is h rounded to six dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -100323333?\nAnswer: -100323310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27593 divided by -4.\nAnswer: -27593\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b - 16. Suppose -y = -3*l - 16, y = 11*l - 6*l + 18. Does 12 divide v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**2 + 4. Let t be s(-2). Let a = t - -20. Calculate the remainder when 19 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p**2 - 6*p**2 + 0*p**2 + p)*(126*p**2 + p - 111*p**2 - 3*p).\nAnswer: -345*p**4 + 61*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 5*q**4\/12 + 55*q**3\/6 + 75*q**2 - 71*q. Determine o so that u(o) = 0.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.1 (b) 1\/4 (c) 2 (d) -3 (e) -75\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {b: 7, r: 1, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 60. Let q be g\/((-5)\/(15\/(-3))). Which is smaller: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.208 - 0.208. Which is the third smallest value? (a) 0.3 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 5. Suppose -g - 5*v + 30 = 0, 2*v = -z*g - 3*g + 25. Solve -t + g + 0 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 108.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/120 + 2*o**5\/15 - 5*o**4\/24 + 3*o**3 + 10*o**2. Let l be s(6). Suppose l + 6 = j. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*v + 11. Suppose -3*t - 159 = -3*g, -5*t + 21 + 26 = g. What is the smallest common multiple of g and v?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15)*(-75)\/2310*7. Which is the closest to -0.05? (a) -0.5 (b) k (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -4.3. Which is the third smallest value? (a) g (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - h**2 + (-1 - 2*h + 1)*(5*h - 4*h + 0*h))*(-1 + h + 0*h - 6*h).\nAnswer: 15*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255\/26 - -1999\/117. Calculate the common denominator of 4\/(-182) - (-87080)\/(-443352) and m.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100211?\nAnswer: 23, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i + 3*b, -25*i + 20*i - 4*b = -90. Solve -5*z - 5 = -3*y, -8*y = -6*y + z + i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/148 and -73\/28651748?\nAnswer: 1060114676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(132)*-2)\/(((sqrt(192) - sqrt(12))*6 + sqrt(12) + sqrt(12))*-2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.032 + -1.032. What is the third biggest value in a, 15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 2*i - 1. Suppose 8*a - 69 - 43 = 0. Let p = 17 - a. Give m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 11502*s - 57536. Determine w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + 832. Suppose 2*d + v = 2*w - 0*d, d = 4. Is 48 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.87 in -2, -2\/9143, -1\/2, 8, -3\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379 or -39430?\nAnswer: -39430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 2*v + 65. Calculate the remainder when v is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 22498545?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470068?\nAnswer: 2, 117517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -828 - 12*g + 816 + 31*g. Let r(h) = -h**2. Determine i(r(a)).\nAnswer: -19*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 31 + 0 + -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964760.\nAnswer: 2, 5, 99119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -2 = -w + s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1300501 + 46?\nAnswer: 1300550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**5\/10 - v**4\/2 + 2*v**3\/3 - 885. Factor p(d).\nAnswer: d**2*(d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*s + 130 = -162*s. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.388 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14223330220 + 4?\nAnswer: -14223330211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48052.2 + -48052. Let o = -2 + 3. What is the third smallest value in -3, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 - 9*d + 8. Let h be b(8). Suppose p - 6*p + 55 = h. Let k(m) = 2*m - 8. What is the remainder when p is divided by k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(3) - (sqrt(3) + (sqrt(3) - sqrt(48)))) - sqrt(17)) + 4.\nAnswer: -2*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/(-15) - 3\/(-15). Calculate the highest common divisor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101826000 rounded to the nearest one hundred thousand?\nAnswer: 101800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 2*k + 3. Let t be j(0). Suppose -5*a - 3*p + p + 10 = 0, t*p = 0. Suppose -f = -3*s + 171, 0 = s - 6*s + a*f + 285. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n**2*s - 743236*n**2 + 42*n*s + 762*s wrt s.\nAnswer: 5*n**2 + 42*n + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16\/1573 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from xiexixxexxexxxixxe.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, 0.6, 2\/7, 13.2, -1\/5 in decreasing order.\nAnswer: 13.2, 8, 0.6, 2\/7, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:51 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*t = -1, q + 3*q - 5*t = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 5*y - 10. Let l be a(4). Let r(n) = -n + 2. Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r**2\/11 - 15094102*r\/11 - 2663664\/11 = 0 for r.\nAnswer: -443944, -3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122955 by 14.\nAnswer: -17565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*r**2 + 7*r - 8*r - 2 - 73*r**2 - 23*r**2 to w*r + q + j*r**2 and give j.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703046.\nAnswer: 2, 157, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23221\/21330 - -1\/4266. What is the common denominator of 39\/25 and y?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 + 48*f**2 - 156*f + 144 = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -1\/6 (c) 405 (d) -218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -476668795944 and -3.\nAnswer: -476668795947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + 0.23. Let o = -0.091 + 3.811. Let j = o - -4.28. Is g less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -2 - (-27712723 - -2). Let v = l + -80212722. What is v rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 229, 213, 181, 127, 45, -71?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 212*l + 369. What is the hundreds digit of y(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) + -2*sqrt(104)*5))\/sqrt(8) + (sqrt(65)\/sqrt(5) + 2)**2*-6.\nAnswer: -102 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6901 or 6900?\nAnswer: 6900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 3*n**2 - 3*n. Suppose -o + 17 = 3. Let i = o - 7. Calculate the remainder when q(3) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 * -14.87578\nAnswer: 7.2891322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -48. Calculate the smallest common multiple of 1 + 38 + -187 + 181 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4 + 8 + c**3 - 10*c + 3. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95\/9 + -89\/18. What is the common denominator of k and 91\/68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7*h = 13*h + 11*h. Let n(o) = 134*o + 4. Determine n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55277 divided by 10902.\nAnswer: -55277\/10902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 368 - 368.24. Round l to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:03 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 65020 = 14*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -688*g**2. Let f(x) = 134*x**2. Determine j(f(h)).\nAnswer: -12353728*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 11*g - 11. Let c be s(-9). Suppose -5*f + 16 + 5 = 4*a, a + 21 = 4*f. Let x = c + a. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8 - 4. Differentiate -z*y**2 + 2 - 1 + 1 wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -32. Let m = -7 + 13. Let q be 68\/m - (-6)\/9. What is the highest common factor of l and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 280 = -4*m - 0*m, 3*m + 5*u = 196. Suppose 4*a = 8*a + m. Let p be (-1440006)\/10 + a\/(-30). What is p rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 20572803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-42) + -55*(-3)\/(-21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*k - 80, y = -4*y. Suppose 6*o = 5*w - 41, 0 = -5*o - w + 58 - 56. Which is the closest to o? (a) -1 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 23. Solve -m*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 8541 + 1282 = -374*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d + 11*d + 31*d as x*d + z and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143456 + -430352\/3. Determine r so that 10\/3*r**2 + t*r + 2 = 0.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-10) + (-16)\/20. Let a(v) = -v - b + 4 - v. Let n(p) = 8*p**2. Determine a(n(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l. Let c(x) = -12*x. Give d(c(o)).\nAnswer: 144*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10193, 20380, 30563, 40742, 50917, 61088, 71255?\nAnswer: 81418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/((t*t**(3\/2)*t)\/t))**(-13))**(-3\/16) assuming t is positive.\nAnswer: t**(-585\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51259 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 3*c + 0*c. Let g(o) be the third derivative of -o**7\/630 - o**4\/8 + 6*o**2. Let v(t) be the second derivative of g(t). Give n(v(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1197966 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6333.51ml?\nAnswer: 6.33351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8938093.\nAnswer: 8938093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 11 + 2*f**3 - 3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103751.\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11845, -11850, -11855, -11860, -11865, -11870?\n\"Answer: -5*a - 11840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 43*a**2 - 25*a - 2648. What is x(-43)?\nAnswer: -1573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2002 - -2.2492. Which is the nearest to -2? (a) -2\/3 (b) -0.3 (c) 1\/4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 97866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o**4 + o**4 + 3*o**4 + (0*o - o - o)*(-15*o**3 - 3*o**3 - 9*o**3) - 2*o**4 + 4*o**2 - 4*o**2 as t*o + q*o**3 + k*o**2 + h + j*o**4 and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 2945?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/3 and 53\/36075193.\nAnswer: 108225579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = k, 2 + 13 = 4*m - 3*k. Let r be m*2\/(4\/2). Is -2 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 74. Suppose 19*c - 15*c + 4 = 0. What is the remainder when (-840)\/(-35) + (c - -1) + 3 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose -v*m + 2*m = -156. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + s + s - 10, -5*s + 2 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1035.5*0.53\nAnswer: -548.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -23*y + 20*y + 62, 5*y + 0*v = -v + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11328\/(-246) - 164\/(-3362).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/(-8) - -16. Let g be 6\/4 + p\/(-9). Put 3, 1\/6, g in descending order.\nAnswer: 3, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(128)*-3)**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -149*s - 639. Let o(t) = -36*t - 160. Give 2*j(u) - 9*o(u).\nAnswer: 26*u + 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483293415 divided by -5.\nAnswer: 96658683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*g)*(3 - 3 + 1481*g - 2566*g)*(-3*g - 4*g + 0*g) in the form o + j*g**3 + h*g + s*g**2 and give j.\nAnswer: -22785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 144. Let x = s + -16. What is the greatest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*d - 10 = 6, -4*p + 3*d + 12 = 0. Suppose p = 2*m - 10 + 4. Solve 6*n - r - 5 = m*n, 0 = -4*n + 4*r + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.103? (a) 2 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {q: 2, a: 1, m: 1, v: 5, z: 4, k: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1)*(-5 + 1). What is the common denominator of -51\/11 and (-341)\/45 + y\/(-18)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -117, -1\/3, -2, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Let h = 78 - 43. Suppose b - h = -5*r, -5*b + v*b = 4*r - 196. What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -7\/290, 0.3, -2\/25 in ascending order.\nAnswer: -1\/5, -2\/25, -7\/290, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3906 and 101556?\nAnswer: 101556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -49, -0.038, 0.154?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143479183 to the power of 1\/2, to the nearest integer?\nAnswer: 11978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 32*t**2 + 160*t - 256.\nAnswer: 2*(t - 8)*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45981562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 - -2.1. Which is the closest to n? (a) 2\/9 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 20. Find the third derivative of 2*m + 2*m**2 - j*m + m - 9*m**4 wrt m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 5*d**2 - 22*d - 16. Let o be v(8). Let t(j) be the second derivative of -j - 1\/12*j**4 - 1\/2*j**2 + o + 0*j**3. Differentiate t(a) wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*i + 673 = 101 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 7. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 2, n: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:29 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*z - 2*z - 2180856, -z = 5*x - 2180853. Suppose -4*s - z - 219122 = 5*v, 2*v = -4*s - 2399992. What is s rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 8. Let a be -1 - (-1*15)\/3. Suppose -2*o - 3*o = a*w - 38, w = 2. What is the remainder when o is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 7:48 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1770, 3427, 5062, 6675, 8266?\nAnswer: 9835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**6*b**(-7))**5\/(b**(-1)\/(b*b**(2\/3))*(b**0)**(-2\/9)) assuming b is positive.\nAnswer: b**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or 4814?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - t + 3283 = -2*t, -5*k - 2*t + 4120 = 0. Suppose 3*y - 2*j - 501 = 0, -4*y = y + j - k. Let w = y - 20. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m. Let f be q(-1). Suppose 15 - 27 = -f*u. Differentiate -3 - 30*t**u + 1 + 37*t**3 wrt t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249 + 3691 - f - 1234 - 1226.\nAnswer: -f - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 29*x + 92. What is u(-29)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 35 - 13 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 3*m**2 + 4*m + 2. Suppose -q + 2*o = -10, 3*q - 3*o - 23 = -2. Let n be c(q). What is the first derivative of 6 - 3 + n*b**2 + 2*b**2 wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1704438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 + 166. Let h(a) = -a**3 + 6*a**2 - 6*a + 3. Let y be h(5). Let i be (-23)\/(-10) - 2 - y\/10. What is the smallest value in i, -2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10122 is divided by 3370.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -4054203.\nAnswer: 85138263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186\/7 or 26?\nAnswer: 186\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5602.9 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690753885?\nAnswer: 3, 5, 709, 64951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2 + (-6 - 3 - 1)*(1 - 6 + 0))*(-b + 0 + 1 - 3*b) to the form x + l*b and give l.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2331?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 116, 130, 140, 146, 148?\n\"Answer: -2*j**2 + 20*j + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f + 296. Suppose 3*b = -2*l - 112, 2*b = 2*l + f + 18. What is the units digit of 12\/(-15)*(l - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*o + h + 7 = 163*o, 4*h = -3*o - 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19957*q**2 + 3274?\nAnswer: -39914*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 102*r**2 - 124*r - 913. Is y(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3 - (9 - 12)) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2799.88+-18\nAnswer: 2781.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 81.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 + -6 + 12 + 2 + -6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 88. Suppose -28*w = -26*w - 44. Suppose 2*m - j = w. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*b + 70 + 12, -4*b = 2*r - 12. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 4, 0.309, -2 in decreasing order.\nAnswer: 4, 0.309, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -0.04 (c) 0.01 (d) 3 (e) -983375 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2817 or -98646\/35?\nAnswer: -98646\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 - -427\/3. Which is the nearest to x? (a) 2 (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 26936228*g + 181390094716996.\nAnswer: (g - 13468114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 9. Let h = -2\/15 - 8\/165. Which is the nearest to h? (a) 1\/3 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180354454 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + y + 0*y)*(-8 + 13*y + 3 - 14*y) in the form d + g*y + n*y**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -5, 4, -1\/3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 1 v when three letters picked without replacement from nvvwi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 41 = 29. Let y = 24 + t. Let o be y\/(3\/6*-2). What is the highest common factor of o and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, d: 3, c: 2, x: 2, t: 1, a: 1}. Give prob of picking 1 c, 1 d, 1 a, and 1 t.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 2*s**2 + 3*s. Let q be c(2). Let j be 6\/(-21) + 956\/q. Suppose 5*b + 77 = -u + 441, -5*u + j = b. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = k + 4*y - 5, 0 = 2*k + 2*y - 16. Suppose 0 = k*i - 5*u - 192, i + 2*u - 48 = 7*u. Suppose i - 144 = -4*h. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + d + 36 = -2*f, 2*d - 36 = -4*f. Let h(p) be the first derivative of -p**2\/2 + 13*p - 6. Determine h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 64\/1 - (0 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 2*i + 5*t - 12, -t = 4. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*p - 10, -5*p = 2*q - 29 + 14. Suppose -2*v - z + 12 = -1, -p*z = 5*v - 40. Sort 3, v, -16 in descending order.\nAnswer: v, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 21946*q + 12 - 2 + 64316*q.\nAnswer: 86262*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 5*q - 1598*q**3 + 3193*q**3 - 1604*q**3 + 0*q.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 3334 = 3523. Solve q = -5*v + 41 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*o + 366*o + 15414 = -3334*o - 348594 for o.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 4*z, -4*d - z + 449 = 0. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f + 138. Let y(q) = 4 - 4 + 27946*q - 27944*q. Determine u(y(o)).\nAnswer: -10*o + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let b(y) = -y**3 - 16*y**2 + 35*y - 15. Let v(j) = -j**2 - 7*j - 28. Let z be v(-5). Let u be b(z). Solve -7 = -o*l + u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/(h**(-2\/9)*h)*h\/h**2*h\/((h**(-2)\/h)\/h))**(-4\/15))**(13\/3) assuming h is positive.\nAnswer: h**(-104\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 times 0.128?\nAnswer: 0.004864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, e: 4}. Give prob of picking 2 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a day?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.1? (a) -0.022 (b) -2 (c) 273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 10 = 4*o - 21, -o - 26 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*b = -92*v - 178*b - 176*b - 372, -4*v = 4*b + 284 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 l when four letters picked without replacement from ttllttlttttttttt.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 - 7*f - 3. Let y(i) = 7*i**2 + 6*i + 2. Let u(h) = 6*m(h) + 7*y(h). Let z(q) = 1. Determine u(t) + 5*z(t).\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -352*l**3 - l**2 - 11*l - 15. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + p**3 - 3*p**3 + (p**2 + p**2 - p**2)*(p - 3*p + 0*p) - p**3 + 4*p**3 + 2*p - 2*p**3.\nAnswer: -6*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Let p be -3 + 1 + -1 + j. Put -3, -6, p in ascending order.\nAnswer: -6, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2)*-1 + 1 + (sqrt(2) - (sqrt(50) + sqrt(2))) + sqrt(2) - (-3 + sqrt(2) + -3 + 0))**2.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, -2\/9, 2, -2.\nAnswer: -2, -2\/9, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) -4469 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 5*g + 25. Suppose 0 = 2*d + 2*c - 4, d + 2*c = 3*d. Let a = d + g. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 4*x + 0*x)*(4 - 2 - 1) as c*x + h and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61631 (base 8) in base 11?\nAnswer: 1817a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.2 + 14. Let p = 289.194 + -292. Let l = p + c. What is l rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -396072 greater than -396080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 0*k - 416 - 5*k - k + 8*k as z + i*k and give z.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:06 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + m = 1, -8 = 63*k - 68*k + 3*m. Which is the second biggest value? (a) -2\/3 (b) k (c) -34\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/6 + 217*o**3\/6 + 2203*o**2\/3 + 3068*o = 0. Calculate o.\nAnswer: -13, -6, 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 7*c**2 + 2. Let d be z(-7). Let r(p) = d*p + 2*p - 2*p - 4*p. Calculate r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122671, 245329, 367989, 490651, 613315, 735981, 858649?\n\"Answer: n**2 + 122655*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/2167 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**6*j))\/j**(-1\/3) assuming j is positive.\nAnswer: j**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -41. Let k(f) be the second derivative of 1\/2*f**u + 1\/6*f**4 + 0*f**3 + 0 - f. What is the first derivative of k(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z**2 + 4*z - 3. Let o be b(1). Let d(g) = g**2. Let u(j) = -18*j**2 + 35. Let h(y) = o*u(y) + 5*d(y). Differentiate h(r) wrt r.\nAnswer: 46*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/7)*f\/f**(-6)*f)**(-4\/7)*(f\/(f**0\/f)*f\/f**7*f)\/(f\/(f**(-2\/3)*f))**(-21\/4) assuming f is positive.\nAnswer: f**(-439\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(91) - (sqrt(91) + sqrt(91)*2) - sqrt(91)))\/(sqrt(56)\/sqrt(2) - sqrt(7)) - (-5*(sqrt(13) + sqrt(13) + sqrt(13) + -2) - sqrt(13)*4*-3)) + 4.\nAnswer: -6 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.04587cm in millimeters?\nAnswer: 960.4587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330193181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 6 = -13, -26 = -5*o - 3*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k**3 - 16*k**2 + 16*k**2)*(0 - 1 + 2)*(-109 + 145 + 350) as h*k**3 + p + a*k + y*k**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1967 = 5*k - 12*k. Let d = k - 1110. Let b = 1163 - d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r - 2. Give t(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -1. Let k = -60 + 45. Let z = k - d. What is the nearest to -8 in 1, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1026 = -16. Suppose 58 = -4*i + t. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 + 1.19. Let z = 1399.6 - 1400.6911. Let l = z + b. Round l to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261702 divided by 93.\nAnswer: -2814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183284 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2226 = -2340 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/32 and -61\/119180744.\nAnswer: 476722976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -188\/7837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**5)*(s*s**13*s*s*s)\/s)\/(s**(-12)\/((((s**14*s*s)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*v + 3*v. Suppose 0 = 5*t + 5*g - 60, t + 2*g + 4 = v*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6417*g - 6417*g + g**2 - 4*g**2. Let i(h) = h**2 - 2440*h. Calculate i(b(v)).\nAnswer: 9*v**4 + 7320*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snsssvnennseese. Give prob of picking 2 n and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*w - 12740 = -139*w. Let g = 64 - 2. Let d = g + w. What are the prime factors of d?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-9))\/10)\/((-3)\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -b + 38563, -90*g = -4*b - 95*g + 154189. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.8734 and -20?\nAnswer: 337.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 160 = 0. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 + 8300.3?\nAnswer: 8224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3609 + 3605 - 2*l**3 - 2*l**4 + 2*l**2 + 2*l + 0*l as a*l**4 + s*l + v + x*l**2 + z*l**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byybb. What is prob of picking 1 y and 3 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 0. Suppose m = -z + 5*q + 220, 5*z - q - 248 = 804. Suppose z = -4*n + 8*n + r, -n - 5*r + 62 = 0. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1358*j - 2689*j + 2775 = -1406*j for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142269 + 142265.5. Let f = 0.1 + -1.1. Which is the nearest to 1\/6? (a) v (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 12*h - 29. Let s be r(8). Let w(l) = 42*l**2 - 11*l + 7. Let q be w(s). Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 51 + 56 = 0. Let k = -6491\/206 - -1\/103. Let s = k - -32. Which is the nearest to -0.1? (a) s (b) m (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 33 + 695*k - 1364*k + 33 + 680*k.\nAnswer: -3*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-46)\/q*q\/(q**46*q) assuming q is positive.\nAnswer: q**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2887.419ml to litres.\nAnswer: 2.887419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -42*p. Let k be (-6)\/(-11) + 126\/11 + (-2 - -5). Let q(z) be the second derivative of 0*z**2 + 0 + 1\/3*z**3 - k*z. What is q(t(r))?\nAnswer: -84*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*y + 324 = 0, 17*y = 3*o + 16*y - 233. Solve -21*f + o = -26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = -r + 273, -x + 1305 = 5*r. What is the remainder when r is divided by 85?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 39. Let x(t) = -t**3 + t**2 + 5*t + 4. Let j be x(-1). Sort j, w, -3, -7 in decreasing order.\nAnswer: w, j, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 81*d**2 - 115*d - 2436. Let z be v(-82). Calculate the highest common divisor of 70 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-120)\/18))\/((-3)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*r + 6384 = -279*r + 49*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 868 + -945.8. Let q = y - -77. Let z = 2.2 - q. Sort 1, z, 5 in descending order.\nAnswer: 5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12038871.20000003 - 12038871. Let z = i + -0.2. What is z rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(98) + 3)*1*-5 + -2 + (sqrt(2)*-1*-6 - sqrt(2)) + 3 + -5)**2.\nAnswer: 1440*sqrt(2) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6197 + -24775\/4. Which is the third biggest value? (a) 1 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (1 + -1 - -103). Suppose -41 + p = k. Suppose -k = -4*l - 26. Calculate the highest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 214253270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 8. Solve -m*i + 5 = p + 16, -5*p + 3*i + 14 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13186*u - 47229 wrt u?\nAnswer: 13186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2809351\/12 + 234559. Let t = h - 446. Suppose l + 4 = 5*l. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 109 = -n. Let v be (-23)\/4*-2 + 0. Let x = v + -12. Is x >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4787, -19042, -42799, -76058, -118819?\nAnswer: -171082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u - 13*u + 61*u.\nAnswer: 67*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (21\/3 + -4). Let q be l\/(6\/3) - 3. Which is bigger: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 4*g**2 + 2*g**2)*(-1 + 1 - 30*g)*(0 - 3 + 2).\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s + 4*q = 30*s + 35004, -23340 = -2*s - 2*q. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -19*p + 20*p + 8*p**2 - 9*p**2. Let d(q) = -3*q**2 + 5*q. Give d(z) - 4*i(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483164?\nAnswer: 2, 11, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 12*k + 14. Let h be x(11). Solve -h*y + 0*b = 4*b + 4, -2*y - 3 = 3*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44483753 + -2723033.\nAnswer: 41760720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/136 - (-19)\/4)*(-1 + 17)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11434 - -1?\nAnswer: -11433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16335141 or 0.062?\nAnswer: 16335141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-18642)\/(-2070)) + 7. Let c = 1414\/5865 + a. Find t such that 2\/17*t**3 - c*t**2 + 0 + 2\/17*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*t = 5, 5*k - 4*k + 9 = 5*t. Suppose r = -5*p + 6 - 29, p + k = r. Let s(h) = -h - 3. Let j be s(r). Are -1\/6 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 218?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 2*q)*(-1 + 3 + 12)*(-2 + 4 - 1).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 38*i**2 + 85*i - 680. Give u(-35).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6450 and 2666?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j**3 - 3*j**3 - 7*j**3 + (-2*j**2 + 4*j**2 + 0*j**2)*(10 - 4*j - 10) + 0*j**3 + j**3 + j**3 + (-j + 4*j - j)*(2*j**2 + j**2 - 5*j**2).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12676.996 - 12702. Let z = x - -25. What is z rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 12. Let o(a) = -6*a**3 - 1. Let v be o(-1). Let l be x(v). Let i = l + 2. Put i, -4, 2 in decreasing order.\nAnswer: 2, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2634, 1, 4, -33 in descending order.\nAnswer: 2634, 4, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 143030208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 19 = 2*u. What is the lowest common multiple of 2\/u - 78\/(-6) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/((-6)\/5259))\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42435575 divided by 115?\nAnswer: 369005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 11 + -5 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 3*w - w + 16*w - 8*w + 10*w - 6*w + 2*w + 2*w + (-3 - 1 + 2)*(2*w + 0 + 0) + 0*w + 2*w + 0*w + 2 + w - 2 to the form h + m*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7203874 to the power of 1\/2, to the nearest integer?\nAnswer: 2684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g - 5 - 5*g - 2 + 71*g. Is u(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222111022 (base 4) in base 7?\nAnswer: 3462524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -1094.\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 98599109 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, m: 1, i: 1, u: 1, w: 2}. What is prob of sequence nm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1540 + 1?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244320*j - 244326*j + 488643*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 4*h = -9*v - 7*v + 24*v - 183, 3*v - 2*h = -87 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 + -104?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786519?\nAnswer: 3, 281, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from fffrfffrfrff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 47, 6 in ascending order.\nAnswer: -5, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 83507967.9ns?\nAnswer: 0.00000013807534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147 - 543194?\nAnswer: -543047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 8196168?\nAnswer: 1\/2732056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99463 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxpspzppspppxkppx. What is prob of sequence zx?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(36)\/sqrt(9)*-4)\/(sqrt(16)\/(sqrt(48)\/sqrt(6)*-2)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 42*l**2 + 3*l - 2. List the prime factors of q(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932636.9nm in kilometers?\nAnswer: 0.0000009326369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 27725756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 0 + 0)*(-2*s**2 - 3*s**2 + 5*s**2 - 76*s**3) as p*s + o*s**2 + m*s**4 + n + b*s**3 and give m.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -4.07. Let a = 66 - 65. Let j = -7 - -5. What is the nearest to 0.2 in a, j, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -337, -4.\nAnswer: -337, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868 + 113 = 102*c + 7*c. Calculate the lowest common multiple of 1176 and c.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/100*-4*5*(-3)\/21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:59 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -534 or -536?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1*((-361)\/38)\/(247\/(-52)))\/(1\/32)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) - (sqrt(104) + -3*sqrt(104)))*2)\/sqrt(8).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/23)\/w*w\/(w\/w**14))\/((w**0\/w)\/w)**(-44) assuming w is positive.\nAnswer: w**(-1719\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:17 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -64 - -14 - (39 - -20).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -30 + 3\/4*l**2 + 3*l - 1\/2*l**3. Factor u(z).\nAnswer: -3*(z - 2)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let f(a) = -a + 6. Let q be 2\/8 - (-105)\/12. Let s be f(q). Put b, 5, s in descending order.\nAnswer: 5, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25762 or -25782?\nAnswer: -25782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5*n*y + 72*a**3*n*y - a**2*n + 1101*a**2*y wrt a?\nAnswer: -120*a**2*n*y + 432*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 3*f + 8. Let v(b) = -b**2 - 2*b + 7. Let r(s) = -2*a(s) + 3*v(s). Is r(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6102603.\nAnswer: 3, 13, 43, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3726491 to the power of 1\/2, to the nearest integer?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 2, x: 2, j: 1, k: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009609.\nAnswer: 1009609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 7*a + 66022 - 65983, 4*a = -11*j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (3 - -1) - -3. Calculate the highest common factor of m and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68000 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 29. Let l be n(-26). Find the common denominator of (-21)\/(-72)*10 - 1 and -1*(0 + (-93)\/15)\/l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 88 - 23 = 0. Let j = s + 1. Let l(z) = 1. Let c(g) = -g + 3. Give j*l(k) + c(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*(k**(3\/5)\/k)\/k)*k)\/(k*k**(-1\/13)))**(-7\/6))**(2\/17) assuming k is positive.\nAnswer: k**(-224\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76405 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -383 - -173. Let h = p + 246. What is the least common multiple of 6 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a2a547 - 3?\nAnswer: 4a2a544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 1183*f**2 - 4*f - 1185*f**2 + 2. What is k(4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 18, -1382, -0.3, 0.8, 0.4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - 0. Let w = d + 85. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.9557483 - -0.0477283. Let x = 9.679 + 0.221. Let r = t + x. What is r rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b92 - 4?\nAnswer: b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 7992.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201540 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38181 and 112827.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 + 4*n)*((3 - 3 + 3)*(0 + 4 - 1) + 0 + 1 + 1).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 - 161*z - 862. Give c(-6).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48552358?\nAnswer: 2, 24276179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4, 0 = f - 2*b - 9. Let u(z) = z**2 - 5*z. What are the prime factors of u(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + -6 + (11 - 11). What is the greatest common factor of 4291 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 32394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 143 = -1907*t + 1911*t, -5*m + 109 = 4*t - 46 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -18) + 601 + -618?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 3*t**2 + t + 1. Let q be s(3). Let n(b) = -b**3 + 4*b**2 + 2*b - 6. Calculate n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -6072.4\nAnswer: -60724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.43 - -19.57. Let v = -21.16 - -0.16. Let r = s + v. Which is the nearest to r? (a) -2\/9 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -381727.5489981 + 381691.549. Let n = 36 + r. Round n to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -16\/7, 10, 0.14, 30.7, 1\/2, -1, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24797, -49643, -74487, -99335, -124193, -149067, -173963, -198887?\n\"Answer: -c**3 + 7*c**2 - 24860*c + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*n + 0*n**3 + 12*n - 4*n**3 + 5*n**3 + 13*n**5 wrt n.\nAnswer: 260*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2 - x**3 - 13*x - 18*x**2 - 2*x + 4*x. What are the prime factors of z(-18)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 - 95*f**2 + 151*f**2 - f + 140*f**2 + 51*f**2.\nAnswer: 247*f**2 - f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 487503*n\/2 + 975003\/4.\nAnswer: 3*(n + 1)*(n + 325001)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105276060 and 18308880?\nAnswer: 421104240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + p + 53 = -4*h, 3*h + 3*h + 80 = 591*p - 589*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**3 + 4*g**2 - 2*g + 7. Let n be r(5). What is the common denominator of 9 - 460\/52 - n\/286 and 41\/212?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/57 and -7\/234?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407912610 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/66 + (-4)\/22. Suppose -y*v + 10 = -2*b, v + 1 = -2*b - 3*b. Let q(t) = 5*t - 1. Determine q(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.2984 tonnes in nanograms?\nAnswer: 57298400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.67*31.\nAnswer: -51.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 16. Let f be g(-9). Calculate the greatest common divisor of 88 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146586, 1172632, 3957640, 9381102, 18322510?\nAnswer: 31661356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -466, 4, 6 in descending order.\nAnswer: 13, 6, 4, 3, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -13, -7, -14 in decreasing order.\nAnswer: 3, -5, -7, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -2, -0.93, -3, -29?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 282.7637304 and 0.09.\nAnswer: 282.8537304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 45 = -8*z + 3*h, 0 = -3*z + h + 27. Calculate the highest common factor of z and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Suppose -6 - 4 = 2*o. Let t be x(o). Suppose -141 + 53 = -2*b + 2*a, t*a = -4*b + 168. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m + 2. Suppose 2*i + 10 = 4*i. What is the units digit of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 - 2*u. Let l be k(2). Suppose l*h + 96 = 8*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 353327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**2\/2 + 1. Let t(n) = n - 3. What is i(t(z))?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1054 + -1059.77. Let q = -6 - m. Let j = 0.07 - q. Sort j, 1\/6, -0.4 in decreasing order.\nAnswer: j, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {e: 2, s: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 3 + 5 - 5)*(-3 + 6 - 2) + 5 + 2*u - 5 in the form s + f*u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 2*m**3\/3 + 7*m**2\/2 - 5*m. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 <= -293326\/695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -52\/99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14301419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*k**2 - 2*d**2*k + 21*d**2 - 29*d*k**2 - 2*d*k wrt k?\nAnswer: -4*d**2 - 58*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 1. Let m(b) be the second derivative of 0 - 2*b + 7*b**2 + 5\/12*b**4 - 11\/6*b**3. Let k(j) = 4*l(j) + m(j). Factor k(h).\nAnswer: 5*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*i, 4*n - i = 14 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -43. Find the second derivative of -3*l**2 - 25*l + 6*l**2 + 14*l**2 - y*l**2 wrt l.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2461*t*y**4 + 1615*t*y**2 + 17*t + 1379*y**4 + 353*y - 2 wrt y?\nAnswer: 59064*t*y + 33096*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**4\/24 + 5*g**3\/3 + 2*g**2. Let b be m(-11). Let a = b - 3. Sort 3, 2, a in increasing order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5740 + -3242. Let t = m + -9901\/4. Find the common denominator of t and -47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1001, 0, -2, 2, 6 in descending order.\nAnswer: 6, 2, 0, -2, -1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4607566, -4607569, -4607572, -4607575?\n\"Answer: -3*g - 4607563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9 - 1\/(-6). Let k = -79343 - -1190143\/15. Which is the nearest to x? (a) -0.3 (b) k (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - -0.28. Let i = r - -0.7. Let j = -2 + i. Do 0.1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1\/6, 0.4, 0.046, -30.\nAnswer: -30, -1\/6, 0.046, 0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47)\/(-15)*(-1395)\/18. Let o = f - -239. Let i = 121\/30 + o. What is the nearest to -1 in -2\/13, -4, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.4 + -8. Let a = 1.6 + s. What is the nearest to a in -3, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2643 - 658. List the prime factors of o.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35\/11 + -83\/33. Let m(c) = 5*c**2 - c + 4. Let k(t) = 9*t**2 - t + 7. Let q(n) = 6*k(n) - 11*m(n). Let z be q(4). Is z != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-12)\/4 - (16 + -17)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 721 = j, 7 = 5*j - 13. Suppose 4*g - 2*l - 111 = n, 187 = 2*g + 3*l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/20*d**5 + 0*d**3 + 0 + 0*d**4 - 2*d**2 - d. Let j(z) be the first derivative of t(z). Let x(s) = 2*s. Give x(j(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 + -2)\/((-500)\/3475)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 20*c**3. Let a be t(1). What is the units digit of 125\/a - 6\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 210122303?\nAnswer: 210122300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - o. Let r(h) = 14*h**2 + 5*h + 3. Calculate -r(p) - 2*x(p).\nAnswer: -8*p**2 - 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 537\/5 + ((15\/(-4))\/(-3))\/(1494300\/(-478176))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159773.56 - -2.2?\nAnswer: -159771.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 161, -13, 8, 0, -2 in decreasing order.\nAnswer: 161, 8, 1, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000447857 rounded to 7 dps?\nAnswer: 0.0000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -364*z + 32369. Calculate h(89).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49.54 - 49. Let k = s - 0.04. Let q = 0.488 - k. What is q rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -585 - -1079. Calculate the highest common factor of f and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.5 (b) 0 (c) -116\/11 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -2) + (-861)\/((-15)\/5). Suppose -4*r = 5*v + w, 4*v + 128 = 2*r - 84. Let s = -164\/3 - v. Which is the nearest to s? (a) 0.3 (b) -3\/4 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 5*q = 169 - 139, -23*q = -w - 110 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w**2. Let x(y) = 5*y - 12. Let q(f) = -36*f + 80. Let p = -44 + 41. Let h(n) = p*q(n) - 20*x(n). Determine h(m(l)).\nAnswer: -136*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1874*i**2 + 742*i**2 + 626*i**2 + (4 - 4 - 2*i)*(-2*i + i + 3*i) + 4*i**2 - 2*i**2 + i**2.\nAnswer: -507*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1286.0827 - -1284.3. Round l to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 9*k**3 + 14*k**2.\nAnswer: k**2*(k - 7)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 29*y = 60*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (2 - 2) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6216, -6162, -6064, -5916, -5712, -5446, -5112, -4704?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1011 + 1066. Is 32 a factor of (100\/x + -2)*-10681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 - -2044103?\nAnswer: 2044330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1000 - 1000 - 2*f)*(-10*f + 12*f + 1 - 4*f) in the form d*f**2 + b + x*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -93, -305, -717, -1395, -2405, -3813, -5685?\n\"Answer: -11*f**3 - f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 18*m**2 + 51*m - 3. Let o be k(-3). Solve 9 = -l - 5*r, -4*l + o*r = r - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5467 + -2587. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 13*g + 14. Let t(l) = -l**3 - 4*l**2 + 6*l - 6. Let b be t(-5). Let a be x(b). Let j = a + 54\/7. What is the smallest value in -4\/7, -0.3, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3617\nAnswer: 3\/3617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 386692517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -185*k**3 + 92*k**3 - 11 - 11*k + 9*k**2 + 92*k**3 + 7*k. Calculate r(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*j = -7, -3*f - 2*j + 4*j = 21. Let g = 3\/2 - 2. Which is the second biggest value? (a) g (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -114. Let d(o) = -24*o + 10*o - j*o + 2*o. Let p(c) = -2*c**2. Calculate d(p(x)).\nAnswer: 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, d: 4, e: 9, y: 3}. What is prob of sequence eydq?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)\/z*(z*z**(-11))\/z)\/(((z**(-1\/6)\/z)\/z)\/z*z**10*z))**(-28) assuming z is positive.\nAnswer: z**(2086\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*i**3*n**3 - i**3*n + 3*i*n**4 + 49*i*n wrt n?\nAnswer: -198*i**3*n + 36*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001441373 to five decimal places.\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 23 - 14 + 8*r - 11. Let i be h(1). Suppose 5*g + 13 = 2*l, -l - 2*g = 3*g + 1. Sort l, 2, 0, i in ascending order.\nAnswer: 0, 2, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (21\/(-28) + 8\/(-32))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/7)*c**(-21)\/c assuming c is positive.\nAnswer: c**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 22 + 26*p + 0 - 12. Let a(b) = 51*b + 19. Let j be -5*3\/(-6)*2. Let l(s) = j*h(s) - 3*a(s). Differentiate l(u) wrt u.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**3\/6 - a**2 - a. Let q(i) = -i - 2. Let r(k) = -2*k + 2. Let l = -10 - -13. Let n be r(l). What is n*q(w) + 3*z(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -74. Let g(p) = -4*p + 3. Let c(z) = -z + 2. Let m(r) = u*g(r) - 2*c(r). Let q be (-18)\/(-15)*(-10)\/(-4). Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53134 - -91607. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*t**4\/7 - 7449*t**3\/7 + 770040*t**2\/7 + 128547*t\/7.\nAnswer: 3*t*(t - 207)**2*(6*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4383139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80194 - 91*p - 80194.\nAnswer: -91*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -32, -31, -30?\n\"Answer: h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700950 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99817440, 99817438, 99817434, 99817428, 99817420?\n\"Answer: -i**2 + i + 99817440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74369 - -110369. Suppose 4*l - 2*l = k. What is l rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186648001319 - 30209725605595737\/161854. Let d = 2\/7357 - f. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let j be 1 + 3 + (-94)\/18 + 34\/153. Let n(s) = -18*s + 5. Determine j*n(h) + 5*w(h).\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*k - 809, -5*k + 577 + 260 = 3*d. Suppose 5*i = -3*p + 135 - 9, 210 = 5*p + 2*i. Calculate the remainder when k is divided by p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 16*r + 81*r - 7*r. Let j(h) = -2*h**2. Give l(j(b)).\nAnswer: -178*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -2\/55 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, i: 5}. Give prob of picking 1 i and 1 y.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10750 (b) -1.2 (c) 0.5 (d) -223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -20*o**3 + 1239*o**2 + 474*o - 25515. Calculate f(62).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:26 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263 = -12*k - 1299 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 5}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.3 in 1, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -91274477566899?\nAnswer: 91274477566902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13113480 divided by 5.\nAnswer: -2622696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 + t. Let y(f) = -1105*f - 88. Let r(n) = 349*n + 29. Let j(a) = -19*r(a) - 6*y(a). What is j(o(z))?\nAnswer: z**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m - 3*m)*(-m**2 + 7*m - 7*m - 21*m**2).\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 12\/(-4) - (3 + -3)\/(-10). Solve 0 = -10*f + l + 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72462180 and 70.\nAnswer: 72462180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*r + 6. Calculate the remainder when 12 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0 - 1\/60*p**4 + 1\/10*p**3 + 0*p**2 - 12*p. Suppose r(q) = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 947798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 39*o - 35 = -34*o, -s + 3*o = -17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*n**2 - 9*n**2 - 18*n**2)*(-3 + 1 - 1)*(2 - 60*n - 11*n + 36*n) as d*n**2 + r + v*n + o*n**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**3\/7 - 3938*w**2\/7 + 176824*w\/7 - 644160\/7 = 0?\nAnswer: -2013, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 at least as big as 17717706\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 4.16053.\nAnswer: -4.05053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 0, -14, -28, -42?\n\"Answer: -14*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 520 (base 6) to base 13\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 - f + 5 - 4*f**3 + 0*f**3 + 6*f**4 + 4*f**2 + 12*f**4 - 16*f**4 to m*f**3 + t*f**4 + b*f**2 + y + q*f and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-88)\/10)\/((-7)\/245). Let j = a + 647. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 - (-1 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*2*3)\/(1*sqrt(28)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let j(o) = -2*o**2 + 45*o - 8. Let w(b) = -3*b**2 + 44*b - 10. Let t(i) = -5*j(i) + 4*w(i). Give t(k(d)).\nAnswer: -8*d**2 + 98*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 15. Let y be (8\/(-6))\/((-5)\/(-15)). Let s be a(y). What is w in s*w**2 - 100*w - 336 - 147 - 17 - 8*w**2 = 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {l: 3, x: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*n. Which is the nearest to n? (a) 0 (b) -0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 201200.\nAnswer: 201199.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -496228 and 3.\nAnswer: -496225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132)\/165 + 46\/(-5). What is the remainder when 131 is divided by v\/(-25) + (468\/30 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/18 and 2\/(-6) - 1406\/399.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 6*a\/7 - 4\/7.\nAnswer: -2*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 24 = 2*p, 2*k - 5540 + 5558 = -p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/(-12415))\/(4\/(-30)). Suppose 0 = 2*i - 10*o + 30, -22*i + 23*i + o = 3. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 + -153171998.42426\nAnswer: -153171998.18426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -2*a. Differentiate -s**3 - s**3 - 1 + s**a wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2332 and -300.6426.\nAnswer: 2031.3574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -394 - -1974\/5. Suppose -3 = -3*l - 6. Let h be l\/(-4) + 7\/4. Are g and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -11*i + 5. Let m be u(-7). Let k = 353 - m. Suppose 0 = 5*c - 2*g - 575, -3*c + k = -g - 75. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 137145849371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 k, and 1 j when four letters picked without replacement from {z: 1, f: 2, j: 1, i: 1, k: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*k - 51586 - 23205 = 36942 - 20111 for k.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/48 and -13\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -11*j - 23. Suppose 3*q + 3*g + 9 = -0*g, 4*q = 5*g + 15. Put 3, j, q in descending order.\nAnswer: 3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7680 divided by -3840\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.44 + -329.56. Let b = c - -336.000167. What is b rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*d + 48*d + 4. Determine r, given that 2*r**5 + 3*r**2 - 4*r - 9*r**d + 2*r**3 + 4*r**4 - r**4 + 3*r**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-1))\/(20\/110). Let q = -11 + 22. Calculate the greatest common divisor of b and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-14 - (-4 + 3)). Suppose -5*d = -u - 84, -5*u = -2*d + y + 38. Let w = 27 - d. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1\/2 (c) 70 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 63.677773?\nAnswer: 318.388865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 5, 2\/7, -164\/5 in increasing order.\nAnswer: -164\/5, -6, -3, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010100011010100 (base 2) in base 11?\nAnswer: 233732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(448) + 4)*-5)**2.\nAnswer: 7200*sqrt(7) + 101700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -733798*w**3 + 855800*w**2 + 2 wrt w.\nAnswer: -4402788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8349 + 14803. What are the prime factors of c?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 3235546.\nAnswer: 32355460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 180, 426, 822, 1374, 2088?\nAnswer: 2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, -924?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:07 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*((-21)\/12 + 4). Suppose l - 179 = -5*q, 6 = q + 3*l - a. Let p be (1 - -3) + -2 + 71*2. What is the greatest common factor of p and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -6, 35, 102, 201?\n\"Answer: l**3 + 4*l**2 + 2*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 281, 243, 181, 89?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3990*j - 65 = 5*x - 3998*j, 5 = 2*x + 3*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 138.7884751 - 3.\nAnswer: 135.7884751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365.35 + 0.35. Let g = z + 364.99999. Round g to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 13. Let w(u) = -u**2 + 14*u - 9. Is 4 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 7:38 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 101290205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 5*v. Let d be u(-5). Solve d = -3*g - 0*g + x - 1, -5*g = x - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2483*u - 213534. Determine l(86).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8244*y**2. Let f(m) = -139*m**2. Give f(w(n)).\nAnswer: -9446931504*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2035)\/(-44))\/37)\/(18\/(-48))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 5*u. Let p be z(-5). Let v be p - ((-1)\/1 - 2). Let w = -11 + 15. Solve -c = w*j + 4 - 15, -3*c - v*j = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o + 139. Let x be v(-10). Suppose -h - 19 = -5*n, 0 = -4*h + 5*n - 16 - 0. Put h, -6, x in decreasing order.\nAnswer: h, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14162 + 77?\nAnswer: 141d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - w**2 + 5 - w**2 + 6*w. Let b = -3 - 1. Is y(b) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 15*f - 46. Let v be j(22). What is the highest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 + 38\/4. Suppose -1 = l - i. Suppose -3*r - 2*z + 36 = l, 4*r = 5*z + 59. Calculate the highest common divisor of r and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 16. Let v be i(-6). Let t be (v\/4)\/(2\/48). Let y = -41 - t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -598 + 204. Let n = i - -454. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 + 5*w**4\/12 - 7*w**3\/6 - 3*w. Calculate the remainder when (21 + 48\/8)\/((-3)\/((-6)\/2)) is divided by m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/100 + 2\/8. Suppose -2*z + 2*l + 20 = 0, 2*l - 5 = z + 4*l. Which is the third smallest value? (a) z (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -47. Let g = n - -14.4. Let f = 2.600225 + g. What is f rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -647, -648, -649?\n\"Answer: -j - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (43 - 33)*(-54804)\/10*(-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a82 (base 11) to base 15.\nAnswer: 3e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -39. Solve -3*x + 6 - g = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (26\/(-120))\/(-15*(-60)\/(-400)) and 8\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 5. Suppose 2*z = -0 + 4. Let v(y) = 2*y + 2. Let p(l) = z*u(l) + 5*v(l). Let w(g) = -22*g. Calculate w(p(b)).\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, -46, 0 in ascending order.\nAnswer: -46, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c + 3*w - 7, w - 4 = 0. Let h(f) = -8*f + 15. Let s(l) = -7*l + 12. Let g(i) = c*s(i) + 4*h(i). Let t(n) = 11*n. Determine t(g(k)).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, -5 in ascending order.\nAnswer: -68, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2590 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7024914 to the nearest integer?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/19521 and 105\/286?\nAnswer: 5583006","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.7578.\nAnswer: -1.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -774*b**2*j**2 - 268*b**2 + 6175*b*j**2 - 2*b + 9698 wrt j?\nAnswer: -1548*b**2*j + 12350*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5. Let d be (s - 0)\/(-1 + 0). Let u = 0.41 + 0.49. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -57?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 bigger than -55\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(187*d - 23*d**3 - 187*d)*(-7*d**2 + 6*d**2 + 2*d - 3 + 0).\nAnswer: 46*d**5 - 92*d**4 + 138*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206367 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402 divided by -2.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*f**2 + 0 + 0 + 6*f**2 as t*f + k*f**2 + x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Let c = o + -4. Suppose c = 3*u + z - 17, u + 3*z + 16 = 7*z. Solve -5*d + 8 + 17 = -5*q, d - u*q = 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p - s + 16, p - 2*s - 23 = 0. Suppose -4 = -p*g + 9*g. Let z(f) = f**2 - 6*f + 6. What is the remainder when g is divided by z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 55 = j. Let r be (-9 + 0)*176\/(-528). Suppose r*a = 2*z - 3, -12*z - 4*a = -j*z - 29. Solve z*i = 4*i + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c - 101. Let n be g(-6). Let r be (-7)\/((-14)\/(-8)) + 6*n. What is w in 0 + 0*w**r + 1\/5*w**3 + 0*w = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -23. Let k = -7.16 + -0.34. Let b = k + w. What is the smallest value in b, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n**2 + 23*n + 13. Is x(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18 + 20 - 123 - 3*y + 25 + 37. Let q be (8\/(-6))\/(52\/(-234)). Let j(v) = v + 8. Give q*n(d) + 17*j(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 521891 and 521886 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173 - 103 + 137)*(2*m - m + m)*(-2 - m + 2)*(3*m - 2*m - 3*m).\nAnswer: -556*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 9*f + 5*f**2)*(30 - 30 + 3*f + 2 - 2 - 2*f + (2*f - f + 0*f)*(-2 + 3 + 0)).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 + 245 = -140*g - 393 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1478*c**5 + 200805*c**4 - c**3 - 94*c**2 - 224236*c wrt c?\nAnswer: -88680*c**2 + 4819320*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132\/9*(-6)\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 731 - 1224*p + 428*p**2 + 288*p**2 - 153 - 72*p**3 + 2*p**4.\nAnswer: 2*(p - 17)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 - -2211?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9 + 8. Calculate the remainder when 48 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0 + 10. Let o(n) = 5*n**2 - 3 - 4*n**q + 3. Let w(z) = 3*z**2. What is o(w(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/21 - 4695248*z\/21 + 2755669222688\/21 = 0.\nAnswer: 1173812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + -30 + 20 + 32\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*d = 205*d - 30 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 + 5*r - 2. Let h(m) = 0*m - 31 + 2*m - 6*m + 3*m - 2*m. Let j = -1 + -11. Let o be h(j). Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 76*v**2 - 203*v - 59. Give f(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**6\/2 - 6*r**5\/5 - 8. Factor s(u).\nAnswer: 3*u**4*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8384349043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajwx when four letters picked without replacement from {j: 1, n: 1, a: 1, x: 1, w: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7641 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*p = p + 12, 0 = 2*a - 5*p - 24. Suppose -a = r + 3*s, 5*r + 11 = -2*s + 3. Is r at most 15\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1095, -2178, -3245, -4296, -5331, -6350?\nAnswer: -7353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640 - 895 + 7*z**2 - z**2.\nAnswer: 6*z**2 - 1535","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -44. Let c = m + 51. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -7162?\nAnswer: 7159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**3 + 0*q - 3*q**2 + 1\/60*q**6 + 0 - 1\/15*q**5 + 1\/12*q**4. Determine y, given that p(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21588279, -43176557, -64764835, -86353113, -107941391, -129529669?\nAnswer: -151117947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 5) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01448397 + 0.01446. What is x rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*z + 10, 0 = 1858*i - 1859*i + 4. Factor 2\/7*p**z - 78\/7 + 20\/7*p.\nAnswer: 2*(p - 3)*(p + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 15728 = -3*c + 12400, -18751 = -2*c + 3*g. What are the prime factors of c?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a (base 11) in base 4?\nAnswer: 12023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.87076um in kilometers?\nAnswer: 0.00000004187076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1))\/(-2) - 1. Suppose c + m = 3. Suppose b = -c*b + 28. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 316 + 16. Suppose -2*j + u + 185 = 47, j - m = -3*u. Let b = -469 - -487. What is the remainder when j is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(832) + 3 + 0)**2 + (sqrt(832) - (sqrt(832) + -2))**2*6 + (2 + sqrt(832) - sqrt(832))**2*1.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u + 3. Let p(h) = 9*h + 6. Let n be (3\/((-27)\/(-6)))\/((-7)\/(-21)). Suppose -28 = 2*a + 4*x, -5*a = -n*x + 7 + 3. Calculate a*p(f) + 7*r(f).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/4)\/(8\/(-320)). Let z = n - 66. Calculate the common denominator of -95\/22 and (-4)\/z*(-1020)\/18.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 12462, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/13, 12462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32878, 32881, 32884, 32887, 32890?\n\"Answer: 3*t + 32875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.57052 - 0.04948. Which is bigger: f or -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -4)\/(-1))\/1. Let d = 20 - s. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7532124 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 6*n + 50 - 11, 43 = 5*h - 4*n. Which is the biggest value? (a) 9 (b) -45\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 2 = -16*s. Let t(y) be the second derivative of -y**5\/20 - y**4\/12 - y. Let i be t(-1). Is s <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -120 from 220560.\nAnswer: 220680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 555.2 (b) -6\/229 (c) 0.3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 14 = -2*v - 0*k, -5*v = 3*k + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Suppose -g + 0 = 2*u. Let p(t) = -389*t**3 - t**2 - 3*t - 2. Is p(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**8\/12 + d**7\/105 + 49*d**5\/60 + d**3\/3 - 91*d**2. What is the third derivative of b(o) wrt o?\nAnswer: -1680*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4 and 20832205085.\nAnswer: 20832205086.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111498 by -111498.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 + (-1 - 1))\/2)\/2. Suppose 0 = 3*m - 4 - 23. Let a = m + -10. Is a < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000022120022 (base 3) in base 5?\nAnswer: 233203002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/2*(-80)\/28)\/(65\/(-130))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:02 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(300) + 1 + sqrt(300))*-3 + (sqrt(300) + 1)*-2 + sqrt(300)))**2.\nAnswer: 2800*sqrt(3) + 58900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 193, -1 in ascending order.\nAnswer: -5, -1, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 2. Let o be (-2)\/(-9)*(-3)\/2. Which is the closest to o? (a) 1\/4 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = o + 291 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1973 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -38, -97, -194, -323, -478, -653, -842?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 842, 3361, 7578, 13505, 21154, 30537, 41666, 54553?\nAnswer: 69210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35244 + 153237?\nAnswer: 115773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 993367152 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*n**2 + 101*h*n + 474*n**2 - n wrt n?\nAnswer: -4*h + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhwwhjiej. What is prob of sequence jhi?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Let i(l) = -l**2 + w*l - 5*l. Let t(y) = 7*y**2. Calculate i(t(h)).\nAnswer: -49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -6*r + 3*k + 2, 0 = 2*r - 5*k - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41984 + -0.42. Round l to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/28 - 177\/(-21). Suppose 2*w = -3*a - 14, -a - m + 2 = w. What are the prime factors of (-1 + -2 - -1)\/(a\/14)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1*(-51)\/27 - (-740)\/225?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*((-3745)\/(-428) + -10 + 1). Let w = 7 + -11. Which is the closest to -5? (a) y (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-2\/5)*i)\/(i\/((i\/i**5)\/i)))**(-44) assuming i is positive.\nAnswer: i**(572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7347318486 to the power of 1\/3, to the nearest integer?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.632? (a) -1\/178 (b) 0.67 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(475) + -1 + sqrt(475) - sqrt(475)) + 5*((sqrt(475) + -2)**2 + 2).\nAnswer: -105*sqrt(19) + 2402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d*q**3 + 7*d*q**2 - 113*d*q + 2*d - 8857*q**3 - q**2 + 1 wrt q?\nAnswer: -66*d - 53142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/13 - 634*n\/13 = 0.\nAnswer: 0, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) 444 (b) 1\/6 (c) -5\/36 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 106*t - 1662. Let q be k(120). Solve 80 = 22*a + q*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -2 + 6\/2. Let j be (1\/q)\/(16\/(-128)). Solve j = -2*x - l - l, -4*l = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90876 and 45?\nAnswer: 1363140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*n + 1, -12 = 6*n - 10*n. Let w(j) = 3*j**3 - 3*j**2 + 4*j - 2. Calculate w(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003384 rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3. Let w(f) = 103835 - 103835 + 4*f + f - 4*f. Calculate -2*s(d) + 4*w(d).\nAnswer: 4*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 3:59 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 + 0.3. Suppose 0 = -2*j + 3*s - 3, -j - s + 3*s - 4 = 0. Suppose -4*l = -c + 9, -j*l + 11 = -2*l + 3*c. Sort -4, l, v in descending order.\nAnswer: l, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 280. Suppose 0 = -5*d - 5*a - 105, 0 = -4*d + a - 43 - n. Let v = 43 - d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/9)\/r)\/(r*r**15))\/(r**(2\/3)\/r**(-15)))**(-26) assuming r is positive.\nAnswer: r**(7696\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**9\/15120 + d**7\/1680 - d**6\/720 - 15*d**5\/4 - d**3\/6 + 177*d**2. Let x(v) be the third derivative of u(v). Factor x(q).\nAnswer: -(q + 1)*(2*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4569*m**4 - 4*m**3 - 1383. Let d(n) = 9171*n**4 - 10*n**3 - 2765. Let s(w) = 5*c(w) - 2*d(w). What is the derivative of s(j) wrt j?\nAnswer: 18012*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*f + 375174, 35534 = f - 3*q - 152045. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*d + 19 - 5, 3*d - 2*o - 14 = 0. Let v = -8 + 12. Let r(s) = -2*s**2 + 4*s + 2*s - v*s + 2. Calculate r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.9 - -14. Let j = 4 - h. Let c = 7 + -12. What is the closest to j in -4, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -2, 0.2, 4, 2\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/7 (b) 12 (c) -3 (d) 0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -23. Let m(i) = c + 7 - 104*i + 103*i. What is m(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 25*i**2 - 20*i - 119. Does 44 divide h(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010111111110110101010 (base 2) in base 5?\nAnswer: 11410244441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31324 (base 5) to base 8.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -110313 (base 4) to base 9\nAnswer: -1743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(19) + 2 + 1 + 6*(-1 + sqrt(19))**2.\nAnswer: -11*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 296*x**2\/11 + 1022*x + 21316\/11.\nAnswer: 2*(x + 2)*(x + 73)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 7200003*(-3 + 4). Round w to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -22. Let s be 6\/21*1715\/98. Calculate the greatest common factor of w and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*r + 37374*c**2*r - 20*c**2 - 29553119*c*r + 2*r wrt c.\nAnswer: -24*c*r + 74748*r - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7318 - 7320. Let d(j) = -j**3 - 2*j**2 - j - 5. Determine d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152\/57*(-39)\/(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - c. Let f be i(-1). Let h = f - 1. Let r(y) = -y - 3*y - 1 + y + h. What is r(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -437049?\nAnswer: 1\/145683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-13)\/l*l*l\/(l*l\/((l\/(l\/((l*l**(4\/15)*l)\/l))*l*l)\/l)))**(-2\/5))**17 assuming l is positive.\nAnswer: l**(5984\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 22*c\/13 - 56\/13.\nAnswer: -2*(c - 7)*(c - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - 107*k**2 + 75*k - 80. Calculate j(35).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411453*n = 1411413*n - 1320 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 6*u + 3. Let t be j(6). Suppose -t*q + 7 = -2. Let c be 8\/(-28) + 396\/14. Solve -q*g + 5*k - c = -3, -4*g + 25 = 5*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -264\/1057 (b) 72 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/7, 4, -2060?\nAnswer: -2060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let d(z) = -z - 16. Let m be d(-9). Let j = 4.003 + -0.003. Which is the closest to u? (a) m (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*p - 114*p - 20826 = 192*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 903.77 - 896. Let w = -1.77 + r. What is the nearest to -1 in 0, w, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001354309 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 7*l + 2068. Suppose -5*u + 67 = -l. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -2\/3, -762?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.842, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54726\/(-12)*(-1248)\/(-182). Round g to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 58*k**2 - 59*k - 84. Calculate h(-57).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 5, r: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -36*n - 1875. Let t be x(-47). Which is bigger: -152 or t?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = -2*c - 60, -80 = -5*m - 2*c. Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8379 and 8379 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63 - -6d8?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 484434 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 470\/(-35) - 8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(1 - 1 - 4*q)*(225 + 223 - 116 + 171).\nAnswer: 2012*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(700)*4 + -5.\nAnswer: -40*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 68. Calculate r(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1201*o**4 - 3*o**3 + 38*o**2 + 8*o - 389*o**4 - 417*o**4 - 392*o**4 as n*o + x*o**2 + g*o**4 + v + c*o**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*c**2 - 28*c**2 - 60*c**2.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 477.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 684 - 687. Let t be (1 - 75\/10) + 5. What is the closest to 0.2 in t, -83, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {s: 1, n: 2, h: 3, i: 3, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {l: 7, x: 1, u: 2, h: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.210067 and -2.2.\nAnswer: -0.4621474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -16. Let z = d + -7. Suppose -2*y = 5*c - 817, 3*y + z*y + 160 = c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 2. Let h(j) = -3*j - 2. Let m = -3 + 1. Calculate the least common multiple of h(m) and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132500 to the nearest one thousand.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*p - 6 = 0, 3*p - 21 = 4*a - 10. Let x(i) = 17*i - 2. Determine x(a).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (1 + 0)) + (-4088 - -4094)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1838*z**5 - 9596*z.\nAnswer: -36760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 14*q - 232. Let p(v) = -2*v**2 - 22*v + 348. Give -8*d(n) - 5*p(n).\nAnswer: 2*n**2 - 2*n + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 - -136. List the prime factors of f\/(-24) - (-3)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133073 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53.86216 kilograms?\nAnswer: 53862160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1813*j*r**3 + 450*r**3 wrt j?\nAnswer: -1813*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2425413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101\/404*(-3)\/((-6)\/104)*-2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + 6*a + 16*a - 4*a + 2*a + 3*a + (-5 + 3 + 4)*(-1 + 1 + a).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7408 = 133*w - 2915 + 1013 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ersrosrooossssoeoer. Give prob of picking 1 r and 1 e.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 17*t - 122*t - 121*t.\nAnswer: t**3 - 260*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (98471810\/4536)\/31 - (-2)\/(-7). Let m = g + -700. Calculate the common denominator of m and 79\/16.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117 + 5 - (-4)\/(-4). Let a = -94 + l. Calculate the highest common factor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 3*l + 2*z - 6, 3*l - 9 = 3*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.8 + -11. Let q = i + 0.2. Let h = 3 + 1. Which is the nearest to q? (a) h (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*16\/(-56)*-2*(104\/32)\/13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*c + 3*r, -c + 11 = 662*r - 660*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 - 5. Let i = 31 + -24. Let a(h) = -h**3 - 7*h**2 + 7. What is i*f(r) + 5*a(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2006622 + 451?\nAnswer: -2006151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2)*(-5)\/2. Let x = -733\/3 + 249. Is k smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r + 23569 - 22329 = 0 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 29139508*m**2 - 53069447474880*m - 53069418335376.\nAnswer: -4*(m + 1)*(m + 3642438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97896 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*n**3 - 3*n**2 + 6138*n - 64351796.\nAnswer: -78*n**2 - 6*n + 6138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/7 (b) -3 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -548, 6, 2\/3, -169?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300189427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - u + (5*u + 4*u - 17*u)*(1 - 1 + 7) + (0 + 0 + 1)*(0 + 0 + u) + u + 1 - 1)*(3*u - 3*u - 6*u**2).\nAnswer: 330*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5286606, 5286583, 5286546, 5286489, 5286406, 5286291?\nAnswer: 5286138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*s = 110*s + 210. Let m be 6\/s - 78\/182. Sort m, -3, 4 in decreasing order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + -1 + -1 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 15*c + 12. Suppose -10 = 5*u + 15. Let p(x) = 11*x**2 + 29*x + 23. Let s(h) = u*i(h) + 3*p(h). Determine t, given that s(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 1. Let q(j) = 2*j**4 + 3*j**2 - 4. Let l(o) = 3*k(o) + q(o). Differentiate l(t) wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-35)\/14)\/((-2)\/(-4)). Let v(w) = -w**2 - w + 1. Let y(l) = 3*l**2 + 5*l - 5. Determine h*v(z) - y(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3*p - p - 5.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/(-192))\/(294\/(-3402)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 - (-920)\/14. Calculate the greatest common divisor of f and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:08 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**3 - b**2 - 5*b - 5. Let v be (-5 - (-2)\/(-2 + 4)) + 34. Suppose 18 = -3*w - v. Let d(f) = -22*f**3 + 4*f**2 + 16*f + 16. Give w*y(g) - 5*d(g).\nAnswer: -2*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a - 79. Give r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -3, -8, -997 in decreasing order.\nAnswer: -3, -8, -130, -997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446387.63595 + 2.\nAnswer: -446385.63595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31121230000 (base 4) to base 9\nAnswer: -6544041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 75.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -676046 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let a(j) = j**3 - 72*j**2 + 1265*j + 856. Let v be a(39). What is the third smallest value in 0.2, r, v, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 7124.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -70*d**3 + d**2 - d - 1. Let w be h(-1). Let i = w - 16. Suppose -2*b = -3*a - 6*b + i, -3*b - 27 = -a. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105 - 2*j + j + 4*j - 5*j + 216 to c*j + n and give n.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (423911 + -12)\/7 + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 3, 11, 5 in decreasing order.\nAnswer: 11, 5, 3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 68 = -8*t, -9*j - 48*t + 48 = -5*j - 52*t for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*v + 5, l + 5*v - v - 5 = 0. Solve 8 + 12 = -l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -89\/6*p**3 + 0 + 53*p + 0*p**5 - 11\/4*p**4 + 0*p**2 - 1\/10*p**6. Find the second derivative of j(q) wrt q.\nAnswer: -36*q**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/10*(-4)\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.74 - 0.46. Let u = w - 1.8. Let o = 5 + u. Which is smaller: -0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*w + 11*w + 236*w)*(0 + 1 - 3*w - 2) - 4*w**2 + w**2 + w**2 to the form r + x*w**2 + z*w and give z.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8049 - 61482 = -43*t. What is the greatest common factor of 1470 and t?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 = 5*s, -2*s + 6 = 2*b - 10. Is 7 a factor of 2\/8 - (-105)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 + 328962*m - 11513817\/5.\nAnswer: 3*(m - 7)*(m + 548277)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 1728?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 8*h**2 - 5. Let k be s(-5). Let n(w) = w**2 - 3*w**2 - 1 + 8*w + w**2. Let r be n(5). What is the highest common factor of k and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4550, 4492, 4402, 4280, 4126, 3940?\n\"Answer: -16*j**2 - 10*j + 4576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2276 = 4*d, -d - 39*z + 575 = -37*z. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 less than 10781?\nAnswer: 10835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 1. Let u(q) = -q**2 - 8*q - 7. Suppose -2*m = -4*m - 12. Let t be u(m). Suppose -4*b - h - 22 = 0, 5*h = -t*b + 1 - 36. Determine d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(121\/33).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080*a**3 + 2*a**2 - 2*a**2 + 570*a**3 + 544*a**3.\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464 > 3464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 160 = 15*k. Let y = k + 81. Let i = 3 - -11. Sort 4, i, y, -3 in ascending order.\nAnswer: -3, y, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 8, 1, 5.\nAnswer: -4, -2, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5510 = -625*c + 915*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -4, -73.8, -6, 229 in descending order.\nAnswer: 229, 0.1, -2, -4, -6, -73.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789321.\nAnswer: 3, 13, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -93666790 to the nearest 100000.\nAnswer: -93700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 2. Suppose o + 2*o - 33 = 0. Suppose -99 = 5*t + o. Let a = t - -27. Let i(z) = 7*z + 3. What is a*p(y) - 4*i(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - -5.01. What is the second smallest value in 0.4, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 82, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4835 is divided by 173.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139688640 divided by -212940.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 8*g + 14. Let y be q(3). Sort 2, 12, y, -3 in descending order.\nAnswer: 12, 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06415 - 3.\nAnswer: -3.06415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -201 and -0.37?\nAnswer: 200.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 322750 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*q**2 - 10 + 4*q - 3*q as f*q**2 + a*q + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*l - 2*l - 23, 2 = -l. Suppose 3*j + a = 49, -a - n = 2*a. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -843 - -858. Let m(t) be the first derivative of 2*t + 0*t**3 - z + 1\/4*t**4 + 0*t**2. Let n(r) = r - 1. Calculate -m(j) - 2*n(j).\nAnswer: -j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, -1, 13, 5, -5, -136 in increasing order.\nAnswer: -136, -5, -1, 0, 5, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -400, -653, -1074, -1663, -2420, -3345?\n\"Answer: -84*n**2 - n - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -19839?\nAnswer: 19838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -37185.529 and 4\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-81*a**2 - 1301*a + 1301*a).\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9*d + 8. Suppose -4*o - 13 - 15 = 0. Let w be b(o). Let h be (-1932)\/(-8) + (-3)\/(-48)*8. Calculate the greatest common factor of w and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4512?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 + 2*d**2 + 4516 - 19*d**2 - 3*d**2 + 27*d**2 to f*d**2 + i + a*d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 7148 - 8*y**2 + 3*y**4 + 7145 - 14288 + 7*y**4 as r*y**3 + x*y + i*y**4 + n + m*y**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*-2*sqrt(121))\/sqrt(11) + (sqrt(110) + (sqrt(110) - -1*sqrt(110) - sqrt(110)))\/sqrt(10) + 3)*3 + 3)**2.\nAnswer: 720*sqrt(11) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -49. Let n(w) = 2*w**3 + 17*w**2 - 2*w - 7. Let m(b) = 3*b**3 + 25*b**2 - 3*b - 11. Let k(x) = y*n(x) + 5*m(x). Is k(-4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 165 - 23 = 4*q, -122 = -4*q + 5*h. Let v be 6\/(-3) - (-8 - -1). Solve 2*o = v*l - q, 0 = 5*l - o - 0*o - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 2\/5*c**6 + 22\/3*c**3 + 5\/12*c**4 - 20 + 0*c**2 + 0*c**5 + 2*c. What is the second derivative of a(s) wrt s?\nAnswer: 144*s**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let s = 78 - 89. Let q be (-16)\/(-88) + (-42)\/s. Let z(v) be the second derivative of v**3\/3 + 2*v**2 - v. Calculate q*t(w) + z(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -290, -998, -2374, -4640, -8018, -12730?\n\"Answer: -37*i**3 - i**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*q + 4*q - 306 = 0, 0 = 2*z - 3*q - 298. Let p = z - 150. Put p, 0, -1 in descending order.\nAnswer: p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (212\/(-265))\/((-6)\/2385) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-134 + (92 - 67))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33883.8 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-82)\/3 - 1)*3. Let t be 1 - ((-2)\/w - -1). Let f = -32\/85 + t. Which is the smallest value? (a) -3 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 6*k**2 + 9*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.52 - -16.558. Let p = d - 0.038. Let q = -22.5 - p. Put 3, q, -5\/2, -1 in descending order.\nAnswer: 3, q, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)\/(6\/(-12)). Suppose -5*r + 4*a = -12, -c*r - 4*a = -3*r + 12. Suppose 4*s - 7*o - 89 = -2*o, r = -4*s + 2*o + 98. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjyjjjjj. Give prob of picking 2 j.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 66 (b) -2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 122, 116, 108, 98, 86?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 38 + 4. Let w be (-4)\/y + (-21)\/9 + 2. Is w bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232792 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 781 - 409 = 0. What is the tens digit of (-3)\/(-12) + m\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -68\/5, -31\/853 in increasing order.\nAnswer: -68\/5, -31\/853, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -9 - 0. Suppose x*j - 18 = -3*j. Suppose -j*v = 5*y - 68, -2*y + 0*y + 145 = 5*v. Calculate the remainder when 122 is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/(-4))\/((-153)\/(-204)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-2 - 0)*2. Solve 2*u = -3*s + 4, q = -u - 0*s - s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15798892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 93. Suppose 4*q + 5*u + 226 = q, i*q + 4*u = -230. What is the units digit of q\/(-2)*(-8)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 52341045?\nAnswer: -52341043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 10:37 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*r**3 - 157975*r**2 - 158327597*r wrt r?\nAnswer: -2052*r - 315950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150677 + 3465034\/23. Are k and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -397 (b) -82 (c) -1\/5 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (3 + (-2 - 1) - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -36*c. Let i(u) = -37*u. Let d(k) = 3*i(k) - 2*s(k). Let w(b) = -2*b. Give d(w(m)).\nAnswer: 78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 3*y**2 - 2*y - 3. Let o be g(-3). Let m be (9\/(-6))\/((-9)\/o). Let t(a) = a**3 + 5*a**2 + 2*a - 2. Let x be t(m). Is 6 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + (76 - 70)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341721 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13567*j**2 - 11*j + 11. Let s be w(13). Let t = s + 742955. What is t rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1713, 1712, 1711?\n\"Answer: -k + 1714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 217*r - 5\/2*r**2 + 0 + 1\/3*r**3. Let z = 0 + 4. Calculate v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 273?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**7)**(2\/13) assuming r is positive.\nAnswer: r**(-42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43733057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1449\/8 - 12697\/72. Let q = 374425\/36 + -10398. Calculate the common denominator of j and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 46106*w + 46106*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -236\/9 + 26. Suppose 8*z + 15 = -21*z + 24*z. Which is the fourth biggest value? (a) 0.2 (b) -0.01 (c) z (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27569 is divided by 27560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 3, 27 in decreasing order.\nAnswer: 27, 14, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 168\/(-66))\/((-1)\/22*-3). Solve -126 = 25*a - n*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-77)\/(-21) - 1\/(-3). Let q(r) = r**3 - 6*r**2 + 4*r - 2. Let j(f) = -3*f**3 + 17*f**2 - 11*f + 6. Give u*j(c) + 11*q(c).\nAnswer: -c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3 + 5*q + 0 + 2 in the form y*q + n and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-11 - -3) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28899164?\nAnswer: 2, 7, 281, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 1318744*z\/5 - 217385717192\/5.\nAnswer: -2*(z + 329686)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297029 divided by 297029.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y + 6 = -3*s, -s + 5*y - 22 = 0. Suppose -s*u - 5*v + 685 = 0, 5*u - 55 = 4*v + 1099. Is u a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 5*i + 4. Suppose -3*b = 4*x - 27, -5*b + 5*x = 7 - 17. Calculate s(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*q - 1736 = 7*q, b + 4*q - 868 = 0. Suppose -4*y - 344 + b = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4*(-9)\/(-6))\/(7482\/(-86)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369.702639 + -369.7. What is k rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11924 <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 5 - (1 - 5 - -2 - -25)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-35 + (-93 - -81)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - 6489 - 67686 = 0. Which is bigger: s or -3224?\nAnswer: -3224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:45 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -65, 1, -0.3, 26 in increasing order.\nAnswer: -65, -4, -0.3, 0, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**3\/3 - l**2 + l + 3. Let b be n(2). Solve b + 3 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 6*j + 23. Let q be d(-7). Solve -14*g = -q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 + 342 + 7*y**2 + 285 - 55 - 70 as j*y + m*y**2 + v and give v.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 35. Suppose -3*z + 2*d + 12 = 0, 2*z - d - 13 = -3*z. Solve 2*n = h + 10, 5*n + 0*h - x = -z*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*s + 10 = 0, 11*s = 7*s - 8. Suppose 4*w + 6 = -g - 1, -m*g - 5*w + 5 = 0. Solve -g = 5*x + 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 285994839 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 757 + -760. Put 0, 2, -2, d in ascending order.\nAnswer: d, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -y + 2*y + 5, -3*y = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1675074 and 8375370.\nAnswer: 8375370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 110*d**2 + 2. Let a(w) = 81*w. Determine a(p(y)).\nAnswer: 8910*y**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -43*r**2\/2 - r + 27. Suppose 0 = 4*t + 21 + 3. Is z(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, s: 2, o: 1, y: 1, m: 1, b: 1}. What is prob of sequence sso?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3105)\/(-50))\/(-23))\/(39\/(-65)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4615317 (base 8) to base 4.\nAnswer: -10301223033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/14 + (-4)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1203 (base 4) to base 14\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329471262 is divided by 365.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4468, 4473, 4480, 4489?\nAnswer: 4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 u when four letters picked without replacement from {x: 3, u: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 5, -8371 in increasing order.\nAnswer: -8371, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/((-23)\/(2691\/(-546))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 313*t**3 - t - 179*t**3 - 130*t**3 - 5 + 6*t**2. Let u(z) = 5*z**3 + 7*z**2 - z - 6. Give -7*o(l) + 6*u(l).\nAnswer: 2*l**3 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -473*k**2 - 264406*k + 553. Determine r(-559).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k*k**(2\/7)))))**(-3\/19)*(k\/k**(1\/4)*k)\/k*k*k*k**(-10)*k)**18 assuming k is positive.\nAnswer: k**(-29709\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 299121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1924 divided by 481\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by (-12)\/(-78) - (-501)\/39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.2 (b) -2\/7 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - s = 6, -5*v + 4*s - 6*s = -16. Solve v*g - 20 = -3*z, g + 5*z - 9 - 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/39 - 20\/130. What is the thousands digit of (-811483)\/(-549) - x\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -8818.25, 0.3, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adbp when four letters picked without replacement from {b: 4, p: 1, a: 1, l: 1, d: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c + 1 + 0 - 2 + 2 as i*c + n and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 1\/4 (c) 0.123 (d) -0.2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6944080*c**4 + 253*c**2 + 26260*c wrt c?\nAnswer: 166657920*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915 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: Let l(u) = 341*u + 374. Let k(s) = 11*s + 12. Let m(x) = 187*k(x) - 6*l(x). Let h(z) = 6*z - 1 + 1 - 4*z. Give m(h(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*r**3 - 4*m*r**3 + 94823*m*r - 740276*r**3 wrt m.\nAnswer: 4*m*r**3 - 4*r**3 + 94823*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 167417 = -5*g + 30416, -3*y = -g + 39571. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -241. Suppose 4*p = 5*w + 27797, 4*p + 6*w - 27824 = k*w. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -231*i**3 + 88*i**2 + 88*i - 88. Let w(z) = -1 + 0*z + 3*z**2 + 3*z + 714*z**3 - 722*z**3 - 2. Determine 3*d(c) - 88*w(c).\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7\/2)\/(p**16\/p))\/(p**(-1\/9)*(p*p**(2\/11)\/p)\/p*p*p) assuming p is positive.\nAnswer: p**(-3875\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 4. Let a = -1 - 0. Let q be 0\/(-4)*a\/(-1). Sort -4, q, z in increasing order.\nAnswer: -4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 20*p - 3*p - 9*p - 5. Suppose a = -2*t + 1, 10 = -4*t - t - 5*a. List the prime factors of c(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 9923724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 2. Let i be u(0). Which is the fourth smallest value? (a) 1 (b) -4 (c) i (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:16 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26635 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than 151249?\nAnswer: 151231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 32*h - 10. Let x be -4 - (2\/10 - (-82)\/(-10)). What are the prime factors of r(x)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4172483 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101011 + 10011111101?\nAnswer: 1010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:33 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4514 - -44.\nAnswer: 45.4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -296*j**2 - j**3 + 688072*j - 688072*j + (-2*j + 2*j + 3*j)*(-5*j**2 + 3*j**2 + 4*j**2).\nAnswer: 5*j**3 - 296*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(2 + 0 + 0)*(-57*f - 44 - 42 - 76 + 26) to l + b*f and give l.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 19814225.65 to the nearest 1000.\nAnswer: 19814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 1185059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10599 - -265026\/25. What is the common denominator of p and -12\/55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20\/9, -4\/9, 2, 11\/127, -0.5?\nAnswer: 11\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112610*c**2 + 112634*c**2 - 225272*c**2.\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9106*f*o**3 - 53*f*o**2 - 4*f - 22*o**2 - 1 wrt o?\nAnswer: -54636*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c**3 + 835*c**2 + 193*c + 35252. Determine w(-93).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.14 (c) -4\/11 (d) -2\/19 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 3, g: 13}. Give prob of picking 1 z, 1 u, and 2 g.\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 27. Suppose -4*w + l + 185 = 0, -5*w - l + y*l + 234 = 0. Calculate the common denominator of -65\/22 and w\/(-8)*(-5)\/20.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 245?\nAnswer: -3\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 1. Let a be x(-1). Let h(m) = -2*m**2 - 13*m + 61. Let j(p) = p**2 + 14*p - 62. Let y(u) = a*j(u) - 2*h(u). Factor y(f).\nAnswer: (f - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89, -128, -191, -278, -389?\n\"Answer: -12*k**2 - 3*k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) 1\/45 (c) -178 (d) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4260*p = 4262*p. Solve 5*w + p = 2*r + 2, -r - 1 = 5*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.58 * 0.3.\nAnswer: 3.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/9 + (-4)\/6. Let g = n + -5. Suppose 4*a = 4, -4*s + 4*a + 6 + 2 = g. Solve -3*i + 8*i = 0, 12 = s*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -76767, -153532, -230287, -307026, -383743, -460432, -537087?\n\"Answer: z**3 - z**2 - 76769*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4356.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/9 + 506*z\/9 + 2152\/9.\nAnswer: -2*(z + 4)*(4*z - 269)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -29. Let k = i - -20. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -0.604727.\nAnswer: -0.02418908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 10 - 4802*f**3 + 4801*f**3 - 12*f**2 - 9*f. Calculate k(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - q**4 - 3*q**4)*(0*q + 3*q - 2*q + (-2*q + 7*q - 2*q)*(-1 + 2 + 0)).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-10 - -36 - 41) - -36?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 29*a + 1. Let m be p(-2). Let u = 81 + m. Suppose 154 = 2*b + u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3049 - 0.0951. What is the nearest to -0.1 in 1\/7, -1\/5, -1\/2, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03442373 less than -62915?\nAnswer: -62914.96557627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2894560 and -2894639 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1477.095 * -2.53\nAnswer: 3737.05035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 38. What is the closest to 0.1 in -1\/6, s, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**9\/9720 + a**8\/6048 - a**7\/5670 + a**4\/24 + 3*a**2. Let v(l) be the second derivative of g(l). Factor v(i).\nAnswer: 2*i**2*(i + 1)*(7*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 404*f + 5463. Let s be x(14). Suppose 52\/5*j**s + 2\/5*j**5 - 54\/5*j + 18\/5*j**4 + 36\/5*j**2 - 54\/5 = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 0.02, -148, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.02, -3, -8, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.7, -3\/5, 3\/4, 2\/189507, -1\/3, -0.3?\nAnswer: 2\/189507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*j = 57*j + 3135. Let f = 980 - j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -60194 and -0.1?\nAnswer: 60193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 5*b - 3*b)*(5*b - 2*b - 5*b) + 3*b**2 - 6*b**2 - 2*b**2 + 476*b**2 - 1436*b + 1436*b.\nAnswer: 467*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(81)*-5)\/(sqrt(900)\/sqrt(12))*6.\nAnswer: -18*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xai when three letters picked without replacement from {v: 9, x: 1, a: 1, i: 4, s: 3}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 1 + 1)*28\/12. Suppose 9*n - t*n = -1370. List the prime factors of n.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/114399297 and 86\/225.\nAnswer: 2859982425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let u be 8\/6 - 2\/(-3). Suppose -4*b - 4 = u*x - t*b, -2*x = -2*b - 12. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 278 and -1432.\nAnswer: -398096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*q - 1 = 0, -3*u - 2*u + 1 = 3*q. Let g be u\/(2\/(-187)) - 9\/(-6). What is the greatest common factor of g and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 b, and 1 y when four letters picked without replacement from {q: 5, b: 5, y: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57161 - 57158. Let 0 - 1\/6*v**2 + 1\/6*v**f - 2*v = 0. Calculate v.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - 4, 2*f - 62 = 5*i. Let s = 19 + -38. Let h = i - s. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 743294 and 80696.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 397 - 190. Suppose 4*w - 189 = u. Let s be 2\/(-6)*11\/(-2)*6. What is the greatest common factor of w and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 45 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202121102 + -10?\nAnswer: 202121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5327.8 * -0.3.\nAnswer: -1598.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + 95. Let d(k) = k**3 + 5*k**2 + 443*k + 3220. Let i be d(-7). What is the highest common factor of r and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6589530?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:21 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1249, -2402, -3455, -4402, -5237, -5954?\nAnswer: -6547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20 = -3*d, 2*j - 5 = 3. Suppose -664 = -4*z - d*z. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5689*t**2. Let a(j) = -j. What is a(n(i))?\nAnswer: 5689*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 4*d**2 - 22*d + 62. Let a be q(6). Solve -b + 5*n + 17 = -4, 5*n + 18 = -a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 + -2) - -1. Let b be (-7 + u)\/(-4 + 2). Let j(r) = 22*r**2 + 4*r - 16. Let a(x) = 7*x**2 + x - 5. Let g(l) = 16*a(l) - 5*j(l). Calculate g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32548873 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 48137.\nAnswer: 433233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25655631 (base 8) in base 10?\nAnswer: -5725081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*q + 32, 4*q - 50 = -5*o. Let x be ((-14)\/o - -1)\/1. Let h be ((-8)\/20)\/((-18)\/15). Which is the second biggest value? (a) 5 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 4 - 8)*(0*j + 2*j - j)*(4 - 4 + j)*(-18 - 14 - 7) - 5*j**2 - 3*j**2 + 0*j**2 as q + v*j + f*j**2 and give f.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27862, 27091, 26320?\nAnswer: 25549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21180 = 11*l + 4*l. Let p = 2168 + l. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 23*y - 21*y - 2*x, -3*y + 6*x = -75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11055973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*f + 16 = 0, 4*f + 6 = 4*p + 5*f. Let -4\/3 + 2\/3*h**p + 2\/3*h = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53637 is divided by 17286.\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 divided by 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 - 5*c - 9. Let o be n(4). Solve 5*z = -y + 9, 4*y = 5*z + 5 - o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14864\/33 - -1352\/3. Let s = 122\/231 - x. Factor -4\/7 + 2\/7*p + s*p**2.\nAnswer: 2*(p - 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17715 + -17718. Which is the nearest to s? (a) -0.3 (b) -5 (c) -0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/(g**5\/g*g))\/(g**(-1)*g)**(-1\/14)*(g**(-2)*g*g**(-1\/5)\/g)**(-16) assuming g is positive.\nAnswer: g**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 6 = 0, 4*y - 2*q = 3*y + 713. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/sqrt(4)*-2 - (4 + sqrt(2) + (sqrt(22)*-2)\/sqrt(11)).\nAnswer: -7*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 28 = -4*b, 17*t - 3*b - 9 = 24*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-7954)\/22 - 1\/(22\/12). Is -1.1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -2*u. Suppose g + b - 4*b = 0, u*b = g - 4. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, q: 2}. What is prob of sequence qqee?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 45*p - 43*p. Sort 55, -4, -5, p in ascending order.\nAnswer: -5, -4, p, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 28*a + 195. Let t be x(-16). Suppose 0 = -v - 3*v. Solve v*o + t*o + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 0)*(-4 - 4 + 6)*(0*j + 2*j - j) + (6*j + j - 5*j)*(-4 - 17 + 6) + 4*j - 6*j + 0*j in the form b + h*j and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let o be -2 - 8\/(0 - 2). Let m(z) = -z - o*z + z + 0*z. Calculate m(k(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 46457, 109728, 172999, 236270, 299541, 362812?\n\"Answer: 63271*k - 16814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*s**5 - 36\/5*s**3 - 9\/5*s + 0 - 18\/5*s**4 - 6*s**2.\nAnswer: -3*s*(s + 1)**3*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {t: 1, v: 2, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/((-315)\/21) + 3*(2 - 1). Let t(o) = 654*o. Let p be t(2). Factor 44 - 30*q - p*q**2 - 4 + 1313*q**s.\nAnswer: 5*(q - 4)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -147365 + 147365 - 45*b + 228*b**4 + (0 - 2 + 0)*(0*b**4 - 2*b**4 + 3*b**4) in the form l*b**2 + t*b**4 + d*b + i + x*b**3 and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -123, 4 in descending order.\nAnswer: 4, 2, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 2*d - 4*l + 2*l, 0 = -3*d + 4*l + 327. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3551072\/11454 + 6\/(-207). Let k = 12 - 5. Suppose 0 = k*u - 2067 + j. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5471 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 8. Suppose -60 = u - x*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -304276411, -304276410, -304276409, -304276408?\n\"Answer: p - 304276412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106.5522141985 + -1.5522132085. Let h = -2.52 + -102.48. Let m = h + b. Round m to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.3. Let i = -362.98 - -363. What is the biggest value in y, -0.4, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3398.073t?\nAnswer: 3398073000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 10*c**2 + c - 17. Calculate m(9).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5381 + -3590. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2007889*o**3\/2 + 849342715*o**2\/2 - 1198784*o + 846.\nAnswer: -(o - 423)*(1417*o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.49, 2\/7, 8, 1\/8, -5 in ascending order.\nAnswer: -5, 1\/8, 2\/7, 0.49, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 100 = 4*g - 0*m, -5*m = 25. Suppose 4*q - 8 = 0, -2*p - 4*q = -2*q - g. What is the smallest common multiple of -1*(-28)\/6*3 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/5)*d**(-1)*(d**17)**(-2\/91))**(-5\/3) assuming d is positive.\nAnswer: d**(87\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -249, 1.3.\nAnswer: -249, -10, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 5. What is the closest to -2\/5 in -9, -3\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.181595 + 1.181907. Let l = -22 - -62. Let k = l + p. What is k rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -4*h + 14, 12 = 5*h - 4*f. Sort 0, 19, h in descending order.\nAnswer: 19, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7625 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -6\/11, 1\/2, 45?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4)*(-1314)\/12483?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -675706?\nAnswer: 675710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**18*j*j\/(j*j\/j**(2\/7)))\/(j\/(j*j**(2\/3))*j)**(2\/13) assuming j is positive.\nAnswer: j**(5251\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuujueej. What is prob of sequence ue?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27664, -55356, -83048, -110740, -138432, -166124?\n\"Answer: -27692*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 3, j: 1, q: 4, p: 4, w: 1}. Give prob of picking 2 y and 1 u.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 34*n**3 - 3*n**2 - 4*n - 2. Determine u(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1419*g**2 + 1417*g**2 - 13*g - 12*g - 11. Let h be b(-12). Which is smaller: h or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -435456 divided by -432\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 1.06. Let j = 1.24 - a. Round j to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*z + 19 + 1, 2*z + 4*c - 4 = 0. Suppose -4*f + 32 = -2*w, -2 = -f + z*w + 13. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 7. Suppose -11*w + v*w + 9 = 0. Suppose -w*y + y = -6. Is 22\/5 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*i = -2 - 12, 0 = 3*i - 3. Let o be ((-2)\/(-6))\/(w\/(-27))*14. Let h = 65 + o. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:18 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -a7?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284470 is divided by 147?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.652 - 0.248. Let a = b - -17.726. Round a to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2765*p**2 + p**3 + 3031*p**2 - 4 - 2 + 6 to x*p**3 + s*p + v*p**2 + h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2602800 and 115\/36?\nAnswer: 2602800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 3, r: 1, f: 1, m: 1}. Give prob of sequence frem.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -1, -111700?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2 - 1 - 2. Suppose 2*w + 11*g = 16*g + 22, 2*w + 18 = -5*g. Let n(a) = 3*a + 4. Let z(h) = w*n(h) - 3*u(h). What is the derivative of z(x) wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 20.8. Which is the third biggest value? (a) d (b) 3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -133 in decreasing order.\nAnswer: -1, -16, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1186574 and 35\/6292108.\nAnswer: 685839772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**4*q*y - 15*g**2*q**3 - 2*g**2*y + g*q**3*y - g*q*y + 30*y wrt g?\nAnswer: -48*g**2*q*y - 30*q**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*w**2 - 2*w - 20*w**2 + 3 - 18*w**2)*(0 + 0 - w).\nAnswer: w**3 + 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 8*y**2 - 8*y - 5. Let x be u(-9). Let v = 20 + x. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 4, 27, 58, 97, 144, 199?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1166*f + 9382. Let t be j(8). Calculate the greatest common factor of 3033 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -38*o + 154. Let r be n(4). Put 3, -4\/5, 12, r in ascending order.\nAnswer: -4\/5, r, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/330)\/(4\/(-132))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037809121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**4 - 2*g**3 - 5*g**2 - 6. Let b(y) = 2*y**3 - y**3 - y**3 + y**2 + 1 + y**4. Let p(a) = -6*b(a) - f(a). What is s in p(s) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 47140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -840 - -839.8. Sort -1, -0.5, -0.3, -48, z.\nAnswer: -48, -1, -0.5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*n + 84*n + 60*n - 161*n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 1167490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3328)*-1 - sqrt(3328))\/(sqrt(12)\/sqrt(3)*-4)*-1.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 111*z**5\/20 + 3*z**4\/4 - 11*z**2\/2 + 6*z - 1. Find the third derivative of f(u) wrt u.\nAnswer: 666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f - 20 = 0. Suppose 2766 = f*s + 386. What is the greatest common factor of s and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y**(1\/5)*y)\/y*y**1*(y**2)**(-2\/59) assuming y is positive.\nAnswer: y**(629\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*c - 95*g + 99*g, 5*c = 5*g + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 - 0.1. Let d = -1 - j. Which is the smallest value? (a) 2\/9 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -203384?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/2753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -166716, -166717, -166718, -166719?\n\"Answer: -g - 166715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8321 - -0.5.\nAnswer: -8320.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2 + 18. Let n be (m + 22\/4)\/((-6)\/(-20)). Solve -o - 3*o - t = -4, -n*o = -3*t - 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/18898 and 13\/24200.\nAnswer: 20787800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = -3*y + 2, -5*g = -4*y + 10. Let b be g\/(-3) + (13 - 1). What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2578839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 112*j = -107*j - 173685015, -2*y + 69473988 = -4*j. Round y to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-20)*234\/14 and 85\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(-1)*1458\/243?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 17*o**2 - 40*o - 88. What is the thousands digit of u(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -1)*(-6)\/6. Let a be 1 + 0*y\/16. Let z(t) = -1. Let q(o) = -7 + 2*o + 4*o - 7*o. Calculate a*q(s) - 5*z(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 5*p**2 - 5*p + 11. Let j be 804\/156 + 4\/(-26). Let l be o(j). Let u(f) = 4*f**2 + 39*f + 9. What is the hundreds digit of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170)*2 + sqrt(170))*-3) + (-3*sqrt(170)*-1 - sqrt(170)))\/(sqrt(160)*2 + sqrt(120)\/sqrt(3)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k - 2*v - 2 = 0, 4*v = k + 10. Let m be 51\/(-105) + k\/(-7). Let x be (2\/(-8))\/(3\/2). Which is the third smallest value? (a) m (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -931, -5, 1070, 5 in decreasing order.\nAnswer: 1070, 5, 0, -5, -931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17377182 divided by -5792394?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70023496 divided by -652.\nAnswer: -107398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5635354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(21)\/sqrt(3) - sqrt(7)) + -5 + 4)**2 - (1 + -3 + ((1*sqrt(112) + sqrt(112) + sqrt(112) + sqrt(112))**2 - sqrt(112)) + 0).\nAnswer: -1835 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/10 + 5131*d**3\/10 - 89364*d**2\/5 + 938272*d\/5 - 3098368\/5 = 0.\nAnswer: 8, 19, 5096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*h + 23 = 0, 7*l + 14 = 9*l + 2*h. Solve 0*v + 2*r + 20 = -l*v, 0 = r + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 24. What is the remainder when (((-105)\/(-6))\/5)\/(1\/10) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.74815 - 278\nAnswer: -279.74815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*z. Let w = z + -6. Let r = -0.255 - -0.355. Which is the third smallest value? (a) r (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748497.6 meters to kilometers.\nAnswer: 748.4976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0 + 0)*(3 - 3 - b**3) + 0*b**4 - 4*b**4 + 0*b**4 + 2 - 2 + 3*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 63*v - 24. What is y(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2391, 9652, 21783, 38784, 60655?\nAnswer: 87396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115365 and 0.8?\nAnswer: 92292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*h - 1935, o - 3*h - 387 = -h. Let g(c) = 557*c + 6723. Calculate the remainder when o is divided by g(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10059 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/11 and 73\/1917?\nAnswer: 21087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 648*m**4 + 1099*m**3 + 554*m**2 + 112*m + 8. Let j(g) = g**3. Let y(t) = f(t) - j(t). What is v in y(v) = 0?\nAnswer: -1, -1\/4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d + 5. Let j(s) = -s - 1. Let o(f) = 20*j(f) + 4*v(f). Let m be 7 - 20\/5 - 1. Let c(q) = -21*q + 2 - m + 19*q. Determine c(o(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 131, 374, 715, 1154?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(15)\/sqrt(45))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/4 + 4013*q**4\/4 + 1991837*q**3\/2 - 42517291*q**2\/2 + 403248725*q\/4 + 492262969\/4 = 0 for q.\nAnswer: -2017, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 630858661.32\nAnswer: 630858660.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1032\/3870 + 398\/(-30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -39 + 11. Let r(g) = 5. Suppose -4*z - 24 = -12*z. Let n(m) be the first derivative of m**2\/2 - 11*m - 584. Give x*r(a) + z*n(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kccs when four letters picked without replacement from ccccccccsccckkck.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.087 - -21.287. Let l = -0.83 - -0.8. Which is the closest to h? (a) -3 (b) l (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4620 and -4618 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15)*(2 - (12 + -5)). Which is the closest to 0.06? (a) -1.2 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-1)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j - 21 = 0. Let y(a) = a**3 + 8*a**2 + 6*a - 4. Give y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + 13*z - 14. Let l(m) = 11*m**2 + 27*m - 28. Suppose -9 = -v - 0*v. Let t(s) = v*q(s) - 4*l(s). Is 8 a factor of t(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53263 times -16999\nAnswer: 905417737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*t + 5 - 2, -q + 3 = 2*t. Let -2\/5*u**q + 0 - 2\/5*u**4 + 0*u + 4\/5*u**2 = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1292 - -1869. Suppose 2*u = x - g, 13 - 16 = -3*u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10172, 9815, 9458, 9101, 8744?\nAnswer: 8387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 27. Let i(l) = 2 + o*l**3 - 10 + 6*l - 8*l**2 - l**3 + 2*l**2. Calculate i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.4. Let u = 0.02 + 4.38. Let h = u + -3.4. What is the biggest value in 2\/13, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8244977 divided by -6.\nAnswer: -8244977\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1. Let g(q) = -2*q + 14. Let w(n) = 4*a(n) - g(n). Let m be w(6). Solve 2*x + p + 0 = 3, m*p - 6 = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 1764 = 106. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 23. Does -6 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 48, 85, 156, 273, 448, 693?\n\"Answer: 2*y**3 - y**2 + 4*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*h - 84 = 0. Suppose 4*p = 4*b + 16, -p - h = -0*p - 5*b. What is the remainder when (69\/(-2))\/(18\/(-48)*2) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. Let b = j + 6. Let k = -24 + 20. What is the second smallest value in 1, b, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 5*n. Suppose -5*i + 40 = 4*f, n*f = -f + 3*i + 3. Let l(j) = j**2 - j + 8. What is the units digit of l(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 12:40 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*a + 440*a - 32 = 0. Let r be 391\/68 - 3\/a. Let m(w) = -w**2 + w + 10. What is m(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 4436 - (-38 - -30)?\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 364 + -321130?\nAnswer: -320433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 51 + 29. Let x = -17 + 33. Solve -3*p - i = 4*t, 4*t - 5*p = -0 + x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 1. Let u = 2260 - 2259. Let i(o) = -1. Let z be (4 + (-7)\/3)*-3. Determine u*q(k) + z*i(k).\nAnswer: 2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1.1, -256, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -651 + -236a10?\nAnswer: -237561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 23157072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622087 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12876779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16cb14 - 8?\nAnswer: -16cb1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 36244?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101000 + 1?\nAnswer: 1100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1680 divided by -35\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 20. Let x be q(10). Suppose 3*t - 4*k - 276 = -x*k, -372 = -4*t + 4*k. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 - 6*q + 5. Let g be m(5). Suppose -30 = -i - g. Let p be i*(-625)\/(-5)*(-4384)\/(-10). What is p rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, j: 1, w: 6, c: 3}. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5893160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37515253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1343 divided by 134\nAnswer: 1343\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -186221 from 114.\nAnswer: 186335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*b - 99*b + 385542. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znq when three letters picked without replacement from {s: 2, n: 2, w: 1, q: 4, z: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 95. Let p(j) = -5*j - 12. Let q(z) = 12*z + 33. Let s(g) = -11*p(g) - 4*q(g). Determine k(s(f)).\nAnswer: -21*f + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:37 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*i + 1194, i - 171 + 6065 = 5*m. What is the highest common divisor of m and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528\/12 - ((-4)\/(-6) + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 56, 67, 66, 53, 28, -9?\n\"Answer: -6*z**2 + 41*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmsmmmmhmhmmsmhmhh. What is prob of sequence ms?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/12 + z**3\/6 + 19*z. Calculate l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/(-115) - (-158728)\/736)*12.\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131225\/7975 - (1 - -16)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 511990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 9. Suppose g + 31 = -5*d, 35 = -g - 4*g - d. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900818 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 9, 5, -3, -4, 70 in descending order.\nAnswer: 70, 9, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101, -417, -949, -1697, -2661?\n\"Answer: -108*v**2 + 8*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*y = 3, 4 = -y + 5*y. Suppose -2*w = -4*u + 14, -11 = -u - 2*u + w. Put u, -2, d in increasing order.\nAnswer: -2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1 - -4) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s, -2*s + 2 + 0 = -2*o. Let m be (-16)\/(1\/(-3)*o). Is 5 a factor of ((-30)\/(-4))\/(3\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114986289*b*k**2 - 13*k**2 + 12*k + 12471 wrt b.\nAnswer: 114986289*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 1. Let v(i) = 7*i**2 + 11*i + 9. Let o(a) = 6*t(a) - v(a). What is the lowest common multiple of o(-9) and (-1 - 3)\/(-1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*d - 767, 5*j + d + 1927 = -d. Let i = j + 972. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n + t, n + 5*t = 3 + 3. Let d be (3\/2)\/(n\/8). What is z in -6\/5*z**3 + 0 + d*z**4 - 8\/5*z - 24\/5*z**2 = 0?\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**4 - 653*s**3 + 17901*s**2 - 168399*s + 98415.\nAnswer: (s - 27)**3*(8*s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1621, -2, 0 in descending order.\nAnswer: 3, 0, -1, -2, -1621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + o + 1964*o**3 - 2075*o**3 - o.\nAnswer: -111*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005569457 to five decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 + 18*a - 23. Let r be c(7). Is 1\/(-5) + r + 21486\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 16\/7, 3\/2, 5.2 in ascending order.\nAnswer: -0.4, 3\/2, 16\/7, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-1800) + 41\/(-30))*(-190)\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*w - 26*w - 27*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.916433 litres to millilitres.\nAnswer: 7916.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 - 17*c**2 - 16*c**2 + 474*c**3 - 37*c**2 + 79*c**2.\nAnswer: 474*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 8*g**2 + 4*g. Suppose 0 = 32*r - 94*r. Determine j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*j + 274*j - 1 + 1)*(j - 3*j + 0*j).\nAnswer: -948*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)\/z**(-26))\/((z*(z**(-25)\/z)\/z)\/((z*z**(4\/5))\/z)) assuming z is positive.\nAnswer: z**(1071\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0279 to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -188?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 75. What is the third derivative of -28*t**2 + f*t**3 + 18*t**3 - 44*t**3 wrt t?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*p**4 + 194*p**4 - 82*p**4 + (-p - 4*p + 6*p)*(3*p**3 - p**3 - 4*p**3) + 5 + 3*p**4 - 5 to b + q*p**4 + c*p**2 + v*p + u*p**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -120*f + 116*f - 94, 4*t = -13*f + 167 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((220\/(-15))\/22)\/(8\/(-21)) - 4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 1054155?\nAnswer: 1054150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6792 (b) 81 (c) 1\/4 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5632498 rounded to 3 decimal places?\nAnswer: 0.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npc when three letters picked without replacement from pncp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 318503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 103*r**2 - 999*r + 1016. What is a(-112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 5 + -15 + -93 + 66 + -11.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 6*q + 0*q - 12 + (4 + 1 - 4)*(2*q + 4*q - 3*q))*(-1 - 3 + 2).\nAnswer: 6*q - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {m: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 + n**2 + 4. Let t be r(-6). Suppose -9*l = -2*l - t. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 2 = -13*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avdavlr. What is prob of sequence daa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x**2 + 2*x. Let k(p) = 2*p + 206. Give k(n(h)).\nAnswer: 56*h**2 + 4*h + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c - c + 4*c + 0*c - 2*c + 2*c - 5 + 5 + (3 - 2 + 0)*(-c + 5*c - 5*c) + c + 2*c - 2*c)*((0 + 2 - 3)*(-6 - 3 + 2) - 4 + 0 + 5).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -1, -q + 9 = 3*k. Suppose -15 = -k*t + 7*t. What are the prime factors of (-32)\/t - 8\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023734 (base 8) to base 10.\nAnswer: 272348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20204364*d**3*f - 276716*d**3 + d**2 - 4*d wrt f.\nAnswer: 20204364*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622870 is divided by 8311.\nAnswer: 7856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkzhrkvklzzvrzvkkv. What is prob of picking 1 v and 2 k?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202313 + 13122?\nAnswer: 222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(2 + -4 + ((-5 + sqrt(3) + 2)**2 - ((1 + sqrt(3) - sqrt(3) - sqrt(3)) + 5)) + 3).\nAnswer: -70 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 831303 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34125093.44699169 - 34123722.447. Let x = u + -1371. Round x to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3847 + -3844. Solve 0 = 4*v + 5*a, a - 7 = -b*v - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580823814.\nAnswer: 2, 3, 96803969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 187 = -3*r + 29, 5*r = 4*l - 625. Suppose -3*y = 2*y - l. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 15946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, u: 7}. Give prob of sequence gu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(0 + -5) - -60*(-26)\/312?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 188932 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -160427 + -6?\nAnswer: -160432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022182 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1873.\nAnswer: 22476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 - 279*y**3 - 41250*y**2 + 83592*y = 0.\nAnswer: -81, 0, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 x when three letters picked without replacement from xxxxcxcxxxxxxccxxxc?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/70 + r**6\/25 - 9*r**5\/100 - r**4\/5 + 2*r**3\/5 - 28*r**2. Let t(p) = 0. What is p?\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -132)*(-3)\/(-3). Let z = k - -187. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1403, 2832, 4259, 5684?\nAnswer: 7107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 - 1567650*d + 3135280 = 0 for d.\nAnswer: 2, 313528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2)\/n)*n**(-3))\/(n*n**0)**(3\/2) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16)*(-3 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s + 23*s = -17*s + 78 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 12. Let w be r(-7). Suppose -137 = w*g + x - 2449, 0 = 2*g - 3*x - 935. Find l, given that -3*l**2 + 463*l - g*l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + f = -36, 2572 = 64*j - 32*f + 35*f for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5772)\/1184)\/((-4)\/((-48)\/(-27)))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1161, 2317, 3473, 4629, 5785, 6941?\nAnswer: 8097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.9 - 6. Let l = 143 - 138.9. Let h = i + l. What is the closest to 0.2 in -1\/10, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.534573 millennia to decades.\nAnswer: 253.4573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001374314 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/27 - 195\/(-27). Let c(q) = 4142*q + 6. Let j be c(w). What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*1\/(-3). Let s = -152.7 - 8.3. Let f = 160.7 + s. Which is the nearest to x? (a) -3 (b) f (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26477292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - r + 12, -7*m = -11*m + r + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hccouh. What is prob of picking 1 o and 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 + (-17 - -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 2*r**2 + 302*r**3 - 694*r**3 + 395*r**3 + 2*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**6\/150 + j**5\/50 - j**4\/60 + 2*j. Factor x(w).\nAnswer: -w**2*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33.6 + 32.03. Let q = c - -1.6. Sort 1\/4, q, 5, -0.2 in descending order.\nAnswer: 5, 1\/4, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 348 = 69. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + k - 93 = 132, -2*k + 220 = 2*r. Let a = -1 - 0. What is the common denominator of (r + 2\/a)\/6 and 1\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868*h + 836*h + 85472 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3648 + 0*f**2 + 160*f + 6*f**2 - 66*f - 150*f - 2*f**2.\nAnswer: 4*(f - 38)*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (sqrt(112) - (sqrt(112) - (sqrt(112) - sqrt(112)*-2)*-1)))\/(sqrt(7) + (2*sqrt(70))\/sqrt(10) + sqrt(7)))\/(-2*sqrt(800)*1*6))**2.\nAnswer: 1\/7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120020022201102 + -12?\nAnswer: 120020022201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -7. Let g = f - 4. Is 0 + -2 - -78 - g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 6 - 12 + 0*d + 3. Let y be n(5). Suppose -941 - 69 = -y*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 - 1043\/5. Let q = -21 + 50. Let a = -28.4 + q. What is the closest to 1 in a, h, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 13. Let b be l(0). Let o = 7 - b. Let k(d) = d**3 + 5*d**2 - 9*d - 4. Is 9 a factor of k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/82, 1, 4, 3\/5?\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/5 (c) -7 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 25. Suppose 3*m = -6 + 18, 0 = -v + 5*m + 18. Suppose 5*s + v = w + 11, s = u*w - 32. Solve 0 = 5*x - w - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -4, 73, 427, 5 in ascending order.\nAnswer: -115, -4, 5, 73, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -2010?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:00 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u**2 + 4*u + 4. Let t(m) = -9*m**2 + 2*m + 4. Let r(n) = -4*t(n) + 3*z(n). What is the units digit of r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 1 + 2 + j**4 - 2*j + 1 + 0 to the form u*j**3 + h*j**2 + p*j + n + y*j**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.12 - 0.02. Let f = r - 1.05. Round f to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnvblj. Give prob of sequence vxl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4a2 (base 16) to base 14\nAnswer: 60a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -50*p - 8. Let m(h) = -h - 4. Let f(d) = -6*m(d) + 3*z(d). Let r(s) = -s. Calculate f(r(l)).\nAnswer: 144*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j*n*w*y**3 - j*w*y**2 - j + n*w*y + 2*n*w + 2*y**3 wrt n.\nAnswer: 7*j*w*y**3 + w*y + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/10 and 49\/874.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 1473655?\nAnswer: 1473661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.64 - -1.68. Let i = c + -0.04. Let m = i - -14.9995. What is m rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 1. Which is the nearest to -0.2? (a) -2\/5 (b) 0.05 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399\/(-14)*(-6860)\/4655.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 69*k - 146 + 35*k.\nAnswer: -34*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5179825 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, w: 8}. What is prob of picking 3 t and 1 w?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-279)\/27 + (-144)\/(-27) + 102\/16)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -11.224\nAnswer: 22.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-104)\/39*42\/(-8). Let x = 34 + z. Calculate the greatest common factor of x and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k - 593 + 89 = 30*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106589 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, 447, 1507, 3573, 6981, 12067, 19167?\n\"Answer: 56*i**3 - i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (308\/(-1518)*1)\/(1\/(30\/(-35))).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/12861940 and 103\/223470?\nAnswer: 115757460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 10*o**2 + 3*o + 19. Let r be x(-10). Let l(p) = p**3 + 12*p**2 + 8*p - 27. Let i be l(r). Solve h = 3*q - i, -h = 3*q - 8 - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 20*y - 5. Determine l(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11309440 less than 22.4?\nAnswer: -11309417.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453*((-5)\/30)\/(90\/12) - -10?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/20 + 2\/(-5)*(-40)\/20\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + -18 - -50.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 10\/3. Let o(a) be the second derivative of 2*a + 0*a**2 - g*a**3 + 0. What is o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -55.2 (b) 2\/23 (c) -1529\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -172. Is (0 - (-1)\/o)\/(6\/(-71076)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/11 - 164*v\/11 + 1840\/11.\nAnswer: -2*(v - 10)*(v + 92)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -21 - (-19 - (24 - 33)) - 26?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a day?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 3, -625319, -27 in descending order.\nAnswer: 3, 0, -3, -27, -625319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 1. Suppose -3*g + 5*l + 123 = 4*l, g = 2*l + 41. Let u = g - x. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*y = -68*y + 92. Solve 0*z + 5*z + 16 = y*d, -12 = 2*z - 3*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39465452 is divided by 411.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -899, -2, 30 in ascending order.\nAnswer: -899, -2, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - 4\/(-1))\/(10\/(-540)*6). Solve -2*f + 3*t + 12 - s = 0, -15 = 3*f - 3*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*d - 42027, 2*d - 59975 + 3939 = -4*t. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245305210 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*m - 5*m - 13, 0 = 20586*y - 20587*y - 28*m - 198 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 212 and -131.97.\nAnswer: 80.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1917, 1903, 1897, 1905, 1933, 1987, 2073?\n\"Answer: n**3 - 2*n**2 - 15*n + 1933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139597575.\nAnswer: 3, 5, 13, 143177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.117 and 20.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 208\/130 - (-164)\/(-90).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (3*sqrt(63)*-5 + sqrt(63))) + sqrt(63) - sqrt(504)\/sqrt(8)*5)\/((sqrt(324) + ((sqrt(324) - 3*sqrt(324))*-6 + sqrt(324) - sqrt(324)))*4).\nAnswer: 11*sqrt(7)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 6:43 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 708 and 2957778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2100 + 2236. Calculate the lowest common multiple of 8 and t.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 2960 + 1168. What are the prime factors of f?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2982 divided by -2427.\nAnswer: -994\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 46.4. Which is the closest to 1? (a) 1 (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*c + 172 = -566*c + 4*x, 5*c = 3*x - 8*x + 205 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Suppose -z*b = -6*b - 5*v + 55, 32 = 2*b - 2*v. Factor 2*f**3 - b*f**2 + 18*f**3 + 0*f - 5*f.\nAnswer: 5*f*(f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -2.9. Let i = 3.2 + h. Let c = 11 - 11.2. Is i < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*a + 234*a**2 + 7*a**3 - 234*a**2.\nAnswer: 7*a**3 - 47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5027024 grams to kilograms.\nAnswer: 0.0005027024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3351 + -5?\nAnswer: 3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 equal to 11\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21312002 + -26?\nAnswer: -21312030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -484\nAnswer: -29\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168889 is divided by 2438.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 3\/3) + -3. Let w = 7 + y. What is the units digit of 0\/w + (20 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)*(-14)\/4. Let p(d) = d - 8. Let a be p(s). Let x be (3 + a)*1\/4. What is the smallest value in -2, x, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74358, 297462, 669310, 1189908, 1859262, 2677378, 3644262, 4759920?\n\"Answer: p**3 + 74366*p**2 - p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38.953 * -0.3\nAnswer: -11.6859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*r**4 + 42052*r**3 - 10439954*r**2 wrt r.\nAnswer: 3936*r + 252312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:29 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13322906*m. Let o(g) = -3*g**2. What is b(o(t))?\nAnswer: -39968718*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * 0.03.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, -0.66, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -466, -1857, -4170, -7405, -11562?\n\"Answer: -461*o**2 - 8*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 0*q**2 + 0*q - 4 - 5\/3*q**3. Let z(u) = -2*u + 4*u - 4*u. Give f(z(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2. Let f(s) = 26*s**2 + 7*s**2 - 8*s**2 + 4*s**2. Give c(f(b)).\nAnswer: 2523*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93685 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5 - 19*s**4 - 33*s**3 + 19*s**2 + 34*s = 0.\nAnswer: -17, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n. Let c(a) = -a**3 - a. Determine -3*c(v) + i(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 38, 79, 146, 245, 382, 563, 794?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.188101l?\nAnswer: 6188.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 2*x**2 + 4*x - 3. Let f be a(3). Suppose f = -5*r + 4*r + 5, -110 = 5*m + 5*r. Let y = 40 - m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5415 + 33?\nAnswer: -5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*h = -115*h + 572. Let a = h - 99. What is the greatest common divisor of 66 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:39 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -111010?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*i**5 - 148*i**4 + 180*i**3 + 100*i**2 - 208*i + 48 = 0. What is i?\nAnswer: -1, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**37)**(-4\/19)*(n**(7\/2))**(-2) assuming n is positive.\nAnswer: n**(-281\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -748 take away 0.3?\nAnswer: -748.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18154 and 4382.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*j + 196 = i, 5*j = -10. Round i to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 13*i**2 - 1. Let a be s(13). What are the prime factors of a - -32 - (2 - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(833)*-1 - sqrt(833)) + sqrt(833))*5 - sqrt(833))*-6)**2 - ((0 + sqrt(833))*2 - ((2*sqrt(833) - sqrt(833)) + -3)))*-6.\nAnswer: -6477390 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 118*i**2 + 281*i + 4933. Give l(-120).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*x - 3*r = -168, 3*x + 24*r - 20*r - 9 + 1 = 3*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 14 = -3*f. Suppose -4*k + 5*j = 5, 0 = -4*k + 2*j + 10 - 0. Calculate the remainder when f is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -449*w**5\/5 + 3488*w**2 - 32*w - 102. Differentiate b(n) with respect to n.\nAnswer: -5388*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 9462?\nAnswer: 28386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d**(10\/9))**(1\/34) assuming d is positive.\nAnswer: d**(14\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 6 = 10*c. Let s be 15\/(-10) - (-21)\/c. Solve -s = -l - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4403 - 839 = -9*y. What is the remainder when -4 + 2 + y\/(-4) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -25*y**4\/24 - 13*y**3\/3 - 15*y**2 + 4. Let k(m) be the second derivative of t(m). Find the first derivative of k(b) wrt b.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 6*g - 2. Suppose -4*o - 5*y - 9 = -0*y, -4*y = 4*o + 8. Let v(d) = 0*d + d - 6 + 6. What is o*k(h) + 4*v(h)?\nAnswer: 2*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -49.286. Let b = 0.306 - x. Let q = -0.02 + b. What is the third smallest value in q, -0.3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 6893.\nAnswer: -4\/6893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/12 + b**2. Let d(p) = 2*p**2 + 12693*p - 12693*p. Calculate d(h(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnpi when four letters picked without replacement from {p: 4, i: 2, k: 2, n: 11}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 23, -5 in increasing order.\nAnswer: -5, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90912 = 48*c - 8592. Round c to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2)\/(2\/4). Suppose 104 = w*r + v, -2*v = -3*r + 163 - 7. Let g = 89 - r. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 15 = o - 5*v, 15 = 3*v. Suppose -4*n = -o*n + w + 2, 3*w = 6. What is the second biggest value in -0.4, 5\/2, n?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -14896*z - 148176. Calculate k(-10).\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 18)*(-22 + 17 + 9 + 2*h).\nAnswer: -28*h - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3951 is divided by 498?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 212*j**2 + 17*j + 32. Let u be r(-2). Suppose -18*g + u = -9*g. Calculate the highest common divisor of g and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q + 2095 = 135*q - 405. Solve -23 - 2 = -q*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 32 + (1 - 2). Suppose u = 7*n - 6*n. Suppose -27*c - 25 = -n*c. Solve c - 4 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3248*h - 1449. What is the units digit of d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5\/4 - 4176*h**4 - 1659327*h**3\/4 - 7729287*h**2\/2 - 12073320*h - 11939928 = 0 for h.\nAnswer: -5467, -91, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 15*s - 100 = 0. Let x = s + -39. Let b = x - -32. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b - 11\/24*b**4 + 0 - 3*b**2 - 7\/6*b**3. Find the first derivative of c(p) wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0\/(g**(1\/2)*g)*(g**(-1\/3))**(3\/10) assuming g is positive.\nAnswer: g**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49299 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let r(h) = 2*h**2 + 2*h - 2. Let d be r(1). Let l(q) = -2*q**d + 11*q**2 + 5*q**2 + q**2. Calculate y(l(u)).\nAnswer: 450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*f - 3*y, 3*f = 3*y + 11 - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 57*u**2 + 16*u - 18. Let s(h) = 19*h**2 + 6*h - 6. Give -4*m(n) + 11*s(n).\nAnswer: -19*n**2 + 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 28*j + 28*j. Let a(r) = -4*r**2. Give l(a(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*z - 502626 = -14817. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*87741\nAnswer: 43870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01497256 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 443366 + 4524?\nAnswer: 451223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 2, i: 6, t: 2}. Give prob of sequence bx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -749.1 + 681. Let x = m + 68.10593. What is x rounded to 4 decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.2. Sort 5, 0, s in decreasing order.\nAnswer: 5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364636*74.\nAnswer: 26983064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -224892 - -2311182.\nAnswer: 2086290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Solve 4*r = -y, -3 = -i*y + 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s - 28. What is the hundreds digit of x(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(-1 - 7252*l**4 + 2146*l**4 - 9185*l**4 + 1 - 40816*l**4) to a*l + j*l**3 + g*l**4 + o*l**2 + w and give g.\nAnswer: 110214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 + -539\/4. Suppose 0 + n*a + 1\/4*a**2 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (14128\/18 - (-36)\/(-162))\/((-2)\/(-9)) is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 0, -30 = -8*f + 5*f - 3*s. Let y(q) = 2*q. Let a be y(2). Solve -f*r + a*r = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*z + 140 = -141*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 6, e: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**5 + 41132*d**3 - 5*d**2 - 76347*d + 2 wrt d?\nAnswer: -360*d**2 + 246792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(76))\/(sqrt(196) - -1*sqrt(196)).\nAnswer: 15*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362*l**2 - 230*l**2 - 227*l**2 to the form o*l + s + h*l**2 and give h.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let b be w(11). Suppose b = -4*h + 2*n + 66, -h = 4*n - 18. Let z be (h\/(-49))\/(1\/(-7)). Solve -2*o = -3*f + 1, z*o + 2*f + 2*f + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from jkjjjvbvskkb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t**2 + 12*t + 14. Give a(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-15) - -4)\/(12\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192829679753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = 3*o. Let y(w) = w**3 + 5*w**2 - 2*w. Let l be y(-4). Does 11 divide l + -1 + (o - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/120 + 11*g**5\/60 - 5*g**4\/12 + 4*g**3\/3 - 3*g**2. Let k be l(10). Let n be 6\/k + (-42)\/24. Which is greater: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20070000 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-19)*k*k\/(k*k**14) assuming k is positive.\nAnswer: k**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631857848.\nAnswer: 2, 47, 433, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -538 + 1138. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80145371.\nAnswer: 80145371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3617, -7224, -10831, -14438, -18045?\n\"Answer: -3607*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.109 (b) 0 (c) -4657 (d) -0.3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 630658*s + 1712. Let t(d) = 3688*d + 10. Calculate -5*b(k) + 856*t(k).\nAnswer: 3638*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t**2 - 916*t - 449. What is c(63)?\nAnswer: 1378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 4*c + 2838. Suppose -5*q + 3*i + 456 = -c, 4*i = -2*q + 776. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 5 - 2 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 1 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052456 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -982*r**2 + 2 + 438*r**2 + 407*r**2 in the form k + t*r**2 + w*r and give t.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - 0 - (-11 - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 11*v**2 - 14*v - 18. What is a(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {w: 1, v: 5, b: 1, i: 4, j: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -404, -3, 4, -1, 2 in increasing order.\nAnswer: -404, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2. Let a(q) = q - 11. Let c(n) = 1. Let s(v) = -6*a(v) - 66*c(v). Determine s(l(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 9*i - 1. Let m be v(-9). Let t be 2\/(-2) + m - -3. Solve 2*r - t = 5*s - 2*r, -5*s = -5*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*r**4 + 5*r**2 + 45*r.\nAnswer: 3624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Let o = -4.7 + 4.2. Let t = 5.4 + -5. Which is the closest to i? (a) t (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {e: 2, t: 2, u: 1, w: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 430 = 4*s, 8*s - 3*s = 3*y - 623. Suppose 3*a - 6 = 0, 5*a + y = -5*n + 8*a. Let l = n + 80. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*x - 20*x + 2. Let z be ((0 + 0)\/1)\/1. Suppose z = -t + x*t - 9. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 423702*x**2 + 5*x - 10. Is f(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111111011010110110 (base 2) to base 12\nAnswer: -212046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6720 and 423024.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5 + 606*u**4 + 16522*u**3 + 106344*u**2 + 246184*u + 189600 = 0?\nAnswer: -237\/2, -25, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4362*n**4 + 256*n + 2?\nAnswer: 52344*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-1))\/((-8)\/151). Let r = -38 - k. Let o = -0.4 + 0.2. Which is the nearest to r? (a) -0.4 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/11, 2\/7, 0.\nAnswer: -2\/11, 0, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 5, a: 4, f: 8}. What is prob of picking 1 f and 1 y?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112221 - -21?\nAnswer: 10120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 2*t**2 + 0 - 2 + 7 to the form l*t**2 + y + w*t and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 + 41*g**2 - 59*g - 1. Let c(t) = 2*t**3 + 13*t**2 - 20*t + 2. Let p(z) = -3*a(z) + 8*c(z). Determine p(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 363, 371, 393, 435, 503, 603, 741, 923?\n\"Answer: i**3 + i**2 - 2*i + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/1*(820\/8 + -4)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 + 15*u + 5. Let a be l(-3). Solve a*f - 2*w = -7, 22 = -5*f - w + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91743742 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27161 is divided by 5342.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -22. Let o = 2.2 + -7.7. Let z = y + o. Sort 0.2, -4, z in increasing order.\nAnswer: -4, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97898236 is divided by 19579645?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**3 - c**2 - 5*c + 1. Let d(s) = -7*s**3 + 2*s**2 + 6*s - 1. Let b(g) = 5*d(g) + 6*o(g). Let t be b(-4). Solve 3 = l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -6. Is 1\/6 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6396 + -85. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -563643?\nAnswer: -9581931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + -2 + (-342)\/76\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*w = 9*w - 30600421. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 1327572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 - 4*w**2 - 2*w - 13 + 16 + 8*w**3 + 0*w**2 to g*w + t*w**3 + a + u*w**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**16*q*q**8)\/((q\/(q**(-19)*q)*q)\/((q\/(q*q*((q\/(q**16*q*q))\/q)\/q)*q)\/q)))**48 assuming q is positive.\nAnswer: q**1104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 46908 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/2)\/(19*115\/3496))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*306196.9.\nAnswer: 7348725.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -6 - (1 + -1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.09 (b) -1 (c) -132 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 21773191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574292?\nAnswer: 2, 143573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -40 (b) 6491 (c) -1\/4 (d) 0 (e) 5 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2046.319 days?\nAnswer: 176801961600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/73))\/b*b**(3\/23)*(b*b*b\/b**13*b)**(-2\/5) assuming b is positive.\nAnswer: b**(39942\/8395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -120. Calculate the remainder when 485 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14742.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 29 (c) 5 (d) -10221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 2, l: 1}. What is prob of sequence ka?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4 + sqrt(272))*2 + sqrt(1088) + 1 + 4 + sqrt(1088) + sqrt(1088)).\nAnswer: -192*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 13*u - 3. Let k be q(-6). Let n be 18\/k - 44\/(-10). Suppose 2*g - n*g = -42. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 5\/4*f**2 + 0 - 7*f + 1\/2*f**3 + 1\/24*f**4. Let o(y) = 0. What is y?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/14*6\/9.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1795 = 1793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 28*d**2 - 58*d + 430. Let b be p(-25). Solve -2*w - 3*h + b = -8*h, -3*w = h - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**7\/70 + g**6\/120 - g**5\/12 - g**4\/24 + g**3\/3 - 12*g**2 + 1. Find v, given that s(v) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3968 is divided by 159.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 39. Let y be i(-7). Which is the third biggest value? (a) y (b) 0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -2*q. Let b be q\/(9744\/(-4869) - -2). Is 2\/(-11) - b\/33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 5. Let x(o) = -o - 11. Let t(s) = 1. Let w(j) = -28*t(j) - 4*x(j). Give 16*u(a) + 5*w(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.02081 rounded to two decimal places?\nAnswer: 18.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-105)\/(-371)) - (260 + -250).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -72. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.152 and 0.55.\nAnswer: 14.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:22 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-12))\/((-2)\/((-10)\/(-5))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 0. Suppose 0 = 5*o - 5*m + y - 1, 4*m = 3*o + 11. Let -6*j + j**2 + 1 + 1 + o*j = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-605)\/187)\/11*(-6)\/(-15)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 5*w + 58. Calculate the remainder when 65 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 48*n**2 - 100*n + 3. Let s be c(-50). What is the third derivative of 6069*h**2 - 2 + 2 - 5890*h**2 + 60*h**s wrt h?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71301723.\nAnswer: 3, 17, 653, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -0.3, 9, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 2754?\nAnswer: 2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/19030 and -19\/4323270?\nAnswer: 47555970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-4 + 2) + 448. Suppose -4*f = -4*a - 268, 5*f + 2*a + 99 = i. Suppose -3*r - 5*v = -17 - f, -5*r - 5*v + 140 = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:44 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.225 + -0.005. Let g = i - -0.07. Let k = g - -0.06. What is the smallest value in -1\/6, k, 2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 9 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9322 + -1217. Suppose -1994 = 9*y - n. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**3 - 119*h**2 - 13*h - 138. Let k be m(20). Let j(q) = 3*q**3 - 2*q**2 - 3*q + 2. Let p be j(2). Solve k*s - p = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 461244 and 24624?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:54 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s - 4*s)*(2 + s - 2) - 14*s**2 + 18*s**2 + 0 + 1.\nAnswer: 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - -112. Let h be (-6)\/(-4)*z\/30. Let o be 4\/1 - (2 + -1). Solve -o*p - 8 - h = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2168 + -2168. What is the biggest value in 4, -56, -0.2, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, -0.1, 4 in descending order.\nAnswer: 4, -2\/23, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 390 = 4*m, -3*l - 253 = 5*m - 658. Find j, given that 2420 + l*j + 5\/4*j**2 = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -88*n**3 - n**2 - 16*n + 4. Let p(l) = 175*l**3 + 2*l**2 + 32*l - 7. Let z(f) = 7*b(f) + 4*p(f). Find the third derivative of z(k) wrt k.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207 + 155 - 2*z**2 - 316 to y*z**2 + d*z + f and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -4*(sqrt(300) + 0 + sqrt(300) + sqrt(300) + 1) + -5)**2 + 5.\nAnswer: -173119 - 8640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/8, 2\/9, -1, -2\/9, -3\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/2 + 65*a**3 + 729*a**2\/2 - 926*a + 496 = 0.\nAnswer: -124, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f - 5. Let g be k(-3). Let v be 2*(1 + -1 - 11). Let x = v - g. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 1. Suppose -2*r - 2*r + 296 = 0. Let w(f) = -r - 85 - f + 152 + 5*f. What is -5*p(o) - w(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:16 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18128 divided by 4?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 595.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, d: 2, s: 1, m: 2}. Give prob of sequence wd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 147127760713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1 + 19*w**2 - 3 + 2. Let q(z) = 41*z**2 + 9*z + 9. Let f(g) = -9*g**2 - 2*g - 2. Let r(n) = -18*f(n) - 4*q(n). Give a(r(h)).\nAnswer: 76*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 21.5. Let l = -4 - h. Let f = -3\/2621 - -5275\/28831. Put f, -2\/9, l, 2 in descending order.\nAnswer: 2, l, f, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896 = 113*l - l. Let v(n) = -9*n + 1. Let h(o) = 3*o. Give l*h(j) + 3*v(j).\nAnswer: -3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/3 + 4528*v\/3 + 9064\/3 = 0. Calculate v.\nAnswer: -2, 2266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1082 - -10821\/10. Let z = -116 + 109. What is the second smallest value in -15, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - 12)*5\/2. Suppose -5*w + 371 = k*o - 1409, 0 = 2*w - 4*o - 688. Does 32 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a + 2. Suppose -2*q + q - o - 11 = 0, -o + 7 = -2*q. Let h = -5 - q. Let w(i) = -i. Let v(k) = h*t(k) + 5*w(k). Differentiate v(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23078799 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -761\/12, 3, 0.05 in increasing order.\nAnswer: -761\/12, 0.05, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*u - u = 19417, 3*u = 12. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -14, -1 in decreasing order.\nAnswer: 3, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from {y: 4, f: 15}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-258)\/(-1290))\/((-2)\/184)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 - 1 - 1 + 3 - 9*o**2 in the form l + t*o + y*o**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -23) + -14 + -1 + -2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15084587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -423 + -18?\nAnswer: -43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/3))**(-2\/9))**(2\/29))**(-2\/15) assuming g is positive.\nAnswer: g**(16\/11745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**3 - 86*c**3 + 1279815*c**2 - 1279810*c**2.\nAnswer: -147*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -593*r + 597*r - 13, -2*r = 5*o + 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -817015.35.\nAnswer: 1634030.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -b + 9, -3*b + 2 = 2*r - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 101*g**3 - 67*g**3.\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 2 (c) 1.07 (d) 0.012 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258503919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*s + 1 + 3, 0 = -2*s - 3*t - 4. Let q be (s\/(-8))\/(22\/8). Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10897 = 5*g, 5*g + 0 = -5. Let s = n + 11182. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13716099900 rounded to the nearest 100000?\nAnswer: -13716100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 16192*x + 9528994.\nAnswer: -2*(x - 8647)*(x + 551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96828259*d*j**2*p**2 - 2*d*j**2*p - 192*d - 5*j**2 - 4*j*p + 13*j - 2*p wrt p?\nAnswer: 193656518*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/(k*k**(4\/3))*k)*k*k*k**(-4\/17)*k*k\/k**(3\/2)*k*k\/(k**(-18\/7)*k*k)*k assuming k is positive.\nAnswer: k**(5833\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3845942 to the nearest 1000.\nAnswer: 3846000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5 + 4 - t + 2 + t**2 + t**2. Let o be y(1). Which is the closest to 2\/5? (a) 0 (b) o (c) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496 + -499 + 1\/((-1)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Suppose 0 = 2*x + x + l, -2*x + 204 = 4*b. Suppose -16 = -j + 11. Calculate the remainder when b is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 23 + 37 - (33 + -33).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + -9.97. Let s = -2654.2 - -2654. Which is the second smallest value? (a) 0.1 (b) -0.4 (c) f (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/15 and 63\/5840.\nAnswer: 17520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28396 divided by -7099.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/6)\/(b*b**(1\/36))*b**(-2\/39)\/b**23 assuming b is positive.\nAnswer: b**(-11659\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1)\/(6\/3). Suppose 2*k + 3 = -k. Let n be 2 - (2 + 0) - k. Which is bigger: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + -32. Let q = 42 - r. Solve 4*v - q = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*y - d, 45*d + 21 = y + 46*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -124777.4275468.\nAnswer: 124781.4275468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2 - 5*o + 14. Determine p(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - (-1)\/15. Let w = 0.4 + -0.3. Let m = w - -4.9. Which is the smallest value? (a) m (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7 and -7.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from {h: 4, a: 1, j: 1, t: 6, p: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/4)\/((-7)\/56). Let m(r) = 0*r + r - 2*r**b - r. Let x(j) be the first derivative of j**3 + 1. Calculate x(m(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 3 - (5 + -5) - -994 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**8\/1512 - 2*c**7\/315 + 13*c**6\/90 - 86*c**5\/135 - 7*c**4\/36 + 26*c**3\/3 - c**2 - 1380*c. Suppose r(d) = 0. Calculate d.\nAnswer: -13, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20456 + -1?\nAnswer: 20455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -5. Let o be (1\/4)\/(17\/(-2040)*10). Let r = i - o. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4630, -4638, -4660, -4702, -4770?\nAnswer: -4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1614 (base 13) to base 15\nAnswer: -e53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 43. Which is smaller: 11 or d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*s, 9*w - 13*w - 29 = -3*s. Let f = -0.3 + 4.3. Let d = f - 0. What is the smallest value in 1\/2, d, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 77\/5 + ((-88)\/(-20))\/(-11) + 1. Calculate the greatest common factor of v and 1304.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 96, 93, 90, 87, 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280 = -560394*a + 560474*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*n + 4*n + 64, 2*z + n = 17. Let h = z - -22. Let k(m) = -4*m**3 - 4*m**2 - 3*m. Let c be k(-2). What is the highest common divisor of c and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*w + 664 = -108*w. Is 40 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 9:51 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from autaftntnutttuff. Give prob of picking 2 f, 1 a, and 1 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4658 + 736?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33590, 67180, 100770?\nAnswer: 134360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - 5*m + 2 - 3*m**2 - m**2)*(-3 + 31 + 12) in the form t*m**2 + p + y*m and give p.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -67.9788. Let f = -0.02119783 + h. Round f to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 - 9*j**2 + 11*j**2 - 3*j**3 - 6*j to k*j + r*j**3 + m*j**2 + q and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657, 736, 923, 1272, 1837, 2672, 3831?\nAnswer: 5368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 53*q + 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -0. Is 1\/n + (-1911)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300879165?\nAnswer: 3, 5, 20058611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -21 - (-67 - -59).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 13 = 5*c. Suppose 0 = 5*k - 25, 12*s + 16 = 15*s + 2*k. Sort s, -2, c in decreasing order.\nAnswer: c, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*18\/168*7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117953 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 9*k + 1. Let h be q(-7). Suppose -h*m + 24 + 21 = 0. Solve -3*p = -0*p - m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21248 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19053 divided by -1577?\nAnswer: -19053\/1577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffkwd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8.16 or -170\/9?\nAnswer: 8.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -75*s + 1277. Let w be g(17). Solve 3*u - 9*m + 13*m - w = 0, -6 = -3*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 603, 1578, 3163, 5664, 9387, 14638, 21723, 30948?\n\"Answer: 51*o**3 - o**2 + 621*o - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, 1 m, and 1 i when four letters picked without replacement from vcomiiivcevo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - 4*sqrt(91)*3)\/(1*sqrt(63)))**2.\nAnswer: 1573\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 266. What is the biggest value in 0.5, -0.05, j, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*n - 74*n + 173*n = -t - 15, 36*t - 150 = -3*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 501 - 1293. Let y be 15\/(-2)*m\/(-30). Let x = -71 + y. Round x to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 13 = -3*c, -h + 3*h + 4*c + 14 = 0. Let q = 24 + h. Calculate the highest common factor of 100 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/2 - (-4 - 5). Let h = 7 + -1. Is h smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) 2\/3 (c) -10647448 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q + q)*(4 - 1 - 2) + 3*q + 4*q + 2*q - 67*q + 37*q - 28*q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n**3 + 2*n + 4. What are the prime factors of l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 836 = 3*d + 187, 214 = d - 3*o. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 4, u: 1}. Give prob of sequence euee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 6*l**3 + 3*l**3 - l**3 + 38*l to k*l**3 + h*l + d + f*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.042 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppmpmpppp. What is prob of picking 3 p and 1 m?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155 and 1.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/2 + 15812137*k - 250023676506769\/2 = 0 for k.\nAnswer: 15812137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1505\/93 + -14\/93. What is the common denominator of (-353)\/63 + (-8)\/28 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = g + 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.6 and 69.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19842050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 3. Let w = -5 + 11. What is the least common multiple of p(-7) and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-24) + 175\/(-30).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 - 2*t - 1. Let p(k) = -k**2 - 4*k - 2. Let m be p(-4). Let w be u(m). Let f = w - -3. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*m + 4667, 0 = -5*a + 8*a + 3*m - 14001. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -83*u**2 + 187*u - 3867. Let d(m) = 45*m**2 - 93*m + 1934. Let t(o) = -11*d(o) - 6*v(o). Differentiate t(f) wrt f.\nAnswer: 6*f - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328149.7 millilitres in litres?\nAnswer: 328.1497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10 + 183*z**2 + 9 - 60*z**2 - 183*z**3 - 65*z**2 - 57*z**2. Let w(v) = -2*v**2 + 2*v - 1. Let d be w(1). List the prime factors of g(d).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 12*u - 23. Calculate a(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(710\/(-120) + 6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50964 + 80468. Suppose 2*h - 15 = -3*h. Suppose h*o + 44596 = -z. What is o rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -b - b. Does 5 divide b\/(-8) + (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9089 - 8856. Calculate the remainder when 941 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 15*o + 27. Solve 24 = 4*x + 3*a - a, -2*x + o*a = -4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080928 rounded to three decimal places?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + h + 4*h = -91, 880*h + 80 = 876*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -90 - 30. Suppose -2*p = -7*p + g. Suppose -4*x + 25 = -3*t + p, 0 = -4*t + x - 1. Which is greater: 7 or t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Suppose 0 = -2*r + t*u + 7, r + 2*u = -0*u. Is r smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 1, h: 3, l: 6, z: 1, c: 1}. Give prob of picking 1 o, 1 c, 1 l, and 1 g.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/30 + l**4\/24 - l**3\/2 - 602*l**2. Determine u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 3*v - 2. Let y be d(-3). Let b be 0\/(y\/4) + 0. Suppose -3*m - 2 + 14 = b. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016566133 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113832?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*k*k)\/k*k**1*k)**(-5\/16)\/(k**(-3)*k*k**7)**(-35) assuming k is positive.\nAnswer: k**(2765\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 163, -0.2, 5, -0.2898?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -45. What is the remainder when 94 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 199*w + 204*w - 51, 5*w = 15 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 + 65 + 10 + 20?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*h = 4*g - 24, -3 = -3*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*j + 20, d - 922*j = -913*j + 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvdzg. Give prob of sequence gv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 - 2\/((24\/772)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 162 = -4*a, 5*a = 2*t + 95 + 96. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 20 = -0. Let w(h) = -h - 3 + 4*h - 5*h + 3*h**j + 10*h**3 - 9*h**3. Determine w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24792678.\nAnswer: 2, 3, 1377371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-22) - (-2)\/11. Suppose d = 4*z - 5*h - 26, -5*z + h + 24 = -h. Suppose 10 = 4*c - 2. What is the nearest to -3 in 0.5, c, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 16233820?\nAnswer: -1\/8116910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5, -4*y + 0*y = -2*q - 10. Suppose 16 + 0 = y*a. Suppose 0 = -2*c + 2*o - 4, c - 4*c = -4*o + a. Solve c = -z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(6\/5)*o\/o**(9\/4) assuming o is positive.\nAnswer: o**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -13*l**3 + 11. Let k be 2*(-3)\/((-9)\/6). Suppose k*w - w = 9. Let t(i) = -3*i**3 + 6 - 5*i**3 + i**w. Calculate -7*t(z) + 4*v(z).\nAnswer: -3*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11 - (-3 + 3)) + 5)*19\/3876*8.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {f: 4, v: 1, a: 1, p: 6, l: 2, q: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 46 = -2*y, 0 = 2*d - y + 5 - 42. Suppose 3*v = -12, -5*v + d = 4*i + 4. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2. Let d(f) be the second derivative of 0*f**3 + 1\/24*f**4 + 5\/2*f**2 + 0 + 3*f. Let b(p) be the first derivative of d(p). What is y(b(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbh when three letters picked without replacement from {s: 2, b: 5, h: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(931) + -3 + 5 - ((sqrt(931)*2)**2*-3 + sqrt(931) + -1 + 4))*-1.\nAnswer: -11171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 7*y + 11. Let c be l(-8). Let g(h) = 1. Let d(u) = 27*u**3 - 11. Let o(f) = c*g(f) - d(f). Find the first derivative of o(w) wrt w.\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 - (-7 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: 13 + (43 - ((9 - -9) + 2 + (0 - 9)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - w. Let y(n) = -7*n + 2. Let u(g) = -3*g + 1. Let d(k) = 5*u(k) - 2*y(k). Suppose 2 = 2*p - 0. Let m = -99 - -100. What is m*d(b) + p*h(b)?\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 + -3 + -1)*1. Suppose -83 = 12*u - k*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381311 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -194563779 and 3.\nAnswer: -194563776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -186 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 13 = 3*s. Let v(g) = -g**2 + 5*g - 1. Let b be v(s). Which is smaller: b or -13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -60. Suppose -4*y - 4 = g*k, y + 2*y = -k - 6. Suppose 4*s + 11 = 3*q, s - k*s = q - 29. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00799 + 0.04999. Which is bigger: 78 or x?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - z + 9, -3*p + 3*z = 5*z - 15. Let l(b) = -b - p*b + 3*b. Let j(k) be the first derivative of 7*k**3\/3 + 2863. What is l(j(g))?\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 15 - 80. Let k(x) be the second derivative of 1\/15*x**6 + 0*x**3 + 0*x**2 - 6*x + 1\/6*x**4 + 0 - 1\/5*x**h. Factor k(r).\nAnswer: 2*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 + 69 - (5 + 2 + 7)) + (-6 - 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39637, -39652, -39669, -39688, -39709, -39732?\n\"Answer: -l**2 - 12*l - 39624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c - 2. Let a be m(-6). Suppose 5*s - 9 = -a*f, 3 = 3*f + 2*f - 2*s. Solve -3*h = -4 + f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 d when four letters picked without replacement from jdddjdddddddddjjdjj.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7294124 and -2.\nAnswer: -14588248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven halves of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608629528?\nAnswer: 2, 11, 19, 962099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 40*l**2 + 4*l + 1. Let b be (-216)\/1080 + 4\/(-5). Give m(b).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5777162, -5777375, -5777588, -5777801?\nAnswer: -5778014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(((-19129)\/(-4070))\/((-2)\/(-4))).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -10, 0, -142 in ascending order.\nAnswer: -142, -10, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 61.03. Let x = -156.03 - y. Let w = x + 155.849. What is w rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5430072 and 504.\nAnswer: 114031512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, v: 1, z: 3, a: 5}. What is prob of sequence zzza?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f - f)*(6 - 8 - f + 15*f).\nAnswer: 28*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 8, 1.315, -2?\nAnswer: 1.315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3554842449455+67\nAnswer: -3554842449388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007207549 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2751199578 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-4 - (-29 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 16*b**2 + 5. Let h be m(16). Suppose -1459*n + 1440*n = -38. Solve h = -z, 3*g = g + n*z + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, -2103, -3, -5?\nAnswer: -2103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724774791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**2 + 6*t + 6. Let j(u) = 1 + 46*u**2 + 5*u - 4*u - 47*u**2. What is -22*j(h) + 4*l(h)?\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 15 + 529\/5*p**3 + 12\/5*p - 138\/5*p**2. Factor j(o).\nAnswer: 3*(23*o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*p + 2*r, -5*p - r = -12 + 15. Which is smaller: 18\/37 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -15. Sort -3, 2, o.\nAnswer: o, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67.67*-0.3.\nAnswer: -20.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(136)\/sqrt(4) - sqrt(34))\/(-1*sqrt(200)).\nAnswer: -3*sqrt(17)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20564839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16821998 to the power of 1\/2, to the nearest integer?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3642*u + 40515. Determine d(-12).\nAnswer: -3189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 9)*(-4 + 4 + 2)*(-6 + 3 + 0)*(-f**4 - 3*f**4 + f**4).\nAnswer: 54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*s - 10*s - 45*s.\nAnswer: -110*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.54304 millennia?\nAnswer: 25543.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/933 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z + 214*z - 1730 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83\/14 + -3\/7. Suppose z + 2991 = -w, 2*z - 3*w + 3003 = z. Let c = z + 12067\/4. What is the common denominator of a and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1584 and 1385424?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 308499*f**3 + 14*f**2 + 6664.\nAnswer: 1850994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 12*s**4 - 64*s**4 - 40*s**4 - 2*s**3 + 27*s**4 to j*s**3 + z*s + q + d*s**4 + c*s**2 and give d.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20662 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o - 56. Suppose 5*j = -6*p - 68 - 11, p - 18 = 2*j. Calculate the remainder when 77 is divided by 28 + (-2)\/(-6)*(j + o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n - n)*(-82 - 38 - 68).\nAnswer: 376*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8 - 5918*d - 926*d + 2. Let r be v(-12). Let c = r + -352138. What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*r + 4*r - 427, -2*r + 4*f = -854. Calculate the smallest common multiple of r and 549.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 810698179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 367 and 116252669993.\nAnswer: 116252670360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a**3 - 10*a**2 - 19*a + 3. Suppose -75*x = -74*x + 3. List the prime factors of h(x).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**5\/15 + f**4\/36 - 2*f**3\/9 - f**2\/6 + f - 3. Let w(i) be the first derivative of n(i). Find o such that w(o) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9936*p + 168896. Calculate j(17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 204643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63193333 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = -3*b, -5 = i - b - 1. Let y be ((-8)\/i)\/((-1)\/(-6)). Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175 or -9342\/53?\nAnswer: -9342\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/240 - b**4\/32 - 5*b**3\/12 - 2*b**2 - 22*b. Solve h(q) = 0 for q.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 121\/4, 1, -83, 4 in ascending order.\nAnswer: -83, 1, 2, 4, 121\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 7*y**2 + y + 10. Let z = -14 + 7. Let q be x(z). Suppose 3*a - 17 = -2*s, -8*s + 5*a + 5 = -q*s. Solve 0*d = s*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 + 22. Let v be x(0). Let c = -18 + v. Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**3\/11 - 8*p**2\/11 - 56*p\/11 - 32\/11 = 0. Calculate p.\nAnswer: -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2571134, 2571154, 2571174, 2571194, 2571214?\nAnswer: 2571234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1081187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 17. Let y(m) = -39 + 0 - 5 - n*m - 21*m. What is the tens digit of y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.35 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 63361560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 1.9. Let n be 280\/(-12)*58\/(-12). Let q = n + -113. What is the smallest value in l, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 78 = 30. Let r(x) = 0*x + 7*x - v*x + 3. Let u(p) = p. Give r(u(w)).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g*g**(-4)))**36 assuming g is positive.\nAnswer: g**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3332*b. Let k(v) = 101*v. What is -98*k(q) - 3*s(q)?\nAnswer: 98*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13263.637 + 13264. Which is the third biggest value? (a) r (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by (186\/(-124))\/(-3 + (-2346)\/(-392) - 3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.382867 + 4.2828405. Let x = -0.9 + j. Round x to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/2)\/((-17)\/(-204)). Let q be (-2)\/(-5) - (1068\/k - -3). What is the third derivative of 113*f**6 - 233*f**6 + 93*f**6 + q*f**2 wrt f?\nAnswer: -3240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011501841 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-51)\/(22\/4*-4) and -23\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -2\/11, -66, -5, -6.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 + -0.85. What is the closest to 1 in -4, -6\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 288792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286609?\nAnswer: 286609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m + 5*v, 0 = -5*m - v + 1 + 3. Suppose -3*h + m = -5*z, h - 3*h - 3*z + 7 = 0. Let s = -2 + h. Solve a - 2*n + 5 = s, 2*a - 5*n + 9 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = y. Let z(h) = -6*h - 3. Determine z(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:46 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 5412*m - 5410*m + 43 = 0, -8 = j - 3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708473625 to the nearest integer?\nAnswer: 26617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2886 - -2885.9997649. Round h to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109037806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111110 (base 2) in base 3?\nAnswer: -121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 0 (c) 710.1 (d) 0.1 (e) 1 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laxcjltajljcxax. Give prob of sequence jtlj.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*k - 6, -k + 5*w = -3*k + 24. Let y(l) = 31*l**2 - l + 2*l - 2*l - 15*l**k. What is the remainder when 46 is divided by y(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 8}. What is prob of sequence oo?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 47633+148.235\nAnswer: 47781.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 12*a**2\/5 + 18*a\/5 - 108\/5.\nAnswer: -2*(a - 6)*(a - 3)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174273 by -3.\nAnswer: 58091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -2\/5, 4, 38 in descending order.\nAnswer: 38, 4, -2\/5, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11894 is divided by 97.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (15\/(-75) + (-68)\/80*-4). Factor 2\/5 - g*x - 2\/5*x**2 + 4\/5*x**3.\nAnswer: 2*(x - 1)*(x + 1)*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841072 is divided by 23857.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138666, -277393, -416120?\n\"Answer: -138727*h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-242)\/(-3) + (-64)\/24 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 45*f**3 + f + 2*f - 48*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227369 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*r**2 - 3*r + 3*r - 1887*r**2 + 626*r**2 in the form u + q*r + t*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5 + 9. Suppose f*a - 4*a = 2*p - 144, -4 = 2*p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -54. What is the smallest value in -0.2, q, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -77*o + 504 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7653)\/(-12) + -1 - (-1)\/4. What is the highest common factor of 98 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/183? (a) 2\/9 (b) -2 (c) 1\/7 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 2. Let f be x(7). Let h(q) = -119*q**2 + 5*q. Let i be h(f). Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2606 - -2683. Is 105 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 24*y + 59 = -55*y + 28*y, -127 = n - 38*n + 5*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6744952*m**5 - 14569283*m**2 wrt m?\nAnswer: 404697120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + b + 53*x + 2817, 4*b + x = -3*x - 196 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 3*q**3 + 4*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3523.6 * 8\nAnswer: -28188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.20696 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -5*f**4\/12 - 7*f**3\/6 - f**2 - 9*f. Let c(p) = 4*p**2 + 6*p + 2. What is 6*c(k) + 5*r(k)?\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**2. Let p(v) = 6*v**2. Calculate -5*p(w) + 2*r(w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(19) + sqrt(38)\/sqrt(2) + sqrt(19))**2 + sqrt(19))*-6 - 4*1*sqrt(19).\nAnswer: -1824 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.5 - 19.5. Let k = -6 + 6. Which is the closest to k? (a) -5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = 1. Let f(s) be the second derivative of s**5\/10 + s**3\/3 - s**2\/2 - 401*s. What is f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -9.5. Let g = a + -1. Let x = 0.02 - -0.38. What is the nearest to 0.1 in x, -2\/9, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 238, -0.5, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 83 = -23*r. What is the derivative of 36 + 24 - 101 + 6 - r*y wrt y?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:52 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/30 and 74\/1089?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310.3 - -310. Let y = 4.6 - 2.6. Sort -0.8, -0.1, z, y in descending order.\nAnswer: y, -0.1, z, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 856231 + 3*t**2 + 1927*t**6 + 2*t - t - 856668 - 4*t**2 - 9120*t**6 wrt t?\nAnswer: -863160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 20, 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 242011\/(-42) - 1\/(-6). Let q be (10000\/(-6))\/(-2 - h\/2880). Round q to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 12*a + 8. What is the remainder when 54 is divided by y(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*g + 1376 = -34*g + 30*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/12)*g**(-18)*(g**15)**(-1\/9) assuming g is positive.\nAnswer: g**(-241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*((sqrt(110) + 1*sqrt(110)*-1 - sqrt(110)) + 3*-1*sqrt(110)))\/(6*((sqrt(90) - 2*sqrt(90))*-1 - sqrt(90) - sqrt(90))).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*z + 0*z = -656, 664 = 3*s + 4*z. Suppose -3*i = 3*f - 240, 3*f + 0*f - 2*i = s. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -200 + -5?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 37. Let o be j(-6). Solve -2*r - 5*z = -0 + o, -4 = -r + 3*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1088) - -6*(sqrt(1088) + 0) - sqrt(1088)) + (sqrt(1088) - (sqrt(1088) + -1)) + -1 + -1)**2.\nAnswer: -480*sqrt(17) + 195845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) + 454\/10. Let q = r - 44. Factor -14\/11*g - 6\/11*g**3 - 4\/11 - 16\/11*g**q.\nAnswer: -2*(g + 1)**2*(3*g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*y = 3, 4*n - 3*n + 5*y + 3 = 3*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2616 + 2025. What are the prime factors of w?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*k - 168, 5*k - 3*i + 2*i - 171 = 0. Let o = -10 + k. What is the remainder when 71 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(28)\/sqrt(4)*6 + -1 + (6*1*sqrt(84) + sqrt(84))\/(sqrt(768) - sqrt(768)*-2))**2.\nAnswer: 151*sqrt(7)\/6 + 161911\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + 4. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-6)*18\/(-15). Put -2, 2, j in increasing order.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3824, 4295, 5104, 6245, 7712, 9499, 11600?\nAnswer: 14009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i + 6. Suppose 4*s = 8, 5*w + s - 5 = -13. Let f be i\/(6\/w) - -4. Which is smaller: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = d. Let k(m) = m**3 - 5*m**2 + 6*m - 5. Let q be k(d). Let i(g) = 2*g**3 + g**2 - 7*g + 3. What is the remainder when i(q) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 21*j + 64. What is w(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4308\/2295 + -2 + 0. Let i = u - -1\/85. Which is the third biggest value? (a) -3 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -364512266*a**3 - 1208*a**2 - 139881*a.\nAnswer: -2187073596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.573km in meters?\nAnswer: 401573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1140*n. Let b(g) = -10*g**2 - g - 1. Let h(m) = -39*m**2 - 4*m - 4. Let z(l) = 4*b(l) - h(l). Determine z(w(p)).\nAnswer: -1299600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028526.\nAnswer: 2, 1014263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-21)*h**(-3\/25)\/h assuming h is positive.\nAnswer: h**(-553\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 1084*d\/3 + 3680.\nAnswer: -2*(d - 552)*(d + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 1429*d - 1418*d + 3, 2*d = -3*u + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/9 and ((-616)\/9 + 16\/12)*(-18)\/(-38256)?\nAnswer: 14346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 718178, 718161, 718142, 718121, 718098, 718073, 718046?\n\"Answer: -g**2 - 14*g + 718193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237 + -95. Suppose -o + q = 4*u, -5*u - o + 178 = -0*o. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -275713722.36.\nAnswer: -275713719.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 203) + 153 - (0 - 116).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131223 (base 4) in base 13?\nAnswer: -b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -542 and 2.7.\nAnswer: -1463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*j = 2*x + 40, 4*x - 72 = -4*j. Let d = 19 - x. What is the third derivative of -3*f**2 - d*f**6 - 66*f**3 + 66*f**3 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*o - 1624 + 1683, -i - 2*o + 0 = 1 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/4)*f)\/f)**(2\/71))**(-41) assuming f is positive.\nAnswer: f**(-41\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -919580 take away -30.7902102?\nAnswer: -919549.2097898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4413 + -4?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-5 - (11 + -11))) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:03 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 2, -3, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let x(i) = -9*i - 6. Let h(n) = 3*n + 2. Let v = -15 + 12. Let d(j) = v*x(j) - 8*h(j). Give f(d(g)).\nAnswer: 9*g**2 + 12*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1256 + 1267. Let w(c) = 4*c - 51 - f*c + 9*c - 2*c + c**2. Let q(i) = i**2 - 3*i + 3*i. Determine w(q(z)).\nAnswer: z**4 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-12 - -18) - (-106 + 52)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - b + 6. Determine u(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 867 - 869.343. Let o = 0.343 + d. Sort o, -21\/13, -1.\nAnswer: o, -21\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 + 7. Let h(q) = 3*q**2. Determine h(d(f)).\nAnswer: 147*f**4 + 294*f**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 4*m**2 - 6*m + 6. Let c(a) = 13*a**3 - 22 + 24*a + 15*a**2 - 12 + 10. Let y(h) = -2*c(h) - 9*t(h). Calculate y(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267 and 24.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(11))*-2 - ((-2*sqrt(88))\/sqrt(8) - sqrt(11))) + sqrt(1584)*-1*1)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 13*p**3 - 11*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1449*j**2 + 42305*j + 8226. Determine c(-29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714702.\nAnswer: 2, 1357351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 - 0.3. Let d = -4.133 + y. Let h = -0.1453 - d. Round h to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o**2 + 18*o**2 + 5*o**2 - 22*o**2 - 27*o**2.\nAnswer: -71*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315597*i**3 - 631476*i**3 + 315916*i**3.\nAnswer: 37*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10162795 + -182.\nAnswer: 10162613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/4 - 213*m**3\/2 - 35559*m**2\/4 + 505791*m + 36743949 = 0.\nAnswer: -66, 69, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**3 - 4*j**3 + j**3)*(4 - 4 + j)*(-3 - 4 - 44) to the form u*j**3 + n*j + s*j**4 + c + m*j**2 and give s.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88232.\nAnswer: 2, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407196220 by -21431380.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16306 = 61*v - 92*v. List the prime factors of v.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z - 4*q + 56, -q - 41 = -2*z. Suppose -5*o = -13 - z. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + 5*u**2)*(-18 - 11 + 12) + 1 - 1 - 2*u**2 + (-2 + 2*u + 2)*(-6*u + 5*u - u).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {w: 1, a: 1, f: 1, h: 1, q: 1, v: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 543 + -152. What is the remainder when f is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 + 120. Suppose -l*r - 5 = 2*h - 4*h, h - 3 = 3*r. Which is greater: r or 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706 + 713 - 8*h + 705 + 4*h - 2125 + 38*h.\nAnswer: 34*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(104)\/((sqrt(80) + 2*sqrt(80))\/sqrt(10)) + (6*sqrt(117))**2*2 + -4.\nAnswer: sqrt(13)\/3 + 8424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/12*4\/(-7)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let t(i) be the first derivative of i**6\/660 + 9*i**5\/55 + 81*i**4\/11 + 5*i**3\/3 + 3*i**2 - 155. Let g(d) be the third derivative of t(d). Factor g(z).\nAnswer: 6*(z + 18)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(9\/336)*(-115)\/((-31395)\/78)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/440930 and 59\/5618?\nAnswer: 1238572370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59bc0b (base 14) in base 11?\nAnswer: 1805656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1 - (51 + -76 - (2 + 10))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -8. Which is the third biggest value? (a) 4 (b) -2\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:18 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 42. Is i greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1829\/4032 - 29\/576. What is the common denominator of l and -8\/15?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040291017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 3\/4*c**4 + 0*c**2 + 0*c - 3 - c**3. What is the third derivative of d(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -21*l. Let r(y) be the second derivative of 0 - 2*y - 1\/6*y**4 + 0*y**2 + 0*y**3. What is r(u(w))?\nAnswer: -882*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787365535?\nAnswer: 5, 11, 14315737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2723\/4983 - -9\/151. Let f = -3\/11 + y. Determine b so that 1\/3 + b**2 + f*b**3 + b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(2\/(-7) + 99\/252*2). Let t(i) be the second derivative of 6*i + k*i**2 - 5\/6*i**3 + 0. Let j(d) = -4*d. What is t(j(f))?\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -r, -80*r + 2*q = -76*r - 2. Solve -y = 4*i + r*y - 9, 3*y + 9 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -851903478*n**4 + 86714790*n wrt n?\nAnswer: -10222841736*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -25. Let k be ((-2)\/6)\/((-6)\/j). Let c = k + 9. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2\/3 - 6428*s - 543088\/3 = 0.\nAnswer: -28, 4849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - c65236?\nAnswer: -c6523a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4039 (b) 30 (c) -1\/3 (d) 154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/324)\/(-2*1\/(-3)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -11. Suppose 0*w - 4*w + z + 4 = 0, 4*z = n*w + 10. Let x = 33 + -21. Solve o + 5*u = w*u - x, o + u + 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 364\/1183 + (-640)\/52?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 12*b + 14. Let l be a(-12). What is the greatest common factor of l and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d - 47*d - 375 = 0. Let v = d - -176. What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.99, 1\/2, 1 in ascending order.\nAnswer: 1\/2, 0.99, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 511 (base 6) to base 2\nAnswer: 10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -9341*u + 2 + 9335*u + 12. Let w(g) = g + 2. Let s(i) = -3*r(i) + 21*w(i). Let d(t) = 3*t. Determine s(d(k)).\nAnswer: 117*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d**5*d)\/(d**1)**(-2\/3) assuming d is positive.\nAnswer: d**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l - 5. Let q(g) = -g**l - g**2 + 3*g**2. Let v(h) = -39 + 22 + 17 - h. Calculate q(v(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89366*l**3 + 89362*l**3 - 8 - 3 + 2 + 9.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.16 and -0.7?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**3 - 6*f**2 + 4*f. Let n(l) = -l**3 - l**2. Let p(b) = m(b) - 4*n(b). Factor p(x).\nAnswer: -2*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2632\/(-282))\/((-56)\/210).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 232 + 605 + 340.\nAnswer: -3*i + 713","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 - 5*w**2 + 2*w + 7. Suppose -12 - 13 = -5*n. Let d(j) = j**3 - 2*j**2 + j + 3. Let y = 9 - 11. Give n*d(t) + y*s(t).\nAnswer: -t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 353 - -52777?\nAnswer: 53352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 2 + 1 + p**2 - 3*p. Let k(o) = -2*o**2 + 32*o - 60. Let s be k(14). Let c be r(s). Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -10*p. What is the highest common divisor of 19 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43860.60529 rounded to the nearest 10?\nAnswer: -43860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Find the second derivative of 0*k**f + 2*k - 2*k**4 + k wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 7*c - 3*c - 9, 10*c - 5*c + 36 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(12)) + sqrt(3))*-3 - ((sqrt(48))**2 - sqrt(3)).\nAnswer: -48 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-63) - (-508)\/18. Let q = a - 2. Let n be -2*(-2)\/(-2)*-91. Calculate the greatest common divisor of n and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2270\/1362)\/((1\/(-1))\/6)*2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + sqrt(475) + (sqrt(475) - (4 + sqrt(475))**2) - sqrt(19))*6.\nAnswer: -2946 - 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119.3114 + -0.0886. Let w = -91 - o. What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 20 = -10*f. Let c be (2 - 1)*4 - 0. Suppose -c*h = -0*h - 20. Sort f, h, -3 in descending order.\nAnswer: h, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19844060 rounded to the nearest one hundred thousand?\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30235 - -3462.72?\nAnswer: -26772.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from ooooxomxoxxfxox?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 5*k - 6, 4 = 2*i - 2*k. Let g(p) = 6 - 2270*p + 2264*p - 5*p**2 + 8*p**2. Calculate g(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6976 - 567.14373?\nAnswer: -7543.14373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108530?\nAnswer: 2, 5, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + -9 - (3 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19562550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(153) + 0) + (6*-1*sqrt(153) - (sqrt(153) + -2 + sqrt(153) + sqrt(153))*6))**2 + 4.\nAnswer: -2244*sqrt(17) + 74345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11522664 + 29995664. What is c rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) 1.7 (c) 0.9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f - 3. Calculate the least common multiple of 4 and z(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 - -80. What is the first derivative of -1 - c - 30*u**4 + 36*u**4 wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242986357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*j + 443 - 22 - 21 - 147 - 13 in the form f*j + r and give r.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172084 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*r + 4*u + 11, -3*r - 5*u = -25. Let j(s) = -s + 3. Let w be j(-4). Let l = r + w. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6013899.93899941 + 6013900. Let d = -0.121 + 0.06. Let a = d + o. What is a rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 141472.\nAnswer: -5658.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/34551 and 95\/4356?\nAnswer: 1520244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -5*w + 40, 25 = -5*u. Is 12\/1 - (-2 + w) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 38. Let k(l) = -l**2 + 13. Calculate -14*k(s) - 4*z(s).\nAnswer: 2*s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -137, -141, -139?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {d: 2, w: 10, b: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 225*j - 1116. What is b(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*k - 16*k - 16. Suppose -q + k = -11. Calculate the smallest common multiple of 27 and q.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/((-2550)\/25))\/(4\/((-8)\/(-9)))*-2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -4, -3, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -16159*p - 169. Let i(r) = 577*r + 6. What is 169*i(b) + 6*j(b)?\nAnswer: 559*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7431.51mm?\nAnswer: 7.43151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:57 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1542)\/(-9))\/((-19)\/(342\/(-12))) is divided by 89?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-228)\/(-18). Let z = -18 + d. Is 4 + 302 - z*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (1 - 25 - (222 + -263))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 209678921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -190141 < -190141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 18581*w**2 - 115*w**3 + 8928*w**2 + 9133*w**2 + 1540*w.\nAnswer: -5*w*(w - 2)*(w + 11)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 3. Suppose 4*k - 30 + 10 = 0. Let d(c) = 5*c**2 - c - 3. Let w(z) = k*d(z) - 6*b(z). Suppose -15 + 6 = -3*l. Calculate w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21715 by 35758.\nAnswer: 21715\/35758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12902, 25\/21, -1?\nAnswer: 12902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (47712\/77)\/2 + (-2)\/(-11) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 591*h + 39302 = 290*h for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - 0 - (8 - (28 - 23)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(252224\/16814 + -15) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 118826.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 3*n**2 + 2*n + 3. Let s be m(-3). Put s, 0.5, -0.2, -0.1, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.5, -0.1, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -3\/8 (b) -5 (c) -3\/19 (d) 1 (e) -0.038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {m: 1, q: 1, n: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -19.01.\nAnswer: 5.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 1. Let r(g) = -2*g + 9. What is r(t) - 3*y(t)?\nAnswer: 7*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 65\/7 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0, 0.3, 3 in descending order.\nAnswer: 3, 0.3, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1696.86 - -14.86. Let m = o - -1702.61. Let y = m - 21. Round y to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301683 + 24*j**2 - 4*j**3 + 301683.\nAnswer: -4*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 5*z**2 + 5*z - 4. Let p = -76 - -70. Let c be h(p). Suppose 3*x - 745 = -c*x. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -163616, -327276, -490928, -654572, -818208?\n\"Answer: 4*s**2 - 163672*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161965, 323924, 485877, 647824?\nAnswer: 809765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 28 = 6*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 132. Let g be h(0). Let t = -78 + g. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5)*2 - ((sqrt(176))**2 + -4).\nAnswer: -172 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1403 + 8?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*f = -i - 25, 5*i = -5*f + 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 - 20*z + 2. Let c(j) = -j**2 + 2*j + 1. Let i(q) = b(q) - 2*c(q). Suppose i(u) = 0. What is u?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184210395 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -2. Let h = -34 + f. Put h, -8, -1, -2 in increasing order.\nAnswer: -8, -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7017\/1064245*56\/12\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1253 - -343.3747. Let m = -321.436 + u. Let y = m - 22. Round y to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 5701\/60. Let j(b) be the second derivative of 0*b**2 + b + 0 - 1\/30*b**3 + t*b**4. Suppose j(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 42 - 1 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h + 12670 = 75*h - 7294. Calculate the greatest common divisor of 992 and h.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -3*t, -2*t = -7*t + u + 10. Suppose 0*j + 38 = 3*v + 5*j, -t*j - 52 = -5*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -59*z + 167 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12871437.05 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -19. What are the prime factors of -8*-2*(-52)\/m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 88\/3 of a week?\nAnswer: 4928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9221 - -0.3.\nAnswer: -0.6221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0037489 + -2959.24\nAnswer: -2959.2437489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:06 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 26 = 4*m, 2*g - 4 + 6 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((0 + -1)*-2). Suppose -q*h = -2*l - 6, -4*h + 5*l = -2*h. Let p = 78 - 23. Solve 5*x = h*r + 35, -5*r - p = -4*x - 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:00 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (543*h**3 + 75240 - 75240)*(162 - 12 - 2) + h**3 - 3*h**3 + 0*h**3.\nAnswer: 80362*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 9182 = -5*x - 9167, -q - 18*x + 77 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.968 + 0.258.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 111, 205, 331?\n\"Answer: 16*f**2 + 14*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103, 90, 77, 70, 75, 98, 145?\n\"Answer: a**3 - 6*a**2 - 2*a + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p - 2. Let i(y) be the first derivative of -y**4\/4 + 13*y**3\/3 + 7*y**2 + 13*y - 1. Let d be i(14). Suppose -9*t = -d*t + 20. What is a(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122238 and 444?\nAnswer: 9045612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 2270*r - 53903. Calculate y(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3222 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47271 + 191*f**2 - 47271 - f)*(-8*f + 5*f + 2*f + 4*f + 0*f - 3*f + (0*f - 2*f + 4*f)*(1 - 2 + 2)).\nAnswer: 382*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16570, -16649, -16858, -17263, -17930?\n\"Answer: -11*c**3 + c**2 - 5*c - 16555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100255 (base 6) to base 16.\nAnswer: 1ecb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1128071568 by -6.\nAnswer: -188011928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 179556 = -3*k + 11*k. What are the prime factors of k?\nAnswer: 13, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*sqrt(110)*3)\/sqrt(10) + -4)**2*4.\nAnswer: -1440*sqrt(11) + 89164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-306))\/((-219)\/1971)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 - v**5 + 0*v**4)*(-6 + 2 + 1).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msg when three letters picked without replacement from ggmnsmanmnh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 928*k**3 + 191*k - 10 + 171*k - 351*k. Does 50 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*j. Let l be (j - 4\/8)*-2. Suppose 3*x - 3 = l. Which is bigger: 10\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u + 0*u - u)*(5*u - 3*u - 3*u) + 0 + 0 - 3*u**2)*(4*u + 1 - 5*u - u).\nAnswer: 8*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2175213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.094 - -15.394. What is the nearest to -2 in j, -1, 0.494?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omrrrtttogrrgrtroroo. Give prob of picking 1 o and 3 t.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 117*a + 357 - 1527 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3634 + -39984\/11. Let x = 6 - 8. Put g, x, 5 in decreasing order.\nAnswer: 5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-220)\/(-30))\/((-4)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089698292 rounded to 3 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97365*x**2 - 88238?\nAnswer: 194730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1114, -2277, -3460, -4663, -5886, -7129?\n\"Answer: -10*q**2 - 1133*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-2*-5)\/(3*sqrt(36)\/sqrt(3)))**2 + 2.\nAnswer: 1718\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 350 and 353 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 693, 2, -10, 4, 26 in descending order.\nAnswer: 693, 26, 4, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 + 8*z - 4. Let x be t(7). Let y be x*(-2 + (-8)\/(-6)). Let o = 8 - y. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 2, h: 4, v: 2}. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 15*h + 34*h**3.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59084672159167\/130 - 454494445520. Let j = l + -3032606. Let f = j - 594\/65. What is the common denominator of -7\/4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10700 by 1077.\nAnswer: -10700\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 1978590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1377) - 2*sqrt(1377))*6 - (0 + sqrt(1377) + -5))*-1)**2 + 0 + 3.\nAnswer: -5670*sqrt(17) + 607485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 50 (c) 1\/2 (d) 1\/9 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/15 + 116*c**3\/3 - 1166*c**2\/15 + 584*c\/15.\nAnswer: 2*c*(c - 1)**2*(c + 292)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -3*w**2 + 52. Let g(y) = -21*y. Calculate h(g(v)).\nAnswer: 126*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*m + 16 = 4, -6 = -2*k - 4*m. Let p(l) = 8*l**2 + 695*l - 699. Let j be p(1). Solve -2*r + k*q = -10, j*q + 0*q - 25 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 8:15 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9290000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*y + 7. Let w be (-10)\/((y\/(-14))\/4). Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 4. Calculate v(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/20 - t**4\/12 + 30*t**2 - 90*t - 10. Determine b(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -7, 1, -1357, -3.\nAnswer: -1357, -7, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:53 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(17 + -21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78864 is divided by 166?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1300*k + 3*a = 1305*k - 47, 5*k = 5*a + 65. Determine b so that 20\/3*b**3 + 16*b**2 + 2\/3*b**k + 14\/3 + 44\/3*b = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 49*x**6\/24 + 721*x**5\/10 + 1733*x**4\/2 + 10180*x**3\/3 - 3350*x**2 + 1000*x - 21. Let h(c) = 0. Calculate c.\nAnswer: -10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30 = h, 0 = -r + 2*h - 10 - 5. Let s = 11 + r. What is the remainder when 17 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + (sqrt(136) - 1*sqrt(136)*-4)\/sqrt(8)*6)*-1)**2.\nAnswer: 180*sqrt(17) + 15309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -280 + 75. Let r be (-5 - -3)\/((-3)\/(-519)). Let i = b - r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736 = 188*i + 880 - 488 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16165 divided by 53\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - k**3 + 5*k**2 - 5*k**2)*(-1 - 7 + 1)*(1 + 1 - 1).\nAnswer: 7*k**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79031582.\nAnswer: 2, 7, 5645113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 + 529388*l\/3 + 352928 = 0 for l.\nAnswer: -2, 264696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.482 + 1.88. Let o = y - -0.102. Which is the nearest to -3\/2? (a) o (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 6:52 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -1615, -5466, -12969, -25342, -43803?\nAnswer: -69570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.7565 + 1.0865. Let o = -0.33 + v. Let k = o - -56. Sort 0.3, k, -3 in decreasing order.\nAnswer: k, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2123 - 503. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30677160 or -153385801\/5?\nAnswer: -153385801\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 422*t - 3987. Let s(z) = -1265*z + 11966. Let y(q) = 11*k(q) + 4*s(q). What is the derivative of y(n) wrt n?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*m**2 + 55*m**2 - 18*m**2 to g + u*m**2 + b*m and give u.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*v = 10, 2*l + 3*v + 6 = 28. Let d(c) be the first derivative of 1\/3*c**l - 13 + 1\/9*c**3 - c. Factor d(f).\nAnswer: (f - 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -2*q + 2*b, -2*b - 239 = 4*q - 669. Calculate the remainder when q is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17*p**2. Let f(c) = -c**2 + 7*c - 7. Let y(v) = v**2 - 5*v + 5. Let l(k) = -5*f(k) - 7*y(k). Give l(u(s)).\nAnswer: -578*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.4 + -1.4. What is the biggest value in o, 2, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, r: 2, y: 8}. Give prob of sequence rtr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liuxpihxp. What is prob of sequence xh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 3 + 4 + 0)*(2455*j**2 + 2244*j**2 - 71*j**2) in the form z*j + d + i*j**3 + c*j**2 and give c.\nAnswer: 4628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-256))\/(1*4\/(-96))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -667, -3, -0.2, 11, 1?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 766973 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000324981 rounded to seven dps?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t. Let d be h(-3). Let o(a) be the third derivative of -1\/36*a**3 + 0*a + 4*a**2 + d - 5\/72*a**5 - 5\/72*a**4. Factor o(n).\nAnswer: -(5*n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4 - 4. What is the third derivative of -2*m**2 - 2*m**6 - m**2 + 0*m**x + 0*m**4 wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 5*o + 1. Let r be c(-6). Suppose -10*f - 3*f - 195 = 0. Let n be (f\/18)\/(0 + r\/3). Do 3 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 17 = -12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-4)*(-4)\/3. Let a be (-254)\/(-10) + s\/(-10). What is the tens digit of a + (-2)\/(-8)*0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.18 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from yynynyyyynyy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 48 = 36. What are the prime factors of f\/4*24\/9?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -261*q - 8604 + 2208 - 6132 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 44 = -4. Let v(h) = -h**3 + 3*h + 4. Let o(n) = 3*n**3 - 8*n - 11. Give l*v(w) + 3*o(w).\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 13, 32, 57, 88?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0251727716996 + 4\nAnswer: 3.9748272283004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 2*i**3\/3 + 249*i**2 - 500*i + 1015. Factor m(l).\nAnswer: 2*(l - 1)*(l + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from curcqcfcrcccyyq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1584 divided by -16\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 11\/((-44)\/(-16)). Let o be (-6)\/((-6)\/f) - -4. Solve -i = -0*i + o*h + 11, -1 = 5*i - 3*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o\/o**(14\/5)*o*o)\/o))\/o*o**(-16))\/(o**(-2\/51)*o*o**(-1\/3)*o) assuming o is positive.\nAnswer: o**(-4036\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255\/7 or -36?\nAnswer: -255\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1023424?\nAnswer: -1023431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**4 + 9004*l**3 + 9092*l**2 - 188988*l - 405360 = 0.\nAnswer: -3, 5, 2252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2152 and 17885.\nAnswer: 38488520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -0.12 (c) -3\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 27330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 c, and 1 g when three letters picked without replacement from {o: 11, t: 1, c: 2, g: 1, u: 1, n: 3}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-8)\/(-2))\/(-1). What is the nearest to l in -4, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 5*o**2 - 4*o + 16. Let v be w(-6). Let p = 86 - v. Calculate the common denominator of (91\/(-504))\/((-3)\/p) and 121\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-7)\/(35\/(-20)). Let q be (-9)\/(-90)*t\/37. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z + 2*z. Find the third derivative of 2*k**2 + 0 + 2 - z + 2*k**3 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 80*x + 428. Let f be g(5). Solve 4*u + 2*s + 6 = 0, f*s - 7 = -3*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1147, 3759, 6371, 8983, 11595, 14207?\n\"Answer: 2612*l - 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 40, 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 14*t**4 - 21*t**3 - 216*t**2.\nAnswer: -t**2*(t - 9)*(t - 8)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {d: 3, v: 2, y: 4, i: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150207 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011000011 (base 2) to base 14.\nAnswer: -17c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -80943.\nAnswer: -5666.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and 1675.\nAnswer: 1675.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gznggnngngggggnng. Give prob of picking 3 g.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2502 - -4469. What are the prime factors of s?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - w**2\/3 + 4*w\/3 + 4\/3.\nAnswer: -(w - 2)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1387 + -0.1387. Let m = 31 - 32. Sort f, m, -1.1 in increasing order.\nAnswer: -1.1, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/1 - (2 - 0). Let p be 72\/7 - 4\/t. Let r(u) = -u**2 - 9*u + 5. Let a be r(-9). What is the highest common factor of a and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3101, 12496, 28155, 50078, 78265?\n\"Answer: 3132*b**2 - b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1734*n**3 - 136*n**2 + 4*n + 393*n**3 - 6*n + 3822*n**3 + 133*n**2 - 3 wrt n?\nAnswer: 35694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -9. Let d(c) = -34*c**3 - 2*c**2 - 2*c - 3. Is d(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266696421 = -455*q + 52718584. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 3 - 3*p - 2*p. Let t(j) = j**2 + 6*j - 19. Let h be t(-8). Let g(a) = a - 2. Let f(x) = h*d(x) - 5*g(x). What is the derivative of f(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*s + 39*s - 28*s + 25*s to the form a*s + l and give a.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 329, -5, 7 in increasing order.\nAnswer: -5, 7, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2. Let b(g) = -661326*g**2. What is x(b(p))?\nAnswer: 874704156552*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917 to the power of 1\/2, 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 6:22 PM and 4:52 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 245*p + 1554. Calculate t(-251).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + 4\/(16\/(-4)) - 2. Let m(j) = -b + 2*j + 19 - 13. Let l be m(2). Solve -r - 1 + 3 = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 3. Let x be k(-5). Suppose -l + 1 = -x. Calculate the lowest common multiple of l and 3*3*(-23 - -24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + -53 + 71 + -51 + 6?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*v + 118*v + 37*v**2)*(1 + 2 - 2*v - 10).\nAnswer: -74*v**3 - 259*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44\/3*z - 16\/3*z**3 - 16\/3 - 2\/3*z**4 - 14*z**2 = 0. What is z?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*f - 9*f**2 + 285*f + 10*f**2 + 7*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/653, 19, -3?\nAnswer: 2\/653","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q - 413. Give o(28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/96282 and -97\/5166.\nAnswer: 27632934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 12*u + 25. What is d(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 42*d + 11. What is the hundreds digit of m(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 9 + -22 + -39 + 27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20390*r**5 + 2228*r**2 + 9*r + 2 wrt r?\nAnswer: -1223400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42381, 42399, 42417, 42435?\n\"Answer: 18*y + 42363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((126\/910)\/((-12)\/(-10))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = -3*y - 22, 5*q = 3*y + 23. Let o(x) = -x**2 - 7*x - 5. Calculate o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 1. Let a be f(1). Suppose a*y - 23415 = 2*n - y, -3*y + 58509 = -5*n. What is n rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2813 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(2\/169) assuming x is positive.\nAnswer: x**(1\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53\/3 + 17. Let n(p) = p**2 - p + 2. Let b be n(-2). Let d be ((-5)\/10)\/((-2)\/b). Is g less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7.26 (b) -6 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 4) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31475167 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -134803.\nAnswer: 53921.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 35 + 10. Suppose 0 = 4*l - f*l + 5*k + 25, 3*l + 5 = -k. Factor l + 2\/5*z**2 - 2\/5*z.\nAnswer: 2*z*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*a + 8. Let f(u) = -u**2 + 6. Let o be f(2). Solve -v - o*v = -a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 30.\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 487273245 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + v**5 - 2*v**5 + 2*v**5 + v**5 - 4*v**5 + v**5 - v**2 + v**2 + (-v**4 + 3*v**4 - 3*v**4)*(3*v + 2*v - 3*v).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -146241\/10 (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/13 + 7782*x**2\/13 + 8*x\/13 - 31128\/13 = 0. Calculate x.\nAnswer: -2, 2, 3891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*h**3*i**2 - 397*b*h**2*i**3 - 2*b*h**2*i + b*i + 2*h**4*i**3 + 37*h**4 wrt h?\nAnswer: 24*b*i**2 + 48*h*i**3 + 888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q + 11. Calculate w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -a + 14, 0*a - a + 80 - 81 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/(-63)*(-402)\/2345?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2. Let b(z) = 0*z + 3*z + 2*z + 2*z. Let o(q) = 36*q. Let j(m) = -16*b(m) + 3*o(m). Calculate f(j(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25735, -841.\nAnswer: -25735, -841, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaacaaaaaaaaaaa. What is prob of picking 1 c and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -84321\nAnswer: -505926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2 (c) 26 (d) -286 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - 9) + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11043001 (base 5) in base 14?\nAnswer: -272dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-30)\/2)\/5)\/(1 + 0). Is w less than or equal to -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (4*(sqrt(36)\/(sqrt(432)*2) + 2 + -5))**2 + -5.\nAnswer: -8*sqrt(3) + 415\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-54)\/(-40)) + 22\/33?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.48 - -0.52. Let z = 151 + -122.8. Let o = z - g. Which is the second smallest value? (a) o (b) 0.5 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*a**5 - 2*a**5 - 6*a**5 + (-2*a + 2*a - a**3)*(a**2 - 3*a**2 + 4*a**2) + 3*a**5 + 12*a**3 - 12*a**3.\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98\/3 - 32. Which is the nearest to v? (a) 1 (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1 - 106\/4). Let s be (t\/165)\/((-1)\/(-3)*1). Suppose 4*n - 5*x = 13 - 5, 0 = -n - 3*x + 2. Solve 3*j = 4*i + 25, n*j + i - 1 = s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/(-6)*(-30)\/(-4). Let d = -41 + a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from tpttfppaaaazttt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svvw when four letters picked without replacement from uwvstvvvuww.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 633300539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -18*p**2 - 214. Determine h(0).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 37*f**2. Let p(r) = -7*r**2. Calculate v(p(c)).\nAnswer: 1813*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -527 + 483. Let v = 31 + 13. Let y = h + v. Which is the closest to -0.1? (a) 0.5 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 81*u. Let g(h) be the first derivative of h**3\/3 + 738. Calculate i(g(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, s: 8, a: 5, z: 2}. Give prob of sequence aaaa.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpttgtttg. Give prob of sequence gcgt.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(w**3 - w**3 - 3*w**4) + (0 - 1 + 4)*(2*w**4 - w**4 + 0*w**4).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759660*z = 761030*z - 90420 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20 and (-16591)\/11040 + (-1008)\/(-672).\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60427 by 2.\nAnswer: 60427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 5.2?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 + 5. Let f(s) = -7*s**2 - 6. Let o(a) = a**2 - 6*a - 1. Let m be o(7). Suppose -m*y + 2 = -28. Let d = 168 - 162. Give d*i(h) + y*f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 154063220 divided by -5\nAnswer: -30812644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7247049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 12:20 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**4\/3 - 837*v. Let m(i) = 78*i - 2. Calculate c(m(u)).\nAnswer: -24336*u**2 + 1248*u - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 354 + -174. Suppose 0 = 53*u - 59*u + l. Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = y + 1607, 5*y = -2*x - 6435 - 1597. Let l = -959 - y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -1965, -6261, -14657, -28521, -49221?\nAnswer: -78125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 3.66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**2 + l**3 + 3*l**3 - 16*l**4 - l + 43*l**4 - 42*l**4 to a*l**4 + w*l**3 + h*l + k*l**2 + x and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13 + 5 - -6)\/(-2*1\/26692).\nAnswer: 2, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2655426*g**2 - 2261217 wrt g?\nAnswer: 5310852*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5\/15 + 4504*j**4\/15 + 8986*j**3\/15 - 31492*j**2\/15 + 1200*j = 0.\nAnswer: -2250, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -9*j - 300. Let o = -0.5 + 1.5. Put o, j, -5 in decreasing order.\nAnswer: j, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 9*q - 60 = 0. Suppose 4*a + 1 - 21 = 0. Suppose t + 4*t + i - 20 = 0, -a*i = 3*t + 10. What is the smallest value in q, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2526029 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 - 228. What is the remainder when 41 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.2 (b) 45 (c) -0.3 (d) 1\/50 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 176*v - 35. Is j(5) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1090802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -b, -6*b + b = -25. Let z(a) = a**3 - a**2 - 11*a - 6. Let v be ((27\/(-3))\/(-36))\/(1\/16). Let d be z(v). Sort d, r, -3 in decreasing order.\nAnswer: r, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29355 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -633*o**4 - 2*o**3 + 44*o + 231*o**4 + 219*o**4 + 230*o**4 wrt o?\nAnswer: 564*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 411\/50 + -28901\/3300. What is the common denominator of 607\/(-420) - (2192\/274 + (86\/(-5))\/2) and n?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 9. Suppose -3*v - 5*i + 25 = 0, 0*i = -5*v - 5*i + 25. Let k be v\/(15\/(-12) + 6\/(-8)). Give g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -421*q - 7851. What is a(-18)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*n - 3*o, -3*n + 118 = 2*n + o. Let p = -29 + n. What is the units digit of (p\/27)\/((-7)\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286*b**2*s**3 - 153*b**2*s + 4*s**2 wrt s.\nAnswer: -1716*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 57*z**2 - 512*z. Let j(k) = -2*k**3 + 58*k**2 - 512*k. Let i(l) = 6*h(l) - 7*j(l). Let i(o) = 0. What is o?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -294*c**3 + 2*c**2 + c + 3. Is f(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 0*z - 10*z + 44*z.\nAnswer: 34*z - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3195 + 16a6?\nAnswer: -16ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1050, -2091, -3122, -4137, -5130, -6095?\nAnswer: -7026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + m - 22 = 0, 468*m - 184 = -a + 438*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 1. Suppose 60 = -127*k - 25*k - 244. Let b(v) = -v + 3. What is k*f(u) + b(u)?\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(6\/(-1) - (-940)\/170)\/2?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 6*d**2 - 8*d + 7. Suppose 11*u - 12*u = 3*k + 5, 0 = 2*u - k + 10. Determine s(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f. Let j(u) = -1898*u**2 + 2*u - 5. Determine j(k(s)).\nAnswer: -47450*s**2 - 10*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3240 by -324.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y = 373*y + 305*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2833 - -0.2833. Which is the nearest to 2? (a) 62 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, -95 in ascending order.\nAnswer: -95, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -2. Let k be 1\/(-3) + 3720\/u. What is the tens digit of k\/28 - 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3343 (base 6) to base 16.\nAnswer: -30f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 61. Let a be 20*((-36)\/16)\/g. Let v(r) = -1. Let i(w) = -w - 2. Let l(s) = 4*i(s) - 12*v(s). What is l(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 107*t**2 - 192*t + 528. Calculate g(-51).\nAnswer: -2685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/1*9495\/(-8862)*4\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - 4. Let r(a) = -2 - 2 + 10 - 2 - 5. Give m(z) - 4*r(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15407 - 13202. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwwwwwxwwwww?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - 1*(sqrt(245) + -4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from kkmya.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2829*b + 2845*b. Solve b*t + 16 = 5*y, 4*t + 6 = -3*y - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 0, 214 in increasing order.\nAnswer: 0, 87, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2079\/23216 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 6. Suppose 0 = -31*f + 28*f + 1458. Let o be 4\/18 - (-9)\/(f\/(-66)). Sort o, y, -8 in ascending order.\nAnswer: -8, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -202. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1015 + 20641?\nAnswer: 21656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -94245962 to the nearest 100000.\nAnswer: -94200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153.11 + -0.23.\nAnswer: 152.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, t: 4, v: 1, g: 4, m: 1}. What is prob of sequence ft?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 - -336.4. What is the third biggest value in -4, t, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386 (base 12) to base 11\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**12\/(((u*u**(-1\/20))\/u)\/u) assuming u is positive.\nAnswer: u**(261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 435 = 223. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 - 2*i + 2. Let f be l(2). Let s be (-2)\/(-3) + f\/6. What is the first derivative of -4 + 2 + 5 + s*r wrt r?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(32))**2 + (2*sqrt(200))**2 - (sqrt(450)*3)**2.\nAnswer: -3217 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5943656898 to the nearest integer?\nAnswer: 77095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + k**2 - 3*k**2 - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.4 (b) -1\/4 (c) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -5*c**4\/24 - c**3 + 3*c**2. Let h be m(-5). Let r = 44 - h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 255\/35 - (-4)\/(-14). Let h = p + -2. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30150 and -30150 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(3\/2)\/(g*g**(-17)*(g*(g\/g**16*g)\/g)\/g) assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 + 575 + 726 - 2*y**2 - 274 to the form u*y**4 + r*y + b*y**2 + v + x*y**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2430))\/(sqrt(10) - (2*sqrt(10)*4 + sqrt(10))))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -1715\/4 - 12705\/4*q**2 + 8085\/4*q + 6655\/4*q**3 = 0.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.88. Let v = w - 3.12. Let o = v + 2.8. What is the third biggest value in 1, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.79 + 19.19. Round k to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.57 - 0.17. Suppose -6*o = -3*o. Which is the smallest value? (a) 2\/7 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -7)\/(-3) - 2. Suppose 0*x + 4*x - 16 = u. Let g be 2 - x\/(12\/(-291)). Calculate the highest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2*o**5\/65 - o**4\/2 + 62*o**3\/39 + o**2 - 60*o\/13 + 2251. Suppose r(l) = 0. Calculate l.\nAnswer: -15, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from eujetujjmjutnnu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(15))\/sqrt(5) - (2 + sqrt(12)\/sqrt(4)))**2*-3.\nAnswer: -48 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + -51 + (-10 - -20) + -11.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 3*w + 22 - 13, -2*s = 2*w + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 11*x - 7. Calculate m(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2484 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 233819\/2628 + 1573\/85140?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 23 - 15 - 7)*(12 + 20 - 12) + (1 + l + l + 1)*(34 + 96 - 15) to the form v*l + t and give t.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by -88460.\nAnswer: 252\/22115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1250, -1415, -2034, -3335, -5546?\nAnswer: -8895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.4, 1\/7.\nAnswer: 1\/7, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 e, and 1 h when four letters picked without replacement from zqqqeqhzzqqzqzqhhz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56384*q - 109925*q + 126035*q + 128342*q.\nAnswer: 200836*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*p**2 - 2429*p**2 - 2033*p**2.\nAnswer: -5252*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 72808550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-25 - (-7 + (2 + -2 - (0 + -5))))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 7, e: 10, y: 1}. What is prob of sequence gy?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -2\/9 (c) -6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 15*l + 111. Let y(v) = -4*v**2 + 49*v + 334. Let z(m) = 7*n(m) - 2*y(m). Is 24 a factor of z(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9929 + 458?\nAnswer: -9471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806*l = 3*x - 1810*l - 40, -5*x - 8 = 4*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 56\/17*j - 26\/17*j**2 - 162\/17*j**4 - 252\/17*j**3 - 8\/17 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-56))\/((-29)\/(-464))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-395)\/(-632)*(-12)\/70*(0 - 2).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 14 + 2 = k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4332089.\nAnswer: 4332089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -80. Suppose 0 = 13*u - 9*u - f. What is the third derivative of s**2 - 6*s**2 + 19*s**u - 3*s**4 - 2*s**2 wrt s?\nAnswer: 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(9*g**3 - 47 + 47).\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1\/3*s**3 + 0*s**2 + 3 + 3*s. Let h(f) be the first derivative of l(f). Let b(c) = -2*c**2. Calculate b(h(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4994 divided by -2\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 50 = -5*d, 30 = 4*p - 3*d - 33. Let j(s) = -25*s - 11. Let q be j(-3). Suppose -41 - q = -t. What is the greatest common divisor of p and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 11.82, 4\/95, 4 in decreasing order.\nAnswer: 11.82, 4, 4\/95, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 - 75 - 100 + 5*m.\nAnswer: 5*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675696 divided by 56.\nAnswer: 12066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 347.9 + -349.9. Sort -0.3, -0.1, 0.5, h in increasing order.\nAnswer: h, -0.3, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363314 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o - 34. Let f be (-4)\/(-5)*85\/34. Suppose f*m = 4*i - 7*i + 15, 5*m - 15 = 0. Calculate the remainder when z(-3) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 12)\/(-3)*47\/235?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 465 + 9596?\nAnswer: 99fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -82962 (base 14) to base 11\nAnswer: -1a5460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 331*w - 3961. Give s(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -368005?\nAnswer: 3680.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose -179 + 197 = -6*d. What is the nearest to t in 0.3, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -792046.\nAnswer: 1\/396023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.8 - -13.9. Let a = -0.04 + 7.04. Let g = o - a. What is the nearest to 0.1 in 2\/3, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.36 (b) -0.5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/10 + 37*k**2\/5 + 333*k\/10 - 819\/5 = 0.\nAnswer: -7, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-238)\/(-26) - 10\/65 and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-11)\/(66\/(-284)))\/((-4)\/(-774))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3238 + -16142682765.\nAnswer: -16142686003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*k - 8, -656*k + 679*k - 118 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3442 is divided by 275.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220931 is divided by 70.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414 - -30120?\nAnswer: 24201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 1, i: 2, e: 1, y: 1, m: 2}. Give prob of picking 1 y and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56ca45 (base 15) to base 11.\nAnswer: -2380034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*o = 190, 25 + 130 = 4*s - o. Suppose 7*d = 2*d - s. Let f be (-1 - -1) + 12 + d. Solve 5*b + g = -3, -4*g + 3 = -f*b - 5*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 k when four letters picked without replacement from suskmmuukxsxmmmsmx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-96)\/60) - -9. Solve 0 = -2*a + f*d - 6, -9*a - d + 3 = -10*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 470597, 941201, 1411831, 1882499, 2353217, 2823997?\n\"Answer: 2*v**3 + v**2 + 470587*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 79*g - 6. Suppose 4*x = -3*r - x + 12, r - 4 = -2*x. Suppose 0*l + l = r. Let u be s(l). What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2533 - 2532.9. Let i = 3 - 2.5. What is the closest to -2 in g, 2, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221888 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 4, -267, -0.06?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 take away 265516241.3?\nAnswer: -265516241.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2\/3*b**5 - 2*b**3 + 0*b + 2*b**4 + 0 + 2\/3*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -1\/42, 0.3, 1\/11?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**2\/t))\/t)\/t*t*t*t*(t\/((t\/(t\/(t**(-4\/11)*t)))\/t))\/t assuming t is positive.\nAnswer: t**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.5000695 - 28.5. Round d to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295655925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 355*n**5\/3 + 22000*n**4 - 349760*n**3 + 5395450*n**2\/3 - 3122625*n + 251250 = 0.\nAnswer: -201, 6\/71, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144.2736 + 0.1736. Let g = -24.9 + n. Let a = g - -168.9879. Round a to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*j + 89 + 71. Let u(d) = -23*d**2 - 14*d + 10. Let m be u(j). Round m to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15695*m**2 - 15697*m**2 - 4013 + 4013.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 352.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -1a?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -1591 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167.4 + -168.4. What is the nearest to -0.3 in 0.5, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvzyvzyvzvv. What is prob of sequence zv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2223382 - 0.2228. Round v to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -0*w. Suppose w*f = i + 15 + 10, -5*i = 5*f - 15. Differentiate 4*p - 2*p**2 - f - 4*p - 14*p**2 wrt p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2081.\nAnswer: 2\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1681 = 150*n + 1169 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 4*z - 44*z - 1)*(z - 3 + 3).\nAnswer: -51*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-47)\/(2350\/(-3350)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1855 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from sifstt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10340 + 5 - (12 - 13).\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241233 and 58519.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 4 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:01 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-11)\/231*((-162)\/4)\/9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose -6 = b*r + 14. Let s = r + 20. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 837.008 micrograms in grams?\nAnswer: 0.000837008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2*q**6\/3 + 11*q**2 + 19*q. Find the first derivative of n(i) wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2434851 = 298*c - 3691135. Calculate the greatest common factor of 61 and c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 278*y. Let u(q) = 3*q - 14. Let r be u(7). Suppose 0*t - 3*t = 2*i - r, -4*t + 2*i = 0. Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (402 - 122 + 168)*(-2*z**3 - z + z).\nAnswer: -896*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 47 = -33. Let v be 2148\/14 - d\/(-70). Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykjjscsskksjcyck. What is prob of sequence syc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16161 - -16271. Solve -261 - t = 53*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 15*v - 19. Let n = -6 + 4. Let m = 10 + n. Is j(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*i + 26 = 0, -5*h + 49 = -997*i + 995*i + 20 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 237\/8 - 703\/24. Which is the nearest to 2? (a) -8 (b) -4\/3 (c) 5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let p(v) = -226*v**2. What is p(n(q))?\nAnswer: -904*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 85?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 10*g - 10. Calculate n(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -7, -2, 2\/9, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1706908+225698.55\nAnswer: -1481209.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3999, -3963, -3887, -3753, -3543, -3239?\nAnswer: -2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 32 + 26, -2*k - 16 = -2*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*v**2 - 39*v - 2.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102.324053 - -5.3240505. Let k = 97 + p. What is k rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 10) in base 11?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -3*c + 8*t + 48319, 0 = 4*t - 8. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7043*c + 56316. Determine u(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15 and 0.184?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 1746 + 1746.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3293863 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 2, -2, 81 in ascending order.\nAnswer: -174, -2, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*((4 + -5*(sqrt(539) + (sqrt(539) + 2)*-4))**2 + 5).\nAnswer: -492864 - 36960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f + 368*f**3 - 14*f + 58*f - 356*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 3*a + 10 = -5*o, -5*o + 9*a = 8*a + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 3 = 0. Suppose -3*f - s*k = -k - 74, -3*f + 46 = -5*k. Let v(h) = 6*h - f*h + 3 - 4. Calculate v(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 196*x**2 - 19*x + 57. Let q be n(3). Suppose -4*k + 1352 = -q. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - k - 3*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - (-6616)\/(-40). Let w = h + 163. Sort -5, 1, w.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2114 + 21266?\nAnswer: 23402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjejjjjljesqsswjjj. What is prob of picking 1 j, 1 s, and 1 l?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 - -15 - (94 + -64)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:10 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272493911*h**4 - 673*h**2 + 19007?\nAnswer: -6539853864*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let g(t) = -t**3 + 8*t**2 + 8*t + 7. Let c be g(9). Let w(l) = -2*l. Let n(d) = c*w(d) + 5*a(d). Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 40*w - 80. Let y be n(-38). Let k = -0.04 - -0.24. Which is the closest to k? (a) 0.5 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/15 + 197*l**5\/30 + 151*l**4\/12 - 50*l**3\/3 + 1026*l**2. Factor u(t).\nAnswer: -2*(t - 50)*(t + 1)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + 15. Suppose -73 = -4*y + 5*k, -y + b = 2*y + k. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2400)\/(-21) + (-95)\/(-35) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 194425286 and 238302?\nAnswer: 194186984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - -3. Let y be (-10)\/p + 96\/286. Which is the biggest value? (a) -0.3 (b) y (c) 7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451090 to the power of 1\/2, to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5 + 132*p**4 + 696*p**3 + 1328*p**2 + 864*p = 0.\nAnswer: -27, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**3 + 2*m**2 + 5*m + 4. Give q(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 68*t**2 - 7*t - 448. Give h(-68).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 0.2. Let i = 9.1 - 5.1. What is the nearest to 0 in i, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*i - 18 - 68*i + 179*i - 50*i.\nAnswer: 2*i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 619110689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4334329 is divided by 1416?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342792 - 178*f**2 - 184*f**2 - 185*f**2 + 734*f**2 - 185*f**2 - 1656*f = 0. What is f?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6) - 27\/(-81) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 134949096 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-183)\/(-33) - 96\/56*7\/22. Solve 3*a + 25*k - 26*k + 10 = 0, 5*k - d = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 84, 223, 408, 633, 892, 1179, 1488?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 6.7 (c) 13901\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhhhuhhhhuhhhuhhhhh. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 33 (c) 1\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 6*q + 8. Suppose -4*n = w + 15, -w - 3*n - 3 = 10. Let d be s(w). What is the second smallest value in -2\/5, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (2 + 5 + -3*sqrt(2448) + sqrt(2448) + 0 + -2 + sqrt(2448))**2)*1.\nAnswer: -4954 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 7*b**2 + 18*b - 25. Determine c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -42. Let i be (-2)\/(-5) + m\/10. What is the tens digit of i\/4 - 788\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 444 + 196. Let q be (-5 - -2)*u\/15. List the prime factors of 1\/4 + 3576\/q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6575 and 13150.\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15204372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 - 5*x**3 + 216.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.159, 51, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147 - (243 - 376)) + (2 - (3 - 1 - 112))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*u - 12 = -284*u. What is the third derivative of 7*l**4 - 3*l**4 - 75*l**2 + 6*l**3 - 3*l**u - 2*l**4 wrt l?\nAnswer: 48*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8262478\/(-121422) + 69 + -1.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w + 10. Let t be h(5). Suppose 8*o = -o + t. Factor -o - 10*n + 4*n + 5*n**2 + n - 5*n.\nAnswer: 5*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*q**2 - 509 - 1577*q**5 + 980 - 492 + 18*q**4 - 18*q**4 wrt q.\nAnswer: -94620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*t - 26, -4*t - 46 = -5*g - 7*t. What is the second derivative of -5*s**5 - 20*s**4 + 12 - 4*s + 12*s**4 + 4*s**5 + g*s wrt s?\nAnswer: -20*s**3 - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02019 + 37.79019. Let y = h + 0.23. Let c = y + -38.0014. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68.3 - -68.299722. What is y rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73831 and 85?\nAnswer: 369155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 679, 519, 225, -203, -765, -1461, -2291?\nAnswer: -3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/597?\nAnswer: 34\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2953142.1 rounded to the nearest ten thousand?\nAnswer: -2950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/7 + 6*g**4 + 170*g**3\/7 - 570*g**2\/7 - 172*g\/7 + 528\/7 = 0. Calculate g.\nAnswer: -12, -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506.5 + 533. Let o = -12 - -39. Let k = z - o. What is the smallest value in 0.02, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0245 (b) 0.8 (c) -2 (d) -1\/3 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/5553?\nAnswer: -13\/5553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 7*f - 4. Let l(p) = -2*p**2 + 15*p + 9. Let g be (-3366)\/(-510) + (-3)\/5. Determine g*l(x) + 13*u(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**3\/3 - 11. Let y(a) = -18029 + 11*a**2 + 64*a**2 + 9018 + 9011. Calculate n(y(u)).\nAnswer: 11250*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -42, 0.1, -2, -12660?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkffkkffkkfff. What is prob of picking 4 f?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63088*n**2 + 3569*n**2 - 97114*n**2.\nAnswer: -156633*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4302097 in descending order.\nAnswer: 2, -3, -4302097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-231)\/(-154)*4\/6 - (-1 + 13). Let u(y) = -y**3 - 11*y**2 - 4*y - 29. Calculate u(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.12 (b) 1\/14 (c) 0.3 (d) -0.059 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32922540 divided by -62118.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -23. Let q = f - -72. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*3\/(-56)*8\/10.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 93*o + 561. Let q be y(-6). Solve -2 = -q*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = q + 121, -q - 494 = -4*f + q. Suppose 3*x - f = 111. Calculate the remainder when 49 is divided by (-2)\/(-3) + x\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = j. Let a be (j\/(-2))\/(8 - 7). What is the tens digit of a\/1*-3*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27676512 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -99. Let k be ((-77)\/4)\/(236\/(-944)). Let w = t - k. Put -1, w, -10 in increasing order.\nAnswer: -10, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 21 = 21. Solve -5*i + 4*i - 2 = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (0 + (17 - 13) - (4 + 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 8) + 4 + (234 - 248)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -85, -208, -421, -754, -1237, -1900?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8136733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 4*m + 1. Let s(n) be the second derivative of n**4\/3 - n**3\/2 + n**2\/2 + 493*n. Determine -6*a(x) + 7*s(x).\nAnswer: -2*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4569)\/(-7615))\/(2\/180*2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -151781.82 rounded to the nearest 100?\nAnswer: -151800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-27))\/(((-3)\/3)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 72 = -z, o = 5*z + 4*o - 294. Calculate the remainder when z is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1229738.4557 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrt when three letters picked without replacement from whwrwtuww?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(704) - 1*(-1 + sqrt(704))) + 0 + 1 + 0 + sqrt(704) + -2 + sqrt(704)*2)**2.\nAnswer: 38016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85135058297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 - 392910*p + 7467095 = 0 for p.\nAnswer: -78601, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 882229*p. Let f(t) = -t - 28. What is b(f(m))?\nAnswer: -882229*m - 24702412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.5493341 nanoseconds to days.\nAnswer: 0.00000000000019154321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55102 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4 - 148\/(-296)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27562 is divided by 280.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148 - 2474*t - 870*t - 263 + t**3 + 116 to the form z*t + j*t**2 + y*t**3 + g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 12*z**2 - 201*z + 330.\nAnswer: 3*(z - 5)*(z - 2)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + c - 60, -2429*b + 92 = -2424*b - c for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 3 = 5*y. Suppose 4*l + 12 = 4*t, -3*t + 12 = -4*l + 2*t. Let r = y - l. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5753\/72225 - 1\/2889. What is the fourth biggest value in -0.01, -2\/5, s, 0.8, 1\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 600*g - 76422. Calculate u(-108).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-7 - (3 - 5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or 120423?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/(-180)*5)\/(147\/126). What is the nearest to -0.1 in 175, 2\/5, r, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 344.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 38547.\nAnswer: -4\/38547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 55 - k + 2*k**4 + 3*k**3 + 7*k**2 - 3*k**3 to the form p*k + j*k**4 + c + z*k**2 + t*k**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 148586, 148587, 148590, 148595?\n\"Answer: p**2 - 2*p + 148587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -7. Let o be (-9 - (-2 + 2))*8. Let t = o - -285\/4. Put -1\/3, s, t in descending order.\nAnswer: -1\/3, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302 + 22?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25269 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 1218 = -7*y. Suppose 9*h + 247 = -y. Let v = 50 + h. Solve -l - l - 8 = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11146 divided by -48948\nAnswer: -5573\/24474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*t - 5*c + 14, -4*c = 3*t - 20. Find i such that -23*i**4 - 5*i**3 + 5*i**2 + t*i**3 + 11*i**4 + 15*i + i**2 - 7*i**3 - 3*i**5 + 6 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(((-40)\/6)\/(-5))\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-10)\/f*f)*f)\/f**2*f*f*f**(2\/7)*f*f*f\/(f*f*f\/((f**11\/f)\/f)) assuming f is positive.\nAnswer: f**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -20. Let k = 10 - 21\/2. Which is the fourth biggest value? (a) y (b) k (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/8))\/g)\/g**7*g\/(g**7\/g)*g**(-7)\/g)\/(((g*g\/(g*g**6))\/(g\/g**(-2)))\/(g**(-2\/9)*g)**27) assuming g is positive.\nAnswer: g**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692650 divided by -9895.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46899284148 - 1?\nAnswer: -46899284149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272\/813 - 1\/813. Which is the nearest to 0? (a) -44 (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -49*r**4 - r**2 - 5. Let f(j) = -33*j**4 - 4 - j**2 + 0 + 0 - 16*j**4. Let t(a) = -4*f(a) + 3*l(a). Find the third derivative of t(h) wrt h.\nAnswer: 1176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16*((-80)\/(-6))\/(-4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.33 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-10)*f))\/((f\/(f*((f**14\/f)\/f*f)\/f*f)*f*f)\/f))\/(f\/(f\/(f**(1\/8)\/f)))**(10\/9))**(9\/7) assuming f is positive.\nAnswer: f**(827\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 4*l = -174 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 105 = -4*f + 1, 0 = -4*s - f + 119. Suppose 41 = 3*h + s. Calculate the least common multiple of 3 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -2.3. Let r = n - 5. Let p = -0.7 + r. Which is the third smallest value? (a) 1 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-10) - 62\/4. Let g be k\/64*2*16\/(-2). Which is the second biggest value? (a) -617 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156100)\/6300 - 26\/117?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100716 and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62390 and 1225.\nAnswer: 15285550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48495 and 7950?\nAnswer: 484950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/14 - 22\/(-3 - 8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + -1 + sqrt(320) + sqrt(320))*-4 + (-2 + sqrt(320))*-2*-6 + -4)**2.\nAnswer: -2048*sqrt(5) + 6144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + -7. Let c = -66 - m. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to -278540108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5226 - -5226.00000653. What is w rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 188.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (-35 + 65 + -130)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6083 and -1.388.\nAnswer: -1.9963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - w + 66 - 272 = 0, -2*w - 34 = -r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -842 - -199?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m**3 - 423 + 449 + m + m**3 + 2*m**2. What is the units digit of v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158460 and 768?\nAnswer: 10141440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 90. What is the closest to -0.2 in 2\/5, 2, s, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-1 - -2))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015976.0875 minus -15?\nAnswer: 2015991.0875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, a: 4, j: 3}. Give prob of picking 4 a.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 2, l: 7, s: 5}. What is prob of picking 2 l?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1854.13073+-1.2107\nAnswer: 1852.92003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 146955066 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 31. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984335 is divided by 14265?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 2\/(-4) + (-105)\/(-70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {y: 1, e: 4, f: 2, b: 1, o: 6, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/692*3*(-20)\/105. Let f = d - -1227\/9688. Factor f*l**3 + 1\/2*l**2 + 1\/4 + 5\/8*l.\nAnswer: (l + 1)**2*(l + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1067503?\nAnswer: -1067501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -1966, -6583, -15578, -30409, -52534?\nAnswer: -83411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 d when four letters picked without replacement from {p: 3, d: 2, o: 3, v: 5, f: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = 58 + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let o(p) = 2*p**2 - 263*p + 14568. Give o(h(a)).\nAnswer: 18*a**2 + 789*a + 14568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 136*t + 1. Let j(o) = -923*o - 6. Let h(i) = -6*f(i) - j(i). Let r(y) = 2*y**2 + 2. Determine h(r(d)).\nAnswer: 214*d**2 + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + -4.91. Let j = -206.8 + 207. What is the nearest to j in -0.1, q, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/((r\/(r\/r**(-8)))\/r)*(r**(-1\/3)*r)**(-1\/6))**(-7\/9) assuming r is positive.\nAnswer: r**(-1127\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(-2*-5*sqrt(1216)*-2 - (2*sqrt(1216)*-5 + 0)))**2.\nAnswer: 1945600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 294247746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(1\/3)\/b*b*b)\/b*b**(1\/6))**(1\/33) assuming b is positive.\nAnswer: b**(7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33\/38, 1, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9984*v**3 + 9984*v**3 - 13*v**4)*(-3 - 4 + 3) + 0*v**4 - 2*v**4 + 3*v**4.\nAnswer: 53*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1579603 - -1.5.\nAnswer: 1579604.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 406 and -24.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 11*x**2 - 12*x + 41. Let s be r(6). Suppose s*z = -7*z + 2388. List the prime factors of z.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486090 is divided by 15680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-5 + 1 - (51 + -55))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 44\/91101635?\nAnswer: 182203270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/(-1*1)). Let d = 12872\/700101 + 2\/6543. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, v: 4, a: 3}. Give prob of picking 2 v, 1 a, and 1 h.\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 47.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49b (base 12) in base 5?\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvqvcq. Give prob of sequence jvq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 307647998 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 53) + (-6 - -1) + 9 - (204 - 198)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:50 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - -1. Let h = 151064\/13447 + -191\/17. Let k = h - -799\/6328. Put k, 3\/5, r in ascending order.\nAnswer: k, r, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8394*t**2 + 8391*t**2 - 16794*t**2 - 5.\nAnswer: -9*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1875335 to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-2.69.\nAnswer: -1.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(((f\/((f**(-19)\/f)\/f))\/f)\/f)))*f)\/(f**(4\/9)*f)*(f*f**(-6))**(-1\/32) assuming f is positive.\nAnswer: f**(-5267\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 25*q + 13*q + 11*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3*s**4 - 305*h**3*s + 21*h**2 - 24023*s**4 - 3*s wrt s.\nAnswer: -36*h**3*s**2 - 288276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25093 is divided by 397.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmlmlllmllllmlmml. What is prob of picking 1 l and 1 m?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4652731.\nAnswer: 29, 83, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 4 + 12 - 5*j as l + f*j and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**3 - o**2 + o + 3. Let m be s(-3). Let j = -78 + m. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:05 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(l - 2*l + 0*l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s. Let a be 1 + 6 - (s - -2). Suppose -4*o = -a*o + 7. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 21*l**2 - 6*l + 9. Let z be r(-6). Suppose 2*w - 3*x = -2*x + 1, 4*x - 17 = w. Suppose 3*d - 2*d = -q + z, -w*d = 2*q - 1600. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203955 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 8896*g\/11 + 203550\/11.\nAnswer: 2*(g + 23)*(g + 4425)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/((-104832)\/528))\/((-143)\/52).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -457 - -453. Is (2\/(a\/2657))\/(10\/(-100)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153 + 15?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*n = -14, -2*b - 26 = -4*b + 3*n. Let m be (-4)\/(-6) + b\/3. Let g be 3 + -3 + m*1. Let i(x) = -x**3 + 3*x**2 + 6*x - 5. Determine i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 527115548774 - 5\nAnswer: 527115548769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 - 20 = 0. Let t(g) = g**3 + 10*g**2 + g + 1. What are the prime factors of t(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 30 = j. Let i(d) = 2 - 5*d + 2 + 4*d. Give i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9252, -18501, -27750, -36999, -46248, -55497?\n\"Answer: -9249*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 552*w**4 - 33740*w**3 - 42942944*w**2 wrt w?\nAnswer: 13248*w - 202440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3bc2b - -1b?\nAnswer: -3bc10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -283765 + 283765 + 4610*g in the form t*g + d and give t.\nAnswer: 4610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 234 = -156 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -19. Let w = 599 + -603. Put 4, o, -1\/13, w in increasing order.\nAnswer: w, o, -1\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (126\/(-27))\/((-4)\/618). Let q = a - 442. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22780 and 2814.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000663 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 8*r + 3. Determine t(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + -1.95. Let i = s - -1.97. Let j = 0.060349 + 0.039651. Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 5*h + 18, 27*h - 31*h - 4 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 45720*w**3 + 2159. Let l(b) = 127*b**3 + 6. Give -2159*l(p) + 6*z(p).\nAnswer: 127*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -796043578.23?\nAnswer: 796043577.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 6) + 5 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 31*g**3 + 4*g**2 - 7*g - 1. Let j be d(3). Suppose 4*q = -4*w + 1960, -4*q + 1111 = 2*w - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 1. Let a(c) = -3*c - 9. Determine -2*a(j) - 18*u(j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-25 - -25) + 4\/6. What is the nearest to 0.15 in -1, -1\/9, 5, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -863 + 786.24. What is c rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -67*f + 5*f**2 + 44 + 45*f + 49*f. Let u(n) = -n**2 - 7*n - 11. Suppose x + 24 = -3*q + 1, -3 = -q - 3*x. Let h(i) = q*u(i) - 2*y(i). Determine h(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 50 - b**2 - 45 + 36. Let n(r) = -5*r**2. Calculate i(n(m)).\nAnswer: -25*m**4 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -35\/6. What is the second biggest value in -0.3, 3, k, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -517*d**3 + 91*d**4 - 158*d**3 + 990*d**2 + 46 - 580*d + 44*d**4 + 74.\nAnswer: 5*(d - 3)*(3*d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477174542?\nAnswer: 2, 13, 1411759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 943 and 246.\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/7 - -13\/14. Let x be (-2)\/10 + 71\/5. Let g be (-11)\/x - 1\/(-2). Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -2\/13 (c) 10 (d) -949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6496 + 6499. Let y = -2 + 1. Let m = y + -1. Which is the nearest to x? (a) 0.5 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuudduu. Give prob of sequence duu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmggmfglmgmyfggm. What is prob of picking 2 m, 1 g, and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30511 and 30511?\nAnswer: 30511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**2 - 111*k - 16*k**3 + 109*k - 20 - 20 wrt k?\nAnswer: -96*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 692651502 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v - 168 = 96 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2433246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*m**3 + 7*m + 2?\nAnswer: 1428*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*x**5 - 90*x**4 + 309*x**3 + 258*x**2 - 228*x - 168 = 0 for x.\nAnswer: -2, -1, -2\/3, 1, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3045426133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-12) + 4\/(-12). Let i = -39.009 - -39. Let p = i - 0.041. Which is the closest to 0? (a) -0.4 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18 - -5) + 3 + 0. What is the units digit of ((-28)\/u)\/(2\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1097 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8620)\/(-12930)*(-51)\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -327 in 15.7, 5\/2, -3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t - 3. Let m(n) = 54*n**2 + 15*n + 9. Let v(f) = -m(f) - 2*z(f). What is the second derivative of v(l) wrt l?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149954 (base 11) to base 6.\nAnswer: 4553302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35334 is divided by 1820?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/17 - -65\/51. Let n(y) = y**2 - 3*y + 2. Let c be n(2). Factor c + 2\/3*j**2 - x*j.\nAnswer: 2*j*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 44. Let r be 4\/(-18) + z\/18. Let g(y) = -7*y + 5*y + r*y. Let q(j) = -5*j + 6. Calculate q(g(h)).\nAnswer: -10*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-15)\/(-5))*(-5)\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/41475 and -68\/91245?\nAnswer: 456225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245841 is divided by 124533?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7065*s**3 + 169*s - 14133*s**3 + 7071*s**3 - 169*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 123*r**3 + r**2 - 2. Let g be a(1). Let p = 108 + g. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11*k + 7*k**2 - 6*k - 9*k - 570 + 574. Let g(i) = -i + 2. Let q be g(0). What is the units digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - (0 - (38 - 19))) + -17?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 7. Let m be g(6). Let n = m - 11. What is the remainder when 46 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 40*c**2 + 57*c + 85. Let d be i(41). Let x(f) = 80*f + 369 - d + 372. Let j(l) = 4*l**2. Calculate x(j(u)).\nAnswer: 320*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 1, i: 3}. Give prob of picking 1 y and 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.4, -1.7, 0.5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/4 - 9*o\/2 - 21\/4 = 0. What is o?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulllxlllulx. What is prob of picking 3 l and 1 u?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - a + 9, -r + 3*r = -2*a. Suppose r*w + 20 = -w, 0 = 5*z + 3*w - 90. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, x: 7}. Give prob of sequence dddd.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(8250\/15)*-8*(3\/(-2) - -2)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35\/42 - (-12755)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 17 - (7 + (1 - 1) + -3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1052, 2115, 3190, 4283, 5400, 6547, 7730, 8955?\nAnswer: 10228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5 + 161088*c**4 + 3243506876*c**3 - 6487497024*c**2 + 3243829058*c = 0?\nAnswer: -40273, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -6*z + 5*r + 6, 0 = z + 5*r - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k = 290 + 196 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**21*r**(-2\/5)*r*r assuming r is positive.\nAnswer: r**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 875, 1751, 2627?\nAnswer: 3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131161475 + 3?\nAnswer: 131161500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*3*(-4)\/(-18). Let j(b) = 2*b + 8. Let u be j(-7). Let k be 7\/u*1\/7. What is the third biggest value in v, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189682871.\nAnswer: 3, 13, 113, 269953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20884.88299 - -20885. What is v rounded to three dps?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18204767 + 3?\nAnswer: -18204764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -145, -217?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/14 + (-30)\/(-25)*-5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 4*r**2 - 3*r. Let m be y(2). Suppose 0 = -g - 3, m*i - 80 = 2*g - 4*g. Suppose 0 = -x - o + i, -2*x - 3*o + 142 = 57. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-50))\/((260\/(-65))\/16).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1856 in 7, -2, 5\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.026 + 104.026. Let z = f + -103.71. Which is the nearest to z? (a) 5 (b) 3 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzcn when four letters picked without replacement from bdzdbkdkdcndnnkkzbd?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6 + 5 + 6*c + 0. Let n(q) = q + 2. Suppose -15*r + 10*r + 110 = 0. Let j(a) = r*n(a) - 4*z(a). Let f(o) = 2*o + 1. Give 3*f(t) + 4*j(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084506 is divided by 176.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 8. Let a be i(8). Suppose 0 = -5*j - a*j + 30. Suppose 0 = 5*y - 0*y + 5*b - 50, -3*y = -4*b + 5. Solve 2*f - y*z - 12 = j, 3*z - 2 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 1)*4.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-310)\/((-4340)\/(-70)))\/((-2)\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**8\/672 + t**7\/420 - t**6\/240 - t**5\/120 + 2*t**2 + 3. Let x(l) be the second derivative of q(l). Factor x(j).\nAnswer: j**2*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 43. Let u(c) = -17*c + 7*c + 7*c + 2. What is the remainder when k is divided by u(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1180*d**2 - 3. Let j = -36 + 33. Is r(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:30 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2684)\/(-2013))\/(8\/(-90))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10118947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-45))\/(1\/(-5)). Put -4, s, -21\/4 in increasing order.\nAnswer: -21\/4, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91540 times -22\nAnswer: -2013880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3 + -1 + -110. Let q = -350 + 620. Let d = l + q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, -70669516 in descending order.\nAnswer: -0.1, -3, -70669516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*t - 31 = 0, 3*o + t - 75 = -88 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 3)*(1 - 5 + 3)*(5*p + 2*p + 0*p) as v + a*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62940377.\nAnswer: 2027, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296689?\nAnswer: 227, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 + (15 - 18) - -5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 3*n**5\/16 - 7*n**4\/16 + n**3\/4 - 5*n. Factor i(a).\nAnswer: 3*a*(a - 1)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22849.3 times 6\nAnswer: -137095.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82665 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 12*y**2 - 13*y - 5. What is h(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 12*y + 2. Let b be 112\/48*((0 - 1) + -2). What is the remainder when 144 is divided by i(b)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -339 * 15.\nAnswer: -5085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 5*x - 6. Let l be w(-6). Suppose -k + l = k. Suppose 2*r + 10 - k = -2*b, 4*r = -2*b + 34. What is the greatest common factor of b and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 220 = r. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(2\/(-18)). Let t(s) = -s**3 + 2*s**2 + 3*s + 4. Let v be t(p). Let k(x) = -x - 6. Let n be k(-6). Sort v, n, -1 in decreasing order.\nAnswer: v, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/60*5\/(-2). Let r be 3 + (-2 - c) + -1. Suppose 99 = 3*w - r*b + 18, -4*b - 82 = -3*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {h: 2, a: 2, o: 8, s: 7}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -614.\nAnswer: -97\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4162412, 4162416, 4162422, 4162430, 4162440, 4162452, 4162466?\n\"Answer: z**2 + z + 4162410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(1\/3)*a))**(2\/77)*(a**(7\/2)\/a)\/(a*a\/(a\/(a*a**(3\/4)))*a*a))**(9\/7) assuming a is positive.\nAnswer: a**(-915\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6606624 and -121\/300601392.\nAnswer: 601202784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10122, -17258, -24394, -31530, -38666, -45802?\nAnswer: -52938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -409351 - 5.\nAnswer: -409356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3638 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2702 - 2702.16824. Let q = 104 - 104.171. Let y = k - q. What is y rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 + -83 - -78 - 115.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x - 3220 = -2800 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 14*g**3\/3 - 7*g - 2. What is the first derivative of s(b) wrt b?\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - y - 9 = 0, 21 = 2*l - 3*y. Let q(p) = -13*p + 332. Let d be q(25). Suppose d*a = l*a + 15. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1754.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -845898966 divided by 38449953.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(3*a - a - a) + 0*a + 3*a - 6*a + 309 - 146 - 81*a - 162.\nAnswer: -86*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 877398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s - 10*s - 1 + 15*s + (11 - 12 + 13)*(18*s - 34*s + 15*s) to h*s + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(68))\/(-2*sqrt(196) + sqrt(196) + sqrt(196) + sqrt(4)))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**3\/3 + 1. Let n(w) = -10*w**2. Determine f(n(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -57. Let u = 58 + g. Is (557\/u)\/((-4)\/(-72)*6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1128 and -57\/376?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 91.7555*-4\nAnswer: -367.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 30325 - 5777 - 3*x.\nAnswer: -x + 24548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u)**(1\/12)\/(u**(-7)*u**5*u) assuming u is positive.\nAnswer: u**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2617, 2615, 2613?\nAnswer: 2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12607 and -0.1520836.\nAnswer: 12606.8479164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 + -1.1. Suppose -5*z = 4*j - 20, -16 = -0*j + j - 4*z. Suppose 4*h + 3 + 1 = j. What is the biggest value in -3, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**3 + b**2 - 3. Let m(k) = -3*k**3 + k**2 - 2. Let p(x) = -5*m(x) + 4*w(x). Calculate the smallest common multiple of 22 and p(-3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8024 - -8023.5. Let p = -52 + 97. Which is the third smallest value? (a) 0.1 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1367, -2229, -3095, -3965?\n\"Answer: -2*h**2 - 856*h - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1002, -847, -598, -255?\n\"Answer: 47*z**2 + 14*z - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0.7698?\nAnswer: -6.2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -71, -110, -149?\n\"Answer: -39*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let r(a) = -5*a - 8 - 3 + 5 + 4*a. Let c be r(-10). Solve c*q = 3*q - k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 284751893, 569503786, 854255679, 1139007572, 1423759465?\n\"Answer: 284751893*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75540 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (34\/4)\/(12\/(-48)). Let s be 3 - (392\/m)\/(-4). Let h = 3.8 - 0.8. What is the second biggest value in s, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-36)\/(-3))*3\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 4626?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l - 38*l + 18*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/67*((-12)\/(-20) + (-77)\/70)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -372*y - 412 + 2334 - 122*y**2 - 2*y**3 - 1426*y.\nAnswer: -2*(y - 1)*(y + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14420 divided by 2884?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 12895 - 10352 = 0. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*b**2 + 18*b**3 + 9*b**5 + b**2 - 6*b**5 - 12*b**4 + 3*b.\nAnswer: 3*b*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 9, 26, 51, 84, 125, 174?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10939, 21792, 39887, 65230, 97827, 137684, 184807?\n\"Answer: z**3 + 3615*z**2 + z + 7322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 432 + -313. What is the remainder when v is divided by 48?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -856 - -858. Solve -21 = 5*k - 2*l, 10*l - 3 = -v*k + 7*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2660999 from 0.\nAnswer: -2660999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 190733700 to the nearest 100000.\nAnswer: 190700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 11:42 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2167 and -1.\nAnswer: -2168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 7)\/(1\/(-4)). Let c(p) = -p**3 + p**2 + 3*p + 13. What is the units digit of c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -35660.\nAnswer: -3\/35660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 3*s**2 - 3*s + 5. Let i be l(-4). Let k = -16 + 27. Let c = k + i. Solve -2*u = u + c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2132.5 - -2133. Is r at most as big as -12.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154946 is divided by 79.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 47*d + 98 = 0 for d.\nAnswer: -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-4*z + 3*z + 2*z) - 1 + 1 - 122*z - 135*z in the form g + k*z and give k.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 1 + 5\/3*k**3 + 0*k**2 + 0*k. Let n(h) = -3*h. Determine i(n(d)).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -3\/4*f**5 + 0*f**3 - 21*f**2 + 0*f - 5\/168*f**8 + 0*f**6 + 1 + 0*f**7 + 0*f**4. Find the third derivative of r(m) wrt m.\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 520 = 2*c - 4*n, 3*c = n + 870. Let s = c - -37. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - z**3 + (2*z - 2*z + z)*(-383*z**2 + 391 - 391).\nAnswer: -384*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.1. Let j = c + -3.1. Sort -0.1, -0.03, j in decreasing order.\nAnswer: -0.03, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + 4*(5 + (sqrt(684) + 1 + sqrt(684)*-1 - (sqrt(684) - 2*(sqrt(684) + 1)))))**2.\nAnswer: 1152*sqrt(19) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -182, -170, -150, -122, -86, -42?\n\"Answer: 4*j**2 - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161258704.\nAnswer: 2, 23, 438203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let l be ((-60)\/g)\/(-2 - 0). Let y be 37\/7 - 4\/14. What is the highest common factor of y and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304147972 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.508683 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by (-15)\/(-10) - 46\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + y - 2 + 2 - y + (2 - 1 + 0)*(4*y - 5*y - y) + 7*y + 6*y - 5*y + 0*y - 4*y - y - 12 + 12 - 25*y - 79*y - 11*y.\nAnswer: -114*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let p be 5\/((-15)\/6) + 2. Let k be (p + a)*(4 + -4). Solve 2*s + 10 + k = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 454*z**3 + 26*z**2 + 0*z**5 - z**5 - 9*z**4 - 897*z**3 + 458*z**3.\nAnswer: -z**2*(z - 2)*(z + 1)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -1, 2, 817, 8 in increasing order.\nAnswer: -1, -4\/5, 2, 8, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 + -128. Solve 4*n - 3*j = -16, -s*j + 12 = -0*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71803914 divided by -4\nAnswer: -35901957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 5*sqrt(77)*1)\/(sqrt(112)\/sqrt(4)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23392, -46804, -70216?\n\"Answer: -23412*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5708519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 + 4*h - 12. Let r be v(-6). Let m be 2*(5\/2 + r). Suppose -2*j + 369 = m*w + 87, 2*j - 282 = 4*w. Is j 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 27338?\nAnswer: 2, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:07 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 1, b: 1, x: 1, p: 1, q: 2}. Give prob of picking 1 x and 2 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) - (-2*sqrt(408) + sqrt(408))\/sqrt(8))\/(sqrt(60)\/sqrt(5)) - (3*1*sqrt(17)*4 + 3))**2 + -1.\nAnswer: 66*sqrt(17) + 2065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.651 and 7.638.\nAnswer: -4.972338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -182219 rounded to the nearest one thousand?\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114731794 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - 124. Does 14 divide x\/(-4) + 2\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-60)\/16 - 81\/36. Let o be (-6 - -3)*(h + 1)*2. Solve -9*u = -o - 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n + n**3 + 77648 - 78156 + n + 784*n**2 + 5*n wrt n?\nAnswer: 3*n**2 + 1568*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/3504923 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 9 + (6 - 10 - 0). Suppose 4*t - 62 = 2*l, 5*t - 49 = 2*t + 4*l. Determine r, given that -2*r**3 - p*r**2 - 27*r + 12*r + t*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -6*a**3 + 8832018*a**2 - 52992027*a\/2 + 19872000 = 0.\nAnswer: 3\/2, 1472000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83621785 is divided by 1182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 481152299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000394697538 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q + 142 - 87 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -449 + 0*u + 120 + 4*u + 153 + 147. Let p(y) = -2*y. Calculate k(p(a)).\nAnswer: -8*a - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 159 + 945 = 48*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 51.7, 0.0175, 5, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:31 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793374585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -5, -79\/5, -14, 8\/3, 1?\nAnswer: -79\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100416951*n**4 - 17504405*n**2 wrt n?\nAnswer: 2410006824*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56546358 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5981.021g?\nAnswer: 5981021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*2\/((-60)\/210)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -530 - -13341?\nAnswer: 12411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 65922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29530 by -3440.\nAnswer: 2953\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*p - 2431 - 29437 = 0 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 26290, 0.2, -3, 0.5, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3213128 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19362\/(-210) - (2\/(-10) + 0). Let j = w - -299. Calculate the remainder when j is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 820246 and 840?\nAnswer: 49214760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/5)\/(2\/50). Let d(k) = -24*k**2. Let v(f) = -f**2. Give y*v(s) - d(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433962 is divided by 1096.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3730432 divided by 58288.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22624368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/33 - (-53)\/(-11). What are the prime factors of 2*1 - (-4 + q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47634 is divided by 15346.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvri when four letters picked without replacement from {r: 1, i: 4, v: 2, n: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -1.13. Let g = d - -0.094. What is g rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160980 less than 0?\nAnswer: 160980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(60) - sqrt(60))\/sqrt(12).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474248 = -5*b - 3*n, -b + n + 94847 = -n. Let m be (2\/3)\/(8\/802188). Let x = b - m. Round x to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 d, and 1 z when three letters picked without replacement from {d: 1, r: 1, a: 1, i: 1, z: 1, k: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(156) - sqrt(156)*-3 - sqrt(156)) + sqrt(156))*-3)\/(sqrt(432) - 5*(sqrt(432)*2 + sqrt(432))))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a factor of 3558602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21724200 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/24 + 5*i**3\/6 + 37*i**2. Find the first derivative of j(v) wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 3. Determine p(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-6)\/(-33) - 36\/(-528))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 26427*a - 763860.\nAnswer: -3*(a + 29)*(a + 8780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1964*f - 9. Let l(p) = 4*p - 41. Let j be l(10). Let g be t(j). Is 0*(-2)\/6 - g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*b + 337*b = -54 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 1429\/9. Determine m, given that 2\/9*m**4 + r*m**3 - 2\/9*m - 2\/3*m**2 + 4\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2102 and 77\/206?\nAnswer: 216506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 6 = -3*d, -2*j + 4*d = -6*j - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:10 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*12\/(-42) + (-195)\/(-420)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3 and 109\/130.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72912 and 9607675?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 + -2.3. Which is the fifth smallest value? (a) -2\/3 (b) 5 (c) -1\/2 (d) 2\/11 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 4*i - 10, -4 = 2*i. Let d be (-14)\/(-12) - (-1)\/k. Sort -1, -5, d in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2514 and 37\/223327?\nAnswer: 1339962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 12:55 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(-8)\/24*-2*(-36)\/(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002785 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5854 and -6.02?\nAnswer: 5.4346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 50.2.\nAnswer: 1.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = x + 4, 5*x - x + 3*i = 30. Suppose -55 = -x*j + j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let l(k) = -44*k**2 + 7*k. Let f(m) = -43*m**2 + 6*m. Let t(n) = -7*f(n) + 6*l(n). What is t(o(x))?\nAnswer: 37*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -115 in 0.08, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-12) - -13)\/((-15)\/(-150)) - -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 7*o - 6. Let v be l(1). Let c be 0\/2*2\/(-2). Solve -v*s - 4 = -c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b1 (base 14) to base 13\nAnswer: -694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -40*a + 265. Let n be r(-17). Let l = 2355 - n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8220?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.25809 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + -2 + 1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 2*n - 3. Let r be b(6). Let s be (1 + 1)\/(-6 + 504\/81). What is the highest common divisor of s and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:52 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1184899, -1184866, -1184833, -1184800, -1184767, -1184734?\nAnswer: -1184701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crbssbsisbbsri. Give prob of picking 1 i, 1 c, 1 s, and 1 r.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 185835*m + 24716051. What is q(-133)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - ((-3 - 7) + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118252 and 3102.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (-28 + (-17 - ((7 - 5) + -44))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 11 + 7*d + 8*d**2 - 13*d - 16*d + 7*d**2 + d**3. Let u = -28 + 16. Is a(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i + 2*j + 3*j, 5*i = -5*j - 30. What is the smallest common multiple of 2 and i\/3*-3 - 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32097*v - 128 = -32089*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4459.016 + 4459. Let n = 0.04 - 0.54. Which is the second smallest value? (a) y (b) n (c) -2\/9 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 21*c - 15 - 16, c - 2*c = -2 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210466634603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22 = -29*v + 32*v, 2*v - 2*r = 10. What is the nearest to 64 in 2, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fch when three letters picked without replacement from {f: 6, s: 1, c: 4, h: 7}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/25 and -11\/625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11481 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = 18, -4*u - 2*c + 342 = 0. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2318 and 416.\nAnswer: -964288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 13*h + 136. Let p be v(12). Factor -x**3 + 7\/9*x**2 + 0 - 2\/9*x + 5\/9*x**p - 1\/9*x**5.\nAnswer: -x*(x - 2)*(x - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 1. Let x(a) = -2*a - 22. Let c be x(4). Let k be 2 - (d - c\/21). Do 0 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -15. Let y be ((-2)\/(-4))\/(2\/4). Let n = 23.27 - 22.97. Which is the nearest to f? (a) y (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(700)*-1*2 - sqrt(700)))*5 - 4*((sqrt(700)*-3*3 - sqrt(700))*-1)**2.\nAnswer: -279975 - 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r**3 + 11*r**2 + 3*r - 3. Let u(s) = 15*s**3 + 12*s**2 + 4*s - 4. Let z(o) = 4*m(o) - 3*u(o). Find the third derivative of z(a) wrt a.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15636 and 5316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 432, 699, 948, 1173, 1368, 1527, 1644, 1713?\n\"Answer: -g**3 - 3*g**2 + 283*g + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 11, 0.1, -3.\nAnswer: -3, 0.1, 2.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 + 2*v - 4*v**2 + 12*v**2 + 0*v. Let l(w) = 5*w**2 - 11*w. Suppose 2*p + 11 = 3. Give p*l(c) - 22*h(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11093130.\nAnswer: 2, 3, 5, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.3 from -1897469.8.\nAnswer: -1897471.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -733*x + 1 - 737*x + 1468*x. Let r(j) = -2*j + 2. Let h(v) = v - 15. Let i be h(19). Give i*c(w) - 3*r(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-297)\/15)\/(-1). Suppose -2*t + 32 = -5*b, 3*b - 6*b - s = -5*t. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10481435 to the power of 1\/2, to the nearest integer?\nAnswer: 3238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 12 + 4*u**2 + 9*u**2 - 11*u + 7*u**2 + 4*u**2 - 25*u**2 = 0. Calculate u.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 637528409 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 4 + 0*w - 12. Let h be m(10). Let a(b) = -b**3 - 4*b**2. Let s be a(-5). Solve -h*i = i + s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2*p + 2*p)*(-1676580 + 1676580 + 1182*p) to l*p**2 + j + g*p and give l.\nAnswer: -2364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (62 - -10) + (2 - 1)*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -1. Suppose j*f = 3*f. Let o = 0 + f. Which is the nearest to o? (a) -1\/4 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 - 70. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130*(-6)\/96 - -8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 784402944 and 1536?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217020 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5400*h. Let f(g) = -12420*g. Calculate s(f(o)).\nAnswer: -67068000*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4378 + 203?\nAnswer: -4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*-29\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -15, 5, -1.93, 0, 2\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, x: 3, w: 2}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 713. Let r = -558.21 + q. Let f = r - -0.21. Is -0.1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*z - 2, 0 = 5*j + 3*z - 7*z - 18. Find s, given that -1\/5*s**j + 2\/5*s + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1166 and 140800.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -d - 2, 2*u - 4 = -2*u - d. Let r(w) = 10*w - 4*w + u - 5*w. Give r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5479, 10956, 16433, 21910?\nAnswer: 27387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/26*2369237\/(-17637).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 + 3*v**2 - 8*v + 2. Let k(c) = -6*c**3 + 2*c**2 - 7*c + 1. Let m(s) = 6*k(s) - 5*y(s). Determine m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5166.25 meters?\nAnswer: 5166250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/8, -1\/3, -0.3, 5, 8146227?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44.291 and 5222.\nAnswer: 5266.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 70 - 500*n - 137 + 500*n + 2*n**2 in the form i*n**2 + w*n + d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2451 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:01 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-448 - -2)*-4 - 10*(-10)\/50 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95569 = -28*g - 95989 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**6\/30 + 2*l**5\/25 - l**4\/4 - 2*l**3\/5 + 5757. Suppose x(o) = 0. What is o?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 433\/2 + -692485\/3198. Find the common denominator of 40\/117 and o.\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38125592 to the nearest 1000.\nAnswer: -38126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-6 - (7 + -22) - 0) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40.4141 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Let j(f) = -102*f**2 - 18*f - 32. Let h(s) = -50*s**2 - 8*s - 16. Let v(c) = 9*h(c) - 4*j(c). What is v(t(m))?\nAnswer: -168*m**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 11}. What is prob of sequence dd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00513635 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002220231 (base 4) in base 6?\nAnswer: 5503341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -22. Let t = 139728443.0000018 + -139728465. Let w = p - t. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306452 by 46.\nAnswer: -6662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0074 and -2.3289?\nAnswer: 0.01723386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + -6 - (-407855)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + 75. Let i be (-14)\/10*(-9)\/c. What is the second biggest value in -0.4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3523 + 4982. List the prime factors of y.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 11*j**2 + 243*j - 1519. Give t(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 3, 11, 9, 14, 0, 1 in ascending order.\nAnswer: -39, 0, 1, 3, 9, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 398935?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -146, -162, -146, -92, 6, 154, 358?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 25*d**2 - 27*d - 154. List the prime factors of t(-26).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10372?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 46. Let d = 102 + v. Let q be 2\/(-2 + 0) - -6. Solve -d = j - q*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*d + 4 = -v, -3*d - 1 = 2*v. Let n(y) = 33*y**3 + y**2 + y - 1. Let x be n(v). Let o be ((-444)\/48)\/(2 + x\/(-16)). Is 75 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1148)\/410)\/(35\/(-50)) + 11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + 2)*-3)**2.\nAnswer: 36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -2\/3*o**3 - 1\/20*o**6 + 0 + 7\/30*o**5 + o**2 + 0*o - 1\/21*o**7 + 1\/4*o**4. Find c such that j(c) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78731083 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2532 and -31\/1400.\nAnswer: 886200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r - 53*r - 130*r + 2730 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347 is divided by 303?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89866 and 6288?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-8)\/(-9))\/(69\/(-414))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21429.01373 to 0 dps.\nAnswer: 21429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdt when three letters picked without replacement from dddmdbbtmdtbvbbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 8*x + 220 = 0. Suppose 4*z - 2*k = x, 0*z - z - 2*k = -13. Solve 3 - z = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24262, -24264, -24266, -24268, -24270, -24272?\n\"Answer: -2*b - 24260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15458 * 2.5.\nAnswer: -38645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -703753251 to the nearest 100000.\nAnswer: -703800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.27 - -107.27. Let f = b + -104.99999929. Round f to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 6, h: 4}. What is prob of sequence jth?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.85? (a) 40 (b) -1\/11 (c) 2 (d) -0.16 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 12129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtmm when four letters picked without replacement from {x: 1, t: 1, p: 1, m: 4, s: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3 and -61\/114675?\nAnswer: 114675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-224)\/(-5) - (-37)\/185. Solve n - 21 = 8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 4. Suppose p + 6 = -4*k, -6 = k - 6*p + 4*p. Let f(j) = 5*j - 2 + 21*j - 19. Give k*f(m) + 11*u(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29\/58*5\/((-5)\/6). Let b(p) = -2*p**3. Let t(h) = 2*h**3. Suppose 0 = 2*y + 3*y + 10. What is f*t(l) + y*b(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (140\/(-2))\/7)\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3212 + -3230. Is t bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537 divided by -12300.\nAnswer: -179\/4100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhvbvbfbbbbf. What is prob of sequence fh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39895 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/2 + 125639*g**3 + 29891633*g**2\/2 + 466156150*g + 1267348314 = 0.\nAnswer: -251159, -58, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -11. Suppose 0 = o*m - 21*m - 8. Suppose 4*k + 2*d - 106 = 0, 2*d + 74 = 3*k - 2*d. Calculate the remainder when k is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 9. Suppose c*g = -a - 7 + 31, g = -2*a + 57. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = r - 5, -2*p + 4*p + 11 = -3*r. Find j, given that -4*j + 3*j**p + j**5 + j**4 - 4*j - 5*j**3 + 8*j = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33442.95186 to the nearest one hundred.\nAnswer: 33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000011010 + -1000?\nAnswer: 110000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 154610980 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*h + 17, 0 = -l - 3*h - 0 - 7. Solve -2*m + 7*m = -3*g, -16 = 2*m - l*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 161.\nAnswer: -4\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.6, -13135, 17?\nAnswer: -13135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 991?\nAnswer: 14865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 256*a + 37*a + 759 - 1931. Solve -l - a*b = 8, 1 = -l - 3*b - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 7. Suppose -2*d - 6 = 5*r + 18, r = d + 5. Let v be g(d). Suppose -u - 1 + 8 = v. Solve -12 = u*o - 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64069*t + 88880 wrt t?\nAnswer: -64069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -176 (c) -5\/3 (d) -1\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*c - 12*c - 15*c + 11651817. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnswhww. What is prob of sequence nw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 14 = -2*b. Calculate the remainder when 36\/30*(-80)\/(-3) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*a**2 - 93*a**2 - 20*a**3 + (-a + 4*a - 4*a)*(0 + 0 + a**2) - 11 - 15*a**3 + 11.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416327.\nAnswer: 457, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*h + 25 = 4*h, -4*h = 0. Suppose 10*c - 415 = j*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -9. Let s(k) be the first derivative of -k**2\/2 - k + 3. Determine s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-216)\/18)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -1238?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*v + 46 = 2*v, 2*a - 2*v = 16. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.3 times -31\nAnswer: -1621.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/11, -0.4, 0.1, 23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216 - 152. Suppose 10*d + f = 18*d. Let g = 14 + -9. Solve -3*q - 5*o = 27, o - g*o + d = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*g + 120 = 122*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*y + 17*y - 13*y - 71*y.\nAnswer: -163*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 2 - 1 + 2*q**2 + q - q**2. Let y = -13 - -13. Determine h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 330 + -173. What is the remainder when w is divided by -1 - 1*-1 - (-23)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 7. Let w(u) = u - 1. Let n(d) = -r(d) + 3*w(d). Let g be n(18). Suppose -5*z - 3*m = -15, 4*z + 2*m + 8 = g. Solve 2 - z = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/5 - 3) + (-3)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b. Let y(x) = -46899606*x**2. What is y(u(m))?\nAnswer: -3001574784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18392375?\nAnswer: 5, 147139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/2)\/(4\/(-8)). Suppose o + 4*b - 19 = 0, 2*b = o - 3*b + 26. Sort w, o, 4 in descending order.\nAnswer: w, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 11. Let v(h) = h + 8. Let k(t) = -3*m(t) - 4*v(t). Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 10, 5, -5327, 0.8, 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 25*z**2 + 47*z + 1. What is p(-23)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564159, -1128332, -1692531, -2256762, -2821031?\nAnswer: -3385344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 + 208*f**3 - 3456*f**2 + 15552*f + 46656 = 0. What is f?\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 355 + -352. Suppose -n*f - 49 = -52. Are -3\/343 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12200 (base 3) to base 14\nAnswer: -ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -235*p - 15528. What is z(-68)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 - 7*o**2\/2 + o. Let p be 1*-3 + 1 - -4. Let w(m) = -21 - 13 + 36. Give p*b(l) + 7*w(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-3)*((-675)\/(-18))\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and -4945378.\nAnswer: 128579828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*a**2*y**5 - 120*a**2*y - a*y**2 - 25246*y**6 + 568*y**2 + 11*y wrt y?\nAnswer: -8940*a**2*y**2 - 3029520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 + 210. What is the greatest common factor of 799 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38724 divided by 6.\nAnswer: -6454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 15, 41, 89, 165, 275, 425?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/11))**(9\/4))**(-50) assuming b is positive.\nAnswer: b**(-225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o. Suppose -2*z - 4 = -i, i + 1 + 1 = 5*z. Suppose -i - 12 = 4*f. Is 20 a factor of k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5 - 60*b**4 - 184*b**3 - 72*b**2 + 188*b + 132 = 0.\nAnswer: -11, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 156 = -12. Suppose -2*k = -k - 3*h + 8, 3*k - 5*h + p = 0. What is the remainder when 11 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.79191548 + -171\nAnswer: -184.79191548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(-10\/11)*w**(-1\/3)\/(w\/(w**1*w))*(w**0)**(13\/5)\/(((w*w**(1\/6)*w)\/w)\/(w**(3\/7)*w)) assuming w is positive.\nAnswer: w**(183\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 3*l**2 + l + 2. Let s be 6\/(-8) + 46\/8. Let m = 8 - s. What is the units digit of b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2445551584?\nAnswer: 2, 7, 97, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 120*s**2 + 21*s - 111. Let h(r) = -12*r**2 - 2*r + 11. Let o(t) = 21*h(t) + 2*y(t). Find the first derivative of o(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -10366 (c) 2 (d) 8\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.38 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 7. Let h(k) = 5*k + 12. Let j be ((-1)\/2 - 2)*(-352)\/80. Suppose 0*u + z + j = -2*u, -5*u + 5 = -4*z. Let w(a) = u*h(a) + 5*x(a). Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167.41 - 166.91. What is the second smallest value in -0.3, 2, 4, w, -27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3894 is divided by 802?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11804072 (base 9) to base 14\nAnswer: -aa9d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*b - 8 + 135*b + 844*b**2 + 3.\nAnswer: 844*b**2 - 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11504297 and 0.0241.\nAnswer: -11504296.9759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/21 - (23628\/(-462) + 51).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + 3*n)*(-7 + 7 + 9*n) - 2 - n**2 + 3 + 4.\nAnswer: 26*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 0.15.\nAnswer: 12.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070223938 rounded to 6 decimal places?\nAnswer: 0.007022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*u - 25 = 0, -1 = -5*d - 4*u - 21. Suppose -9*h + 56 + 3112 = d. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/19)\/(b**1*b))\/(b**0\/b)**(-1\/13) assuming b is positive.\nAnswer: b**(-487\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g = 24*g - 18980. What is the smallest common multiple of g and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, k: 10, q: 1, l: 3, b: 1}. Give prob of picking 3 k and 1 b.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h - 110*h + 43*h + 45*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f + 4. Suppose 7*o = 2*o - 10. Let l(n) be the second derivative of -7*n**3\/6 + 5*n**2\/2 - 61*n - 4. Give o*l(m) + 3*p(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 + 130 - (0 - (1 + -2)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21)*(-42)\/3. Suppose -25 = -3*j - k. Let d(z) = -z**2 + 7*z. Give d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 47*u**7\/42 + 47*u**4\/12 - u**2 - 10*u. Find the second derivative of z(n) wrt n.\nAnswer: 2820*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-25)*170\/(-1258)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*y - 381 = -26, 3*y + 581 = 5*d. What is the highest common divisor of 92 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37424 + 37376.106. Let n = 48 + s. Round n to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 11 - 148*p + 148*p - 22*p**2.\nAnswer: -18*p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1940*g**3 + 7*g**2 + 5*g + 2. Let o be m(-7). Let b = -14270 - o. What is b rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from wkwklkwkkwwkkkkwf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-60)\/12) - (-1)\/45.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10b + 27?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u. Let x(o) = 7*o. Let m(w) = -6*q(w) - 5*x(w). Let a(i) be the second derivative of -10*i**3\/3 - i**2\/2 + 2*i - 3. What is a(m(n))?\nAnswer: -20*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 + 4. Suppose 3*u + 3*v = 30, 2*v = 2*u - 2*v + 4. Let k be l(u). Calculate the greatest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 + 171. Let h = 71.0000057 + v. Round h to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -164c + -2?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-304)\/(-4))\/4 + 2 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a second in milliseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 3*d + 5. Let w be t(4). Calculate the highest common divisor of 6 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00511021 to four decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257.62008 rounded to zero dps?\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.532956*-0.13\nAnswer: 0.32928428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -40. Let x = g + -21. Suppose -x*t - 3*q = -192, 3*t - 3*q = 6*t - 120. What is the greatest common divisor of t and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96595483 + -72350030021\/749. Let m = w - -124\/7. Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 3, h: 1, u: 4, x: 5, c: 3}. Give prob of sequence th.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 16, 13, 10, 7, 4?\n\"Answer: -3*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqe when three letters picked without replacement from {e: 4, k: 3, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - (sqrt(187) + -1*sqrt(187)*3)) + sqrt(187))\/sqrt(11)*-5*-4)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-81)\/12)\/((-88)\/30624) is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 98\/(-34) - (-583)\/(-561)*3. Put t, 41, -147 in increasing order.\nAnswer: -147, t, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 512800 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0014717 and 3.\nAnswer: 0.0044151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 423601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -288*r**7\/35 + 991*r**3\/3 + 50*r**2. Find the first derivative of h(l) wrt l.\nAnswer: -6912*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1182266 or 1182265?\nAnswer: 1182265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -255?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.12641671 - -2.12556. What is q rounded to six decimal places?\nAnswer: -0.000857","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2330, 2131, 1804, 1355, 790, 115?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206 and 4?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:43 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from {d: 5, e: 1, i: 1, j: 3, a: 1, b: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 69 = -94, -4*n - 21 = 5*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 67*q**2 - 475*q + 6951. Give f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/2 + 3*f**3 - f**2 - f + 11. Let y be p(-4). Suppose -4*c - 3*g + 24 = 0, c + 0*c - y = -5*g. Solve 5*a - c*a = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16218.99991767 - 16219. Round f to six dps.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.7271 micrometers to kilometers.\nAnswer: 0.0000000687271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1597, 2, -66.\nAnswer: -1597, -66, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5.42 times 11.8\nAnswer: 63.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66538 and 11048810.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/11*5192\/3894.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -10 - 60. Suppose 1080 = p*a - a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52441*n**2 - 32060*n - 4900.\nAnswer: -(229*n + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 56551014?\nAnswer: -56551024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-84)*(297\/60)\/(-11)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 5. Let s(w) = -1604*w - 79. Let o(t) = 243*t + 12. Let q(n) = -33*o(n) - 5*s(n). Suppose 2*l + 23 = 3. Determine l*q(m) - 2*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(242) - (1 + sqrt(242))) + 1 + -1*sqrt(242)*-1 + -3*(1*sqrt(242) + 2)*-3)**2.\nAnswer: 4840*sqrt(2) + 24684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 680435*k**2 + 12246210*k.\nAnswer: 5*k*(k + 18)*(k + 136069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/(-15) - (3 - 14).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 3*g - 5*g - 15 = 29*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = y - 462 + 8595, 5*y + 40550 = 3*a. Let u = y + 66113. Round u to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 3c?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 163418*u**3 - 163414*u**3 - 4*u**2 + 17 + 3*u**2 to the form v*u**4 + y + l*u**3 + i*u + n*u**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 20. Let z be n(8). Let a be (9\/z)\/((-24)\/(-16)). Let l = 0.85 - 0.9. Sort l, a, -0.3, -1 in decreasing order.\nAnswer: l, -0.3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04991703 - 4.24995503. Let d = q + 4.2. Round d to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*j - 1166 = 442, -3*t + 2*j = -961. Let l = 968 - t. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/64)\/((-65)\/80*-4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282821 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/52 - (0 + 1). Let h(j) = -j - 15. Let u be h(-8). Let s be (2\/(-15))\/(-1) + (-5)\/(-25). Which is the smallest value? (a) s (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 10*d**2 - 3*d - 72. Give n(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m, 0 = -4*f - 2*m + 14 - 0. Find i such that 12*i**3 + i - 7*i**4 - 6*i**2 - f*i + 3*i**2 - i = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228591 and 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 - 1832\/5. Which is the closest to -1? (a) 1\/2 (b) -29 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6791, -6795, -6799?\n\"Answer: -4*m - 6787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -23. Let r = -22 + k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 2*n**2 + 0 + 2\/3*n**3 - n. Differentiate r(v) with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*k**2 + 28*k + 0*k + 10*k**2 wrt k.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {x: 6, t: 2, s: 2, w: 1, a: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (258\/(-215))\/((18\/20)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 56, 3, 79, -4, 6 in decreasing order.\nAnswer: 79, 56, 6, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -24*q + 33. Sort 4, q, 0, -5.\nAnswer: -5, 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16472 and 6554010.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/6446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 2*b + 2. Let v(t) = -4*t**2 - 5*t - 5. Let p(i) = -5*l(i) - 2*v(i). Let h(c) = -2*c. Give p(h(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 50*i - 3. What is the remainder when p(2) is divided by (1\/(-4))\/(41\/(-1804))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6627236 or 4?\nAnswer: -6627236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.21, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 1091669 + 119505 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10281459 is divided by 19772?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvdvvd. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 4. Let z be a(3). Let x = z + -1. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2270874.22 and -7.\nAnswer: -2270881.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) -19\/149 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/24 - 0). Let p(i) = 3*i**2 - 18*i + 9. What is the tens digit of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28753 + 42402. What are the prime factors of j?\nAnswer: 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2 + 3. What is the tens digit of q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352620 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18335*b**4 - 2*b**3*p**3 - 36419*p**3 wrt b?\nAnswer: 73340*b**3 - 6*b**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 5*y = 8*i - 1, 3*i = 4*y - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.3137651 months?\nAnswer: 0.00109480425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (56\/84)\/((80\/276)\/(-10))*1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4*2\/4. Let h = 0.71 - 3.71. What is the closest to -2 in i, h, -3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1619 + 377. Let j be ((-4)\/10 - w\/(-120))*-8. Let l = 185 - j. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 21*a + 1368. Calculate o(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 600 and -0.07157.\nAnswer: -42.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/221676 and -31\/12?\nAnswer: 221676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:33 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzf when three letters picked without replacement from pwpczfp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1\/9*-3. Let v = 7 + -8.8. Let s = 2.3 + v. What is the closest to d in s, 0.4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2960 and 137374784.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-14) - (0\/(-1) - 2). Is h at least as big as 5\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192\/354*18\/(-12)*1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 15) in base 9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/5 - 16*q**3\/5 + 96*q**2\/5 - 256*q\/5 - 235. Factor b(t).\nAnswer: 4*(t - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19555 or -2\/7?\nAnswer: 19555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 255 - -2?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9191*g + 9278*g - 957 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 1, p: 1, v: 1, m: 1, i: 2}. Give prob of picking 1 m and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/16 - 122\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:24 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-2)\/(-2))*(-1182)\/(-10835)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -58.25.\nAnswer: -5.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2\/5 (c) 34 (d) 14 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -281 and -1401.\nAnswer: -1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*k**3 - 76*k*p + 2*p + 38 wrt k?\nAnswer: 39*k**2 - 76*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*n = 73*n - 1782 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/5208 and -143\/744.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5108 or 5107?\nAnswer: 5107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18c (base 15) to base 7\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*j**3 + 1495*j**3 + 429*j**3.\nAnswer: 2724*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -441*j**3*o*u + 2*j**3*u - 13*j**2*o**2 + 3*j*o**2*u - 4882*j*o + 2*o**2 wrt j?\nAnswer: -2646*j*o*u + 12*j*u - 26*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 30799954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23996771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(40)\/sqrt(5))\/sqrt(4).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-8)*10\/25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + 1 - (sqrt(208) + 0)) + (sqrt(156) + sqrt(156) + (sqrt(156) - -2*sqrt(156))*6)\/sqrt(12))*2)**2.\nAnswer: 152*sqrt(13) + 18776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**7\/504 - v**6\/36 + v**5\/6 - 5*v**4\/9 - 34*v**3\/3 - 2*v - 44. Let d(c) be the third derivative of g(c). Factor d(t).\nAnswer: 5*(t - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882152741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9129 is divided by 160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -147.4628?\nAnswer: 147.4628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45 + 2 + 0)*4. Let u = n - -24. Suppose -5*s + 23 + u = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 6*d + 5. Let q be x(-2). List the prime factors of 305 - (q - (0 - -4)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnneqaqv. Give prob of picking 1 e and 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1023 + 1048. Solve -p = -4*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/397970487 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/3))**(-2\/9))**15)**(-41) assuming j is positive.\nAnswer: j**(820\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1\/5, -0.3, 2, 0.4, -0.2, -2252?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10984687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, w: 3}. Give prob of sequence jw.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o - 64. Let r be c(-8). Suppose 3*w - 24 = 3*i, -i + r*w - w = -2. Let f be i*((-47)\/5 - 8\/(-20)). Is f bigger than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.5 (b) -678 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(1\/4)*s)))**2\/((s**(-1)\/s)\/s*s)**(-1\/55)*(s**(1\/4))**(-1\/3)*((s**4*s*s)\/s*s)\/s**1 assuming s is positive.\nAnswer: s**(5531\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 125338 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.97 times -0.5?\nAnswer: 105.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a + 2802 = 3914 - 1832 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 38. Let f(h) = h - 19. Let w(x) = 5*f(x) - 3*v(x). Let y be w(10). Are y and 9 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283295 is divided by 1194?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**4 + 40*x**2 - 4350*x. Let m(d) = 2*d**4 - 42*d**2 + 4348*d. Let t(s) = 3*k(s) + 4*m(s). Find the second derivative of t(n) wrt n.\nAnswer: -12*n**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1110110 (base 2) to base 16\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(2\/13)*j\/(((j\/(j**(1\/5)*j)*j)\/j*j)\/j))\/(j**(3\/5)\/(j*j**(-12))) assuming j is positive.\nAnswer: j**(-556\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 - i. Let y(w) = -13*w**3 - 677*w**2 - 2*w + 339*w**2 - 6*w + 343*w**2 + 11*w**3. What is -5*o(c) + y(c)?\nAnswer: 3*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose 2*k + 5*i - 11 = 0, -t*k + 0*i = i - 10. Factor -j - 5*j**3 + 5*j**5 + j**k - 3*j**5 + 3*j.\nAnswer: 2*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379368 and 1584?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6873, -27335, -61393, -109041, -170273, -245083?\n\"Answer: q**3 - 6804*q**2 - 57*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10430694?\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 110013 and 31?\nAnswer: 109982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/(2 + -8). Which is the nearest to v? (a) 17\/5 (b) -4 (c) -3\/7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = -2. Let s(n) be the first derivative of 1\/9*n**6 + 0*n**2 - 2\/9*n**3 + 0*n - 1\/6*n**4 + i + 2\/15*n**5. Find z such that s(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. What is the second biggest value in u, 3\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8975 less than or equal to 8991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**4 + 2*g**4 + 2*g**4 + 2*g)*(4 + 4 - 1).\nAnswer: 28*g**4 + 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -33. Let q be -3*(-1)\/u - 9 - -3. Let g(n) = n**2 + 7*n + 7. Calculate g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/(((a**(-2\/7)*a*a)\/a)\/a))\/a)\/(a\/(a\/a**(-2))))**(-3\/11))**(-1\/19))**40 assuming a is positive.\nAnswer: a**(1920\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = -4*d, d - 3 + 14 = 3*y. Suppose 2*x + 5*j - 20 = 9*j, -4*x + 40 = -y*j. What is the remainder when 137 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 31b0989?\nAnswer: 31b0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 <= -73\/6303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-19 + 36 + (-19 - -2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let b(v) = 30*v**2 + v - 16415. Give b(t(l)).\nAnswer: 120*l**2 - 2*l - 16415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46\/(-3) + 4\/(-6). Let n = -1 + 8. Calculate the remainder when 4\/p - (-101)\/4 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - 2. Let j be 5\/(-1) - 5\/(-1). Suppose -4*k - 2 = -2*k + d, j = -k - 5*d - 1. Sort 0, k, s in ascending order.\nAnswer: k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 111. Is c(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 7*g + c - 7, -2*g - c = -1. Calculate the remainder when g\/4*212*-1 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/2 + 1382*a - 2763\/2 = 0 for a.\nAnswer: 1, 2763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 y, and 1 p when three letters picked without replacement from ppptpnyj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331481175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 26*s**2 - 1588*s + 390. What is k(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h, 1 = 4*b - 2*b + 3*h. Suppose 3*k = 11*k + 648. Let q be 79\/(-9) + 18\/k. Let f(r) = 11*r - 9. Let a(s) = -5*s + 4. Calculate b*f(y) + q*a(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 3 + 15 + (-2 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4833*n - 10 + 6 + 4.\nAnswer: 4833*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(4 - 2) - 324\/60. What is the nearest to 13 in 0, m, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7755a (base 11) to base 9.\nAnswer: 181251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**7\/1680 - u**6\/288 + u**5\/120 - u**4\/96 + u**3\/3 + 4*u**2. Let f(y) be the first derivative of s(y). Factor f(k).\nAnswer: (k - 1)**2*(2*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4486542*-4\nAnswer: 17946168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - -26. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 2, p: 2, m: 1, h: 2, t: 1}. What is prob of picking 1 t and 2 p?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 302452241 divided by 302452241?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -n + 94. Suppose 4*v - 3*k = 27, 0 = -3*v - 2*v - 3*k. Is v > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614 divided by -2.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 5902.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.74 + 2.\nAnswer: 19.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-9 + 7 + -7). Sort 3, k, 35 in ascending order.\nAnswer: 3, k, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 1, 2, -5, -165 in ascending order.\nAnswer: -165, -10, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 2901.8?\nAnswer: 2895.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -859. Suppose -4*g = -3*r + 14 + 388, 5*r - g = i. Calculate the remainder when r is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(72)*-1)**2 + 1) - 3*2*sqrt(72)*-2.\nAnswer: 72*sqrt(2) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*k + 703 + 285, 5*t = 20. Calculate the greatest common factor of 8 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.61 + 0.91. What is j rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 7:27 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/7*(-28)\/8. Suppose 0 = 5*v - 35 - u. What is the greatest common divisor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -16*y - 1\/90*y**5 + 16 - 1\/27*y**3 + 0*y**2 - 1\/27*y**4. Let n(d) be the first derivative of m(d). Factor n(z).\nAnswer: -2*z*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 4. Let c be y(-7). Suppose -4*g - 4*r = -0*g + 296, 4*g = 3*r - 317. Let q = -69 - g. Solve c - q = -3*x + 2*h, 2*x = 3*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 18)*(3*x + 2 - 2) + x + 2*x - 5*x + (-2 + 4 - 3)*(2*x - x + 0*x) to o*x + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + h**2 - h + 1. Let l be u(1). Let r(g) = g**2 - 8*g + 1. Let t be r(7). Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(144\/(-24)))\/(1 - 235\/230)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 48696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82, 83, 84, 85, 86, 87?\n\"Answer: j + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029205534 rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d + 313. Does 13 divide w(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/5)\/((-14)\/5))\/(266\/(-5586)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16720800 to the nearest one hundred thousand.\nAnswer: -16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - (-2 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**2 + 26266296*f - 43119894097476 = 0.\nAnswer: 3283287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*s = -s + 15, g = -s. Solve -4 = g*b + b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195926589 divided by 9.\nAnswer: 21769621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from mmh?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from qqqffq.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11224, 11179, 11134?\n\"Answer: -45*d + 11269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -4, 10, 286 in descending order.\nAnswer: 286, 10, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**6\/12 - a**5\/5 - 7*a**4\/8 + 10*a**3\/3 - 3*a**2 - 25. Solve o(v) = 0 for v.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + 4*i**3 + 11*i**2 - 7*i**2 - i)*(4*i + 3*i - 3*i) in the form q*i + l*i**2 + t*i**3 + p + u*i**4 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1761 and 258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*p = -3*x + 254, 0 = x + 3*p - 76. Let g = x - 409\/5. Which is the nearest to -17? (a) -0.2 (b) g (c) 1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 5. Let g be z(0). Suppose g*w - 3 = 4*w. Suppose -4*y = -5*v - 65, v - 15 = y - 3*y. Solve -w*j = -5*j + y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1)*-7)\/(((-44)\/22)\/2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*x**4 - 5*x**4 - 2*x**4 - 2*x**4 - 6 with respect to x.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(252) - (sqrt(252) + -2)*-3)*-1.\nAnswer: -24*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -139 in -0.3, 3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from aaaauadooadou?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/1 - 126\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -153, -167, -181, -189, -185, -163, -117, -41?\n\"Answer: k**3 - 6*k**2 - 3*k - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2 = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14937 divided by -13.\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43306553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-26)\/c*c\/c**(2\/83)*c assuming c is positive.\nAnswer: c**(-1911\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1003, -2, -144, 5, -1, 4.\nAnswer: -144, -2, -1, 4, 5, 1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -27869.645 to the nearest 10.\nAnswer: -27870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4 = 6*q - 2*q, -3*q - 15 = -3*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3458400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-735)\/30 + 32)\/((-9)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*r + 44*r. Let y(x) be the third derivative of 0*x**3 - x**2 + 1\/60*x**5 - 1\/24*x**4 + r*x + 0. Find the second derivative of y(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 57 = 13*c + 2*i, 2*c + 4*i - 38 = 0. Let a(z) = -8*z**2 - 2*z + 33. Let k(q) = 15*q**2 + 3*q - 66. Let d(m) = 11*a(m) + 6*k(m). Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 + 9*g - 6. Let i be n(7). Suppose 0*b - 2*j - i = -b, 4*b - 4*j - 28 = 0. Let w(s) = -s**3 + 5*s**2 + 8*s - 2. Does 3 divide w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345874?\nAnswer: 2, 23, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 5*m - 12. Let a be 2\/7 - (-1584)\/42. Suppose 2*u = 5*h - h - a, h - 23 = 2*u. What is the tens digit of w(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5*((-100)\/8 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.969 - 0.031. What is the fourth biggest value in 5, 0.2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -286 - (-138 + 9) - -247?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-42)*6\/4. Let w = -3 - -2.5. Which is the closest to -2\/3? (a) -4\/3 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(144)\/sqrt(3))\/(sqrt(600)*1).\nAnswer: -1 + sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**3 - 10*x**2 - 6*x - 1. Let r(d) = d**3 - 9*d**2 + d + 11. Let l(w) = w**3 - w - 2. Let i(s) = 6*l(s) + r(s). Determine 5*h(a) - 6*i(a).\nAnswer: -2*a**3 + 4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.3 + 17. Let l = -17 - 52. Let h = 68.8 + l. Which is the second biggest value? (a) -3 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714300 by -75.\nAnswer: -9524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -12*t - 11\/2*t**2 + 0 + 1\/6*t**3. Let v be k(6). Sort v, -1, 5.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-91)\/56))\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28247 + 6666307\/236. Find the common denominator of 23\/22 and k.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -23. Let w = -10 + d. Suppose -x + w + 7 = 0. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27858, 27781, 27550, 27081, 26290, 25093, 23406?\nAnswer: 21145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171855976.\nAnswer: 2, 349, 61553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40, 1, 22, -0.3, 0.12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 23*h - 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*1*-10*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - b + 3 = 0, 3*b + 3 + 2 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -1.7. Let j = 0.2 - s. Let p be 1\/7*-1*1. What is the nearest to 1 in p, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1826741 and -0.0126.\nAnswer: -1826741.0126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 79, 152, 243, 346, 455, 564, 667?\n\"Answer: -r**3 + 18*r**2 + 2*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 + 12*i**2 + 4*i + 1. Let p(r) = -7*r**3 - 11*r**2 - 6*r - 2. Calculate -5*l(g) - 4*p(g).\nAnswer: -2*g**3 - 16*g**2 + 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -616b8 - 170?\nAnswer: -61828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**43\/(r**(-5\/2)\/(r**(-7)\/r*r*r)))\/(r**(-1\/8)*r\/r**(-2)*((r\/r**(-2\/3))\/r)**(-14)) assuming r is positive.\nAnswer: r**(71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -197, -5128, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-12)*-1*(-2)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 5*c**2 + 2*c**2 + (c - 2*c + 2*c)*(c - 3*c + 3*c))*(-39*c + 39*c + 44*c**2) in the form j*c + b + w*c**4 + z*c**2 + p*c**3 and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {v: 6, b: 8, e: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-4 - -4))*(3\/12 + 66\/(-232))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263 + 14*y**2 - 2*y - 12*y**2 + 567*y**3 - 19*y**2 + 17*y**2 wrt y?\nAnswer: 3402*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = 149. Suppose 7*s - 8*s + m = 0. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Suppose y = -r + b - 2, 5*r + b + 2 = 2*r. Let m(p) = 2*p + 1. Give m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 5, b: 2}. Give prob of sequence bb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 5*q - 3. Let r be c(-7). Suppose 0 = 2*k - 5*t - r, -3*t - 7 = -4*k + 2*t. Calculate the common denominator of 1\/2 and -3 - k - (-9)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15*2\/(7\/(-1232)*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 156*n**2 + 3*n + 24. Let j(s) = -312*s**2 - 7*s - 54. Calculate -9*d(p) - 4*j(p).\nAnswer: -156*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 9*g**5\/20 - 3*g**4 + 7*g**3\/2 + 12*g**2. Factor c(k).\nAnswer: 3*(3*k - 7)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - 50) + (17 + (11 - 13) - 26).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 383 - 4977\/13. Let z = -1.3 - -1.4. Which is the nearest to z? (a) -4 (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 185719 in descending order.\nAnswer: 185719, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 34, -6, -84, -212, -402, -666, -1016?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p**2 + 6*p + 5. Give b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**3 - 208*h**2 - 25*h - 5. Give o(-23).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 2*r**2 + r. Let u be s(2). What is the second derivative of k**2 + 5*k**2 - 15*k - k**u - 13*k**2 wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1372795\/280 - (-2)\/7) + 78\/(-624) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34934108.8 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -175879566158 and 5.\nAnswer: -175879566153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*b + 7. Suppose -16 = b*c - 4. Let h(u) = u + 1. Let n be h(-5). Put -5, c, n in descending order.\nAnswer: c, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - ((-666)\/203 - (-2)\/14). Is 0 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 30436622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 5*b + 69. Let r be g(0). Find the first derivative of 103*i - 51*i + r*i - 75 + 21 wrt i.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 5*x + 2. Let c be w(4). Solve -6 - c = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwjwwjwwjwwj. Give prob of picking 1 w and 3 j.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2665 at least as big as -2670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/((m\/(m*m**(-9)))\/m))\/m)*m**(2\/13)*m*(m*m**6)\/m**(-5) assuming m is positive.\nAnswer: m**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-222)\/7 - -2 - (-22)\/(-77). Let c(a) = -a**2 - 2*a + 1. Let d(o) = -35*o**2 - 15*o + 140. Let l(q) = z*c(q) + d(q). Factor l(x).\nAnswer: -5*(x - 11)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 35134\/19181?\nAnswer: 35134\/19181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179.141 - -0.141. Let c = -177.93768 + 0.42768. Let p = c - n. Round p to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -39*w**2 + 1441*w + 87. Give c(37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 0, -198 = -3*c + 3*x - 2*x. Suppose 0 = 3*w + 2*r - 35, -r + 2*r = -4*w + 50. What is the highest common factor of w and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198187 divided by -4609.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39820002*h**2*r**5 - 5*h**2*r**2 + h**2*r - 11*h**2 - 46*h + 4810*r + 2 wrt r?\nAnswer: -796400040*h**2*r**3 - 10*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l + 124. Give f(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(33)\/(sqrt(12)\/(sqrt(8)\/sqrt(2)))*3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 + 17*b**2 + 38*b + 15 = 0. Calculate b.\nAnswer: -5, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -53155070.\nAnswer: -5315507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1305*b**3 + 5*b**2 - 11734*b - 856189455.\nAnswer: -3915*b**2 + 10*b - 11734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v - 2042 - 2052 = 1346. Suppose -3*t = 4*k - 4, -3 = -2*t - 5*k + 2*k. Which is greater: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23065661303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00402 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 146 - 5?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1214, 4636, 8072, 11528, 15010?\nAnswer: 18524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 15*o + 34 + 106 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -62*h - 113. Let s(u) = 124*u + 225. Let k(f) = 11*j(f) + 6*s(f). Differentiate k(w) wrt w.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 18. Let m be g(9). Let h(u) be the first derivative of -1\/3*u**3 + 1 + m*u**2 + 0*u - 1\/4*u**4. Find the third derivative of h(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26265?\nAnswer: 3, 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 12:31 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l. Let u be g(0). Suppose -4*f = 5*q - u*q - 961, -1226 = -5*f + 2*q. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*u = -200*u + 254*u - 16380 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m. Let s(g) = -g**2 - 31*g + 5. Let d be s(m). Which is the nearest to 0? (a) 0.1 (b) d (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 19478294?\nAnswer: 97391470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymmmmymyyh. What is prob of sequence yyy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(8) + -4 + -2)**2.\nAnswer: -12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644686676?\nAnswer: 2, 5209, 30941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 - w**2 + 24*w - 2042. Factor b(u).\nAnswer: -(u - 4)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*a + 46*a - 83*a - 5 to the form n*a + t and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 68\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191310453 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*t - 31 + 12 = 0, -226 - 235 = 192*t - 77 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/29)*q\/(q*q**(-22)) assuming q is positive.\nAnswer: q**(644\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.2 + 12. Let q = 3.3 - c. Round q to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725 (base 9) in base 14?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -3. Suppose s + n*d - 55 = 0, 2*s = 3*d + 134 - 15. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 126087195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:37 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from cooaoak?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, m: 4, n: 1, z: 2}. What is prob of sequence nz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:13 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318200 and 330240?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -701 - -704. Solve 4*r + 5*a + 0 = -29, n*a = -r - 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232173089.\nAnswer: 97, 2393537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*q + 188 + 404 + 688 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 9. Let q be h(4). Solve g + 1 = -n, -q*g - n - 10 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = -4*g + 1023. Suppose 7*i - 330 = g. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 243, 293, 395, 567, 827?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11)*2) - 4*sqrt(288)) + 1.\nAnswer: -95*sqrt(2)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*g - 14*g + 437 = -4705 - 9378 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 + 345. Let v(m) be the third derivative of 0 - m**2 + 0*m**q + 0*m - 1\/8*m**4. Let p(s) = -4*s**2. Give p(v(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5882*k - 52933. Let w be r(9). Let c = 4 - 2. Let v = -4 + c. Sort 0, v, 27, w in ascending order.\nAnswer: v, 0, w, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -103*d. Let r(n) = -9*n**2. Give u(r(j)).\nAnswer: 927*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + f**2 - 9*f**2 + 2*f**4 + (f**2 - f**2 - f**2)*(3 + f**2 - 3) - f**4 + f**2 - f**2 + 3 - 2*f**4 - 3 - 1 + f**4 + 1.\nAnswer: -f**4 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 40 = 4*o + 2*i, 3*o + 5*i - 16 = 0. Suppose -21 = 11*l - 54. Calculate the remainder when o is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7012 is divided by 534?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 55 = 5*s, 0*s - 14 = -4*c - 2*s. Suppose c = -0*v + 2*v. Solve -1 = -v*a + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 1. Let i(v) = -5*v**2 - 1. Determine -11*d(o) - 6*i(o).\nAnswer: 8*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -304*l**2. Let d(x) = -24*x**2 - 3*x + 923. What is d(k(v))?\nAnswer: -2217984*v**4 + 912*v**2 + 923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhllhlxh. What is prob of picking 1 x, 1 l, and 1 h?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -428 * 1.78903\nAnswer: -765.70484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 47200*f. Let w(n) = n**2 - 5. Let h be w(0). Let b be r(h). Round b to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15120 (base 7) to base 15.\nAnswer: -1389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -313, -6 in increasing order.\nAnswer: -313, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 31*c = 16*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8408 is divided by 1077?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 27\/7, -216?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2451 is divided by 502?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8. Suppose r*v = 4*v - 16. Let y(a) = 6*a + 9. Let g(b) = 4 - 46*b + 91*b - 42*b. Calculate v*y(p) - 9*g(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7339658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/7)\/x*x**(-2)*x**(-1\/13)\/x**5 assuming x is positive.\nAnswer: x**(-787\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let z(t) = -t**2 - 7*t + 18. Let n(p) = 3*k(p) + z(p). Let v be n(-10). What is the first derivative of 3 - 14*g**3 - 5 + v wrt g?\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 - -221. Let f be (-11)\/(-51) - m\/21. Which is smaller: 0.31 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32301?\nAnswer: 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 532059185 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.04?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 25 = -h - 3*s, 12*h + 452*s = -6*h + 451*s + 41 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 5:54 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {s: 2, f: 3, z: 4, j: 1, t: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -73, -78, -67, -34, 27?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635965 is divided by 114.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-84)\/63 - (-40)\/3. Let o be (28\/b - 4)\/((-4)\/(-11808)). What is o rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-8) - (-11)\/(-44). Suppose -y = 2*y - 3*z - 102, r*z - 8 = 0. Suppose -d + y = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 6. Let d be z(-9). Let a = 5 + d. Suppose -o + a*o = 2*u - 49, 0 = 4*u + 5*o - 105. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -u + w + 9, -4*w = 5*u - 226. Let f = -1190 + 1972. What is the highest common factor of u and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + t - 3*t = -18, 2*t = 10. Suppose 0 = d + y*d + 5*f - 548, 3*d - 4*f - 593 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (37983\/44)\/((54\/(-9))\/(-264))?\nAnswer: 3, 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 942.84105.\nAnswer: 942.34105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbbrar. What is prob of sequence bra?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10 - 10 - 4 + 4*p - 3. What is the remainder when 49 is divided by h(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(3\/(-1)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6134238 and -69.\nAnswer: 6134169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 520, -3 in ascending order.\nAnswer: -5, -3, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 21. Let c(o) = -o - a + 21 + 28 + 7. Calculate the remainder when 13 is divided by c(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + g + (0*g + 0*g - 2*g)*(0 - 3 + 1) - 1 + 1 - 2*g + g - 4*g + 4*g)*(5*g + 4*g - 2*g).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11024 + 14210034?\nAnswer: 14221113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 240 = 3*s, 0*s = 2*s - 2*c - 172. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 4. Suppose 3*s + 7 = -s + 5*h, -j = -3*s + h. Is (4\/(-6))\/(s\/(-9)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let w(p) = 329*p. Determine i(w(m)).\nAnswer: -108241*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1158574879 to the nearest one hundred thousand.\nAnswer: 1158600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 12:46 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 89\/15*g**5 - 2\/5*g**7 + 0 + 31\/15*g**6 + 0*g - 16\/3*g**3 - 1\/3*g**4 - 10*g**2. Let a(x) = 0. Calculate x.\nAnswer: -1, -1\/3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4131 + -5450?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 11*w**8\/112 - 12*w**7\/35 + 3*w**6\/8 - w**5\/10 + 8*w**2. What is q in s(q) = 0?\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (0 + 5)) + -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7 + 12 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 5466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, 0.05, 11, 0.1 in increasing order.\nAnswer: 0, 0.05, 0.1, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, h: 1, c: 3}. Give prob of picking 1 c and 3 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/7 + (-39)\/(-1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/90 - 289013\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2601\/5*o**3 - 4998\/5*o**2 + 404\/5*o - 8\/5.\nAnswer: -(o + 2)*(51*o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 633*z + 213*z + 3 - 3 to the form k + t*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -9, -5, 0 in decreasing order.\nAnswer: 29, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -257959500 to the nearest 1000000.\nAnswer: -258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0118*-234477.\nAnswer: -2766.8286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**3 - 41*x**3 + 4550541*x + 3 - 4550541*x + 2*x**2 - 32*x**4 as m + k*x**4 + a*x**3 + v*x + y*x**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1192110.493236 from -3.\nAnswer: -1192113.493236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13552?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444507, -444547, -444613, -444711, -444847, -445027, -445257, -445543?\nAnswer: -445891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 111949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w - 7*w**2 - 30 + 6*w**2 + 9*w + 2. Calculate the remainder when 63 is divided by d(15).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*6\/(-4) - (-108)\/54. Solve 8 = 5*m + q, 4*m - 2*q - 2 = -i*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6776, -1421, 16062, 45673, 87412?\nAnswer: 141279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s. Let q(p) = -p**2 + 5*p - 5. Let m(g) = g - 1. Let f(z) = 5*m(z) - q(z). Calculate y(f(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 527. Let y be (-2)\/7 + f\/21. Suppose 5*g - 10 = y. Calculate the remainder when 14 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q**4\/3 - 18*q**3 + 2*q**2\/3 + 18*q - 28\/3 = 0. Calculate q.\nAnswer: -1, 1, 14\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and -74\/267.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 55979 = 2*k, -1312*y + 1307*y - k + 279859 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 1584\/41?\nAnswer: 1584\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 1\/25, 0.2, 5, 1.\nAnswer: -0.01, 1\/25, 0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2*n**7\/7 + 2*n**6\/3 + n**3 - 2*n**2 - 21. Find the third derivative of z(g) wrt g.\nAnswer: -240*g**3 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/3 + 41140*l**3\/3 - 41138*l**2\/3 = 0. Calculate l.\nAnswer: 0, 1, 20569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*w - 2 = 116*w. Suppose -x = w*r - 174, -328 - 44 = -4*r + 4*x. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 4*q**2\/3 + 425*q\/3 - 700.\nAnswer: -(q - 20)*(q - 5)*(q + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14162570?\nAnswer: 2, 5, 89, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94913303 from 24.2722.\nAnswer: -94913278.7278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**2 + s**2 - 17*s**2 + 5*s + 2*s**2 - 2. Give g(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((15\/(-9))\/5)\/(4\/(-48)). Suppose 2*v + 3*a - 6 = -22, h = 4*v - 3*a. Calculate the least common multiple of 5 and (2 + v)\/(10\/(-5)) + 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.811707 to two decimal places.\nAnswer: 33.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124818277, -249636552, -374454829, -499273108, -624091389, -748909672, -873727957?\nAnswer: -998546244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17578975 is divided by 1942.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 18 = -z + 4*q - 5*q + 6*q, 42*z - 5*q = -96 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -12. Let k = 4 - 3. Let o = -11.77 + 11.77. What is the closest to b in o, 2\/3, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 915057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:56 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9322 (base 11) to base 16\nAnswer: -304e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525 - 933. Let c = t + 334.2. Round c to 0 dps.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u + 0*u)*(1 - 4 + 4)*(30*u + 32*u - 21*u) + (-2*u + 2*u + u)*(1 + u - 1).\nAnswer: 83*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 2. Let n be v(2). Let p be 2874\/(-45) + n\/(-15). What is the tens digit of p\/(-6)*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/33)\/(5 + -17 + (-10 - (-1712)\/80))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:22 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95960 - 1?\nAnswer: -95961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122827.6 millimeters to centimeters.\nAnswer: 12282.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4183 - 4165. What is the remainder when 754 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -33*l - 16*l - 396 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.64 and -361472.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -45 + (-2323)\/(-46)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1 - 3\/(-1). Find the second derivative of 0*a - 2*a - 6*a**2 + 6*a**t + 6*a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -114*n**5 - 8*n**3 - n**2 - 3*n + 114. Let m(g) = g**4 + 2*g**3 + g + 6. Let o(q) = -j(q) - 4*m(q). What is the second derivative of o(v) wrt v?\nAnswer: 2280*v**3 - 48*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 15*g**2 - 16. Let r be o(15). What is the units digit of (r - -15)\/((-2)\/58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 77?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -175*z**2\/2 - 95*z - 95. What is the derivative of k(l) wrt l?\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(12 - -6). Let p = -13 - u. Which is the nearest to p? (a) -3 (b) 0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33440 divided by -880.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 + 49*d**2\/2 + 25*d - 148\/3.\nAnswer: -(d - 148)*(d - 1)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-6 - -1) - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132095 (base 15) in base 14?\nAnswer: 19c856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 81634?\nAnswer: -81633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/28)\/((-1)\/14). What is the greatest common divisor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = a - 25, a + c = 4*a + 5. Solve a*o + 5*o - 13 = -h, -o - 7 = -3*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -7) + (5 - -7) + 4 - -33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:49 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -0.2, 5\/6, 15\/176, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 670 + -564. What is the smallest common multiple of n and 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -56. Solve 0 = -5*w + y + p, w - 1 = 2*w + y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001667815 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 0*v + 0*v - 3*v**2 + 2*v**2 + 0*v**2 + v**2 - 4*v**2 + 0*v**2 + (v**2 - 3*v**2 + 0*v**2)*(-2 + 4 - 1) + (-2*v + 2*v - v)*(-1 - 6*v + 3*v - 1).\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 2*p + 5. Sort 0.5, p, 0.4, 7 in increasing order.\nAnswer: p, 0.4, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/900 - c**5\/60 - c**4\/15 + 20*c**3\/3 - 5. Let p(j) be the third derivative of r(j). Factor p(x).\nAnswer: -2*(x + 1)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/42)\/((-1)\/(-8))*6\/4. Suppose 0 = 4*d - 11 - 85. Let z be 3\/1*3\/d. Which is the nearest to -0.1? (a) -4 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**3 - 1632*p**2 - 4875*p - 3246 = 0?\nAnswer: -541, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n - 2*y + 2, n = 2*y - 2. Let v = -236 - -236.004. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:00 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 26596 - 933. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 + 6072*t**2 + 48732*t + 73152 = 0.\nAnswer: -6, -2, 2032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4610 or 4612?\nAnswer: 4612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14073*l**2 - 19049 wrt l.\nAnswer: 28146*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 2082.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 - 11\/(-14). Let o be (-4 + -3)\/((1 + -4)\/3). Which is the third biggest value? (a) d (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 236?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3. Let b(l) = -18*l + 108. Let i(a) = b(a) + 6*g(a). Let k be i(7). Solve 0 = 3*c - 15 - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*m, -z - 2*m + 10 = 4. Suppose -4*g + 14 = o, g + 34 = o - 0. What is the greatest common factor of o and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 6 - 15*x + 1 to the form s*x + d and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 2)*(0*w + 0*w + 6*w) - 2*w + 4*w - w)*(-108 - 38 + 26) to the form p + h*w and give h.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 6*p + 6. Let x(c) = 2*c**2 - 2*c + 1. Let g be x(1). Let w be g + 1*(-15)\/3. Determine a(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 15. Let s be h(1). Which is the second biggest value? (a) 1\/9 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5 - -3 - (-1372 - -1346)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 18*l**4 - 84*l**3 - 152*l**2 - 96*l.\nAnswer: -l*(l + 2)**3*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0905 and -410.3?\nAnswer: 410.2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591, -607, -623?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1556 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5933\/(-51))\/((-3)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u + 1. Let h(p) = 6*p**2 + 3*p. Let q(y) = -h(y) + 5*l(y). Let c = -7 - -12. Determine q(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3394492 millennia to months.\nAnswer: 4073.3904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 - 4\/8. Let r be (2 + j)\/(3\/2). Suppose 2*w - r*q = 3*q + 51, -5*w + 185 = -q. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 20*x + 92 = 0. Let v = x + -43. Suppose -4*a + 6 = -v*h, h + 4 = a - h. Solve -3*i + i = a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(u - 4*u - 2*u)*(u**2 + 2*u + 2*u - u).\nAnswer: 5*u**3 + 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 8*r - 13. Let f be d(5). Is 7332\/8*f\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236 * -101.37\nAnswer: 23923.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.63 + -1.43. What is the closest to 0.12 in j, -5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -980.80134 to the nearest 10.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996442978 to the power of 1\/3, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:45 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8146, -8150, -8158, -8170, -8186?\nAnswer: -8206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 + 199 = -4*b - x, 52 = 19*b + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 45247*b - 1990858. What is f(44)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 1 - 1)*(-1 + 6 - 4) - 4*v + 3*v + 3*v - 3*v + 3*v + 5*v)*(5*v**2 - 10*v**2 - 4*v**2).\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 790 divided by -5\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqfnf. Give prob of sequence xqf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and 91\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8 + 14*l**2 - 14*l**3 + 3*l**2 + 16 + 8*l. Let o(d) = -5*d**3 + 6*d**2 + 3*d + 3. Suppose 3180 - 3216 = -12*k. Give k*t(p) - 8*o(p).\nAnswer: -2*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-24)*4)\/(35\/14)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -14. Let s(r) = -a + 3*r + 2*r - 1 + 4. Let n be s(1). Solve -6 = n*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(16275*k + 710*k**2 - 16275*k).\nAnswer: -710*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by -142\nAnswer: 96\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -376*l**6 - 500*l**2 wrt l.\nAnswer: -45120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -11380?\nAnswer: 11392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apcdcppappcdfcbppppf. Give prob of picking 3 p.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729647401 less than 164.31?\nAnswer: -1729647236.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 92*w**4\/5 - 728*w**3\/5 - 132*w**2 + 12176*w\/5 - 2176 = 0.\nAnswer: -4, 1, 5, 136\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415262 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3000 + 3014. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*p - 344, 4*r - 721 = 4*p + 631. Suppose 25*z - 6*z - 1292 = 0. What is the greatest common factor of r and z?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -475, 2, 16.\nAnswer: -475, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 4*p**2 - p - 2. Let g be a(2). Suppose -6 = 4*i + l, i + 13 - 3 = 4*l. Let y = i - g. Solve 4*c = 2*c + y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -12. Let d(m) = -m**2 + 5*m. Let q be d(w). Solve 3*z - 3*h + 6 = q, 0 = 2*z - 2*h + 4*h + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25004 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.288843 rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*l**5 - 220*h**3*l**2 + h**3*l - 36*h**3 + h**2*l**2 + 1031*h*l**6 wrt l?\nAnswer: 180*h**3*l**2 + 123720*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*l**3*t - 6*f*l**3*u**2 + 2*f*l**2*t*u + f*l**2 + 2*f - 2*l**3*t*u**2 + 2*l**2*t*u**2 + 5*t*u**2 wrt l.\nAnswer: 6*f*t - 36*f*u**2 - 12*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 684230822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2))*z)\/((z\/(z*z\/(z*z\/(z**8*z))*z))\/z))**24*(z*z*z\/((z**(-1\/4)*z)\/z)*z)**(2\/81)*(z**(-1))**43 assuming z is positive.\nAnswer: z**(43595\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:09 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 4:00 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -620, -636, -642, -632, -600, -540, -446, -312?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*j + 38, 3*j + 12 = -5*k + 53. Solve -3*z - 1 + k = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 0.01115, -0.6, 1 in decreasing order.\nAnswer: 1, 0.2, 0.01115, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 303509 or 303508?\nAnswer: 303509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 6. Let a be z(-6). Find the first derivative of -m**3 + a*m**3 - 1 - m**3 - 2 wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let q be w(0). Suppose 110 = 5*t - q*t. What is the smallest common multiple of t and 112\/20*(-5)\/(-2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 23880*q - 310284. Determine k(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7332.45536 to 1 dp.\nAnswer: 7332.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 8:36 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*y = -25, 3*y + 25 + 2 = -7*j + 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 17*t**2 - 3*t**2 - 9*t**2 + (-4*t + 4*t + t)*(-3 - t + 3) + 0*t + 0*t + 6*t**2.\nAnswer: 10*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1690 - 22a6?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49032384*y**4 - 9*y**3 + 2247819*y**2 + 181?\nAnswer: -1176777216*y - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*q + 2*q**3 - 157471*q**2 - q**3 + 157469*q**2 + 1 + 5*q**4 to y + d*q**3 + x*q**2 + m*q**4 + b*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 330000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfqf. What is prob of picking 1 y and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**3 - 10*n**2 - 12*n - 2. Let s(k) = -6*k + 16*k + 15*k**3 - 1 + 13*k + 5 + 20*k**2. Let r(t) = 7*g(t) + 4*s(t). Factor r(i).\nAnswer: 2*(i + 1)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 227.3242 weeks?\nAnswer: 38190.4656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -468285682 or -468285681?\nAnswer: -468285682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2290*z + 1992 - 4879 + 238*z wrt z.\nAnswer: 2528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 6*v. Suppose -5*l - 5*y - 5 = v, l + 0*y = -3*y - 5. Solve 0 = -2*m - u + 2, 5*m + 2*u + 2*u + l = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1 - -3 - 7. Suppose -2*j + 6 + 38 = 0. Calculate the lowest common multiple of 2*(s + 1)*-1 and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 232443913 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4970 = -140*o - 770. Calculate the highest common factor of o and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztbw when four letters picked without replacement from btkwzzh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (2\/4)\/((-1498)\/(-95123)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6439*b - 418533. Determine l(-65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((6\/16)\/(-3*9\/18)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -20 + (-2 + -1 - -4) + 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5085 by 5.\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8702*g - 78328. Determine c(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - f**4 - 4*f**3 + 2*f**4 + f**3 - 5*f**2 + 7*f**2 in the form m*f + d*f**4 + b*f**2 + y + n*f**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, 120, 182?\n\"Answer: 62*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -231966615 rounded to the nearest one million?\nAnswer: -232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-98)\/280)\/(1\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246350 divided by 650?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29898767083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359918975?\nAnswer: 5, 7, 29, 271, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3373*q**2 + 947 - 2850 - 1936*q**2 wrt q?\nAnswer: -10618*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 59*d + 43. Calculate o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -20*g - 89. Let h be j(-11). Suppose h = 4*z - 205. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.317 + -0.417. Let c = 1.9 + b. Put -3, 0.1, c in descending order.\nAnswer: c, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 229. Let j = r + -53. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142063, 284126, 426189, 568252?\nAnswer: 710315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34452 divided by -957?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 f when three letters picked without replacement from {p: 1, x: 2, j: 1, o: 1, f: 1, l: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 271634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/99 and -5\/4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 8*t**3 - t + 4*t**2 - 3*t**3 + 0*t**3 to the form n + y*t**2 + s*t**3 + l*t and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173890182 to the nearest integer?\nAnswer: 13187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2930 = 229*y + 10352 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.47 + -1.47. What is the nearest to 2\/9 in b, 0.4, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*s = 3 - 1, 5*s = v + 4. Let z = 33 - v. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 1764*u**4 - 1204*u**3 - 4072*u**2 - 1136*u - 32 = 0?\nAnswer: -1, -2\/7, -2\/63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172060 and 8260.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 5, -7, 10\/9, 4?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 20*x - 18. Is v(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r = -27. Solve 3*n + 0*n - r = p, 5*n - 5*p - 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4*a**2 + 16 + 2*a**2 + 0*a**2 to d*a**2 + q + r*a and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 50331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**8\/x)))\/x**(1\/8))**27*(x**(-5)*x*x**(-8))**(-5\/3) assuming x is positive.\nAnswer: x**(1645\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a + 3*t, 0 = 5*a - t + 8 - 1. Let x(j) = -j + 1. Let y(l) = -3*l + 6. Let z(q) = -2*q + 6. Let n(g) = -5*y(g) + 4*z(g). What is a*n(u) - 5*x(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 105 - 169)*(0*l + 10*l + l)*(0 + 0 - 3*l).\nAnswer: 10362*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27367 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**5 + 2558985*n**4 + 12794840*n**3 + 20471700*n**2 + 10235840*n = 0. What is n?\nAnswer: -511792, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q - 74*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/678 and 113\/6?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 2*o)*(3*o + 7*o + 12*o)*(-1 + 3*o + 1) + 2*o - 2*o + o**3.\nAnswer: -65*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 3*k + 4. Let a be c(-2). Suppose a + 2 = -4*d. Let u(l) = 4*l**2 + 3*l + 3. Determine u(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -54. Let o be (31\/(-5))\/(j\/2668). Let v = -711 + o. What is the common denominator of v and -31\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/5 + 76\/(-190). Suppose -9*b + 4*b = 4*o - 72, -h*b = 5*o - 99. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2*a - 5, 16*l + 4*a + 9 = 17*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3609 and 8739.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 9203298.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*s + 30 = 4*h, -5*h + 10 = -3*s. Let f(b) = -b**2 + b - 1. Let r(z) = 3*z**2 - 8*z + 3. Give s*f(w) + r(w).\nAnswer: -2*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3808 by 28.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6026274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 21 + 126 = 0. Let d be 480\/27 + 4\/18. Suppose -5 = m + 3*q - d, 0 = 3*q. Calculate the remainder when m is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + (-3 + (7 - -1) - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620090*t = 620031*t + 3292 + 4201 for t.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949306?\nAnswer: 2, 47, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23228*b**5 + 46323*b**2 wrt b.\nAnswer: -1393680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670659 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 42549.55469 to the nearest integer.\nAnswer: 42550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1011001110 (base 2) to base 7\nAnswer: -2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 39818ab?\nAnswer: -39818b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25806)\/(-41140)*-44)\/(-3*2\/20 + 0)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 35*j\/3 + 34\/3.\nAnswer: (j - 34)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdfxvvdxvtddfddddtx. Give prob of sequence fdvt.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10)*6\/3)\/((-13)\/(-169)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f**3 + 2*f**3 - f**4)*(88 - 75 - 62) - 3*f**2 + 3*f**2 + 2*f**4)*(15*f + 2*f - 4*f).\nAnswer: 663*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 427531 to the power of 1\/2, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v - 14*v - 11 + 29*v)*(5 + v**2 - 5).\nAnswer: -2*v**3 - 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b491 - -73?\nAnswer: b544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 12*p**2 - 7*p - 41. Let r be l(11). Suppose -4*c = -3*t - 29, 5*c - 2*t = 33 - 2. Suppose w - c + 3 = 0. Solve -w*j - r = 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-175)\/56 - 2\/(-16). Let q(t) = 2*t**2 - t - 5. Is 16 a factor of q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160863 - -161524.31. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -20*b - 15. Let a(z) = -z + 19. Let r(w) = w - 9. Let n(l) = b*r(l) - 3*a(l). Let t(i) = -i**3 - 4*i**2 - 6*i - 33. Let d be t(-4). Give n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 - 5 + 6 + 5*d. Let a(n) = -n. Give a(w(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 9 - 1) + -11 - (-106 - -40)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 - a - 1. Let d be (2*-3)\/3 - -5. Let z be h(d). Let l = -2963 + 2968. Put -3, z, l in descending order.\nAnswer: z, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 12 = 5*a - 5*h, -2*a = -3*h - 20. Let v be (-6)\/(-63)*(-22)\/a. Let p = -1\/7 + v. Sort -1\/3, p, 0 in decreasing order.\nAnswer: 0, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:23 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1049\/6474 - -5\/1079. Suppose 3*n + 7 = -5*x - 7, 2*x - 4 = 2*n. Which is the nearest to 0? (a) t (b) n (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/37, 23262\/19, 6\/5 in decreasing order.\nAnswer: 23262\/19, 6\/5, 1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 44)*(0 + 0 - 1)*(-20*v**2 - 4*v**2 - 10*v**2).\nAnswer: -1428*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 741 * -0.49.\nAnswer: -363.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*j + 24, 0 = -2*a - a - j + 11. Find w such that 83*w**3 + 11*w**4 - 13 - 57*w**3 - 27*w + 4*w**4 - 8*w**a + w**5 + 6*w**2 = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22010212200 (base 3) in base 2?\nAnswer: 100111001000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-4*l + l - l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/280 - f**4\/14 - 2*f**2 - 79*f. Solve k(l) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 36 - 61. Solve 21*w - 4 = i*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 2, u: 1, m: 5}. What is prob of picking 1 u, 1 w, and 1 y?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaeaeeaea. Give prob of picking 2 a and 2 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.55737 millilitres to litres.\nAnswer: 0.02255737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keer when four letters picked without replacement from rekrerereer?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 260 = -3*k - 3*g, -156 = k - 5*g. Let r be (-6)\/4 - k\/(-16). Let d be ((-42)\/(-35))\/((-4)\/r). Solve -d = -2*o + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29664 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/6)\/5*3\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 17*w**2 + 12*w**2 + 6*w**2 + 6. Let k be t(-4). Find the third derivative of 5*y**3 + y**3 + 11*y**3 + y**k + 16*y**2 wrt y.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 5) in base 6?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - y = 1, -12*f + 15*f - 3*y = -15. Calculate the smallest common multiple of 1034 and f.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24882 and 1247268.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*j = -16, -5*g + 4*g = -3*j + 11. Suppose 0 = 4*a - g - 3. Let r = 0 - a. Sort -2, -4, r in ascending order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/120 - p**5\/12 - p**4\/8 - p**3\/6 + 200*p**2. Give f(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 5*l**2 - 17*l - 4. Is n(7) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 81, 94, 107?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14541 less than -14544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2. Let z(m) = 4*m - 47. Let k(a) = -22*g(a) + 2*z(a). Let w be k(9). Solve -w = y - 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/53)\/o)\/o)\/o**(-18) assuming o is positive.\nAnswer: o**(846\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2640 + -2639.9. Let s = -0.3 + -0.7. What is the second biggest value in -4, k, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 10*i**2 - 8*i - 12. Let y be a(11). Suppose -956 = 17*d - y*d + 4*z, -d + 219 = -5*z. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22002.7996*5.\nAnswer: -110013.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 522970100102 and -0.09?\nAnswer: 522970100102.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - 55. Let c = -296844 - -296768. Do t and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - j**2 + j + 56. Suppose 0 = 2*h - 6, 13 = 2*u - 5*h + 28. Let v be w(u). Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/4 + 5547*g**3\/2 + 7689267*g**2\/4 - 1186658616*g + 137295567552.\nAnswer: 3*(g - 208)**2*(g + 2057)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 314 in descending order.\nAnswer: 314, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12\/5, -3\/10, -35\/3, 2\/5, 1.\nAnswer: -35\/3, -3\/10, 0, 2\/5, 1, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/7 + 363728*x**4\/7 + 29471734*x**3\/7 + 87229220*x**2 + 524008000*x\/7 - 1164448000\/7 = 0. What is x?\nAnswer: -40, -2, 1, 181945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-321)\/(-45) - (-12)\/18) + (-11564)\/4130?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5 = -2*u, -162*f + 158*f - 2*u - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 92 - 201 + 99 to the form o + g*l and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(((-12)\/6376)\/3*1). Let h = -5605 - l. Suppose 1886 = 4*t + z + z, -5*t = 4*z - h. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23130 divided by 3\nAnswer: -7710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 115 = -3*j, -2*j + 4*b - 77 = b. Let f = j - -39. Let t = 129\/2135 - 1\/305. Which is greater: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*g - 13 = -151 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2860710, -5721425, -8582144, -11442867?\nAnswer: -14303594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**4 - 2451*a**3 + 19740*a**2 - 49452*a + 39600 = 0.\nAnswer: -825, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 11*z - 13. Let n be v(9). Let u = n + 4. What is the remainder when 33 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 + -3 + 11 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1088) + -5 + 6*2*sqrt(1088))**2*-4 + -5.\nAnswer: -213353 + 2240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11650645 is divided by 151307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 11:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.9885ml to litres.\nAnswer: 0.0839885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 433\/4 - (-2 + 63\/28). Suppose -z - 5*z + k = 0. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 29. Suppose 30*l - 39*l + 1642 = -5648. Calculate the highest common factor of p and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((132\/8)\/3)\/((-2)\/(-4)). Suppose -i - 29 = -m, -5*i = 4*m - 163 + k. Let f = 21 + -3. Calculate the remainder when m is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**7\/2520 - 7*h**6\/720 - h**5\/20 + 19*h**4\/12 + 25*h. Let u(k) be the third derivative of t(k). What is u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 4*g + 2*g)*(-34 - 29 - 34)*(6 + 2 + 1) in the form w + v*g and give v.\nAnswer: 873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2658114, 5316231, 7974350, 10632471?\n\"Answer: m**2 + 2658114*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1257*l**2 - 4. Let x(v) = 64*v**2. Give f(x(n)).\nAnswer: -5148672*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4528, -4533, -4538, -4543, -4548, -4553?\nAnswer: -4558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 210 + (-130 - (24 - 49))\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28 - -8) + 4)*3\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/(3 + (-85)\/45).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5\/2, -87, 44, -4\/3 in decreasing order.\nAnswer: 44, 3, -4\/3, -5\/2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 7*z**2 + 14*z - 13. Let p(u) = u**3 + 7*u**2 + 13*u - 13. Let f(o) = -4*p(o) + 3*r(o). What are the prime factors of f(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 2530940.\nAnswer: 2530940.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5490\/(-324))\/(-61)*-128*(-6)\/60.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 325383157 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9700405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 7*h + 0*h**4 + 0 + 0*h**2 - 1\/5*h**5 + 1\/6*h**3. What is the second derivative of i(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 4) + 1\/(2\/248) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97742929639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10451 is divided by 4898?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(6*sqrt(864) - sqrt(24))\/((sqrt(96) - sqrt(96)*-3)\/sqrt(8)))**2.\nAnswer: 30609\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + 10 + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 0.3.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.18 * -0.2546.\nAnswer: 1.318828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/3 - 694*y**3 - 170964*y**2 + 5043096*y - 23953104 = 0?\nAnswer: -534, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 35871.1416 minutes?\nAnswer: 3.558645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - h = -0*h + 3780, 0 = -2*h - 4. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 38 = 3*j. Let t be 6\/8 + (-30)\/j. Find the third derivative of 2*c**6 - 3*c**6 + 10 + c**t - 10 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10333 (base 4) to base 7\nAnswer: -634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p - 535. Let u = p - -822. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:44 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2121840127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 19*k + 11. Determine s(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 15 = -9*f. What is the least common multiple of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(700) + -2 + -2 + (sqrt(700) + -1 - sqrt(700))*4 + 2)*-3)**2.\nAnswer: -9720*sqrt(7) + 59616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 26 + 11 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/35 - 2\/7. Let m be 9\/((-45)\/(-10)) - 1. What is the closest to 0.1 in -0.3, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.97*1.\nAnswer: 1.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*m + 1, -2*m = 3*n - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-139471)\/(-2532) + 26\/(-312)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*y + 1 + y**3 - 453017*y**2 + 453017*y**2 as b*y + j*y**2 + c*y**3 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + 14.98. What is the fourth biggest value in -3, g, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -22, -49, -88, -139, -202?\n\"Answer: -6*o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6314.6 * 5\nAnswer: -31573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11412343 (base 6) in base 11?\nAnswer: -226162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, a: 7, x: 5}. What is prob of sequence xa?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -379*n**2. Let x(w) = w. Calculate x(y(i)).\nAnswer: -379*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-5 - (11 - 8)). Let s = -8 + 10. What is the third biggest value in -1, -3, r, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (125274\/104395)\/(-2 + 323\/160)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (24 + -17 - 35).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = c + 5*c. Let y(s) be the third derivative of -1\/630*s**7 + c + 0*s + 0*s**3 - 1\/180*s**5 + s**2 - 1\/180*s**6 + 0*s**4. Factor y(a).\nAnswer: -a**2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 90*l + 2268.\nAnswer: -2*(l - 63)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7761431 is divided by 3703?\nAnswer: 3646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*t - 1812 = -960*t + 1540*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 8*k - 8*k + 69. Is x(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hgphhhbgppqghph.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-42)\/(-4) + -3)\/(9\/6). Solve b*o = 5*s - s - 16, 0 = -3*o - 4*s + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 5 = v + 3*j, 0 = v + 4*j - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 333*h + 2. Let d(m) = -441*m**2. Calculate j(d(k)).\nAnswer: 583443*k**4 - 146853*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -647.\nAnswer: -76\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16 - 24 = 0. Suppose 3*h + h + 3*l = 22, -5*h = -5*l - q. Suppose -87*s = -82*s + 15. Sort 0, h, s.\nAnswer: s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471652608.\nAnswer: 2, 3, 7, 59, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51548 or -1\/2?\nAnswer: -51548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 1, r: 6, p: 2, k: 4, j: 4}. What is prob of sequence krjw?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 - 1. Let x(j) = j**2 + 26*j - 28. Let b be x(-27). Calculate a(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -0.455827239?\nAnswer: -2.544172761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 5. Let g be j(-4). Let n(i) = -15*i - 1. What is n(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 706762 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 27*j = 26*j - 908, 2*j + 2726 = 3*s. Calculate the greatest common factor of 98 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4113 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 694 + -647. Suppose -179 = -5*t - b, 4*b - 7*b = t - l. What is the remainder when 346 is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -2. Suppose 2*i = 6*i - q + 23, -5 = 5*q. Let k be i\/(-2 - (2 - 0)). Which is the biggest value? (a) k (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*z + 11, 0 = -l - 6*z + 2*z - 23. Suppose 6*n - 10 = -2*a + n, -3*a = 5*n - 10. Is l less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43\/8, -24.2, 0.4?\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.98 + -1.68. Let w = -254870.70033 + 254872. Let f = w - u. What is f rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -102?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = 3*h + 2*a, 0 = -3*a - 9. Let l be 0 - (-4 + (h - 2)). Solve 1 = l*q + f - 0*f, 0 = -f + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 7. Let l(g) = 6*g**2 + 15*g - 5. Let r(k) = -4*k**2 - 10*k + 3. Let f(v) = -5*l(v) - 8*r(v). Is f(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14237\/5 - 2828. Let w = 20 - f. Let n = 190\/21 + -28\/3. Put n, w, 3 in increasing order.\nAnswer: n, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*l, 4*l + 6 = 106*s - 96*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f + 9. Let d(o) = -7*o - 20. Let c(h) = 3*d(h) + 5*l(h). Let m(y) = -y - 10. Give 5*c(i) - 7*m(i).\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, s: 5, u: 3, d: 5, f: 2}. Give prob of picking 1 u, 1 s, and 1 d.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*g = 6, 3*g = -4 - 8. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:20 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -50*a + 49*a + 33 - 7, 42*q = -4*a + 1092 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.221483mm?\nAnswer: 6221483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -897 + 899. Which is the fourth biggest value? (a) 5 (b) -0.2 (c) y (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5350 + -3670. What are the prime factors of u?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -5.7, -0.3, -3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v = -60*v - 66 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 28704602*z - 28704602*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1998012 divided by -786.\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d + 8. Suppose 4*f = -4*k + f + 84, 0 = -d*k + 4*f + 74. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -0.41. Let o = -0.05 + t. Let j = -43769.7 - -43770. Is o at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 158\/19*c**2 + 0*c + 0 - 2\/19*c**3 = 0. Calculate c.\nAnswer: 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.36 - -2.05. Let p = -3.5 - m. Let q = p + 0.156. Round q to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 6*((2*sqrt(7))**2 + sqrt(7)) - sqrt(7)) + 5.\nAnswer: -163 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 2*v. Suppose -6*r + 1017 - 1029 = 0. Let i be d(r). Solve i = -8*l + 9*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2490\/17 <= -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 10. Give h(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -37, -74, -119, -172?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23588341758 + 0.4\nAnswer: 23588341758.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12838\/181317 + -2\/3181. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 1. Let i(u) = 51*u**2 + u. What is i(h(q))?\nAnswer: 51*q**2 + 103*q + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*3*(-21)\/(-14). Let h(c) be the first derivative of 2*c**2 + 60*c + 52. What are the prime factors of h(r)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**7\/252 - h**5\/15 + 5*h**4\/12 - 4*h**2. Let q(k) be the second derivative of a(k). Differentiate q(j) wrt j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 139*i + 2*i**2 - 139*i. Let a(c) = c**2. Determine a(v(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/124741 and 13\/17192152?\nAnswer: 1358180008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -402, -366?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - (137 - 34) - (1 + 34 + 0).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 913 - 552 - 326.\nAnswer: c - 1791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 326*h + 990*h + 1162*h - 123900 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c - 2. Let d be h(-2). Suppose 7*i - 11 = 255. Let z = i - 35. Is d bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*-5 + sqrt(20)\/sqrt(4)*-5.\nAnswer: -10*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*x - 678218 + 4*x**3 + 678217 + x in the form y*x + f + h*x**3 + r*x**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3763*q - 3749*q + 369 + 165 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -970 + 132.2.\nAnswer: -837.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p + 171863 = -40125. What are the prime factors of p?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:39 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -246*z - 738. Let b be n(-3). Let l = 6 + -2. Suppose b*w = 3*w - l*u - 336, 0 = 2*u - 6. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 141*b**2 - 3. What is the units digit of f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/3600)\/((5\/50)\/(12\/(-5))).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 9*q**2 - 75621*q - 50418 = 0?\nAnswer: -2\/3, 8403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0, -4, -40, -59, -2, -5 in decreasing order.\nAnswer: 0, -2, -4, -5, -25, -40, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(5)) + sqrt(5) - (-4 + 1 + sqrt(5))**2.\nAnswer: -18 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*q - 1, 0 = 2*q - 0*p + 3*p + 7. Let i be -5 + q + 30 + -5. Calculate the greatest common factor of i and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -13 - 17 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -51*v**5\/2 + v**4\/12 - 84*v**3 + 1176*v. What is the second derivative of p(g) wrt g?\nAnswer: -3060*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 20, 48, 96, 170, 276?\n\"Answer: r**3 + r**2 + 4*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 71*b - 17. Let q(y) = y**2. Determine a(q(g)).\nAnswer: g**4 - 71*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p = 685 - 821 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*h - 3*h + 27, p = -1. Let u be 1 - ((-60)\/h - -5). Let z(d) = d**2 - 6*d - 4. Determine z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4824, -19527, -44102, -78549, -122868, -177059, -241122?\n\"Answer: -4936*h**2 + 105*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:49 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) + 38\/14. Let g = 1939 + -17437\/9. Is g at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/7 + 11)\/1. Solve 5*v = -3*s - 34, 8*v + 3*s + m = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170600*r**2 + 127334*r?\nAnswer: 341200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - 2976\/(-48))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjjsassjsjsasajssa. Give prob of picking 1 a, 2 j, and 1 s.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:06 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -98*p**2 + 15683*p - 476. Calculate n(160).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - 9678*x + 106069. Give m(11).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 68605.53mm?\nAnswer: 68605530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*m**2 - 371*m**2 - 21*m + 32*m as p*m + g + c*m**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 282917236*f**2 - 282917238*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1863 and -0.01.\nAnswer: -18.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 343?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*l**4 - 67*l**2 + 457 + 67*l**2 - 41*l**4 - 18*l**4 wrt l?\nAnswer: -436*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155266601?\nAnswer: 7, 22180943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480289.\nAnswer: 103, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f - 4 = 211 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39145512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.83633 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8003\/4564 - -4\/1141. Is 34\/5 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 1. Let c(b) = 4*b**2 + 5*b - 9. Determine -c(z) - 5*s(z).\nAnswer: z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, h: 6, t: 2, d: 1, f: 2, q: 3}. What is prob of sequence qm?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a**2 - 16*a**4 - 20*a**4 + 38*a**4 + 104*a wrt a.\nAnswer: 24*a**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/2 of a week?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*s + 10 = -2, 5*c - 9 = 3*s. Suppose 3*m - 3*k - 18 = c, m + 5*k + 12 = -12. Solve -m - 1\/4*l**2 + l = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9041*f*j**4 + 23081*f*j**2 wrt j?\nAnswer: -216984*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*k - 12 = 0, 0*k = -l - 5*k - 8. Suppose -15*n + l*t = -10*n - 18965, 2*n - 7586 = -3*t. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -234, -5, 0, 3 in ascending order.\nAnswer: -234, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 173081*d**3 - 45*d**2 + 44*d + 1. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -197*r**3 + 1378*r**2 + 13*r - 40. Calculate h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*h + 12, 39914*h - 39919*h - 2*k + 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18 = 2. What is the smallest common multiple of 138\/8 - (-1 - (-10)\/k) and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 266.78 and 0.3?\nAnswer: 266.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962.1448 kilograms to tonnes.\nAnswer: 0.9621448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -25. Calculate the common denominator of -125\/12 and -101*c\/(-40) - (1 - -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**4 + a**3 - 738*a**2 + 84340*a?\nAnswer: 108*a**2 + 6*a - 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*f + 3*d - 510, -204 = -2*f + 2*d. Calculate the remainder when f is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 26. Let y = 0 + -0.3. Sort w, 4, y in ascending order.\nAnswer: w, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-3) - -41) + -2. Let n = -16 + g. What is the remainder when 64 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-113)\/(-6) - (-1)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10) - (-88)\/120)*42. Solve v + s - r = -2*s, -3*v = s - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -24, -1\/17, 0?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssms. What is prob of sequence sss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1861 from 719.3.\nAnswer: -1141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**13)\/(m*m\/m**9*m))\/(m**(-3\/5))**(-3\/4) assuming m is positive.\nAnswer: m**(391\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:12 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -i + 4934, 0 = 2*i + 3*h - 6*h - 9854. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyuyyuuyyyjujjjj. What is prob of picking 3 u?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090075 is divided by 77860?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 296*t**2 - 2*t + 5 - 83*t**2 - 12. Is k(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 2*z**2 - 2*z - 3. Let r = 7 + -4. Determine b(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12155 (base 6) to base 7.\nAnswer: -5150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/(-10*5\/1925).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:35 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.99998 + 8. Round t to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b - 5. Let a be k(5). Suppose 5*j + 5*h = a, j + 4*j + 4*h - 22 = 0. Suppose f = 2*p + j*p - 7, 0 = 5*p - 3*f - 14. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s**2 + 63*s + 46. Give l(9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*r + 6477 = -2721. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14927, 14926, 14925, 14924?\nAnswer: 14923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -7. Calculate the greatest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.5 (b) -7 (c) 0.25 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 - 3*r**2\/2 - 4*r - 4. Let i be w(-4). Let t = 12 + i. Sort t, -1, 2.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-51) - (-2320)\/(-1224). Is -3 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-6))\/(2409\/17082)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.41297 litres in millilitres?\nAnswer: 48412.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/4))\/q)**(13\/6)\/(q**(-14)*(q*q**(-2\/7)*q)\/q*q*q*q*q) assuming q is positive.\nAnswer: q**(1469\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.16, -42.6, 5, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60\/233 - 46\/1631. Which is the nearest to j? (a) 163 (b) -0.3 (c) -2\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:17 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 22*r + 8. Let o(i) = -18*i + r - 22 + 17*i. Let m be -3 + 2 + -7 - -2. Give o(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x**2 - 27*x + 343. Give r(9).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1152\/277 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 556171 bigger than 556190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 7, e: 3, q: 3, c: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9263341.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208410320?\nAnswer: 2, 5, 97, 107, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1\/((-3)\/39). Let v(q) = 1274*q**3 - 3 + 23*q**2 - 1275*q**3 - 9*q**2 - 10*q - 3. Calculate the remainder when 98 is divided by v(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {k: 4, z: 10}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + 4*n - 8*n + (-1 - 3 + 5)*(-n + 3*n - n) + (3*n + 3*n - 4*n)*(-2 + 4 - 4))*(2*n + 1 - 1) to h + c*n + y*n**2 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 10, -31, -90, -173, -286?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 403016537 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 20*y + 11. Give x(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**5 - 276*s**4 + 2436*s**3 - 2156*s**2 = 0.\nAnswer: -77, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 - -520. Is n a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1272 - -1276. Solve 45 = -5*p + 5*o, 6*p = r*p - 2*o + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z**3 - 8420*z**2 - 14514632*z + 9680160 = 0 for z.\nAnswer: -804, 2\/3, 1505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*p + 6, -4*p + 3 = -5*t + 6. Let a be (-1 - 0\/1) + 2 + p. Let f be (-1)\/(3\/(-2) + 1). Solve -f*v + 2 = -a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**7\/42 + z**6\/6 + 3*z**5\/20 - 5*z**4\/12 - 2*z**3\/3 - 43*z. Let b(d) = 0. Calculate d.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120980482.\nAnswer: 2, 7, 1987, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (342\/45)\/(11\/((-16995)\/(-6))).\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*t - 2779 - 328 = -6419 - 16248 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/9 + (-2 - -4). Let d be (b - 0) + (1 - -2). Solve -13 = w + d*f, 0 = -9*w + 4*w + f - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*b - 9*b + 28, -22 = x - 4*b. What is the nearest to -1 in x, 0.4, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*c + 6314 + 2009 = 108*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 + g + 7*g + 0.\nAnswer: 8*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k\/k**0))\/k)\/k)**42*k**(-2)\/(k*k\/((k*k**2*k)\/k)))**(-3))**(1\/2) assuming k is positive.\nAnswer: k**(255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*u + 6, -v - 489*u + 490*u + 1 = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**2 + a - 3. Let n(x) = -5*x**2 - 2. Let b(d) = -6*m(d) + 7*n(d). Let l(r) = 3*r - 8. Let k be l(4). Determine b(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (6 + -26)) + -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12480, -49710, -111710, -198492, -310068, -446450, -607650, -793680?\nAnswer: -1004552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8370, -8361, -8338, -8295, -8226?\nAnswer: -8125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -14. Let f(p) = -11*p - 25. Is f(n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49700749 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 24955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 - -1) + 1)*(62 + -5). Let d = 57 - a. What is the nearest to -0.1 in 2\/5, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -637?\nAnswer: -63.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43429, -0.4, -1\/180, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 4\/9, 4, -216?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/9)\/(1\/(-21)*3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let f(k) = -18484*k. What is f(s(g))?\nAnswer: -18484*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4698*b*g**2*k**2 + 15*b*g**2 + b*g*k**3 - 2*b*k - 435*g**2*k**3 + 2*g*k**3 + 20*g*k + 1966*g + 3*k**2 wrt g?\nAnswer: -9396*b*k**2 + 30*b - 870*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30473 + -9692. Let k(a) = 20781 - l - a. Let c(h) be the second derivative of 7*h**4\/6 - h. Determine c(k(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1215 divide 3547800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29\/5 of a microsecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 179638*c**2 + 20817824*c - 603521784.\nAnswer: 2*(c - 89703)*(c - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12763634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let u(o) = -3*o + 155. Calculate u(q(c)).\nAnswer: -6*c + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 1 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (3 - 10) - 4) + -1. Suppose 22*p - 60 - 94 = j. Solve -3*x = 5*r - 4 - 4, 2*r = -5*x + p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 1\/3, -0.5, 136025?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (2 + -3)*-4. Let b(z) = -2*z**3 + 5*z**2. Let a(n) = 3*n**3 - 9*n**2 + n. Calculate y*a(p) + 5*b(p).\nAnswer: -p**3 - 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*u = 116*u + 48. What are the prime factors of u\/18*-3 + 3 + 2132?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.86 and 14869278.\nAnswer: 14869278.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaaaeeoeaa. What is prob of sequence aeeo?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 532889, 2131204, 4795063, 8524466?\n\"Answer: 532772*d**2 - d + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/22)\/k*(k\/k**(-11))\/k*k**(-4\/9)*k\/(k\/(k\/(k**(-5\/2)*k))*k) assuming k is positive.\nAnswer: k**(1090\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-30)\/(-45)*(-1470)\/(-28).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 65 - 65 - j**2 - 6*j in the form m + d*j + o*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9277 = -j + 13525, -114024 = -5*j - z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -456*r - 429. Calculate the remainder when 518 is divided by g(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + o**3 - 4*o**3 + (5*o - 3*o + 0*o)*(-o**2 - o**2 + o**2) + 2*o - 9*o**3 - 2*o.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56017638 divided by 3\nAnswer: 18672546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 17*l - l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-16)*-2*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*r - 250, 0 = -0*n + 3*n + r + 142. Let p be 3*4\/n*-2. Let z = 39\/4 + -10. Which is the smallest value? (a) z (b) p (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -2 - (-2174 - -2127)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lbww when four letters picked without replacement from nlllwlbnnlnllllllnll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 6*f**5\/11 - 16*f**4\/11 + 14*f**3\/11 - 4*f**2\/11 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022352 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(((-3)\/(-6))\/(4*(-7)\/28)). Solve -2*b + w*x - 2 = 0, 4*b = 2*x - x + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 2, m: 1, d: 1, b: 1}. Give prob of picking 1 b, 1 l, and 1 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)\/d*d*d**(1\/21))**(-1\/16))**(7\/2) assuming d is positive.\nAnswer: d**(251\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327485218 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002366 plus 0.1029537538?\nAnswer: 0.1053197538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74376 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -15\/4, -2, -4, -288.4, 0.4?\nAnswer: -288.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 735000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**3 - 11*v**2 - 6*v + 6. Let i(b) = 8*b**3 + 12*b**2 + 6*b - 7. Let r(d) = 6*i(d) + 7*q(d). Calculate the remainder when 15 is divided by r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-40) - (-8)\/32. Are -1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4865559 millilitres?\nAnswer: 0.0004865559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -65*y**3 + y**2 + 4*y + 2. Is 5 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1239)\/309 - (-4 - 0)). Let u = m + 102. Which is the smallest value? (a) -0.1 (b) u (c) -3\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 5 (c) -1184\/97 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - z - 2*z = 3, -5*z + 3 = -t. Let g(q) = -3*q + 5*q - 5*q + t*q. Determine g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 34*s**5 + 823*s**2 - 512. What is the second derivative of f(w) wrt w?\nAnswer: 2040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892879241 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13311)\/(-22185))\/(3\/4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.7 - 20.4. What is the fourth smallest value in -3, 5, x, 1\/50?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.62 + -0.08. Let x = n + 1.4. Let o = x - 0.699933. What is o rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/3 + 11*c**4\/3 - 11*c**3 + 37*c**2\/3 - 14*c\/3 = 0.\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -389, -866, -1533, -2390, -3437?\nAnswer: -4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10020202401 - -3?\nAnswer: 10020202404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-32)*(-4)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 + 188. Calculate the remainder when r is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(sqrt(272) - (sqrt(272) - sqrt(272)*3 - sqrt(272))))**2 - (sqrt(272) + 4)*1)*-3.\nAnswer: -12*sqrt(17) + 52212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7026*m**5 - 3*m**4 - 34*m**3 + 2*m**2 + 14*m - 7236.\nAnswer: 421560*m**2 - 72*m - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 4*v - 12, 0 = -u - 3*v - 15. Calculate the smallest common multiple of (1 - 2)\/(0 + -1) and 6\/(-9) - 70\/u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7173151 - 7172060.50025. Let c = a - 1091. Let d = -0.5 - c. Round d to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 11) + 0 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -328528295*f**3*y**2 + 2642*f**3 + 147*f**2*y - 33*y wrt y.\nAnswer: -657056590*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 7*n**2 + 5*n + 8. Let k be d(-4). Suppose 15 = 3*l, -k*g = 3*l - 6*l - 9. Suppose -5*b = -h, h - g = 3*b - 4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**2 + 30*a + 13. Let q(x) = 17*x**2 + 61*x + 26. Let p(f) = 5*i(f) - 3*q(f). Let s be p(-5). Factor -1\/4*d**3 + 1\/4*d + 1\/4*d**s - 1\/4.\nAnswer: -(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138761 is divided by 534657?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k. Let l be u(-1). Suppose 4*s - 60 = 2*g + 3*g, -s - 53 = 3*g. Let z be -8 + 6 + g\/l. Are -27 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*j*l**3 - 35*j*l**2 - 3*j*l + 1442*l**3 - 24*l wrt j.\nAnswer: -82*l**3 - 35*l**2 - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174574 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -824, -405, -4, 373, 720, 1031, 1300?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10967\/10129 + 87\/1447. Let o be (3\/(-11))\/(6\/4). Which is the second smallest value? (a) 0 (b) o (c) g (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -7*c**2\/2 + 9*c + 3. Let w be m(-5). What is the highest common factor of w and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6954 - 6708. Solve -t*n + 27 = -237*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224, -1228, -1234, -1242, -1252, -1264, -1278?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 12*f**2 - f + 4. Let g be w(-12). Suppose -8*p + g = -4*p. Solve -p = -4*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:53 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 + -407\/3. Which is the nearest to 0.1? (a) -7 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236490 is divided by 2543.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 2*m. Suppose -7*g + 3*g = -5*t + 18, -4*g = 2*t + m. Suppose 0 = t*b, 2*i + b + 4*b - 10 = 0. Round i to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.6 + -52. Let z = -0.9 - -5.9. Sort z, 2\/3, b in descending order.\nAnswer: z, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 912 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 64. Suppose 3*x = w, -4*x = -3*l + 4*l - 674. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -325*y - 6166. Determine r(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 22*q - 327. Let c be v(15). Sort -5, -16, 5, c.\nAnswer: -16, -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feehzeh. What is prob of picking 1 f, 1 h, and 1 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 12 + 0*d + 3*d in the form m*d + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*h**4*q - 320*h**2 - 11607*h*q wrt h?\nAnswer: 144*h**2*q - 640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -281*i + 258*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 3*t + 0*t**5 + 0*t**2 + 0 + 0*t**6 + 1\/56*t**8 + 0*t**7 + 2\/3*t**4 + 0*t**3. What is the third derivative of d(k) wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.07674\nAnswer: 0.15348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 0.3 (c) 11 (d) -4875 (e) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 515970 and 366860?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a factor of 144950096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307853, 1231287, 2770337, 4924997, 7695261, 11081123?\nAnswer: 15082577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:06 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.5 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/28)\/(21\/98).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**5\/80 - 5*g**4\/48 - g**3\/3 - g**2\/2 - 11*g - 32. Let k(o) be the first derivative of p(o). Factor k(u).\nAnswer: -(u + 1)*(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - 2*g)*(-22 + 7 - 19).\nAnswer: -68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-21) + (-12524)\/434?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:43 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1688772771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 46*d + 97. Determine x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2848325632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose -2*u - v + 0*v = -7, 4*v = u - 26. Let y(j) = 7*j**2 + j + 1. Let w be y(-1). Solve -w = -s + 4*t, u*s - 4*s + d*t = -19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28434 - -28578. Solve -214 + h = 10*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/60*(-4)\/(-10)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 721630389 and 17087.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 3*a**2 - 5*a + (-1 + a + 1)*(a - 2 + 2) + 7*a**2 - 11*a + 11*a + a**2 - 3*a + 0*a**2 - 2*a to the form r*a + q + x*a**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3060068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 3*z + 204. Suppose 3*o = z + 40. What is the remainder when 106 is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 421448 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 567*t + 24363. Calculate y(66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/(a*a**(-2\/3))*a**(1\/6))\/((a*a**7)\/a**1)*((a**(-2\/7))**(11\/2))**(-9) assuming a is positive.\nAnswer: a**(461\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 1221227.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 2*w**2 - w + 2. Let l(y) = y + 5. Let i be l(-7). Let v be m(i). Suppose 0*b - 16 = -v*b. Calculate the least common multiple of 3 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 1) + (32 - 34)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-8)*(-12)\/5. Let x(i) = i**2 + 3*i. Let r be x(-4). Let k = a - r. Solve -t = t + k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283294 is divided by 7090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -7*d**3\/3 + 12*d**2 + 4*d. Differentiate s(v) with respect to v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 186*i**2 - 99*i**2 + 151*i**2 + i**2. Let s(f) be the third derivative of f**4\/24 - 79*f**2. Calculate a(s(l)).\nAnswer: 239*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 822767 and 6.96.\nAnswer: 5726458.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h + 6. Suppose t - 22 = -2*t + r, 0 = -3*t - 5*r + 34. Let c be w(t). What is the hundreds digit of (-335)\/(-2) - (c\/12 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45096, 90433, 135770, 181107, 226444, 271781?\nAnswer: 317118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*m + 289997 - 68184 + 174059 = 0. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 56520205.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3532220 to the nearest ten thousand.\nAnswer: -3530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 greater than 17\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {c: 3, r: 4, o: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 + 5*b**4\/12 - b**3\/2 - 3*b**2 + 18*b. Let m be v(4). Do -21 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d - 1. Let w(p) = -p**2 + 1. Let n(l) = 6*l**2 - 7*l - 7. Let f(v) = -n(v) - 4*w(v). Give -4*f(z) - 9*y(z).\nAnswer: -z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(96) + sqrt(24))*3)\/sqrt(12) - (sqrt(18) + 1*sqrt(450)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*s - 193 = 3*y, -203 = -4*y + s. What is the highest common divisor of 26 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/42 - 43\/168. Let h = 25.3 + -22.3. Put h, u, -4\/3 in ascending order.\nAnswer: -4\/3, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133002 - -23?\nAnswer: -132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1614, -1610, -1606, -1602?\n\"Answer: 4*b - 1618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5\/3, -2, -92, -2\/7, 0.3.\nAnswer: -92, -16, -2, -5\/3, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2820477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -292?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 53*p - 9656. Give o(182).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1417.1 - -1413.1. What is the closest to 0 in r, 705, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 60 = -164. Suppose -5*z + 190 - 475 = 0. Let a = l - z. Solve 0 = -2*o + 3 - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126081434 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/556 and -42\/1529.\nAnswer: 6116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 2*a**2 + 4*a + 5. Let w be k(-4). Let b(o) = -o**3 + 21*o**2 - o + 42. Calculate the lowest common multiple of b(w) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(205\/105 + -2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + 35*w**2 - 16*w - 14. Let b be d(17). Suppose r + 64 = 5*s + 2*r, -3*s + 3*r + 24 = 0. Let p be 1 - s\/b - -7. Solve p = -3*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 605248, 5 in increasing order.\nAnswer: -4, -3, 5, 605248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 7*s + 3. Let p(k) = -k**2 + 9*k - 3. Let h be p(8). Suppose h*n - 25 = 10. Let g(d) = d**2 + 5*d - 2. Calculate n*g(l) + 5*v(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 44730255.\nAnswer: 44730255.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.065 (b) -4 (c) -13 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -75, 7 in increasing order.\nAnswer: -75, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17.23? (a) 0.4 (b) -2 (c) 3 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 35*r**2 + 873*r + 2604. Give p(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 745 + -1833. Let z = -185511541.00731 - -185512629. Let u = h + z. What is u rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*t + 670*t - 782 = 0. Solve 4*j - 26 = -i - t, -5*j + 4*i = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601c0 (base 16) in base 13?\nAnswer: 10a24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*i + 259 + 601 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6206 - -5.6206. Put -2\/19, b, -0.06, 1\/3, -0.3 in descending order.\nAnswer: b, 1\/3, -0.06, -2\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2443\/38 - -127639\/2090. Let v = d + 51\/22. What is the common denominator of (-1)\/2 + (-88)\/(-10) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891) - sqrt(11))**2*-3 + -1 + sqrt(11) + (sqrt(88) + -2*sqrt(88) - sqrt(88))\/sqrt(8) + sqrt(11) + sqrt(11).\nAnswer: -2116 - 47*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/20 - (-63)\/60)*3530.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 40 = 2*h. Let i = 17 + h. Let m be (-48)\/(i\/(-33750)*-3). Round m to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41.69 times -1077\nAnswer: 44900.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1512)\/147)\/(82\/84 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**6*g - 155760*b**4*g**3 + 2942*b**2*g**2 + b*g**3 + g**2 - 25*g wrt b?\nAnswer: 720*b**3*g - 3738240*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -p - 35*a + 21 - 48, -3*p - 2*a + 5*a + 3 = 15 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/3 - 7*o**2 - 25*o - 10. Let f be t(-11). Calculate the highest common factor of 16 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 - 3*u - 3. Let b be (-2 - (5 - 0))*1. Let m(f) = -13*f**2 - 7*f - 7. Let g(d) = b*v(d) + 3*m(d). Let s(w) = -19*w**2. Determine g(s(q)).\nAnswer: 1083*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -289, -87 in increasing order.\nAnswer: -289, -87, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1890.28 and -3.\nAnswer: -5670.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2 - l + 3645*l**4 - 3173 - 242 + 1394*l**4 wrt l?\nAnswer: 60468*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**5 - 19*a**4\/2 + 16*a**3 - 3*a**2\/2 = 0?\nAnswer: -3, 0, 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1664 divided by 52?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19936 and 1840160?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2912.734 + 2938.9. Round i to zero dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 6808.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2 + 2)*(-1 + 2*s + 1).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1038599 and 2?\nAnswer: 2077198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-5))\/(550\/4125). Suppose 0*p = -5*a - 5*p, 0 = -5*a + p. Suppose s*c + a = 27. Solve -c*z + 3 = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/190)\/((-5)\/20)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, -63, -4 in decreasing order.\nAnswer: 3, -3, -4, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51619 = -2143*n + 21243 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, -1\/11, -0.5, 4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*y = -110, -22*y + 26*y + 112 = 4*i. What is the remainder when 842 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8079\/170 - -2\/85. Find the common denominator of 49\/790 and f.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 15*n + 127. Let x be ((-6)\/15)\/((-1)\/(-20)). Let u be a(x). Solve 3*m = -2*i - u, -4*i + m = -i - 17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014219 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-21)\/(441\/6)*(-1)\/3*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5*f = 0. What are the prime factors of 47 + f + 4 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -53728.91*-3\nAnswer: 161186.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3606491964 to the nearest integer?\nAnswer: 60054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r\/r**14)\/r))**(30\/11)\/((r\/(r*r**(2\/3))*r)\/(r\/((r**(2\/31)\/r)\/r))) assuming r is positive.\nAnswer: r**(47302\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/35)\/((-2)\/42)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:20 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 5*p**2 + 6*p - 6. Let k = -13 + 8. Let y be q(k). Let n be (3 - y\/(-15))*5. Solve -3*r = r - l + 16, 3*r + n = 3*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 4, q: 7, n: 1}. What is prob of sequence eq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-95)\/(-228))\/(15\/3))\/(1\/21)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 10*m**7\/7 + m**3\/6 + 5*m**2\/2 - m + 8. What is the second derivative of y(w) wrt w?\nAnswer: 1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/4125 + ((-26299)\/(-325) - 2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1419 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(45) - (-3*(sqrt(45) - sqrt(6480)) + sqrt(45)) - (-5 + sqrt(45) + 1)).\nAnswer: -16 + 408*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163668 and 183237?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 + -6868?\nAnswer: -6806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(78) + sqrt(78) - sqrt(78))\/sqrt(6).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 + 70 = 7*j - 5*p, -2*j - 16 = 3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/5950 + 388\/2200\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 135019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56417619 at most as big as 56417622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*g = 111, -41*f - 4*g - 78 = -43*f. Solve -172 = -f*s - 72 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/646 and 103\/20?\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5193774)\/(-8) - (-6)\/24. Suppose 189222 = 4*d + j. What is d rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -3, -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 70. Let i = 23.035 + y. Let p = 4.965 + i. Put 2, -5, p, 0.4 in ascending order.\nAnswer: -5, 0.4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 - 154.63. Let f = p + -1. Let c = f - 1.57. What is the closest to -2\/21 in 1, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44251, -44270, -44289?\n\"Answer: -19*b - 44232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 82 + (24 + (-17 - -24) - 22)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.04?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -650 - -981. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19874.16 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6)*11)\/(-52*(-60)\/(-6240))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.721786 millennia in centuries?\nAnswer: 7.21786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 2*u**2 - 3*u**2)*((4 - 1 - 1)*(-1 + 1 - 2*u) + u + 4*u + 6*u) + (3 - 3 + u**3)*(5 - 1 - 3).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 - -0.52. Sort 3\/7, 2, u, 0.01 in decreasing order.\nAnswer: 2, 3\/7, u, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19358 - 7326. What is the greatest common divisor of 47 and i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -13. Let f = 0.025 + -0.171. Let z = -0.054 + f. Put z, 1\/5, s in decreasing order.\nAnswer: 1\/5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**3 - 82*z**3 - 54*z**3.\nAnswer: -114*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -17, -0.2, 59, -1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-406 - 387 + 242 - 236)*(0*p - 5*p + 3*p) + (0 + 1 + 3)*(-p + 0 + 0).\nAnswer: 1570*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46121\/5 + -9224. Let j = -1.5 - 0.5. Let m = j - -2.5. Which is the third biggest value? (a) 2 (b) m (c) k (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*h**4*x - 18*h**3*x - 3*h**3 - h**2*x + 7*h**2 + 143*h*x - x wrt h.\nAnswer: 888*h*x - 108*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/22 - (-100)\/55. Suppose b - 2*s - 60 = -j*b, 2*b = 4*s + 40. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006752245 take away 11654?\nAnswer: -11654.006752245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 855324 to the power of 1\/2, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253374 - -5?\nAnswer: 253379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.338111 nanometers?\nAnswer: 0.0000005338111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 31 + 31.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -112401994\nAnswer: 1124019.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -56*v + 3165. Let z be o(56). Sort -2\/7, -0.01, 2, z in ascending order.\nAnswer: -2\/7, -0.01, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*h + 215 + 2551, -h = -5*q - 905. Calculate the least common multiple of h and 25.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2. Let j(w) be the second derivative of -w**5\/60 - 3*w**2\/2 - w. Let q(b) be the first derivative of j(b). Determine q(x(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -0.25 (b) 34 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2458387.73 - 1284\nAnswer: -2459671.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 423121183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 52. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3879 + 5169. Is z a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 991 + 1071 = -4*p, -5*w - 5*p + p = 96 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 3. Let a be l(3). Suppose -a*t + 145 = 3*y - 17, -108 = -2*y + 5*t. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18185.\nAnswer: 5, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26712 and 62\/45.\nAnswer: 133560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1771*m + 14247 - 72690 = 0 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29200 divided by 400?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 + 2*u - 8. Let r be c(5). Let b be (-1 - 0) + 4 - -1. Solve -3*n - r*z = -4, 2*z + 8 = -n + b*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4196 and 13\/36?\nAnswer: 37764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 500113967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157138 is divided by 324.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from {t: 1, a: 2, b: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/9, 680, 1, 2.2, 0.07.\nAnswer: -4\/9, 0.07, 1, 2.2, 5, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26\/31 - -172\/279. Which is the fourth smallest value? (a) 4 (b) 40 (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1147418 divided by 6\nAnswer: 573709\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -30, -47, -64, -81, -98?\n\"Answer: -17*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + -2. Let a = o - -26. Suppose 0 = 2*t + 2, -p + a*p = t + 112. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-30))\/(2\/(-636)). Let y be (6 + -7)*(158 - 1). Let h = w - y. What is the remainder when h is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11560*h + 1213793. What is j(-105)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 2*l. Let g(w) = -1475*w**2 - 2*w - 1107. Let s(d) = -c(d) + g(d). Find the first derivative of s(i) wrt i.\nAnswer: -2946*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -26 + (-2041 - -2100)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 3*g**2 - g + 10. Let s be l(3). Suppose -4*n - 5 + 41 = 0. Calculate the lowest common multiple of n and (-27)\/(-6)*(9 - s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - -12)\/(-6)*1744\/(-6). Let n = -542 + l. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*w - 83, -p + 56 = -5*w - 43. Let v = w - -25. Solve -4*f - 2*t = 0, -3*f + t + v = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-4)\/(-468)) - (-2*1 - -11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 20 = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**(-6\/7)\/((t\/((t\/(t*t\/((t*t**4)\/t)))\/t))\/t*t*t*(t\/(t*t**4*t))\/t)**3 assuming t is positive.\nAnswer: t**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-165)\/(-40) + (-1)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443495 and 54730?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 34, 39, 44, 49?\n\"Answer: 5*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 + -1 - 3) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*z - 108*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16489, 16494, 16501, 16510, 16521?\nAnswer: 16534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 44, -16, -132, -322, -604, -996, -1516?\n\"Answer: -3*z**3 - z**2 + 2*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 97*g**2 + 230*g + 1394. Calculate f(-99).\nAnswer: -1774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-238)\/51 + 2\/3. List the prime factors of 7\/(63\/1884) + n\/(-6).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1)*-1 - (-4127 - -73). Suppose -a - 301 = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -11. Suppose -317*w - 50 = -322*w. Let y be (r\/(-9))\/(w\/(-15)). What is y rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/4 + 18\/3. List the prime factors of b - (-55)\/10*10.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2*-1 + sqrt(99))\/(3*sqrt(27)\/sqrt(3)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 17. Let x = 13 + 1. What is the remainder when b(0) is divided by (12\/x)\/(3\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4 - 7) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04163 rounded to 3 decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000211022 - 2120?\nAnswer: 1000201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2 - o - 234. Let x be d(0). What is the common denominator of ((-2)\/(-36))\/(2\/93) and 2158\/x*((-3)\/2 - -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Suppose 5*x - 250 = -b*k, 0 = -2*x + x + 5*k + 56. Let j = x + -44. Calculate the remainder when 17 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3521443, 3521453, 3521463, 3521473?\n\"Answer: 10*z + 3521433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p + 8 = l, 3*p = -5*l + 79. Let d(a) = a + 14. Let y be d(-5). Solve j + 4*t + 2 = y, 0 = 3*j + 5*t - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b - 2*j - 15, 2*b = 2*j. Let d(w) = -w**2 + w + 2. Let n be d(5). Let k be (2 + 48\/n)\/(b\/3). What is the second biggest value in -4, -3\/5, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/54)\/((-5)\/(855\/(-209)))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g + 8*g + 0*g + 6*g to a + x*g and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Suppose 0 = -3*z - 0*z + 12. Solve 3*w - 5*h = -a, z*h = w - 0*w - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-3)*(-12)\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -61. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 224*t**4 + 7062*t**3 + 60524*t**2 + 164680*t + 140112 = 0.\nAnswer: -14, -9, -2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1, a: 1, y: 2, l: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 557*h**5 + 2*h**4*k**3 - h**2*k**2 - 39*k**3 wrt h.\nAnswer: 33420*h**2 + 48*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 8:25 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.224666 - -1.775334. Let h be (-26)\/(-10) + 2\/5. Which is the second biggest value? (a) 6\/103 (b) l (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -0.09. Which is greater: -6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5836 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/5 + 3134*v**4\/5 + 2223777*v**3\/5 + 457205652*v**2\/5 = 0.\nAnswer: -2228, -453, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 55, 82, 109, 136?\n\"Answer: 27*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 2731648.\nAnswer: 2731647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 7*d + 7. Let a be t(6). Suppose -16 = -4*g, -3*i = -g + a - 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270887777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 2 m when four letters picked without replacement from hzzohzmhooohmlhoom?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 11.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-312)\/(-715))\/(-4))\/((-9)\/15)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0*b**3 - 1\/10*b**5 + 1\/15*b**6 - 3*b + 0*b**2 - 1\/6*b**4 + 1\/21*b**7 + 0. Factor u(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 - -276.9285. Let k = -0.07150287 - d. Round k to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21011112 - 10?\nAnswer: 21011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 19*c - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 381492741 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2048*y**3 + 6*y**2 - 3. Let l(n) = -10238*n**3 - 28*n**2 + 14. What is 3*l(k) + 14*p(k)?\nAnswer: -2042*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 21)*26\/78?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -183\/4. Let j = 1.83 - 2.1. Let y = j + -0.23. Which is the nearest to -1\/4? (a) y (b) -1\/8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17488279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-6))\/(0 - 6). Let l(u) = -u**2 + 5*u - 2. Let p be l(4). Let o be (-12)\/(-9) - p\/6. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(((sqrt(1872)*2 + sqrt(1872))*-5 - (1*sqrt(1872) + 5)) + -1 + -3))**2.\nAnswer: 1382400*sqrt(13) + 191725200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1733904 and 432.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (56 - 17) + -27 - (0 - -7) - 18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3)*3)\/((-8)\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - -11) + (67 - (-2 + 0)). Solve -105*t + f = -33 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -554 (b) 0 (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 3*i**2 + 11*i + 15. Calculate the remainder when g(-6) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01993385 * 23.\nAnswer: -0.45847855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**4 + 4*a**3 - 4*a - 2. Let q(h) = h**4 + h**3 - h. Let c(d) = n(d) - 4*q(d). What is the first derivative of c(u) wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 - (-8 + 5) - 21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/o**(2\/5))))**(10\/3)*(o\/(o**(2\/9)\/o))\/o**(-1\/10))\/((o*o**(2\/3)*o)\/(o\/(o*o*o**10*o)))**(-39) assuming o is positive.\nAnswer: o**(52129\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/6 + 17*x**3\/3 - 16*x**2 + 42*x. Factor r(s).\nAnswer: -2*(s - 16)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523969, 523970, 523971, 523972?\nAnswer: 523973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/17, 15, 1, -13.9, 4\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/11, 0.5, 1\/5, 0.1, 2\/9, -1.71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1057, -1051, -1043, -1033, -1021, -1007?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**0*o)*o**(-2)*o**(-5)\/o*o**4 assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**4 - 4*o**3 + 17*o**2 + 3697.\nAnswer: -4*o**3 - 12*o**2 + 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 868435693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3 - 210*b**2 + 511*b?\nAnswer: -18*b - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7737066 and 90.\nAnswer: 38685330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 - p. Let h be t(-2). Suppose -y - 89 = -h*k + 21, 4*y + 62 = k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17069301 and 187717?\nAnswer: 6473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 - 120. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i)*(366*i + 345328 - 2289*i - 345326).\nAnswer: 3846*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 less than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - ((sqrt(11) - sqrt(44)*-1) + sqrt(11)) - sqrt(99)*-1) + (3 + 1 + sqrt(891))*3)**2.\nAnswer: 648*sqrt(11) + 8163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 783*s + 241747. Give r(237).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*x + 18, -5*h - 4*x + 2 + 6 = 0. Solve -3*v - h = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-26 + 19)) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -214712*q**4 - 56*q**3 - 214706*q**4 + 3*q + 2 + 429416*q**4 as t + m*q**2 + n*q**4 + o*q**3 + h*q and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1168*d**2 + 1173*d**2 - 2120*d + 1163*d**2 + 561800 + 1163*d**2 - 4665*d**2 = 0. Calculate d.\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -131, -195?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4301 = -3*s - 4295. Let i be 2\/12 + 154\/12. Let k be (-259)\/(-91) + 2\/i. Solve 0 = -g + k + s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -665377360 by 1070.\nAnswer: -621848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*k**3 - 6258*k**2 + 81408*k - 294912.\nAnswer: 3*(k - 6)*(7*k - 128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -11*l**5\/20 - 4*l**2. Let n(a) = -a. Calculate n(b(g)).\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, k: 4, p: 3}. Give prob of picking 4 k.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -129\nAnswer: 110\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-12)\/(-16)*-52*48\/(-13572)\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = m - 24, m - 5*d = -2*d + 16. Let r be 99\/m*16\/6. Let b be 0 - -6 - (20 - 17). Put r, 2, b in ascending order.\nAnswer: 2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 6:26 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -11\/3 (b) 2\/19 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = z. Determine u, given that -15*u**3 + u**2 + 5*u**2 + 2*u**z + 12*u**4 - 5*u**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:03 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101624228 to the power of 1\/2, to the nearest integer?\nAnswer: 10081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 6. Let q be t(6). Suppose a - 5*a + 14800000 = q. What is a rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ooqtfqooyttqoo?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 5*h**2 + 5. Let p be v(-5). Suppose -o + m - 1 = 0, o + o - p*m = -17. Solve d = -o*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 - 2*w - 2. Suppose 0 = 5*c - 7 - 23. Let p = c + -4. Is s(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**2 - 8*y - 23. Is i(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 = 21*c - 603. Suppose c*s - 2968 = 64*s. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 2*t**2 + 2045*t + 2027*t - 4069*t)*(3 - 3 - 2).\nAnswer: 4*t**2 - 6*t - 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -45*w + 471. Let o(x) = -52*x + 469. Calculate -8*c(z) + 7*o(z).\nAnswer: -4*z - 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2*t**2 + 7)*(-4506 - 83*t + 4506).\nAnswer: -166*t**3 - 166*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 0 + 0 + (-5*q + 3*q + 4*q)*(5 + 8 - 5) + 4*q - 13*q - 23*q as c*q + t and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102016168363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 846357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 22.\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.41 + -2.8. Let w = 0.390087 + x. Round w to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 - 85558?\nAnswer: -85523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 5269.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 433869.\nAnswer: 433868.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -25*m**4\/12 - 41*m**3\/6 + 17*m**2\/2 + 65*m. Let n(b) = 3*b**2 + 5*b - 2. Let d(v) = 6*i(v) + 51*n(v). Factor d(x).\nAnswer: 3*x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8010 (base 9) to base 8.\nAnswer: -13321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1192 - -1197. Solve 5*y + 3*s + s = 21, -b*s + 18 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7665387110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 14. Suppose -5*n = v + 67, 0 = 2*n + 2*v - 0*v + 30. Let y be o(n). Suppose 3*d = 100 + y. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 1 - 5*v + 9 - 3*v + 2*v**2. Is 15 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09 or -7\/40111?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1510 = -32*t - 272*t - 1530. Suppose 3*s - 2*s + 4*o = 20, -3*s + 44 = -4*o. Let b = t + s. What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32\/15, 1\/5, 0.24, 0.053 in ascending order.\nAnswer: -32\/15, 0.053, 1\/5, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:33 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328.5541 + -136.55491. Let t = l - 192. Round t to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 3*j**4\/4 - 105*j**3 + 621*j**2\/2 - 309*j - 2872. Solve g(z) = 0.\nAnswer: 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 1.2, -3, 0.4, -0.2 in ascending order.\nAnswer: -3, -2, -0.2, 0.4, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(306\/(-68)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from {w: 1, k: 1, q: 1, t: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 * 677.\nAnswer: 142.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**2 - 7*z + 140. Let q(r) = 6*r**2 + 3*r - 64. Let g(a) = 4*h(a) + 9*q(a). What is g(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and 633\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faw when three letters picked without replacement from {f: 1, a: 1, w: 10, m: 1}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341028 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*m + 20 = 19, 5*k - 8 = 3*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1967395839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 4*q - 4*q**2 + 0 - 11 - 7*q + q**3. Let u(z) = z - 1. Give -t(m) + 5*u(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(931)*-2*-1 - sqrt(931)) + 1 + 4).\nAnswer: -42*sqrt(19) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 95055252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 1:20 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226283 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 293 and 1564327?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -18*j**2 - 12*j + 10. Let y(h) = -19*h**2 - 13*h + 12. Give 6*l(d) - 5*y(d).\nAnswer: -13*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1473 = -5*m + 292. Let r(f) = -701*f**2 + 350*f**2 + m*f**2. Let q(g) be the second derivative of -4*g**3\/3 - g. What is q(r(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-27)\/25 - 16071\/(-109575)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-24))\/(6\/4). Let v = -44 + 45. Put 0.3, v, c, 2 in ascending order.\nAnswer: c, 0.3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2310*k + 23. Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m**2 - 17*m - 5. Let v(y) = 5*y**2 + 19*y + 7. What is -4*k(p) - 3*v(p)?\nAnswer: p**2 + 11*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3, 0*w + 3*w = k - 9. Suppose 12*y - 7*y + 25 = k, 285 = j - 3*y. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 41983.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 384.9 times -0.31\nAnswer: -119.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1088, -1087, -1086?\n\"Answer: k - 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*g + 1 = 195*g + h, 77 = -7*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Sort -4, p, 0.4 in ascending order.\nAnswer: -4, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.01 (b) -0.5 (c) -0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y = 0. Suppose 0 = -x + 3 - 1. Suppose -a + 2*a + 10 = -x*l, -5*a = 2*l + 18. Sort y, l, 3 in descending order.\nAnswer: 3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -6 + 10 + 4 + -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 527 in 3, 2\/21, 30, 4\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -634*h**3*x**2 - 5*h**3*x - 320*h**3 + 2*h**2*x**2 + 17*h**2*x - 75*h**2 - 30*h + 5 wrt h?\nAnswer: -3804*x**2 - 30*x - 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/30 + q**2. Let x(l) be the second derivative of -l**4\/6 - 70*l**2 + 5975*l. Determine x(u(w)).\nAnswer: -8*w**4 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 957 + -727. Let z = 230.8 - h. What is the biggest value in z, -2\/23, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 183, 399, 681, 1017, 1395, 1803, 2229?\n\"Answer: -2*n**3 + 51*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 487 + -484. Suppose -206 = -2*i - i - 4*b, -j*i + 215 = -5*b. Is i a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + 10*g**2 + 16*g + 14. Let m(l) = -5*l**3 + 10*l**2 + 17*l + 15. Let v(k) = -5*m(k) + 6*s(k). Is v(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14935015 to the power of 1\/2, to the nearest integer?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.042 + 5.658. Let x = h + -6. Which is the third smallest value? (a) -11 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 37.7. What is the third biggest value in -4, d, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -271744*w**2 + 2*w + 2. Let v be d(2). Let m = -59786657\/55 - v. Let a = m - -297\/5. Is -2 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -12002002112101000?\nAnswer: 12002002112101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 5*h + 21*h. Suppose 3*q - h*g = 252, -2*q - 14*g + 145 = -9*g. What is the least common multiple of 20 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/(u*u\/u**(1\/5)))\/(u**3*(u\/u**7)\/u))\/(((u\/(u*u**(2\/7)))\/u*u*u**(-2\/19)*u)\/(u\/(u\/u**9*u*u)*u*u**0*u)) assuming u is positive.\nAnswer: u**(5048\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:54 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(2\/35)*z)\/z)\/z*z**2)**(-14)*(z**(1\/5)\/(z**(-1)\/z*z))\/(((z**(-2\/5)\/z)\/z)\/(z\/z**(1\/2)*z*z)) assuming z is positive.\nAnswer: z**(-367\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.056 + -0.004. Which is the second smallest value? (a) 0 (b) 2\/15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 4. Suppose -30*g - 90 = -36*g. Let h = g - s. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 21*v**2 + 7*v - 20. Let y be n(14). Round y to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 8*j - 21*j. Let b(l) = -2*l**3 - 3*l**2 - 3*l + 4. Let i be b(-3). Calculate the greatest common factor of i and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567139927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -4.7061?\nAnswer: -4.6961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n. Let w(f) be the third derivative of -17*f**5\/30 + 202*f**2. Give x(w(y)).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 18. Suppose r*a - 480 = -6*a. Calculate the remainder when a is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + (-13)\/(-3))\/((-14)\/(-84)). Solve 4*u - 2*f = 4, -3*f + 1 = -5*u - r*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdxxdxogxdx. What is prob of sequence dxd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 30. Find the third derivative of 0*j**a - 5*j**2 + 14*j**2 + 3*j**5 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -63*j**3 + 154*j**2 - 467*j. Give o(3).\nAnswer: -1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -35*t**4\/4 + 15*t**3 + 43. What is the third derivative of m(z) wrt z?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*y + 51, 0 = 3*o - 0*y + 2*y - 71. Let p = -23 + o. Is p greater than or equal to -10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u - d - 35, -u + 42 = -2*d + 48 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - -15036?\nAnswer: 14760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11076 by 2.\nAnswer: -5538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 6*n - 4. Let i be s(-6). Let f = i + 10. Let p = 72 + -70. Solve -f = -p*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1 = 9. Let k(n) = -8 - n - 6*n + n**j + 19. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 - (1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/(-15)*(-9)\/(-3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -11.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25900 and 350.\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 307*m + 2411 - 25743 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1827)\/(-2) - (-19 - -20). Let t = -955 + m. Calculate the common denominator of -67\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -145*q - 1. Let f(h) = h**2. Calculate w(f(m)).\nAnswer: -145*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 171, 675, 1515, 2691?\n\"Answer: 168*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -1584?\nAnswer: -1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*1*(-572)\/(-1430).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 2 (c) -22 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*2 - -653678. Let l be -6 - -4 - (143676 + -1). Let v = j + l. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*j**2 - 72*j**3 + 85574*j - 3*j**2 - 5*j**2 - 85572*j to b*j**2 + w*j + v*j**3 + p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101001001111100000 - 10?\nAnswer: 1111101001001111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 4*p**4 - 2*p**4 + p**4 + 3*p**4 - p**4 + p**4 + 2*p**4 - 2*p**4 + (-2 - 1 - 1)*(97*p**3 - 97*p**3 + 9*p**4).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 7. Let n(r) = 7*r + 10. What is 3*n(p) + 4*o(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1418 - 480 + 472*m**2 - 466*m**2 - 470 - 466.\nAnswer: 6*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 69972906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157722927?\nAnswer: 3, 52574309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2334203 - 2442?\nAnswer: -2342200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 547*f + 2653. Give y(-187).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqwqiicrciwwiwwwqar. What is prob of picking 2 r, 1 i, and 1 q?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -1.65, 8.81?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89704 rounded to two dps?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -54. Solve 0 = -5*z + 4*b, -s*b - b = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(143 + 2607 + 117) - 2 - 2 + 3)*(-10 + 10 - 5*o).\nAnswer: 28675*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l. Let n be 2 + -2 + (0 - l). Let m be 1*(n - -13) - 1. Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlawaahdwcd. Give prob of sequence calh.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4125 is divided by 1368?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 272 + -17. Let o = -246 + k. Which is the third biggest value? (a) 3\/7 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4237*m = -6939*m - 698956 - 630988 for m.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**2 + 4*h. Let o be a(3). Suppose -4*c + 55 = -o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3425, -6874, -10323, -13772, -17221, -20670?\nAnswer: -24119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3077, 0, 5, 4, -151 in decreasing order.\nAnswer: 5, 4, 0, -151, -3077","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 71*k + 234. Let w be l(-13). Let u(a) = -9*a**3 - 13*a**2 - 6*a + 13. Let m(x) = -4*x**3 - 6*x**2 - 3*x + 6. Calculate w*m(y) + 6*u(y).\nAnswer: -2*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 62.2. Let u = 6 + d. Let m(n) = n**3 + 12*n**2 - 9*n - 122. Let x be m(-12). Put u, 1, x in increasing order.\nAnswer: x, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 - 9*u - 15. Let t be s(-7). Calculate the remainder when -4 - 17*(-2 - t) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*u = -12, u = 2*y - 13 + 5. Solve 2\/3*l**3 + 0*l + 14\/3*l**y - 2*l**4 - 2\/3*l**5 - 8\/3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16418 and -3.\nAnswer: -16421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**2 + 3*n**2 - 5*n**2)*(68*n**2 - 100*n**2 + 779*n**2) + 3*n**4 - 3*n + 3*n to the form z*n**3 + m*n**2 + k*n**4 + t*n + h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*j + 46. Let h be (-1)\/(-1 - 0)*j. Solve -s = -h*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 4*a + 5. Let r be p(4). Suppose -5*f + 3*f = r*d - 8, -4*f = -d - 16. Sort -1, -2, d in decreasing order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171 - 169.904. Let f = -0.054 - o. Round f to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4305 and 197169.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 100*d**2 + 5508*d + 60325. Give w(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39 - -0.1.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10549 (b) 3\/43 (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*n = -121, -b + 3*n - 41 + 2 = 0. What is the common denominator of -19\/24 and (-7)\/b*(-56)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 5*r - r - 8976*n + 8973*n, -5*r - 4*n = -193 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 49592*u\/5 - 307420808\/5.\nAnswer: -2*(u - 12398)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667930?\nAnswer: 2, 5, 17, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14732.\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 85 = -15*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -236*t - 1894. Calculate b(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*q + 141*q - 4 + 4.\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -62, -87, -108, -125, -138?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - 20687*k**3\/2 - 3272379*k**2\/2 - 173138333*k\/2 - 1528073528.\nAnswer: -(k + 53)**3*(k + 20528)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 11)\/(2 + -3). Let v(g) be the first derivative of c*g - 3 - 1\/2*g**2. Determine v(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*l - 44000, 5*l - 4*l = -3*d + 10972. Is l a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let a be b(2). Let k = 7 + a. Solve 0 = 2*y + 3 + k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -406*a. Let j(y) = y. What is j(f(m))?\nAnswer: -406*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9) - (0 + 0). Let c = 32 + -17. Let x = 18 - c. What is the closest to -1 in h, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a)**(5\/9) assuming a is positive.\nAnswer: a**(-25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -36*r**3 + r**2 - r - 80*r**3 + 117*r**3. Let b be (-4)\/((-8)\/(2 + 2)). Let u(v) = -2*v**2 + 2*v + 1. Let l be u(b). Determine z(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117330 at least -117340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2076 or -2173?\nAnswer: -2173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-1) - (-27)\/3. Let h(t) be the first derivative of -7 + 0*t**x + 5\/3*t**3 - 5*t. Find the first derivative of h(l) wrt l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1663 - -1661. Let g be 3*(-4)\/54*3. Which is the third biggest value? (a) j (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4470165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18925 to three dps.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 0 + 2 - u. Calculate the remainder when 41 is divided by t(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 270. Suppose 6 = 5*d - g. Suppose d = 3*l - 18. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 4. Let g(l) be the second derivative of l**3\/6 - l**2\/2 - 31*l. What is 9*g(i) + 2*p(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*s = 37, -407*a - 4*s - 21 = -408*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 5, i: 4, v: 6}. What is prob of sequence mmjm?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 40 = 5*d - 7*c, 5*d = 4*c + 42. Let y(j) = -3*j + 3. Let a(v) = v. Let g(m) = a(m) + y(m). Let x(i) = i - 2. What is d*x(p) + 6*g(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9500 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2444 and 18894?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4863741, -9727481, -14591221, -19454961?\n\"Answer: -4863740*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 1. Let t(f) = -f**3 - 5*f**2 + f - 5. Let d(h) = 3*h**3 - 220*h**2 - 149*h + 73. Let z be d(74). Give z*t(q) + 3*o(q).\nAnswer: q**3 + 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 91, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, -6\/47, -18, 2556?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 7*m**2 + 5*m - 14. Let a be l(-8). Suppose 8*j = a*j + 22400000. What is j rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 m when three letters picked without replacement from npxpvxxmnzxnxzxxx.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 19771?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16838359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 6*f, -3*j - 33 = -6664*f + 6666*f for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-55) - 94\/(-572). Let j = l + 2\/13. Let y = -2 - -4. Sort y, -1, j in decreasing order.\nAnswer: y, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, 1\/25, 42?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 261*m + 23400.\nAnswer: -(m - 600)*(m + 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o = -6*o + 214508. What are the prime factors of o?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 0*a - 20 = 4*a, 0 = a + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 120*t**2.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(2\/120). Suppose -y = -5*j + 5*x, 0*x + 3*x = -3. Is 2\/j*80\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380707121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.2. Suppose u = -0*u - 4, -3*u = -3*k. Let l be 2\/(-4)*k\/(-17). What is the closest to l in -0.2, -1\/2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -88, -308, -742, -1462, -2540, -4048, -6058?\nAnswer: -8642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -449*l - 13939. Calculate m(-31).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92253230*f**3 + 2*f**2 + 4*f + 48145990.\nAnswer: 553519380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6264 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3621 divided by -1207\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-348))\/((-11)\/(-2794)). Let l = -6\/29 + p. Which is the closest to 2\/7? (a) 1 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.3, -2, 39.8, -0.1, 22\/5, 5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-1 - -3 - (-6 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20))**2*-4.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(27) - (sqrt(54)\/sqrt(2) - sqrt(27)))**2 - -3*sqrt(108).\nAnswer: 26 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -14*l - 169 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 448768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.397 and -201.\nAnswer: -280.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/25*5 + (-2)\/(-5). Let z(o) = 4 - 4 + 1. Let b(p) = 3*p + 7. Let j(v) = r*z(v) + b(v). Calculate j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -22 + 607 + -598.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let m(x) = 6 - 2 + x**2 - 2 + 0*x**2 + 2*x. Let t(s) = 17 - 17 - 2 + 3. Calculate v*t(h) - m(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-4935)\/1820)\/47)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (-2 + (sqrt(1100) - (sqrt(1100) + 3 + sqrt(1100) - sqrt(1100)))) - (6*1*sqrt(1100) - sqrt(1100)))**2.\nAnswer: -400*sqrt(11) + 17625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -256, -1\/8 in descending order.\nAnswer: -1\/8, -2\/15, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Let u = 1271 - 1274. What is the closest to u in 0, -3\/5, a, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*l + 13. Suppose -2*j + v + 28 + 1 = 0, l*v + 28 = 2*j. Calculate the remainder when 58 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3193 - 3641 = -270*g - 1434 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 79, 140, 207, 274, 335, 384?\n\"Answer: -a**3 + 12*a**2 + 20*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.5 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + -140. What is the closest to 0.1 in -1, 8, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s = -70*s + 163*s - 200 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/172*(-182)\/84*(-18)\/26.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*k = -7, -b - 5*k - 7 = -9*k. Let f(a) = 58*a**2 + 75*a + 16. Is f(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let q = 3612 + -3612. Suppose -4*z = i*x - 874, -2*x - 5*z + 592 = -q*x. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, -4, 2, 0 in descending order.\nAnswer: 2, 1, 0, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 8*p**2 - 12*p + 13. Calculate i(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Suppose m*k = 2*h - 824, -k - 4 = -2. Suppose 0 = -4*i - 20, -3*i + h = 4*f - 22. Calculate the remainder when f is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2173*-0.0767.\nAnswer: 166.6691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6768*w**4 + 2717?\nAnswer: -27072*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 15. Suppose -3*y - i + 17 = 0. Sort -4, 5, y in decreasing order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and 167\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l**2 - 1009*l + 1009*l. Let r(t) = -12*t**2 + 6*t - 3. Let k(n) = -13*n**2 + 8*n - 4. Let o(g) = -3*k(g) + 4*r(g). Give x(o(c)).\nAnswer: 1053*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3187, 4\/5, -0.5, 5.\nAnswer: -3187, -0.5, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 200 (b) 1\/236 (c) -27\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:53 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 2 - 4*f**2 + 1 - 2*f + 7*f**2 as r + z*f + x*f**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s + 259 = -233 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.012292ns?\nAnswer: 0.0000000000335382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 255294612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 155\/9 + 5\/(135\/(-6)). Let p = 2950 + -829. Suppose 650 = r*t - p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -35*w**3 - 4*w**2 - w - 5. Let c(s) = 9*s**3 + s**2 + 1. Calculate -9*c(y) - 2*n(y).\nAnswer: -11*y**3 - y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 + 690769*w + 2763092 = 0. What is w?\nAnswer: -4, 690773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111223 - 313?\nAnswer: -112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*p - 9. Let o be (9\/(-102))\/(3\/p). Let x be (-42)\/70 + 16\/(-40)*12\/(-8). Are o and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3582710000 to the nearest 1000000.\nAnswer: 3583000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 4*c + 5*c)*(-5*c - 3*c + 4*c + (1 - 1 + 3*c)*(0 - 4 + 5) - 4*c + 5*c - 2*c) to a*c**2 + t + b*c and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.42835 millilitres in litres?\nAnswer: 0.05542835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - 28*m - 2. Determine i(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -488.4 + 490.4. What is the nearest to 1 in p, -4, 3\/2, 41?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 413 + -174. List the prime factors of b.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379037855?\nAnswer: 5, 617, 771163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486670 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 3 = 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2 = 2*o + 3*v, v - 2 = 4*o. Let z = 6 + o. Put 0, z, -4 in descending order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 449.7 - 450. Let o = -2 + 6. Which is the smallest value? (a) h (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1375112 >= -1375112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 865590.9 millimeters in centimeters?\nAnswer: 86559.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**4\/y)\/(y*(y**(2\/15)\/y)\/y))\/(y**(1\/4)*y\/(y*y**4)))**(1\/28) assuming y is positive.\nAnswer: y**(577\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4 + 248*s**3 - 1514*s**2 - 6324*s - 5202.\nAnswer: -2*(s - 17)**2*(2*s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15493 - -15493. Factor -4\/7*z + h*z**3 + 4\/7*z**5 - 8\/7*z**2 + 0 + 8\/7*z**4.\nAnswer: 4*z*(z - 1)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 2002256*x**3 + 668212222500*x**2 - 74352191768355424*x + 4532997734636135818.\nAnswer: 2*(x - 333689)**3*(x - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2699 - 3537. Is -839 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3780*l - 3209*l - 593951 = -6336*l + 96749 for l.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z = 18*z, -6*b + 2*z + 2*z = -6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -5, 628, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.09964ug to tonnes.\nAnswer: 0.00000000001909964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1000391 divided by 27.\nAnswer: -1000391\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 28 = 2. Which is bigger: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111100100011011001 (base 2) in base 11?\nAnswer: -2564651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-49) + 117\/(-21). Let r(g) = 15*g**2 - 5*g + 9. Let p(d) = 16*d**2 - 5*d + 10. Let h(i) = -3*p(i) + 4*r(i). Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 2. Let d be b(0). Suppose -3*t = -y + 19, -d*y + 2*t = -7 - 19. Suppose -3*f + 5*f - y = 0. Solve -f*w = 1 - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1656203815 + 5\nAnswer: -1656203810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 3\/(0 + 1). Let l(x) = 19*x**2 + 4*x - 30. Let o be l(4). Suppose -12*v + o = 2. What is the highest common divisor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**0*o)\/o*o))**(1\/13)\/(o**0)**1)**40 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -172212 and 7.25.\nAnswer: -1248537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:51 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/76 (b) 1\/4 (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952068901?\nAnswer: 7, 17, 8000579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 86 = 4*l, -4*h + l + 91 = -h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -255.8172703364 and 0.029.\nAnswer: -255.7882703364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 228541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 12724313?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1026?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*(-8 - (-90)\/27). Solve 4*d - 27 = -b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-5))\/((k**(2\/3)*k*k)\/(((k**(-1\/4)\/k)\/k)\/k*k))*k**(-6)*k\/(k*k**2)*k*(k\/k**(-3))\/k*k**(3\/7) assuming k is positive.\nAnswer: k**(-461\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1124, 4499, 10124, 17999, 28124, 40499?\nAnswer: 55124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {o: 2, y: 4, n: 1, d: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 - (-12)\/(4\/1). Let s(q) = -28*q + n*q + 11*q. Let p(z) = 0 + 3 - 18*z**2 + 0 - 2. What is p(s(v))?\nAnswer: -18*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629061 = 63*q - 127*q + 61*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*b + 16 = 228*b + 5*d - 0, 0 = 3*b - 1140*d - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 41*i**2 + 2*i + 2. Let y be j(-1). Suppose 0 = -y*g + 46*g. Solve 4*t - 12 = -g*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-14))\/((-72)\/(-48))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2210)\/(-85)*(1 - 3\/2))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4753\/5 - 104671\/110. Calculate the common denominator of z and 127\/15966.\nAnswer: 175626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -16*m. Let x(f) = 21*f. Let s(j) = 3*c(j) + 2*x(j). Let h(n) be the first derivative of -3*n**2\/2 + 1. Determine s(h(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) + (sqrt(171) + 1*sqrt(171))*-6))\/(-6*(sqrt(9) - sqrt(36)) - sqrt(9))*-6)**2.\nAnswer: 98496\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3885 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9024 + 17063. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 26*a. Let o be 0 + (-13)\/(-5) + 44\/110. Let w(v) = -o*v + 0*v + v. Calculate k(w(g)).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10777061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*k + 2 = 0, 8*w - 6 = 3*w + k. Let n be (-14850051)\/(-45) - w - 6\/45. What is n rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-47)\/(-15) + 0 - (-24)\/(-180). Suppose n = 8*j - 21. Which is the smallest value? (a) j (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69088032 and 157248?\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 102*k - 66. Let z be b(5). Suppose 4*n + z = 4*o, 4*o + n - 303 - 136 = 0. Is o a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8143.141 millennia to centuries.\nAnswer: 81431.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by 33.\nAnswer: 101\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/10320 and -71\/36428.\nAnswer: 93984240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-39) + (8029 - 8032)\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 + 3*d**4 - d**5)*(2 - 2 - 1) + 17*d**5 + 189*d**4 - 189*d**4.\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/28*140\/220?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (-830160)\/(-18648) - 6\/14.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {j: 7, m: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 53*s + 73. Calculate the remainder when c(1) is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*r - 180218, -4*d + r + 24227 = -336231. What are the prime factors of d?\nAnswer: 2, 3, 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -11*w + 1. Let h(m) = m**3 + 3*m**2 - m - 1. Give h(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-10)\/(-4)*32\/(-40). Solve -k*w - 4*w + 11 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 1, b: 3, i: 6, e: 3}. Give prob of sequence eib.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/7 + 598398*k\/7 - 1196808\/7 = 0. What is k?\nAnswer: -199468, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 9*w + 16. Let c be k(7). Solve -c*f + 3*f = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 7085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79454 = -891*p - 396*p + 9349 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:52 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*p = 175, 0 = 3*m + 2*p - p - 97. Let k = 31 - m. Let g(r) = -5. Let x(z) = -z + 26. Suppose 0 = -4*b - 2 - 42. Calculate b*g(f) + k*x(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 12. Let f = -0.22 + 0.22. What is the closest to f in -5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/15 - 2*f**2\/15 - 2*f\/15.\nAnswer: 2*f*(f - 1)*(2*f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 3622034.\nAnswer: -3622033.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291927 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11906 or 11908?\nAnswer: 11908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-102)*((-165)\/(-22))\/(-5). Let u = 1 + -2. Which is the nearest to u? (a) v (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101345314 - 3?\nAnswer: -101345321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 11*b - 85. Suppose 0 = 3*x - 5*j - 40, 3*j - 31 = -2*x + 2*j. Suppose -a = -b + x. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6 = 4*n, b = n - b - 5. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 2310.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 16 = 9. Let g(d) = d - 1. Let k(u) = -1 + 3 - 4 - 4 + 4*u. Let f(n) = 3*g(n) - k(n). Give f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.03 + -0.03. Let r = 1 - g. Let k = -1491 + 1488. Which is the smallest value? (a) -1\/4 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644*p + 641*p = -6. Let x(d) = -p*d**2 - 2*d - 3 + 9 + 3*d**2 + 5*d + 3*d. What is x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-25 - -1 - -4) - 21?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15087918 (base 10) to base 11\nAnswer: 857585a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -0.1055\nAnswer: 3.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602118994.\nAnswer: 2, 9419, 31963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 - -5221893\nAnswer: 5221914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 60 + 26 - 8*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117508\/55 - -78\/55. Let f = 2131 + b. Calculate the common denominator of f and ((-2)\/6)\/((-12)\/(-9)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13065 or 13067?\nAnswer: 13065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1596, -1677, -1746, -1797, -1824, -1821?\n\"Answer: t**3 - 88*t - 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.06 - -0.08. Let v = 2035.52 + -2036. Let s = v - l. Which is the closest to -1\/5? (a) 0.4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + q. Let x be t(1). Let m = 3 + x. Differentiate -4*j**4 - 35*j**2 - m + 35*j**2 with respect to j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**2 + 0*c**2)*(-2*c**2 - 2 + 2) + 23*c**4 - 4 + 1 - 22*c**4 - c**4 - 2*c**4 - c**4 + (5*c**2 - 4*c**2 - 2*c**2)*(-2*c**2 + 3*c**2 + 0*c**2).\nAnswer: -2*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7555 + -2?\nAnswer: -7557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjjttttjtjttjjjttt. Give prob of picking 2 j.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-1728)*126*(-140)\/(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2927.9 + 2815. Round g to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11707704 - -5?\nAnswer: -117076bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.066*-316\nAnswer: 20.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595672.\nAnswer: 2, 13, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 72 + 1080 = 0. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 33*p**2 - 719*p + 44. Give c(-48).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2792 + 2778 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (1 - 1)) + 56 + -63?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:14 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24517 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56191803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 4 + 4 + (33 - 65 + 8)*(5*d**2 - d**2 - 3*d**2))*(-13 - 16*d**3 + 13).\nAnswer: 416*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9311, -9304, -9295, -9284, -9271?\nAnswer: -9256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-347)\/4 + 7\/(-28). Let t be z*(-4)\/12 + -2. Find the common denominator of 29 and (657\/t)\/(3\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/14 - -19\/7. Let n = 5\/3 - 17\/12. Which is the closest to 0.1? (a) f (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, and 1 p when three letters picked without replacement from ypyprrppvpypypypyp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 62 = 11. Suppose 5*f - g = -7. Find the first derivative of -f + 4*m - 4*m - m - 6*m wrt m.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.04, 1\/2, 4257, 5\/3 in decreasing order.\nAnswer: 4257, 5\/3, 1\/2, 0.04, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q + 486420 = 71*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 times -2034695\nAnswer: 46797985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 45 - (51 + -76)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/16 (b) -20 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*k = -11610, 2397 = -4*s + 3*k + 11687. Is s a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Let c = 10 - i. Suppose x = c*x. Solve x = 3*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3 = 6*g - g - u, 0 = 5*g - 2*u + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -43?\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 2657 + 2759. List the prime factors of h.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2. Let q(z) = -5282 - 16*z + 5282. Determine j(q(b)).\nAnswer: -1280*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -272*h**5\/5 - 729*h - 631. Find the first derivative of u(f) wrt f.\nAnswer: -1088*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - o + 9 + 173*o**3 + 36*o**3 - o.\nAnswer: 209*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388659?\nAnswer: 3, 129553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 + 9*b - 11. Let h be w(8). Let q be ((-15564)\/(-40))\/(1*h). Let u = q - -130. What is the common denominator of -35\/22 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2474349 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from qyqqqyq.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39323911589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008260812 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16112aa + 2?\nAnswer: -16112a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/(-149)*(180\/(-1755))\/(14\/(-91))\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -297 - -1333. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1926\/856)\/((-27)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, y: 2}. Give prob of sequence nnn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 80*s**3 - 3*s**2 + 5*s - 3. What is the remainder when t(1) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k - 47 = -5*l, -k - 32 = -4*l. Let u = 13 - l. Solve u = -p + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 b, and 1 g when four letters picked without replacement from {u: 2, g: 1, b: 3, v: 1, e: 6, a: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + u - 6*u - 13 = 0, v = 3*u + 5. Solve w = -a + 4, -w - 8 = -v*w - 3*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15726*g**4 + 5*g**3 + 26250*g**2 + 22*g.\nAnswer: -377424*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(0 + 4 - 5) + 3 - 2 + 7 + 9 + 2 - 10)*(-10*x**3 + 8*x**3 - x**3 - 1).\nAnswer: -33*x**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 3*sqrt(162)*-4 + sqrt(162))\/(sqrt(288)\/(sqrt(48)\/sqrt(4))).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -102.453603 and 6.73.\nAnswer: -95.723603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 m when four letters picked without replacement from {s: 2, n: 2, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 22 = -4*f, -8*c + 3*f - 6 + 29 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + g**5 + 0*g**5 + (0*g**2 + 0*g**2 + 2*g**4)*(-3*g + 0*g + 4*g) + g**5 + 0*g**5 + 0*g**5 + 32*g - 8*g - 24*g - 548*g**5 + g**5 + g**5 + 0*g**5.\nAnswer: -540*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 37 = -3*f, 16 = -3*g + 7*g. Let p(u) = -u**3 + 7*u**2 + 4. Determine p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814505231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 91. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*m + 5 = 0, -9*i = -7*i - 5*m - 14. Let z(h) = h**3 + 3*h**2 + 2*h - 2. Calculate z(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let a(g) be the first derivative of 4*g + 3*g - d*g + g**2 - 3. Calculate a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/6 + 498*q**2. Let d(a) be the third derivative of a**5\/60 + 10*a**2. Give d(h(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*(p*p**3)\/p)\/((p\/p**1)\/p*p*p\/p**0)*((p\/(p*p**(-1)))**16)**3 assuming p is positive.\nAnswer: p**(201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161537205 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*y - 4*y + 30 = 0, 4*q + y + 21 = 0. Let t(b) = -b**3 - 5*b**2 - 8*b + 4. What is the units digit of t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {m: 1, t: 1, v: 1, s: 2, l: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -2*(1*sqrt(143) - sqrt(143)) + sqrt(143))\/sqrt(11) + (4 + sqrt(468) + -5)**2.\nAnswer: -10*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -40200114 (base 5) to base 2\nAnswer: -1001101110101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + 2 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a micrometer in nanometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(8) - (sqrt(8) + -1)) + 5*sqrt(4)\/sqrt(2))*2 + 4*(sqrt(288)*-2 + sqrt(288))*-4)*3)**2.\nAnswer: 7272*sqrt(2) + 734508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, w: 5, c: 1, t: 2, o: 1}. Give prob of sequence nww.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/11)\/(-2)*0\/35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 81379337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 1. Let h be t(-3). Let q = 39 + h. Let m be -3 + 7\/2*4. Calculate the greatest common divisor of q and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/12 + 5 + -7. What is the second smallest value in 8, -1\/7, 0.02, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + 4 + 252\/40 and -57\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**4 - 4*o**2 + 214*o wrt o?\nAnswer: 36*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1\/3, 3, -0.3, -34?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1846*u**3 - 1503*u wrt u.\nAnswer: -11076*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.821 - 1.821. Let k = 0.1 - 0.4. Which is the closest to k? (a) q (b) -0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let y(d) = d - 6. Let s(f) = -1. Let p(l) = 6*s(l) - y(l). What is p(k(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7659.1 * -59.\nAnswer: -451886.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -579, 3\/8, -3?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12591582 - -2.\nAnswer: -12591580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12928\/(-2586) + 5\/1)*9. Let f be (4\/(31032\/10882))\/(-6). Let x = f - j. Find the common denominator of x and 89\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Suppose -3*a = -3*x - 45, 0*a - 3*a = -f*x - 46. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108227456 divided by 8.\nAnswer: -13528432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 17*z**2 - 4*z**2 - 8*z**2 - 10*z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3)*(26240\/(-448))\/(-41).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -458 + 313. Let n = 87 + l. Does 9 divide n*(-1 - 3\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + 1. Let l(g) = 5*g**3 - 6*g**2 - 4*g + 6. Let p(k) = -l(k) + 4*s(k). Suppose 8*o - 3 = 7*o. Calculate p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*d - 853 = 907. Let k(g) = 2*g**3 - 8*g**2 - 2*g + 8. Let w be k(6). Calculate the greatest common divisor of d and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/13 + 314*g\/13 - 80556\/13.\nAnswer: 2*(g - 137)*(g + 294)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/30)\/(2*1\/(-10)). Let l be (-6)\/z*(-28)\/21. Solve -2*b - l = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6719, -29229, -66741, -119249, -186747, -269229, -366689?\n\"Answer: j**3 - 7507*j**2 + 4*j + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7909555765 - 0.78.\nAnswer: -7909555765.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 126 = -7*m + 101, 0 = 5*m - s + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, -62, -272, -696, -1406, -2474, -3972?\n\"Answer: -12*s**3 + s**2 + 13*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14874, 29835, 44768, 59673, 74550, 89399, 104220?\n\"Answer: -14*u**2 + 15003*u - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 2163, -0.076?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36482, 4\/343, 9 in descending order.\nAnswer: 36482, 9, 4\/343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, r: 1}. What is prob of sequence hhh?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 11*s + 2. Let y be k(-11). Suppose -4*u = -y*u - 18. Calculate the highest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*(-32)\/6. Let p be (-2)\/(-8) - (-38)\/i. Suppose -a = -0*k + p*k - 484, -5*k + 488 = -3*a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b - 44. Let i be p(13). Let j = i - 661\/2. Factor j*s - 1 - 1\/2*s**3 - 3\/2*s**2 + 1\/2*s**4.\nAnswer: (s - 1)**3*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -19. Suppose 0 = 5*h - 2*r + 7*r - 45, 3*r = f. Suppose 0 = 3*i - 1 - 14. Solve i*v + 1 = -h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4562 - -0.5438. Put 1\/2, -0.07, -5, -0.5, s in ascending order.\nAnswer: -5, -0.5, -0.07, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -14, 351.\nAnswer: -14, -5, -3, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -40, -54, -64, -70, -72?\n\"Answer: 2*t**2 - 24*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15 = -5. Solve -3*k + 8 = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11513*s**4 + 70*s**2 - 25*s + 153699732.\nAnswer: 46052*s**3 + 140*s - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 2*h + 1. Let b be a(-2). Let r(u) = 131*u**2 - 3*u - 6. Let j be r(b). Suppose 353 = 5*p - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1060)\/(-424) + (0 - 1) - 4300\/2760?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 + 2*v + 3. Let b be o(-5). Let d(m) be the third derivative of -13*m**4\/24 - 19*m**3\/2 + 455*m**2. List the prime factors of d(b).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60015*f**3 + 38409642*f**2 - 6145562880*f + 4300800 = 0. What is f?\nAnswer: 14\/20005, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/284 - 6593\/5396. Which is the nearest to -0.3? (a) -21 (b) h (c) 0.02 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, m: 1, q: 2, k: 1, w: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 269 - 490 = 1397. Let j(y) be the first derivative of y**2\/2 + 7*y + 2. Let k be j(7). Calculate the greatest common factor of z and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.6 or -0.5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117663.\nAnswer: 193, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:40 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - -145. Let v = 200 - m. Solve v*w + 2 + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -1\/2 (c) 3\/4 (d) 17 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 2*t**2 + 2*t. Let s = 99 - 72. What is the remainder when c(3) is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 26 = 64. Let b = -13 + 27. Suppose s + s = 3*u - b, -2 = u + s. Solve -c = u*c + o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 5*p + 5*a, 4*a + 149 = 4*p - 47. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 9*a**2 + 9*a + 16. Calculate v(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -361 - -358. Let v = -5 - g. Sort v, 1, -4.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 + r. Let t be i(-1). Let b(g) = -g**3 + 6*g**2 + 5*g + 18. Let q be b(t). Solve -3*m = v - 10, -3*v = 2*m - q*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:13 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -307992*y - 460627.\nAnswer: -307992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 38198*f + 92332599.\nAnswer: -(f - 2281)*(f + 40479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 274413011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 62*a**4 + 31*a**3 - 41067*a**2 - 2*a.\nAnswer: -60*a**2 - 1488*a + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5801*r. Let t(m) = 3*m**2. Calculate t(c(g)).\nAnswer: 100954803*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 4 (b) -0.1 (c) 0.124 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344087?\nAnswer: 47, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 greater than or equal to 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -78. Suppose -9*h = -b*h. Solve 5*m = -h*m + 4*u - 28, 4*m = -5*u - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/584 and -85\/396.\nAnswer: 57816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -68 + 2 + -3 - -13) + (10 - 2)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335976321?\nAnswer: 3, 17, 607, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 8*c + 25. Let k = 67 + -61. Let m be s(k). Let y(v) = v**3 - 11*v**2 - 27*v + 10. Let i be y(m). Let n(q) = -q**2 - 1. Calculate n(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 16*g = 24*g + 442 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 1, g: 3, q: 2, m: 4}. What is prob of sequence hq?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -693 + 8521. Is 103 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 - 13*k**2 + k - 13*k**2 + 6*k**2 to n*k**3 + i*k + m + t*k**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06666 - 0.13334. Which is the closest to -1? (a) l (b) 3\/5 (c) 2 (d) 0.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6358 + 3.6358. What is the fourth biggest value in -0.5, -2, d, -7, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348499349 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/5 - 39069*t\/5 - 125072 = 0. Calculate t.\nAnswer: -16, 39085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 3041*x - 7059*x + 3026*x - 3*x**4 + x**4 + x**4 + (2*x**2 - 3*x**2 - x**2)*(2*x**2 + 2*x**2 - 2*x**2).\nAnswer: -2*x**4 - 992*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 2, d: 1, r: 3, c: 2, w: 10}. What is prob of sequence rd?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36c (base 15) to base 16\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635429 is divided by 1713.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4729 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + -0.8. Let f = 137.106 - 136.106. Which is the third biggest value? (a) r (b) f (c) 0.1 (d) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-36))\/((-1)\/2).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 - 17.3?\nAnswer: -387.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403310 to the power of 1\/2, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3, 1 in decreasing order.\nAnswer: 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112938 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fflkkffkllklfl. What is prob of picking 4 k?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 259527*n - 259482*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -64*s**5\/5 + 14*s**3 - 2*s + 40. Find the third derivative of y(u) wrt u.\nAnswer: -1536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*h**2 + 189*h + 29*h - 2*h**3 + 70*h - 49*h**2 to a + i*h**3 + b*h + w*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 6266?\nAnswer: 6264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, 39, -38, -181, -390, -665, -1006?\n\"Answer: -33*o**2 + 88*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1248 and 4941.\nAnswer: 2055456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 3 - 3*b**2 - 1 + 7*b - b**2. Calculate j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -44 - 12. What is the first derivative of -3 + s*j**2 - 2 - 3*j**2 + 6*j**2 wrt j?\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 + 2*u - 3. Let m(o) = -155 + 2*o - 356*o**2 + 311 + 364*o**2 - 160. What is -4*m(z) + 5*x(z)?\nAnswer: 3*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.11984 and -92129698.\nAnswer: -92129705.11984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 145.4744 millilitres?\nAnswer: 0.1454744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*b**3*t**2 + 1599*b**3*t - 2*b**3 + 2*b**2*t**2 + 2*b**2 + 7283*b + 4*t**2 wrt b.\nAnswer: -600*t**2 + 9594*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0 - 8*w + 0 + 4. Let a = 234 - 233. Let q(b) be the second derivative of -b**3\/6 + b**2\/2 + b. Give a*g(t) - 6*q(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.863 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2)*(1 + 0 - 3) + 4 - 2 - 3)*(7 + 1 - 3)*(-5 + 3*g**2 + 7 - 2*g**2).\nAnswer: -25*g**2 - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a41 (base 13) to base 5.\nAnswer: 144022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145076 or -145079?\nAnswer: -145076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1450)\/43500)\/(1\/30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7e5 - -3?\nAnswer: 7e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnnnngnnmpmmnggn. Give prob of sequence mnpn.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -136.85 and -0.032922.\nAnswer: -136.882922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 39, 2, -1, 9, -148 in increasing order.\nAnswer: -148, -1, 0, 2, 9, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 160*i**2 + 6*i + 4. Let v(d) = 6*d**3 + 318*d**2 - 15*d - 10. What is -5*q(f) - 2*v(f)?\nAnswer: 3*f**3 + 164*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/15)\/(-11)*-3)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjyfjyjwjjjfjjjyjj. What is prob of sequence jy?\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -16918080.\nAnswer: 33836160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from {r: 1, p: 5, c: 2, d: 3, z: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {l: 5, v: 1, a: 5, h: 8}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*m*s**4 - 8*m*s + 90*m - 16*s**6 + 320*s**3 - 303*s**2 wrt s.\nAnswer: 12696*m*s - 1920*s**3 + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70303 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20848782879 take away -0.5?\nAnswer: -20848782878.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 + 60*m**2 - 2353*m + 28362. What is c(12)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 + 4*d**2 - d**2)*(0 - 3*d + 0) + 57*d**2 - 53*d**2 - 11*d**2 + 15 + 29*d**3 to u*d**3 + g*d + c + a*d**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3017*v + 145159 + 14742 = 0 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*m)*(-9 - 11 + 28)*(0 + 4 - 3 - 3*m) - 20*m**2 + 10*m - 10*m to a*m**2 + o + d*m and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b**3 - 417*b**2 + 320*b + 28. Give s(27).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1020\/1360)\/((-180)\/(-16)))\/(1\/(-78)).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4490, -4814, -5138, -5462, -5786, -6110?\nAnswer: -6434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 617014.607 and 0.9?\nAnswer: 617013.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/4 - 1). Suppose d = k*d - 20. What is the smallest common multiple of 6 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2387315 divided by -2387315.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 3*y + 0*y + (-2 + 2 - 1)*(-y + 2*y + y) + 4*y - y - 9*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:52 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 16\/7. What is the fourth smallest value in z, 4, -2, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.036 - 44.964. Let p = -2322 + 2276.62. Let k = t - p. Round k to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*z + 79, 0 = 2*z + z - 5*q + 58. Let f be 3\/(-6)*(-3 + 1). Sort 4, f, z.\nAnswer: z, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 7*g**2 + g - 3. Let n(b) = b**3 - 26*b**2 + 49*b**2 + 8*b - 31*b**2. Let k be n(7). Give l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:31 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-3))\/(-3) - 1. Suppose c + 4*f - 2 = 3*f, f - 2 = -q*c. Let n(g) = -13*g + 3*g + 2 + 3*g + c. Give n(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*b + 4561 + 9917 = -34*b. Solve b = 4*f + 15*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 5*m, 5*q - 5 = -4*m + 4. Calculate the common denominator of (-1)\/(m*(3 - 1)) and ((-357)\/66 - -4) + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7*y - 288. Suppose j + 13 = y. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71582432 bigger than 71582435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -221211303300 (base 4) in base 5?\nAnswer: -10242342033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 1:27 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 31*l = 0. Is l >= -1\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85705?\nAnswer: 5, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {y: 1, f: 1, b: 1, v: 2, r: 2, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192676 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 + 4 = 0. Solve 15 = i + c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 9. Let b be (-1 - (-6)\/15)*w. Suppose -b*d = -4*d + 5. Is 0.3 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/((-240)\/20)*-7*18\/(-21)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 748, 763, 774, 775, 760, 723?\nAnswer: 658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15097 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55637\/1557 equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 18328?\nAnswer: 439872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 4*v = -2496. Suppose v = 5*s + 2*x, 3*s + 2*x + 37 - 153 = 0. What is the highest common divisor of 38 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11 = -1. Suppose 0 = -l + r*l - 5*o, o = 4*l + 38. What is the units digit of l\/25 - (-137)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1806*p - 541. Let h(u) = -2*u. Determine h(k(j)).\nAnswer: -3612*j + 1082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 4*b**2 - 11*b + 49. Let x(h) = -h**3 - 2*h**2 + 6*h - 27. Let u(c) = 6*l(c) + 11*x(c). Calculate u(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 12 + 5*u**3 + 15 - 3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 94\/3 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l**3 + l**2. Let p be q(1). Let y(s) = s + 11. Let b be y(-13). Let j be (0 - b)\/((-6)\/(-15)). Solve -j*m + p = -2*w + w, -9 = -3*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68754 is divided by 249?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 7:44 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/11 - 2852710*b**2\/11 + 5705428*b\/11 = 0.\nAnswer: -1426357, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 < -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 671 + -328. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 5*z**2 + 6*z - 3. Let y(s) = -s**2 - s + 1. Let b(w) = u(w) + 6*y(w). Let c be b(0). Find the first derivative of 0 - 5 + o**3 + 2*o**c wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 975, -1, -0.423, -0.4 in increasing order.\nAnswer: -1, -0.423, -0.4, 17, 975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24.5459922 + 1.122\nAnswer: 25.6679922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 - 2*f**4 + 5*f - 9*f**3 - 4*f**3 - 9*f**3 + 23*f**3 - 2 as u*f**4 + j*f + s*f**3 + i + m*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 - -10?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Let k = -16 + 18. Differentiate 1 - 2*h**z + k*h**4 + 2*h**4 wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24457 + 24464. Suppose 5*h = 2*h + 2316. What is the lowest common multiple of h and u?\nAnswer: 5404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + 5*h - 5. Suppose -6*v + 18 = u - 3*v, 34 = 3*u + 5*v. Let b(p) = -4*p - 3 + 3*p**2 + 6 + p - 5*p**2. What is u*f(o) + 5*b(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u**2 - u. Let f(i) = -5*i**3 - i - i**2 - i**2 + 1 - i. Let y = 31 + -29. Let q(p) = y*l(p) - f(p). Find the first derivative of q(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18017313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p**2 - 5 + 7*p**2 + 4)*(-p - 2 + 2).\nAnswer: 10*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -19, -21, -25, -31?\n\"Answer: -w**2 + 3*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4352)\/512)\/((-4)\/(-6)))\/(9\/(-36))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 7. Let d = -2 + c. Let k = 6 - 6. Solve 2*m + k*m = d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36991178 and 15778?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12287883*y + 7769983 with respect to y.\nAnswer: -12287883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 + -125. Is 116200\/130 - y\/26 - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52230 is divided by 188.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*z**3 - 124*z**2 + 286973 with respect to z.\nAnswer: 519*z**2 - 248*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-6))\/((-15)\/(-20)). Let v = 737\/3 + -245. What is the fourth smallest value in -5, v, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19077 equal to -76303\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = 8*f - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -11. Is 23 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/6 + m**2 - 3*m - 3. Let c(u) be the first derivative of g(u). Differentiate c(h) wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(16)*-6).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/3 - 386*f\/3 = 0. Calculate f.\nAnswer: -193, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3830 - 3830.087. Which is the nearest to f? (a) 0.3 (b) 2\/3 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*c - 21, -3*c + 18 = 3*w - 27. Let a = -1362 - -1362. Solve -k - w = -4*k, 2*r + k + 2 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 + -0.5. Suppose j - 24 - 94 = 0. Let s = j - 233\/2. Which is the second biggest value? (a) i (b) -0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaycxgxwwagx. Give prob of sequence wgw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 32 = -4*h, -716 + 788 = 5*v - 4*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -674 + 0?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3203, -3192, -3179, -3164, -3147, -3128?\nAnswer: -3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2546.418 rounded to the nearest 10?\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 7*r**5\/10 - r**4\/12 - r**3\/6 + r**2\/2 + 2661*r. Calculate z(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2859, -11500, -25887, -46020, -71899, -103524?\nAnswer: -140895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 17694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1564710 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 67650750?\nAnswer: 67650775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -133.21409453.\nAnswer: -134.21409453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 12 = -10*o - 4*p, -5*o + 12 - 66 = 28*p for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224703803 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sexk when four letters picked without replacement from ekaxkkpaakse?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370935 and 9720.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13437 - 13437 - 132*i**3 + (-i**2 + 4*i**2 - 5*i**2)*(0 + i + 0 + (2 - 4*i - 2)*(1 - 1 + 1)) in the form y*i**2 + l*i**3 + a + s*i and give l.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 6. Let s(o) = 8*o + 5. Let j(n) = 39*n + 24. Let b(g) = -5*j(g) + 24*s(g). Let k be b(-1). Let i be 0\/(k + -4 - 1). Determine l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(sqrt(171) - (3 + sqrt(171))) - -2*(sqrt(171) + sqrt(171)*1)))**2.\nAnswer: 2592*sqrt(19) + 98820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2. Suppose m + 2 + 3 = 0. Let x(d) = 7*d - 3. Let f(s) = -14*s + 5. Let g(w) = m*x(w) - 3*f(w). What is g(a(r))?\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7754*y**2 + 9136*y - 14. Let d(n) = -2588*n**2 - 3045*n + 4. Let g(j) = 7*d(j) + 2*h(j). Find the second derivative of g(c) wrt c.\nAnswer: -5216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15395 - -7753. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -1\/10, -1\/3 in increasing order.\nAnswer: -1\/3, -1\/10, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from fhbthuhhhhtt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u + 6*u)*(15 + 38 - 22)*(-14 - 3 + 8).\nAnswer: -1395*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770170, 1540342, 2310514, 3080686, 3850858, 4621030?\nAnswer: 5391202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from qkiqikjkjmkjjkljjk?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536 at most as big as 1\/4643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20202102 (base 3) to base 8\nAnswer: -11475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0. Let p be ((-12)\/(-80))\/((-39)\/(-36) - 1). Let w = -13\/10 + p. What is the closest to b in -0.5, 4\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -14, 0.625 in descending order.\nAnswer: 49, 0.625, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + ((-2)\/(-6) - 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4561*s**3 - 347*s**2 wrt s.\nAnswer: 27366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-209)\/308*(-8)\/(-2) - -3. Suppose 0 = -18*q + 20*q + 10. Which is the biggest value? (a) 0.03 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010 (base 2) in base 9?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = r - 25, 0*r = -5*q - 4*r + 25. Suppose -4*d + q*t + 51 = -56, 0 = -d - 5*t + 8. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 15) in base 16?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**3\/3 - 382735370*x**2\/3 - 306188284*x\/3 - 20412552.\nAnswer: -(x + 15309414)*(5*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62\/680*45420\/(-216). Let p = k - -7\/1224. Find the common denominator of -33\/5 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Let x = -0.97 - 55.03. Let l = x + 56.4. Which is the nearest to 1? (a) -4 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 227560 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**6 - 6*y**5 + y**2 - 11*y - 21. Let m(i) = -i**6 + i**5 + 2*i + 4. Let h(f) = 2*k(f) + 11*m(f). Find the third derivative of h(x) wrt x.\nAnswer: -120*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 113\/3. Let h = 7\/6 + v. What is the second smallest value in 3\/7, 1\/5, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqlqiylqnyqqqqqqyi. Give prob of picking 1 i and 1 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znhnzhkzzooznznhh. What is prob of sequence honh?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 5*j + 19*j - 4*j - 3*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196 + 294. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*k + 279 + 283*k - 283.\nAnswer: -4*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/((r\/(r*r\/r**(-1\/6))*r)\/r))\/(r**(2\/7))**(-2\/65) assuming r is positive.\nAnswer: r**(40759\/30030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/110 + 6\/4. Which is the nearest to -0.6? (a) -3 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c**3 + 21*c**2 + 21*c. Let t = 208 + -187. Let m(j) = -3*j**3 + 4*j**2 + 4*j. What is t*m(o) - 4*u(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1297 + 3?\nAnswer: -1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4 - 18 = -4*h + 45, -5*h - 3*a + 34 = 92 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98904.66 years to months.\nAnswer: 1186855.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**10)**(-6\/25))**(2\/85) assuming o is positive.\nAnswer: o**(-24\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34 + 12 - -4*(-2 - -1). Suppose j - 69 = -2*r - 0*j, j = r - g. Suppose 0 = -33*b + r*b. Put b, 3, 2, -3 in descending order.\nAnswer: 3, 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1975150, -3950293, -5925436, -7900579, -9875722, -11850865?\nAnswer: -13826008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61533105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000229374 rounded to 7 dps?\nAnswer: 0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1992 + 1992. Solve -3*d + 13*d = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7078 + 6*x + x - 7078.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 2. Let j be q(-2). Suppose 0 = 5*u + 4*z - 171, 4*u + 5*z - 137 = j*z. Suppose -u = -4*g + 45. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1468804.\nAnswer: 10281628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1553)\/12424 + (-298)\/(-720) - ((-22)\/(-18) + -1)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Suppose -6*i + 10*i - 8 = 0. Solve i = -2*k + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times -0.07?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2247038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2823 is divided by 728?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 49*h - 51*h - 12, -10*h = 3*q + 39 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 145507623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124609338 is divided by 27148?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((18\/(-5))\/((-68)\/85)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -50, -138, -304, -572, -966?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4)*(-21*f**5 - 46*f**5 + 6*f**5).\nAnswer: 244*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*32\/(-216)*(-51)\/595.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1287 divide 738732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.37 + -4.37. Let m = -2.37 - 0.23. Let u = 3.6 + m. Which is the closest to 1? (a) s (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1266112381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/133 at most -629452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6652, -13304, -19956, -26608?\nAnswer: -33260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4158 - -14225. List the prime factors of y.\nAnswer: 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234432 and 79328.\nAnswer: 15706944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1101, 4485, 10125, 18021, 28173, 40581, 55245?\nAnswer: 72165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*p = -0*l - 67, 0 = -p + 2. Suppose -r - 5 = -0. Let x = r - l. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9863 = -2*f, -566*g - 3 = -567*g. List the prime factors of f.\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7055 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, 4, -223 in descending order.\nAnswer: 19, 5, 4, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 517\/44)\/((-10)\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.471 + 19.471053424. Round y to 6 dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 272295, 544588, 816881, 1089174?\n\"Answer: 272293*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-24) + (42\/(-8))\/7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.413082 rounded to 3 dps?\nAnswer: -0.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 16*v - 6. Let q(f) = -145*f + 55. Let g(i) = -55*n(i) - 6*q(i). Let o(y) = -9*y - 39. Let l be o(-5). Let x(t) = 6*t - t - l*t. Determine g(x(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 314537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4221*s - 8091 + 8091.\nAnswer: 4221*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 5, m: 3}. Give prob of sequence amm.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dd802 - -1?\nAnswer: 2dd803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 16*w**7 + 179*w**3\/3 + 440. Find the third derivative of x(q) wrt q.\nAnswer: 13440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30616899595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -550 + 625.9. Let t = -76 + n. Which is greater: t or -20.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39353 - -39874. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56046899, -56046907, -56046927, -56046965, -56047027?\n\"Answer: -z**3 - z - 56046897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(588)\/(sqrt(12) - sqrt(60)\/sqrt(5)*3))\/(1*sqrt(700)*-3*2).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 3, d: 2, x: 2}. Give prob of picking 1 d and 2 x.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 - -3.1. Let x = -1.2 - m. What is x rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 - 5\/12*j**4 - 1\/30*j**6 + 0*j - 9*j**2 + 0*j**3 + 0*j**5. What is the second derivative of p(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**3\/6 - 23*u**2\/2 + 2680*u. Let q(d) = -30*d**2. Give q(n(m)).\nAnswer: -30*m**2 + 1380*m - 15870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (67 + -82)) + 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20140 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 9)*(-4 + 0 - 1)*(-b**2 + 12*b**2 - 2*b**2)*(-4*b + 9*b + 4*b + 27*b) as l*b**2 + i + a*b**3 + n*b and give a.\nAnswer: 11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-15) - 124\/40*-124?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733707809.\nAnswer: 523, 1402883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 14 = -54. Let l(y) = -16*y**3 + 98*y. Let z(o) = -5*o**3 + 33*o. Let r(m) = x*z(m) + 3*l(m). Find the second derivative of r(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100895911 - -111908.\nAnswer: -100784003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8814, 17647, 26478, 35307, 44134, 52959, 61782?\n\"Answer: -j**2 + 8836*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 5*x + 41. Give b(-7).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 4. Let q(j) = 4*j - 12. Let l be q(5). Suppose 0 = -7*h + l*h. Let c be d(h). Solve 10 = c*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133413698 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**2. Let j(l) = -5*l. Let p(a) = 11*a. Let k(f) = -9*j(f) - 4*p(f). What is k(x(c))?\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023310 less than 9023310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/((-20)\/3) - 4\/(8\/(-3)). Solve 53*q - 57*q + 8 = z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*b + 3 + (9 - 4*b - 9)*(-3 + 1 + 3).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -33. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x)*(56 - 6 + 35)*(69 - 14 - 4).\nAnswer: -4335*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426800.6 rounded to the nearest 100000?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 3) + 41\/(492\/40080) a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16457341, 16457319, 16457297, 16457275, 16457253?\n\"Answer: -22*p + 16457363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64525.\nAnswer: 5, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**4 + 0 + 1\/945*x**7 - 1\/270*x**5 + 0*x**3 + 0*x + 0*x**6 - x**2. Factor q(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + o**2 + 2*o**2)*(-3*o + o + o) - 2*o**3 - o**2 + o**2 - 6204*o**2 - 5*o**3 + 3*o + 12439*o**2 - 6213*o**2 - 4.\nAnswer: -8*o**3 + 22*o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552845448*c**2 - 2*c - 22763337 wrt c.\nAnswer: 1105690896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 5\/(-325))*-5. Let a be 1\/(-3)*3\/(-1). Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 3893 - 14438 = 0. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 117?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -15*c**2\/2 - 13*c - 1. Let r(w) = -9*w - 3*w + 7 + 20*w. What is 6*h(j) + 11*r(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/878 and -30\/439.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8473.401m?\nAnswer: 8473401000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 1 - 7*k - 15*k**2 + 1 to g*k + b + o*k**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1371 in descending order.\nAnswer: 2, 0, -1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1960)\/1568 - ((-1522)\/8 + -1). What is the greatest common divisor of b and 836?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152\/253 + -18\/23. What is the third smallest value in v, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1*6 - sqrt(70)) + sqrt(70) + -3*sqrt(70)*1)\/((sqrt(70) + sqrt(70)*2*-6)\/sqrt(7)*-4).\nAnswer: 3*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4112*p - 107553. Calculate f(-26).\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151806 (base 12) in base 4?\nAnswer: 120020301012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 - -7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 59 and -292371169.\nAnswer: -292371110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -15*l**2\/2 + 15711*l\/2 - 31302 = 0.\nAnswer: 4, 5217\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:55 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) - (sqrt(20) - (3 + 1*sqrt(20) + sqrt(20)))) + sqrt(20) + sqrt(45)\/(-6*sqrt(18)\/sqrt(2)))*-4 + -1)**2 + 0.\nAnswer: 1820*sqrt(5)\/3 + 26021\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 3442 - 1868. Let m be (c\/(-6))\/((-2)\/80). What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39311.8 rounded to the nearest 100?\nAnswer: -39300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 - 2) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide ((-1323)\/(-84))\/((-5)\/(-200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(1 + 3 - 2)*(-253*i + 508*i - 183*i - 2*i**3).\nAnswer: -4*i**3 + 144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:48 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-152)\/(-532) + 80\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80))**2 + (sqrt(45)*1)\/sqrt(9).\nAnswer: sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 e when four letters picked without replacement from fheffvhhfhfffffhf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/12 + (-6)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-32 + 26 + -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 406. Let k(g) = g + 403. Determine -4*k(s) + 3*x(s).\nAnswer: -s - 394","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 6*g + 30. Calculate n(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d. Let g(x) = 2 - 6 + 4 + x. Calculate y(g(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(68) + 0 + sqrt(68) + -4)**2*-1 + (sqrt(119) - (sqrt(119) - -1*sqrt(119)*-1))\/(sqrt(847)*2) + -1.\nAnswer: -289 + 705*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 17. Let b be j(0). Let p be ((-10)\/15)\/(16\/(-12)). Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1464782.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -8, 15.\nAnswer: -8, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*c**2 + 305*c**2 - 97*c**2 + 4*c - 26*c**2 - 3*c.\nAnswer: 411*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 20.4. Let k = -35 - -35.5. Which is the closest to 0.1? (a) k (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -293, -1\/13, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**14*x**(-15)\/x)\/(x**5*x)**(-30\/11))**(-25) assuming x is positive.\nAnswer: x**(-3950\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4982537*i**2 - 4*i - 5*i + 4*i - 4982544*i**2 + 5*i + 0*i.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 + 2*p**2 - 12*p + 22. Give l(3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 3 - 1345*m - 1.\nAnswer: -1345*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y + y - 2*u, -3*u - 6 = 0. Let f(m) = -m**y + 4*m**2 - m**2 + 4*m**2 - 9*m. Let i be f(5). Solve i*q + 1 = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 359\/312 - 1\/39. Let t(y) be the first derivative of -v*y**2 + 3\/2*y + 4 - 5\/4*y**3. Factor t(d).\nAnswer: -3*(d + 1)*(5*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:56 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/5)\/((-81)\/(-8640)). Let t = n + 217. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2871056.\nAnswer: 2, 179441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*f - 3*j, f - j - 3*j = 13. Solve f = 2*r + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*i**2*r**3 + 2*i*r**3 + 5*r**3 - 40*r wrt i.\nAnswer: 380*i*r**3 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 1. Let l(r) = -4*r + 1. Let z(f) = 3*b(f) + 2*l(f). Let x(v) = -1. Calculate 2*x(k) - 2*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from mpbmulbp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 566736 smaller than 566669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -762 + 1413. Let n = 59 + -381. Let h = g + n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a factor of 1994295878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**6\/12 - 3*j**5\/10 + j**4\/8 + j**3\/2 - j**2\/2 + 9. Solve c(i) = 0 for i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -34*q**2 + 12 - 7*q - 1 + 27*q**2 - 3*q**3 + 4*q**3. What is the tens digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11 = -2*k, -4*k + 24*x - 21*x = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 19 - (-25 - -86).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -86, -113, -146, -185, -230?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3976*l + 254455. Determine r(64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**5 + 2*u**4 - 2*u**3 - 18*u - 2. Let d(l) = -l**4 + l**3 + l + 1. Let v(k) = 2*d(k) + t(k). Find the second derivative of v(c) wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w**2 + w + 4. Suppose 3*a = -v + 4*a + 7, 3*v - 36 = -2*a. Calculate the remainder when q(3) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -172, -153, -138, -133, -144, -177?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*(-90)\/15. Let o = -139 - -693\/5. Which is the biggest value? (a) 3 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1628 (base 16) to base 5.\nAnswer: 140142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 836, 1884, 3362, 5276, 7632, 10436, 13694?\nAnswer: 17412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 23, -2, -35, -76, -125?\n\"Answer: -4*i**2 - 5*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, -3, 5, 4.\nAnswer: -30, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 172176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 128, 144, 100, -28, -264?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 21, 4 in decreasing order.\nAnswer: 21, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45, -237, -553, -993, -1557, -2245, -3057?\n\"Answer: -62*j**2 - 6*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.48 and 1.7916?\nAnswer: -9.817968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.2232 - -0.0768. Let s = q + -53. Let r = 0.7 + s. Which is the biggest value? (a) 4\/7 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 33 + 33 - x**2 - 65. Suppose -5*v + p - 15 = 27, 4*p = -v. Let a be ((-10)\/v)\/((-1)\/4). Give i(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 687756*i**2 + 118251391125*i - 236505533282.\nAnswer: (i - 2)*(i + 343879)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -104412?\nAnswer: 104403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*n - 286*n + 78*n - 25*n.\nAnswer: -141*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -449 by 127.\nAnswer: -449\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -744*m**3 + 646*m**2 wrt m?\nAnswer: -4464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329557 is divided by 164128.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + i**3 + 2259*i - 2259*i + 18 - 12 - 35.\nAnswer: i**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167\/6 + 28. Let k = 110.06 + -110.12. Which is the closest to 0? (a) k (b) -7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -617900 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.2999276 - 44.3. Round f to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 41534292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 16*l**2 - 1. What is the units digit of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a - 75*a - 27*a - 76*a.\nAnswer: -137*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.82 (b) 4\/57 (c) -2.2 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(240)\/sqrt(5) - (1 + sqrt(3) + (sqrt(3) - sqrt(75)*-3 - sqrt(3))**2).\nAnswer: -681 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/193245 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388\/(-770) + (0 + 2 - 2) + (-800)\/(-80)?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 376564*t - 10167234. Determine s(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 1. Let p(y) = 10*y + 32. Let o(i) = -p(i) - 12*q(i). Calculate o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241662 is divided by 256.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 7*c - 8 = 0, 5*g = -4*c + 116. Let l(i) = 14*i + g*i - 18*i + 19*i. Let p(k) = 2*k**2 - k**2 + 0*k**2. Determine l(p(z)).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6) - 20\/(-24). Suppose 3*l + 4*c - 86 = 0, -3*c + 26 = l - h. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i - 68 + 5. Suppose 0 = -i*w - 4*q + 205, 4*q = 3*w - q - 250. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = 36*t - 190 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 + 1 = 0. Suppose -162 = b - o*b. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -7. Let l be 2\/1 - p\/(-60)*-18. Let s = l - -7\/15. Is -1\/4 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 5, s: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o + 12 = 0. Let g = o + 8. Is g at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -197796, -395593, -593390, -791187, -988984, -1186781?\n\"Answer: -197797*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 4. Suppose -2 - 3 = -j. Let s be d(j). Let v(p) = 0*p - s + 3 - p. Calculate v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t - 14. Let j(v) = -v**2 + 5*v + 17. Let y be j(6). Suppose -y*g = -60 - 28. List the prime factors of m(g).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 9. Let f be (2\/6)\/((-8)\/(-264)). Suppose 0 = -f*o + 7*o - 28. Determine j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1)\/2 + 14 + 2007\/(-162). What is the third biggest value in 2, q, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 1, -542 in increasing order.\nAnswer: -542, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-8)*k)**(1\/92) assuming k is positive.\nAnswer: k**(5\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 131783998 to the power of 1\/2, to the nearest integer?\nAnswer: 11480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 9. Let g(z) = z + 2. Let m(s) = 9*g(s) - 2*v(s). Let j(x) = -x**2 + 3*x - 3*x. Give m(j(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**2\/2 - t + 7. Suppose -42 = 7*n - 196. Let m(h) = 12*h - 11. What is n*z(j) - 2*m(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-3 + 4 - -3). What is the third derivative of -3*q**2 - 53*q**4 - q**m + 62*q**4 wrt q?\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-3\/22)\/w)**(-2\/49)\/(((((w*w*w\/w**(1\/5))\/w)\/w*w)\/w)\/(w\/w**(4\/11))) assuming w is positive.\nAnswer: w**(-536\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iil when three letters picked without replacement from {r: 1, i: 1, q: 2, l: 1, s: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 764133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 22, 59, 134, 259?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, c: 4}. What is prob of sequence cccd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 3.1. Put -0.29, -1\/2, p in decreasing order.\nAnswer: p, -0.29, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and 30169.\nAnswer: 11464.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2485039.\nAnswer: 29, 85691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5 + 10. Let r be (d + 0 + -4)*-1. Let j = -0.022 - 1.978. Which is the closest to 2\/3? (a) j (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -15*t + 11*t - 4, 0 = -2*a - 4*t - 12. Solve -19 = -y + 3*x, a*y + x - 6 = -x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240554*p - 225 = -240563*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -2477, -5616, -10011, -15662, -22569?\nAnswer: -30732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -27 + 15 - (-1 - -2)\/(-1). Let z(j) = 6*j - 17. Let w(q) = 2*q - 6. Let d(p) = p**2 - 4*p + 4. Let t be d(4). Calculate r*w(x) + t*z(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/7059 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 735702.9ms?\nAnswer: 735.7029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 8, w: 1, y: 1, z: 1, m: 2}. What is prob of picking 3 i and 1 u?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b**2. Let h(y) = 112*y**2 - 228*y**2 + 112*y**2. Determine h(d(t)).\nAnswer: -400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*-4*1295\/(-4144). Let h(u) = -2*u - 3. Let c be h(-3). Let t = 4 - 6. Put g, t, c in descending order.\nAnswer: g, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzpuufufflzrrz. Give prob of picking 1 u and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7316 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((30\/(-655))\/(-1))\/8. Let c = z + 3111\/5764. Find the common denominator of 32\/117 and c.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 232 - 150. Let s = f - 131. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/16203 and 26\/7048305?\nAnswer: 7048305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, 6.\nAnswer: -4, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 7. Let h(p) = -6*p - 20. Let w = 35 - 18. Calculate w*q(c) - 6*h(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**3 - 36*h + 0 - 1\/6*h**4 + 0*h**2. Let i(p) = 24*p**2. Determine j(i(s)).\nAnswer: -1152*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11*s - 18 - 19*s + 28*s.\nAnswer: -2*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 101*c**4 + 15728*c**3\/3 + 203372*c**2\/3 - 18928*c\/3.\nAnswer: c*(c + 26)**2*(303*c - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75908*q**3 - 4 - 2 - q**2 - 2*q**2 + q**2.\nAnswer: -75908*q**3 - 2*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/(4\/24). Let l = 7 - n. Suppose -3 - l = -4*t. Let v(q) = -q**3 + 3*q**2 + 3*q + 1. Determine v(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 676 or 69520\/103?\nAnswer: 69520\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.45545743\nAnswer: 0.091091486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 7*w**2 - 2*w - 3. Let n = -24 - -31. Calculate the smallest common multiple of n and c(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let u(j) = 2478045*j. What is y(u(v))?\nAnswer: -2478045*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + r**2 - 3 + r + (-2*r + 2*r - r**2)*(1 + 1 - 3).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5610005)\/10 + 8\/16. Round f to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/11)\/(2\/2)*13548\/2258?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 105688 = 2*m, -44*j + 3*m = -45*j - 26417. What is j rounded to the nearest one hundred?\nAnswer: -26400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020587151 rounded to six dps?\nAnswer: 0.002059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 19*j = -2*r - 1646, -2465 = -3*j + r. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255589?\nAnswer: 255589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 + 2*o + 1. What is q(3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/252 - (-2 + (-80)\/(-35)). Which is the closest to -1? (a) x (b) -0.4 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 1, c: 3, e: 2, f: 3, h: 1}. Give prob of sequence ecf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26907142699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c - 24*c + 7 + 5 - 5 + 4*c. Let t(x) = -3*x + 3. Calculate -2*n(k) + 5*t(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 + -6.4. Let w be -3*(34\/6 + -5). Let j be (5\/(195\/(-6)))\/(-1 - w). Is i at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 19*h - 15. Let d be x(-14). Calculate the highest common factor of 44 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3362327*f + 2711. Let o be x(-7). Round o to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18972242 and 86778.\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 0*s**4 + s**4 + (95*s**2 - 51*s**2 - 3*s**2)*(3*s**2 + 3*s**2 - 5*s**2).\nAnswer: 42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -955636*i**3*r**3 + 16*i**2*r**3 - 2*i**2*r + 11*i*r**2 + 15*i - r wrt i?\nAnswer: -5733816*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/((-10)\/7) + 518. What is the greatest common divisor of 150 and k?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021110122 - -110?\nAnswer: -2021110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, -7, 130 in decreasing order.\nAnswer: 130, 3, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 302*r**2 + 296*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 375793 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/30)\/(-4) - (-24553)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 75, 77, 79, 81, 83, 85?\n\"Answer: 2*l + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1010183704 divided by 4\nAnswer: 252545926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -407405 by 85.\nAnswer: -4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 r when four letters picked without replacement from rrrrrorrorrroo?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 20*n + 3. Let q be s(-9). Suppose 18*a - 6 = q*a, 0 = -5*j + 5*a + 320. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 24 = 4*h, -y - 1467*h + 19 = -1472*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-77 - (-10 + -39)) + -1 + (2 - 2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 7250?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/c**18)\/c*c*c**17 assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 6*(((sqrt(2)*-2*1)**2 + 3)*4 + 3) + -3.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 11) in base 14?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 342 (c) 54 (d) 204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7232288*n*t**2 + 2667*n*t - n + 138*t + 2 wrt t.\nAnswer: 14464576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j**3 - 37*j**3 - 29*j**3 - 11*j**3 - 22*j**3.\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3*t**3 + c**3*t - 49*c**2*t**2 + 486*c*t**3 + 10*t**2 wrt t?\nAnswer: -24*c**3 + 2916*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(-26 - 21 - 19)*(-4*k + k + 11*k + (-2*k + k - k)*(-3 + 3 + 1) + 5*k - 4*k - 2*k) as v + w*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (-1*((sqrt(210) + 1*sqrt(210))\/sqrt(10))\/(sqrt(175)*2)*-3)**2.\nAnswer: -48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:23 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -1, 8, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**3 + 224*p**2 - 2884*p + 2664 = 0.\nAnswer: 1, 18, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53141 (base 8) to base 10\nAnswer: 22113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -95*u + 95. Suppose n = 215*j - 218*j - 12, 4*n = -3*j - 21. Let h(v) = 8*v - 8. Give j*k(c) - 35*h(c).\nAnswer: 5*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-14)*(32\/6)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2369, -4771, -7173, -9575?\nAnswer: -11977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10254192257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 (base 16) in base 9?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -238\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 4 - 11 - (-14 + -49 + 30).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j - 3057. Let f(g) = 26*g + 12197. Calculate 6*f(v) + 22*u(v).\nAnswer: 2*v + 5928","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 1358 + 2740 - 1375 + x**2 - 4*x**3 - 3*x**2. Determine l(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**3 - z**2 + 1. Let a be y(1). Suppose -4*c = a - 26. Solve i - 4 = -c*x, i + 2*x + x = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 87 = 5*q - 13, 0 = -3*q - w + 68. Solve -q = 3*b + 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*o + 10, 5*o = 20. Let d be (-4)\/j - (-4)\/10. Suppose -2*s + 5*s = d, 2*s = 2*y - 14. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/179574 and 3\/926.\nAnswer: 83142762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10 + 3*l + 10 - l. Let v(y) = 25*y**2 - 2. Let g be (2 - (-2 - -3)) + -5. Let p(k) = -k**2 + 1. Let u(q) = g*p(q) - v(q). Calculate d(u(n)).\nAnswer: -42*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -411, 5, 3, -15 in descending order.\nAnswer: 5, 3, 2, -2, -15, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*x - 4448 + 1593 - 5812 = 0. Suppose -b + t + 4 = -12, -2*t = -5*b + 86. Calculate the smallest common multiple of x and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*i + 4, -17*i - 4 = 3*t - 13*i. Suppose g - 4*k - 4 = -0*g, -4*g + 2*k + 16 = t. Calculate the smallest common multiple of g and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r - 10*p = -14*p + 1131884, -5*r - p + 182563 = 0. What is the highest common divisor of r and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.347 at least 60407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n**2 + 2. Let w(f) = -8*f - 24. What is w(h(m))?\nAnswer: 152*m**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0*a*a*a*a))**(-4\/11))**(2\/21) assuming a is positive.\nAnswer: a**(8\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/164104 and -79\/56?\nAnswer: 1148728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/120 + o**5\/60 - o**4\/24 + 26*o**2 + o. Let h(d) = -15*d**3 - 4*d**2 + 4*d. What is -4*b(n) - h(n)?\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8394367*b**3*r - 128312*b**2*r - 3*b**2 - 2*b wrt b.\nAnswer: 50366202*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-224)\/(-378))\/16)\/(((-4)\/((-40)\/(-165)))\/(-9))?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/((3\/3)\/(-3)*3). Let l(a) = -8*a + d*a + a. Let n(q) = 5*q. What is n(l(z))?\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 168 - (-1)\/((-3)\/(-6)). Suppose 4*t - 5*q = -152 - 107, -2*q + 196 = -3*t. Let l be 8\/6*(-1683)\/t. What is the highest common factor of l and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 43216*c**2 - 6*c + 2*c - 43222*c**2.\nAnswer: -6*c**2 - 4*c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 0, 25, 2, -0.1, 0.3 in decreasing order.\nAnswer: 25, 2, 0.3, 0, -0.1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oss when three letters picked without replacement from {s: 2, o: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + y + 1, 3 = 14*y - 17*y. Let x = t + 8. Solve x = -7*p + 9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (2 - 1 - -2). Solve 2*q = 3*q + r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 6 = -w + 36*i, 5*w + 5*i + 5 = 0. Solve -6*u + w = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144554597.\nAnswer: 11, 37, 355171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1414 + -46?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3733 - 2616. Let r = 2410 - k. List the prime factors of r.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 - 8640326?\nAnswer: -8640382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s - 3*s - 2*s + 4*s - 3*s - 2 - 2*s + 2 - 4*s + 5*s - 3*s + (-3 + 0 + 1)*(-4*s + 3*s + 2*s) - 2*s + 3*s - 3*s)*(s**2 - s**2 - 2*s**2).\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 3*r - 9. Let c be t(6). Let u be 11 - c - (-1)\/1. Solve -3*h = 9 - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-5 + 6 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6349, -6666, -7163, -7816, -8601, -9494, -10471?\nAnswer: -11508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 44. Solve -2*p + p - h + 8 = 0, n*h = -2*p + 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from aapipipippiii?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 490768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 651.7 - 715. Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317100208?\nAnswer: 2, 661, 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8982292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365 - -573. Suppose 4*u + u + 260 = 2*q, -4*u + 2*q - r = 0. What is the units digit of 3\/(-4 + (-212)\/u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/5 + 4696*q**4\/5 + 553186*q**3 + 11012116*q**2\/5 + 13745216*q\/5 + 5494336\/5 = 0. What is q?\nAnswer: -1172, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 4897414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + (-5 - -9 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24930, 25291, 25898, 26757, 27874, 29255?\n\"Answer: d**3 + 117*d**2 + 3*d + 24809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/9 - 79396*u\/3 - 119774890\/9 = 0. Calculate u.\nAnswer: -118589, -505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 18\/11*z**3 + 48\/11*z + 2\/11*z**4 + 52\/11*z**2.\nAnswer: 2*z*(z + 2)*(z + 3)*(z + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 2706466.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8182461 to the nearest integer?\nAnswer: 2861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064776 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121866 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 50*b + 12. Suppose -3*r + 8*r - 30 = 0. What is the units digit of l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - s**2 + 0*s**2)*(-4*s**2 + 2*s**2 + 0*s**2) + (0*s + 9*s - 3*s)*(-3*s**3 + 5*s - 5*s).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373.9 + -374. Which is the second smallest value? (a) 2\/9 (b) -1\/4 (c) -27\/23 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 16*q**2 + 14. Let p be k(-16). Let b be p\/77 - (-7476)\/22. Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let u(p) = p**3 + 2*p**2 + 2. Let t be u(-2). Let j be (-6)\/9*1\/t. Is j greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 17 + 7 = 0. Let a be j\/(-6) - (-46)\/4. Which is smaller: a or 35\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -36*o + 487. Determine h(11).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**3 - 3*w**2 - 3*w - 3. Let v(n) = -15*n**3 + 5*n**2 + 5*n + 5. Give -5*p(m) - 3*v(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006638 rounded to 5 dps?\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - z**2 - 3 + 5 + 2*z as x*z + i + b*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 3*c, -2*c - 8 = -4*o - c. Let v = 3 - o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 o when three letters picked without replacement from {x: 1, c: 1, o: 1, q: 4, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Suppose 4*g - 9*g = l. Find the second derivative of 2*m - 5*m - m - m**4 + g*m**4 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from fxxfgffxrxxrx.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -310?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304 and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 901095*k**4 - 3604326*k**3 - 1802202*k**2 + 10812969*k + 8109747 = 0.\nAnswer: -1, 3, 300361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(171) + (-1 + sqrt(171))*1 - 1*(sqrt(171) + 0)) + 1 + (-3 + (sqrt(171) + sqrt(171) + -1 - sqrt(171)) + -5)*-6))**2.\nAnswer: -14580*sqrt(19) + 64719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*j = -10, 5*j + 957 = 3*b + 920 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*-4377.\nAnswer: -227604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5496, -5494, -5492?\n\"Answer: 2*l - 5498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - a + 8 = 0, 3*r = a - 2*a - 16. Let f(s) = -s**3 - 13*s**2 - s + 33. Let q be f(-13). Let b(t) = -42*t + 6*t**2 + 87*t + t**3 - q*t - 1. Give b(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27377412?\nAnswer: 2, 3, 17, 43, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-9)*3*66. Let b(z) = x - 4*z - 22. Let o(a) = 5. Let n(s) = 2*s - 10. Let j(u) = n(u) + 2*o(u). Determine b(j(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360*b + 1802\/5 - 2\/5*b**2.\nAnswer: -2*(b - 1)*(b + 901)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 - 3.83. Let u = x - 1.5. Suppose 0 = k + 2, -v + k = v - 16. What is the second biggest value in v, 5, -0.3, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - x + 1 - 2. Let o be j(1). Let g(p) = p + 8. Let i be g(o). Solve -5*y + 1 = -i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*h**2 - 14*h**6 + h**3 + 24*h**6 + 2*h**2 - 12*h**6 wrt h.\nAnswer: -240*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1261640 (base 7) to base 2\nAnswer: 101000100110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*g + 10, g - 15 = 4*g - 2*j. Let h be 3*-1 + g + -16. Let u be (-8)\/h*(170 - -1). What is the greatest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(168\/(-162))*(-45 - (-6925)\/150)\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 2*c - 14. Is j(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/120 + 31*n**5\/30 + 155*n**3\/2 - 465*n**2. Find the first derivative of j(f) wrt f.\nAnswer: -3*f**2 + 124*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let r(d) = 26*d + 40*d + 0 - 49*d - 3. Determine b(r(x)).\nAnswer: 34*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 24 = 5*n, -41*y = -45*y - 4*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -363 + 3271\/9. Let h = -11.12 + 11. Let r = h + 0.22. Which is the nearest to 0.2? (a) -0.5 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4 + 13*h**3\/3 + 17. What is the third derivative of u(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(3*w**3 + w**3 - w**3)*(33*w + 30 - 30) in the form g*w**4 + h*w + z*w**3 + b*w**2 + s and give g.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Let z = -264 + 447. Let l = 187 - z. Solve -1 - 15 = l*r - u, v = r + 5*u + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 13}. What is prob of picking 2 o and 1 f?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c + i - 23, -i = c - 9. Solve c*k - 3*k = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*16\/(-444)*(1053\/(-468))\/((-6)\/4).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-1354 - 0 - 2)\/(356\/(-178))?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1, -12\/7, -11, 2, 27, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Let h(l) = -l**3 + 12*l**2 - 16*l + 57. Let z be h(11). Let n(o) = -11*o**z + 12*o - 12*o. Determine n(w(a)).\nAnswer: -99*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**3\/3 + 30. Let l(z) = -132*z + 154*z - 338*z - 90*z. What is n(l(s))?\nAnswer: 329672*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 28*x + 195. Let k be h(-7). Sort k, 4, -5, -3.\nAnswer: -5, -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}